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BEAM DESIGN CALCULATION
Project Name : HEALTH CENTER
Client Name : MARIKINA - CONCEPCION UNO
Engineer Name : NICOLAS G.
Analysis File : C:UsersANDT03DesktopConcepcion Uno Health
CenterCON_UNO_HEALTH_CENTER_ANALYSIS_REVISION02.STD
Analysis Last
Modified
: 17/01/2023 11:11:57 AM
Level Designed : 7.2m,10.2m,13.2m
Sr.No. Symbol Definitions
1 α =
Angle formed with horizontal line along length of
Beam
2 Ach =
Cross sectional area of structural member measures
to the outside edge of transverse reinforcement in
sqmm
3 Ag = Cross sectional area of concrete in sqmm
4 Ash =
Total cross sectional area transverse reinforcement
(including cross ties) within spacing S in sqmm
5 Avd =
Area of diagonal reinforcement in coupler beam in
sqmm
6 As = Area of Tension reinforcement required in sqmm
7 As,min = Minimum area of flexural reinforcement in sqmm
8 As,nominal = Nominal area of reinforcement in sqmm
9 Al =
Area of longitudinal reinforcement required to resist
torsion in sqmm
10 Al,face =
Area of longitudinal reinforcement required on each
face to resist torsion in sqmm
11 At Torsion = Area of closed stirrups resisting torsion in sqmm
12 AstPrv =
Area of longitudinal reinforcement provided at given
section in sqmm
13 Av =
Area of shear reinforcement required per meter
length in sqmm
14 Av,min =
Minimum area of shear reinforcement as per clause
11.4.6.1 in sqmm
15 Al,min =
Minimum area of longitudinal torsional
reinforcement as per clause 11.5.5.3 in sqmm
16 Av Total Reqd =
Total area of shear reinforcement required, including
that for torsion in sqmm
17 Av Total Prv =
Total area of shear reinforcement provided, including
that for torsion in sqmm
18 Ao = Gross area enclosed by shear flow path in sqmm
19 Aoh =
Area enclosed by centerline of the outermost closed
transverse torsional reinforcement sqmm, as per
clause 11.5.3.1
20 Ast =
Total area of longitudinal reinforcement calculated at
a given section in sqmm
21 Asr =
Area of Skin reinforcement calculated for given
section in sqmm
22 Asc =
Area of Compression reinforcement required for
doubly reinforced section or if torsion exists in sqmm
23 b = Width of the Beam in mm
24 bw = Width of Web ( For flanged Beam ) in mm
25 b' =
C/C distance between longitudinal reinforcement
along B in mm
26 bc =
Oustside dimension of transverse reinforcement in
mm
27 Cc = Effective Cover to tension reinforcement in mm
28 Cmin = Clear cover in mm
29 c' =
Effective cover to reinforcement at compression face
in mm
30 d = Effective depth of Beam in mm
31 d' =
C/C distance between longitudinal reinforcement
along D in mm
32 D = Depth of Beam in mm
33 Es = Modulus of elasticity of steel in N/sqmm
34 f'c =
Specified compressive strength of concrete in cylinder
in N/sqmm
35 fs =
Calculated tensile stress in reinforcement at service
loads, N/sqmm
36 Hf = Thickness of Flange in mm
37 hx =
Maximum C/C horizontal spacing of hoops legs on
all faces in mm
38 Icr = Moment Of Inertia Of concrete crack section
39 l = Effective Length Of Beam (Clear Span) In mm
40 Legs = Number Of legs Of the shear reinforcement
41 Mcr = Cracking Moment
42 Mpr1 =
Hogging moments Of resistance Of member at the
joint faces In kNm
43 Mpr2 =
Sagging moments Of resistance Of member at the
joint faces In kNm
44 Mu = Factored Bending Moment at a section In kNm
45 Mubal =
Nominal flexural strength Of Singly Reinforced
Section At Balance Neutral Axis In kNm
46 Ptmin = Minimum percentage steel As per clause 10.5
47 PtPrv = Provided percentage steel
48 Stirrup = Bar mark representing shear stirrup
49 S = spacing Of confining links In mm
50 SCalc = Stirrup spacing calculated As per Asv In mm
51 Sprv = Stirrup spacing provided In mm
52 Tcr = Cracking torque under pure Torsion In kNm
53 Tu = Factored Torsional Moment at a section In kNm
54 Ve = Earthquake induced shear In kN
55 φVc = Reduced Shear strength provided by concrete In kN
56 Vu = Factored Shear Force at a section In kN
57 Vu-A1(sway Left) = VD+L
left - (Mpr1left + Mpr2right / L ) In kN
58 Vu-A2(sway Left) = VD+L
left + (Mpr2left + Mpr1right / L ) In kN
59 Vu-B1(sway Right) = VDL
Right - (Mpr1left + Mpr2right / L ) In kN
60 Vu-B2(sway Right) = VDL
Right + (Mpr2left + Mpr1right / L ) In kN
61 Vud = Design Shear Force In kN
62 Vs =
Nominal shear strength provided by shear
reinforcement In kN
63 Vu sway = Max (Vu-A1,Vu-A2) & (Vu-B1,Vu-B2) In kN
64 y = Neutral axis depth.
65 Φ = Strength reduction factor
All Forces are In kN, kNm, Stress In N/sqmm & Dimension are In mm.
Code References
ACI 318M - 2011
Sr.No. Item Clause / Table
1. Ptmax : 10.3.5
2. Ptmin : 10.5.1
3. Vc : 11.2
4. Asv : 11.4.7.2
5. Min Shear Reinf : 11.4.6
6.
Max Stirrup
Spacing
: 11.4.5.1
7.
Shear Reinf -
Torsion
: 11.5.3.5
8.
Side Face
Reinforcement
: 10.6.7
9. Tcr : 11.5.1
10. fs,perm : 10.6.4
11. fc,perm : 10.2.7.1
12. Wcr : Eq 4.2(a)
ACI 318M - 2011 Chapter 21
Sr.No. Item Clause / Table
1. Ptmin : 21.5.2.1
2. Asmin : 21.5.2.1
3. Sclc : 21.5.3.1 & 21.5.3.2
Group : G1
Beam No : B1
Analysis Reference
(Member)
7.2m : 27
10.2m : 29
13.2m : 31
Beam Length : 2000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 114 217 217 217 217 114
Critical L/C - RCDC 15 42 42 42 42 15
Mu (kNm) 160.081 95.427 188.87 225.697 111.857 163.111
As (flex) (sqmm) (C) 1064.65 617.65 1272.41 1546.99 728.86 1086.24
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.027 2.524 2.52 2.524 2.524 1.027
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 1064.65 617.65 1272.41 1546.99 728.86 1086.24
AstPrv (sqmm) 1256.64 1256.64 1884.96 1884.96 1256.64 1884.96
Reinforcement
4-#20 4-#20 4-#20
2-#20
4-#20
2-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 42 42
PtPrv (%) 1.252 0.835 0.835
Vu (kN) 233.36 217.48 197.2
Mu-Sect (kNm) 225.7 75.28 62.9
Φ Vc (kN) 106.25 111.59 111.59
Vs (kN) 169.48 141.19 114.15
Av (sqmm) 952.03 793.1 641.24
Tu (kNm) 2.52 2.52 2.52
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 952.03 793.1 641.24
Asv Reqd (sqmm) 952.029 793.102 641.236
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 2.52 kNm
Tcr/4 = 5.93 kNm
Beam Depth >= 900 Or Tu > Tcr/4,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 100 mm Hence OK
Group : G1
Beam No : B2
Analysis Reference
(Member)
7.2m : 106,171
10.2m : 107,173
13.2m : 108,175
Beam Length : 6600 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 216 217 107 217 216 216
Critical L/C - RCDC 41 42 8 42 41 41
Mu (kNm) 68.704 85.049 82.05 216.994 99.363 148.123
As (flex) (sqmm) (C) 440 548.2 528.21 1481.15 644.15 980.01
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.362 0.385 0.25 0.385 0.362 0.362
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 508.94 548.2 528.21 1481.15 644.15 980.01
AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1256.64
Reinforcement
3-#20 3-#20 3-#20 4-#20
2-#20
4-#20 4-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 47
PtPrv (%) 1.252 0.835 0.835
Vu (kN) 68.03 32.78 138.19
Mu-Sect (kNm) 67.85 10.34 104.8
Φ Vc (kN) 105.93 111.59 104.65
Vs (kN) - - 44.73
Av (sqmm) 295.89 295.89 295.89
Tu (kNm) 0.22 0.22 22.55
Aoh - - 120400
At (sqmm) - - 709.74
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 709.737
Av Total Reqd (sqmm) 295.89 295.89 960.98
Asv Reqd (sqmm) 295.894 295.894 960.977
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 22.55 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 113 mm Hence OK
Group : G1
Beam No : B3
Analysis Reference
(Member)
7.2m : 293
10.2m : 295
13.2m : 297
Beam Length : 5000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 114 217 107 217 107 216
Critical L/C - RCDC 15 42 8 42 8 41
Mu (kNm) 82.124 62.042 86.62 169.017 59.698 160.2
As (flex) (sqmm) (C) 528.73 396.31 558.65 1128.52 380.99 1065.5
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.171 0.214 0.21 0.214 0.21 0.167
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 528.73 508.94 558.65 1128.52 495.29 1065.5
AstPrv (sqmm) 942.48 942.48 942.48 1256.64 1256.64 1256.64
Reinforcement 3-#20 3-#20 3-#20 4-#20 4-#20 4-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 1
PtPrv (%) 0.835 0.626 0.835
Vu (kN) 38.14 13.48 35.84
Mu-Sect (kNm) 36.36 6.64 30.63
Φ Vc (kN) 102.79 106.05 103.63
Vs (kN) - - -
Av (sqmm) 295.89 295.89 295.89
Tu (kNm) 0.02 0.02 0.02
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 295.89 295.89 295.89
Asv Reqd (sqmm) 295.894 295.894 295.894
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G1
Beam No : B4
Analysis Reference
(Member)
7.2m : 394,472
10.2m : 397,473
13.2m : 400,474
Beam Length : 6000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 222 114 107 217 217 216
Critical L/C - RCDC 47 15 8 42 42 41
Mu (kNm) 28.259 104.264 89.4 154.478 138.164 207.393
As (flex) (sqmm) (C) 178.22 677.27 577.22 1024.87 910.23 1409.2
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 8.185 0.223 0.6 6.149 0.688 0.324
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) 729.35 - - 729.35 - -
Al (sqmm) (Tor.) (E) 210.08 - - 210.08 - -
Al (Dist) (sqmm) (D) 150.16 - - 150.16 - -
Ast (sqmm) 426.89 677.27 577.22 1175.03 910.23 1409.2
AstPrv (sqmm) 942.48 942.48 942.48 1256.64 1256.64 1884.96
Reinforcement
3-#20 3-#20 3-#20 4-#20 4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 46 1 1
PtPrv (%) 0.835 0.626 1.252
Vu (kN) 117.2 26.3 55.2
Mu-Sect (kNm) 94.39 10.82 49.42
Φ Vc (kN) 104.12 107.58 107.11
Vs (kN) 17.44 - -
Av (sqmm) 295.89 295.89 295.89
Tu (kNm) 20.38 0.43 0.43
Aoh 120400 - -
At (sqmm) 641.31 - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 641.315 0 0
Av Total Reqd (sqmm) 739.26 295.89 295.89
Asv Reqd (sqmm) 739.261 295.894 295.894
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 20.38 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 113 mm Hence OK
Group : G1
Beam No : B5
Analysis Reference
(Member)
7.2m : 551
10.2m : 555
13.2m : 559
Beam Length : 2000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 216 115 115 225 216 216
Critical L/C - RCDC 41 16 16 50 41 41
Mu (kNm) 177.452 93.256 171.38 170.89 106.077 214.183
As (flex) (sqmm) (C) 1189.31 603.07 1145.47 1141.97 689.56 1460.01
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 2.197 1.217 1.22 1.231 2.197 2.197
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 1189.31 603.07 1145.47 1141.97 689.56 1460.01
AstPrv (sqmm) 1256.64 1256.64 1256.64 1884.96 1256.64 1884.96
Reinforcement
4-#20 4-#20 4-#20 4-#20
2-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 41 41
PtPrv (%) 1.252 0.835 1.252
Vu (kN) 193.21 206.01 221.89
Mu-Sect (kNm) 169.63 71.42 214.18
Φ Vc (kN) 107.34 111.59 106.27
Vs (kN) 114.5 125.89 154.16
Av (sqmm) 643.21 707.19 865.96
Tu (kNm) 1.73 2.2 2.2
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 643.21 707.19 865.96
Asv Reqd (sqmm) 643.209 707.194 865.965
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G2
Beam No : B6
Analysis Reference
(Member)
7.2m : 172
10.2m : 174
13.2m : 176
Beam Length : 1275 mm
Breadth (B) : 250 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 328.03 kNm
As,min (flex) (B) : 363.53 sqmm
As,nominal (Bn) : 139.75 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 217 - - 219 219 219
Critical L/C - RCDC 42 - - 44 44 44
Mu (kNm) - - - 9.028 29.469 40.882
As (flex) (sqmm) (C) - - - 56.61 186.75 260.67
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) - - - - - -
Tcr/4 (kNm) - - - - - -
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 139.75 139.75 139.75 139.75 242.78 338.86
AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32
Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 1
PtPrv (%) 0.584 0.584 0.584
Vu (kN) 16.43 18.84 21.26
Mu-Sect (kNm) 6.47 13.96 22.48
Φ Vc (kN) 76.27 72.91 71.52
Vs (kN) - - -
Av (sqmm) 211.35 211.35 211.35
Tu (kNm) 0 0 0
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) - - -
Av Total Reqd (sqmm) 211.35 211.35 211.35
Asv Reqd (sqmm) 211.353 211.353 211.353
SCalc (mm) 215 215 215
SPrv (mm) 215 215 215
Av Total Prv (sqmm) 1052.09 1052.09 1052.09
Maximum Spacing Criteria
Basic
Spc1 =d/2 = 215 mm
Spc2 = 300 mm
Skin reinforcement
Beam Width = 250 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G2
Beam No : B7
Analysis Reference
(Member)
7.2m : 294
10.2m : 296
13.2m : 298
Beam Length : 5000 mm
Breadth (B) : 250 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 328.03 kNm
As,min (flex) (B) : 363.53 sqmm
As,nominal (Bn) : 139.75 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 114 225 107 217 217 216
Critical L/C - RCDC 15 50 8 42 42 41
Mu (kNm) 27.394 20.471 30.12 68.283 26.685 64.221
As (flex) (sqmm) (C) 173.41 129.12 190.94 441.99 168.86 414.75
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.001 0.145 0.15 0.171 0.171 0.024
Tcr/4 (kNm) 3.43 3.43 3.43 3.43 3.43 3.43
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 225.44 167.86 248.22 441.99 219.52 414.75
AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32
Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 1
PtPrv (%) 0.584 0.584 0.584
Vu (kN) 14.79 5.32 13.62
Mu-Sect (kNm) 17.26 0.51 14.34
Φ Vc (kN) 71.21 76.27 71.53
Vs (kN) - - -
Av (sqmm) 211.35 211.35 211.35
Tu (kNm) 0.07 0.07 0.07
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 211.35 211.35 211.35
Asv Reqd (sqmm) 211.353 211.353 211.353
SCalc (mm) 150 150 150
SPrv (mm) 150 150 150
Av Total Prv (sqmm) 1508 1508 1508
Maximum Spacing Criteria
Basic
Spc1 = 250 mm
Spc2 = 154 mm
Skin reinforcement
Beam Width = 250 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G2
Beam No : B8
Analysis Reference
(Member)
7.2m : 395
10.2m : 398
13.2m : 401
Beam Length : 1475 mm
Breadth (B) : 250 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 328.03 kNm
As,min (flex) (B) : 363.53 sqmm
As,nominal (Bn) : 139.75 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis - - 220 217 217 217
Critical L/C - RCDC - - 45 42 42 42
Mu (kNm) - - - 47.208 33.81 10.206
As (flex) (sqmm) (C) - - - 302.03 214.76 64.03
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) - - - - - -
Tcr/4 (kNm) - - - - - -
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 139.75 139.75 139.75 363.53 279.18 139.75
AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32
Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 1
PtPrv (%) 0.584 0.584 0.584
Vu (kN) 22.22 19.42 16.63
Mu-Sect (kNm) 26.58 16.35 7.49
Φ Vc (kN) 71.14 72.35 75.91
Vs (kN) - - -
Av (sqmm) 211.35 211.35 211.35
Tu (kNm) 0 0 0
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) - - -
Av Total Reqd (sqmm) 211.35 211.35 211.35
Asv Reqd (sqmm) 211.353 211.353 211.353
SCalc (mm) 215 215 215
SPrv (mm) 215 215 215
Av Total Prv (sqmm) 1052.09 1052.09 1052.09
Maximum Spacing Criteria
Basic
Spc1 =d/2 = 215 mm
Spc2 = 300 mm
Skin reinforcement
Beam Width = 250 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G3
Beam No : B9
Analysis Reference
(Member)
7.2m :
28,87,132,166,21
4
10.2m :
30,93,133,167,21
7
13.2m :
32,99,134,168,22
0
Beam Length : 8600 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 217 217 219 217 217 216
Critical L/C - RCDC 42 42 44 42 42 41
Mu (kNm) 45.785 122.837 27.83 216.977 149.996 161.367
As (flex) (sqmm) (C) 290.65 804.05 175.47 1481.02 993.21 1073.81
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 6.428 4.324 10.32 6.428 4.324 2.376
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) 729.35 - 708.81 729.35 - -
Al (sqmm) (Tor.) (E) 210.08 - 230.62 210.08 - -
Al (Dist) (sqmm) (D) 150.16 - 145.93 150.16 - -
Ast (sqmm) 508.94 804.05 417.83 1631.18 993.21 1073.81
AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96
Reinforcement
3-#20 3-#20 3-#20 4-#20
2-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 47 1 44
PtPrv (%) 1.252 0.835 0.626
Vu (kN) 49.1 48.05 153.32
Mu-Sect (kNm) 5.25 23.51 0.7
Φ Vc (kN) 119.6 109.65 107.58
Vs (kN) - - 60.98
Av (sqmm) 295.89 295.89 342.54
Tu (kNm) 23.61 1.34 20.16
Aoh 120400 - 120400
At (sqmm) 743.01 - 634.34
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 743.009 0 634.343
Av Total Reqd (sqmm) 743.01 295.89 976.88
Asv Reqd (sqmm) 743.009 295.894 976.881
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 23.61 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 113 mm Hence OK
Group : G3
Beam No : B10
Analysis Reference
(Member)
7.2m : 265,305
10.2m : 267,311
13.2m : 269,317
Beam Length : 5000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 114 216 107 217 107 216
Critical L/C - RCDC 15 41 8 42 8 41
Mu (kNm) 65.349 122.577 96.5 200.218 71.901 197.316
As (flex) (sqmm) (C) 417.97 802.26 624.88 1355.91 461.05 1334.46
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.006 0.676 0.87 0.344 0.875 0.676
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 508.94 802.26 624.88 1355.91 508.94 1334.46
AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96
Reinforcement
3-#20 3-#20 3-#20 4-#20
2-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 44 1
PtPrv (%) 1.252 0.626 1.252
Vu (kN) 160.86 45.79 40.62
Mu-Sect (kNm) 200.22 32.07 42.68
Φ Vc (kN) 103.87 102.94 105.4
Vs (kN) 75.99 - -
Av (sqmm) 426.85 295.89 295.89
Tu (kNm) 0.34 10.57 0.66
Aoh - 120400 -
At (sqmm) - 332.67 -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 332.667 0
Av Total Reqd (sqmm) 426.85 332.67 295.89
Asv Reqd (sqmm) 426.845 332.667 295.894
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 10.57 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 113 mm Hence OK
Group : G3
Beam No : B11
Analysis Reference
(Member)
7.2m :
396,436,483,55
2
10.2m :
399,437,487,55
6
13.2m :
402,438,491,56
0
Beam Length : 8000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 220 216 107 217 216 216
Critical L/C - RCDC 45 41 8 42 41 41
Mu (kNm) 58.626 109.865 62.65 166.725 132.161 198.545
As (flex) (sqmm) (C) 374 715.29 400.28 1112.09 868.47 1343.54
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 8.703 2.415 2.86 4.958 2.415 4.748
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) 729.35 - - - - -
Al (sqmm) (Tor.) (E) 210.08 - - - - -
Al (Dist) (sqmm) (D) 150.16 - - - - -
Ast (sqmm) 524.16 715.29 508.94 1112.09 868.47 1343.54
AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96
Reinforcement
3-#20 3-#20 3-#20 4-#20
2-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 46 1 46
PtPrv (%) 1.252 0.626 1.252
Vu (kN) 108.92 41.15 39.87
Mu-Sect (kNm) 92.44 44.53 37.5
Φ Vc (kN) 107.74 100.34 106.55
Vs (kN) 1.57 - -
Av (sqmm) 295.89 295.89 295.89
Tu (kNm) 3.68 1.35 19.53
Aoh - - 120400
At (sqmm) - - 614.49
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 448.826 0 614.493
Av Total Reqd (sqmm) 295.89 295.89 614.49
Asv Reqd (sqmm) 457.644 295.894 614.493
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 19.53 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 113 mm Hence OK
Group : G4
Beam No : B12
Analysis Reference
(Member)
7.2m : 600
10.2m : 601
13.2m : 602
Beam Length : 2000 mm
Breadth (B) : 250 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 328.03 kNm
As,min (flex) (B) : 363.53 sqmm
As,nominal (Bn) : 139.75 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 216 216 218 218 - 113
Critical L/C - RCDC 41 41 43 43 - 14
Mu (kNm) 4.106 5.66 4.11 0.001 - -
As (flex) (sqmm) (C) 25.68 35.43 25.68 0.01 - -
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) - - - - - -
Tcr/4 (kNm) - - - - - -
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 139.75 139.75 139.75 139.75 139.75 139.75
AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32
Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 1
PtPrv (%) 0.584 0.584 0.584
Vu (kN) 7.24 3.3 7.24
Mu-Sect (kNm) - 3.64 -
Φ Vc (kN) 76.27 71.38 76.27
Vs (kN) - - -
Av (sqmm) 211.35 211.35 211.35
Tu (kNm) 0 0 0
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) - - -
Av Total Reqd (sqmm) 211.35 211.35 211.35
Asv Reqd (sqmm) 211.353 211.353 211.353
SCalc (mm) 215 215 215
SPrv (mm) 215 215 215
Av Total Prv (sqmm) 1052.09 1052.09 1052.09
Maximum Spacing Criteria
Basic
Spc1 =d/2 = 215 mm
Spc2 = 300 mm
Skin reinforcement
Beam Width = 250 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G5
Beam No : B13
Analysis Reference
(Member)
7.2m : 88,142,215
10.2m : 94,147,218
13.2m :
100,152,22
1
Beam Length : 6600 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 114 217 217 217 216 216
Critical L/C - RCDC 15 42 42 42 41 41
Mu (kNm) 42.201 210.252 52.57 311.616 72.036 248.805
As (flex) (sqmm) (C) 267.54 1430.55 334.61 2233.15 461.94 1724.85
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.521 1.087 8.39 1.087 0.262 0.262
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - 729.35 - - -
Al (sqmm) (Tor.) (E) - - 210.08 - - -
Al (Dist) (sqmm) (D) - - 150.16 - - -
Ast (sqmm) 347.8 1430.55 508.94 2233.15 508.94 1724.85
AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2199.12
Reinforcement
4-#20 4-#20
2-#20
4-#20 4-#20
4-#20
4-#20 4-#20
3-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 44 44
PtPrv (%) 1.67 1.252 0.835
Vu (kN) 207.33 78.12 227
Mu-Sect (kNm) 311.62 81.91 13.46
Φ Vc (kN) 104.73 105.42 111.59
Vs (kN) 136.8 - 153.89
Av (sqmm) 768.44 295.89 864.43
Tu (kNm) 1.09 14.8 19.2
Aoh - 120400 120400
At (sqmm) - 465.61 604.25
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 465.605 1503.088
Av Total Reqd (sqmm) 768.44 465.61 1468.68
Asv Reqd (sqmm) 768.443 465.605 2367.521
SCalc (mm) 175 175 95
SPrv (mm) 175 175 95
Av Total Prv (sqmm) 1292.57 1292.57 2381.05
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 19.2 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 627.76 sqmm
SR provided = 3-#12EF
Asr provided = 678.6 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 75 mm Hence OK
Group : G5
Beam No : B14
Analysis Reference
(Member)
7.2m :
266,306,38
3
10.2m :
268,312,38
6
13.2m :
270,318,38
9
Beam Length : 5800 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 106 217 107 217 216 216
Critical L/C - RCDC 7 42 8 42 41 41
Mu (kNm) 34.681 172.277 70.28 280.159 120.691 191.089
As (flex) (sqmm) (C) 219.24 1151.95 450.38 1973.75 789.3 1288.65
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.372 1.177 0.61 1.177 0.148 0.148
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 285.01 1151.95 508.94 1973.75 789.3 1288.65
AstPrv (sqmm) 1256.64 1256.64 1256.64 2199.12 1256.64 2199.12
Reinforcement
4-#20 4-#20 4-#20 4-#20
3-#20
4-#20 4-#20
3-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 42 45
PtPrv (%) 1.461 0.835 1.461
Vu (kN) 232.75 179.39 192.65
Mu-Sect (kNm) 280.16 172.28 99.11
Φ Vc (kN) 105.58 102.74 119
Vs (kN) 169.56 102.21 98.2
Av (sqmm) 952.49 574.12 551.64
Tu (kNm) 1.18 1.18 15.06
Aoh - - 120400
At (sqmm) - - 473.9
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 1265.927
Av Total Reqd (sqmm) 952.49 574.12 1025.54
Asv Reqd (sqmm) 952.488 574.122 1817.57
SCalc (mm) 175 175 120
SPrv (mm) 175 175 120
Av Total Prv (sqmm) 1292.57 1292.57 1885
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 15.06 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 528.71 sqmm
SR provided = 3-#12EF
Asr provided = 678.6 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 85 mm Hence OK
Group : G5
Beam No : B15
Analysis Reference
(Member)
7.2m : 432,484
10.2m : 433,488
13.2m : 434,492
Beam Length : 5200 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 106 216 115 217 224 216
Critical L/C - RCDC 7 41 16 42 49 41
Mu (kNm) 33.271 190.931 76.31 280.895 48.177 271.277
As (flex) (sqmm) (C) 210.22 1287.49 490.16 1979.7 306.11 1902.3
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.923 0.581 1.33 1.88 0.284 0.581
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 273.28 1287.49 508.94 1979.7 397.94 1902.3
AstPrv (sqmm) 1256.64 1884.96 1256.64 2199.12 1256.64 2199.12
Reinforcement
4-#20 4-#20
2-#20
4-#20 4-#20
3-#20
4-#20 4-#20
3-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 42 41
PtPrv (%) 1.461 1.252 1.461
Vu (kN) 245.02 188.52 188.58
Mu-Sect (kNm) 280.9 186.06 271.28
Φ Vc (kN) 106.08 106.04 103.95
Vs (kN) 185.25 109.98 112.84
Av (sqmm) 1040.6 617.82 633.86
Tu (kNm) 1.88 1.88 0.58
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 1040.6 617.82 633.86
Asv Reqd (sqmm) 1040.598 617.819 633.863
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 1.88 kNm
Tcr/4 = 5.93 kNm
Beam Depth >= 900 Or Tu > Tcr/4,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 100 mm Hence OK
Group : G5
Beam No : B16
Analysis Reference
(Member)
7.2m : 553
10.2m : 557
13.2m : 561
Beam Length : 2000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 216 225 225 225 216 216
Critical L/C - RCDC 41 50 50 50 41 41
Mu (kNm) 182.502 99.548 189.16 177.982 113.455 215.636
As (flex) (sqmm) (C) 1225.94 645.4 1274.51 1193.14 739.75 1470.93
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.319 0.368 0.37 0.368 0.319 0.319
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 1225.94 645.4 1274.51 1193.14 739.76 1470.93
AstPrv (sqmm) 1256.64 1256.64 1884.96 2199.12 1256.64 1884.96
Reinforcement
4-#20 4-#20 4-#20
2-#20
4-#20
3-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 7 41 41
PtPrv (%) 0.835 0.835 1.252
Vu (kN) 192.21 201.47 206.18
Mu-Sect (kNm) 182.3 79.79 215.64
Φ Vc (kN) 102.83 111.59 105.45
Vs (kN) 119.18 119.85 134.31
Av (sqmm) 669.45 673.24 754.48
Tu (kNm) 0.33 0.32 0.32
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 669.45 673.24 754.48
Asv Reqd (sqmm) 669.453 673.244 754.485
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G6
Beam No : B17
Analysis Reference
(Member)
7.2m : 89,143
10.2m : 95,148
13.2m : 101,153
Beam Length : 6060 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 113 218 108 218 218 215
Critical L/C - RCDC 14 43 9 43 43 40
Mu (kNm) 38.324 231.201 30.09 315.948 21.978 310.117
As (flex) (sqmm) (C) 242.6 1588.95 189.9 2269.7 138.28 2220.55
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.738 6.291 3.38 6.291 6.291 1.818
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - 729.35 - 729.35 729.35 -
Al (sqmm) (Tor.) (E) - 210.08 - 210.08 210.08 -
Al (Dist) (sqmm) (D) - 150.16 - 150.16 150.16 -
Ast (sqmm) 315.38 1739.11 246.88 2419.86 374.97 2220.55
AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2513.28
Reinforcement
4-#20 4-#20
2-#20
4-#20 4-#20
4-#20
4-#20 4-#20
4-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 43 40
PtPrv (%) 1.67 1.252 1.67
Vu (kN) 203.5 163.03 205.06
Mu-Sect (kNm) 315.95 150.44 310.12
Φ Vc (kN) 104.44 106.76 104.68
Vs (kN) 132.08 75.02 133.85
Av (sqmm) 741.93 421.42 751.87
Tu (kNm) 6.29 6.29 1.82
Aoh 120400 120400 -
At (sqmm) 295.89 295.89 -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 295.894 295.894 0
Av Total Reqd (sqmm) 1037.82 717.32 751.87
Asv Reqd (sqmm) 1037.823 717.316 751.871
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 6.29 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 100 mm Hence OK
Group : G6
Beam No : B18
Analysis Reference
(Member)
7.2m : 251,307
10.2m : 255,313
13.2m : 259,319
Beam Length : 5540 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 113 218 108 218 215 215
Critical L/C - RCDC 14 43 9 43 40 40
Mu (kNm) 34.474 203.618 38.77 283.623 63.268 282.249
As (flex) (sqmm) (C) 217.91 1381.12 245.43 2001.82 404.33 1990.66
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.652 5.963 2.7 5.963 3.804 3.804
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - 729.35 - 729.35 - -
Al (sqmm) (Tor.) (E) - 210.08 - 210.08 - -
Al (Dist) (sqmm) (D) - 150.16 - 150.16 - -
Ast (sqmm) 283.29 1531.28 319.06 2151.98 508.94 1990.66
AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2513.28
Reinforcement
4-#20 4-#20
2-#20
4-#20 4-#20
4-#20
4-#20 4-#20
4-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 43 40
PtPrv (%) 1.67 1.252 1.67
Vu (kN) 195.9 155.99 196.19
Mu-Sect (kNm) 283.62 203.62 282.25
Φ Vc (kN) 105.08 103.48 105.14
Vs (kN) 121.09 70.01 121.4
Av (sqmm) 680.22 393.29 681.95
Tu (kNm) 5.96 5.96 3.8
Aoh 120400 120400 -
At (sqmm) 295.89 295.89 -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 295.894 295.894 0
Av Total Reqd (sqmm) 976.11 689.18 681.95
Asv Reqd (sqmm) 976.11 689.181 681.947
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 5.96 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 100 mm Hence OK
Group : G6
Beam No : B19
Analysis Reference
(Member)
7.2m : 419,485
10.2m : 423,489
13.2m : 427,493
Beam Length : 6000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 105 215 116 217 105 215
Critical L/C - RCDC 6 40 17 42 6 40
Mu (kNm) 31.349 222.552 37.48 293.809 21.095 298.602
As (flex) (sqmm) (C) 197.93 1523.13 237.21 2085.05 132.68 2124.58
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 3.146 7.295 1.03 6.163 6.081 7.295
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - 729.35 - 729.35 729.35 729.35
Al (sqmm) (Tor.) (E) - 210.08 - 210.08 210.08 210.08
Al (Dist) (sqmm) (D) - 150.16 - 150.16 150.16 150.16
Ast (sqmm) 257.31 1673.29 308.38 2235.21 367.7 2274.74
AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2513.28
Reinforcement
4-#20 4-#20
2-#20
4-#20 4-#20
4-#20
4-#20 4-#20
4-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 40 40
PtPrv (%) 1.67 1.252 1.67
Vu (kN) 194.35 156.45 196.29
Mu-Sect (kNm) 293.81 145.86 298.6
Φ Vc (kN) 104.68 106.65 104.62
Vs (kN) 119.56 66.4 122.23
Av (sqmm) 671.63 372.97 686.58
Tu (kNm) 6.16 7.29 7.29
Aoh 120400 120400 120400
At (sqmm) 295.89 295.89 295.89
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 295.894 295.894 295.894
Av Total Reqd (sqmm) 967.53 668.86 982.47
Asv Reqd (sqmm) 967.528 668.863 982.475
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 7.29 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 100 mm Hence OK
Group : G6
Beam No : B20
Analysis Reference
(Member)
7.2m : 554
10.2m : 558
13.2m : 562
Beam Length : 2000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 215 215 116 226 215 215
Critical L/C - RCDC 40 40 17 51 40 40
Mu (kNm) 206.078 99.751 181.37 179.936 128.436 250.295
As (flex) (sqmm) (C) 1399.41 646.77 1217.73 1207.31 842.67 1736.47
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 4.586 4.586 0.57 0.414 4.586 4.586
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 1399.41 646.77 1217.73 1207.31 842.67 1736.47
AstPrv (sqmm) 1884.96 1256.64 1256.64 2513.28 1256.64 1884.96
Reinforcement
4-#20
2-#20
4-#20 4-#20 4-#20
4-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 40 40 40
PtPrv (%) 0.835 0.835 1.252
Vu (kN) 221.34 235.15 248.96
Mu-Sect (kNm) 63.16 88.97 250.29
Φ Vc (kN) 111.59 111.59 105.84
Vs (kN) 146.34 164.75 190.82
Av (sqmm) 822.05 925.48 1071.92
Tu (kNm) 4.59 4.59 4.59
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 822.05 925.48 1071.92
Asv Reqd (sqmm) 822.047 925.478 1071.921
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 4.59 kNm
Tcr/4 = 5.93 kNm
Beam Depth >= 900 Or Tu > Tcr/4,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 100 mm Hence OK
Group : G7
Beam No : B21
Analysis Reference
(Member)
7.2m : 90,144
10.2m : 96,149
13.2m : 102,154
Beam Length : 6060 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 410 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 417.51 kNm
As,min (flex) (B) : 485.27 sqmm
As,nominal (Bn) : 186.55 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 113 215 108 218 108 215
Critical L/C - RCDC 14 40 9 43 9 40
Mu (kNm) 39.655 301.115 28.08 365.917 32.672 361.955
As (flex) (sqmm) (C) 263.8 2288.52 185.9 2907.72 216.72 2867.82
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 3.628 0.659 1.33 4.19 4.102 0.659
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 342.94 2288.52 241.67 2907.72 281.73 2867.82
AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6
Reinforcement
4-#20 4-#20
4-#20
4-#20 4-#20
4-#20
2-#20
4-#20 4-#20
4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 40 40
PtPrv (%) 2.189 1.751 2.189
Vu (kN) 226.73 208.2 229.59
Mu-Sect (kNm) 365.92 301.12 361.96
Φ Vc (kN) 101.3 100.2 101.54
Vs (kN) 167.25 143.99 170.73
Av (sqmm) 985.31 848.32 1005.86
Tu (kNm) 4.19 0.66 0.66
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 985.31 848.32 1005.86
Asv Reqd (sqmm) 985.309 848.32 1005.859
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 4.19 kNm
Tcr/4 = 5.93 kNm
Beam Depth >= 900 Or Tu > Tcr/4,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 87 mm Hence OK
Group : G7
Beam No : B22
Analysis Reference
(Member)
7.2m : 252,308
10.2m : 256,314
13.2m : 260,320
Beam Length : 5540 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 410 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 417.51 kNm
As,min (flex) (B) : 485.27 sqmm
As,nominal (Bn) : 186.55 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 113 218 108 218 215 215
Critical L/C - RCDC 14 43 9 43 40 40
Mu (kNm) 35.817 261.098 37.06 337.762 80.481 334.531
As (flex) (sqmm) (C) 237.89 1936.4 246.29 2630.31 544.82 2599.34
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.655 1.98 0.64 1.98 1.571 1.571
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 309.25 1936.4 320.17 2630.31 544.82 2599.34
AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6
Reinforcement
4-#20 4-#20
4-#20
4-#20 4-#20
4-#20
2-#20
4-#20 4-#20
4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 43 40
PtPrv (%) 2.189 1.751 2.189
Vu (kN) 226.03 206.48 224.25
Mu-Sect (kNm) 337.76 261.1 334.53
Φ Vc (kN) 102.11 101.51 102.13
Vs (kN) 165.23 139.96 162.83
Av (sqmm) 973.4 824.53 959.26
Tu (kNm) 1.98 1.98 1.57
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 973.4 824.53 959.26
Asv Reqd (sqmm) 973.404 824.528 959.264
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 1.98 kNm
Tcr/4 = 5.93 kNm
Beam Depth >= 900 Or Tu > Tcr/4,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 87 mm Hence OK
Group : G7
Beam No : B23
Analysis Reference
(Member)
7.2m : 420,486
10.2m : 424,490
13.2m : 428,494
Beam Length : 6000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 410 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 417.51 kNm
As,min (flex) (B) : 485.27 sqmm
As,nominal (Bn) : 186.55 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 105 218 116 218 105 215
Critical L/C - RCDC 6 43 17 43 6 40
Mu (kNm) 28.962 303.257 40.07 365.133 32.596 358.593
As (flex) (sqmm) (C) 191.81 2307.95 266.61 2899.8 216.2 2834.19
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.357 0.65 3.2 0.65 3.092 3.072
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 249.36 2307.95 346.59 2899.8 281.06 2834.19
AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6
Reinforcement
4-#20 4-#20
4-#20
4-#20 4-#20
4-#20
2-#20
4-#20 4-#20
4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 43 40
PtPrv (%) 2.189 1.751 2.189
Vu (kN) 233.44 212.27 224.09
Mu-Sect (kNm) 365.13 303.26 358.59
Φ Vc (kN) 101.62 100.32 101.38
Vs (kN) 175.77 149.27 163.62
Av (sqmm) 1035.5 879.4 963.92
Tu (kNm) 0.65 0.65 3.07
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 1035.5 879.4 963.92
Asv Reqd (sqmm) 1035.503 879.398 963.92
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 3.07 kNm
Tcr/4 = 5.93 kNm
Beam Depth >= 900 Or Tu > Tcr/4,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 87 mm Hence OK
Group : G8
Beam No : B24
Analysis Reference
(Member)
7.2m : 91,145
10.2m : 97,150
13.2m : 103,155
Beam Length : 6060 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 410 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 417.51 kNm
As,min (flex) (B) : 485.27 sqmm
As,nominal (Bn) : 186.55 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 113 215 108 218 113 215
Critical L/C - RCDC 14 40 9 43 14 40
Mu (kNm) 68.939 268.986 63.48 351.077 24.719 347.079
As (flex) (sqmm) (C) 464.34 2004.24 426.53 2759.76 163.43 2720.56
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 9.443 9.506 6.74 5.242 7.182 9.506
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) 728.45 727.04 729.35 - 729.35 727.04
Al (sqmm) (Tor.) (E) 210.99 212.39 210.08 - 210.08 212.39
Al (Dist) (sqmm) (D) 149.97 149.69 150.16 - 150.16 149.69
Ast (sqmm) 614.32 2153.93 576.69 2759.76 407.67 2870.25
AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6
Reinforcement
4-#20 4-#20
4-#20
4-#20 4-#20
4-#20
2-#20
4-#20 4-#20
4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 42 40 40
PtPrv (%) 2.189 1.751 2.189
Vu (kN) 200.34 183.22 223.54
Mu-Sect (kNm) 313.47 268.99 347.08
Φ Vc (kN) 101.62 100.07 101.7
Vs (kN) 131.63 110.86 162.45
Av (sqmm) 775.51 653.13 957.07
Tu (kNm) 7.67 9.51 9.51
Aoh 120400 120400 120400
At (sqmm) 295.89 299.14 299.14
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 295.894 361.439 299.14
Av Total Reqd (sqmm) 1071.4 952.27 1256.21
Asv Reqd (sqmm) 1071.402 1014.571 1256.206
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 9.51 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 87 mm Hence OK
Group : G8
Beam No : B25
Analysis Reference
(Member)
7.2m : 253,309
10.2m : 257,315
13.2m : 261,321
Beam Length : 5540 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 410 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 417.51 kNm
As,min (flex) (B) : 485.27 sqmm
As,nominal (Bn) : 186.55 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 105 215 116 218 215 215
Critical L/C - RCDC 6 40 17 43 40 40
Mu (kNm) 85.899 228.797 77.29 317.26 78.203 320.785
As (flex) (sqmm) (C) 582.89 1665.9 522.51 2436.62 528.87 2469.45
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 10.099 6.528 6.27 8.72 6.528 6.528
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) 713.78 729.35 729.35 729.35 729.35 729.35
Al (sqmm) (Tor.) (E) 225.66 210.08 210.08 210.08 210.08 210.08
Al (Dist) (sqmm) (D) 146.95 150.16 150.16 150.16 150.16 150.16
Ast (sqmm) 729.84 1816.06 672.67 2586.78 679.03 2619.61
AstPrv (sqmm) 1256.64 1884.96 1256.64 3141.6 1256.64 3141.6
Reinforcement
4-#20 4-#20
2-#20
4-#20 4-#20
4-#20
2-#20
4-#20 4-#20
4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 40 40
PtPrv (%) 2.189 1.314 2.189
Vu (kN) 214.78 180.32 216.6
Mu-Sect (kNm) 317.26 228.8 320.78
Φ Vc (kN) 102.24 98.89 102.21
Vs (kN) 150.06 108.58 152.52
Av (sqmm) 884.03 639.67 898.53
Tu (kNm) 8.72 6.53 6.53
Aoh 120400 120400 120400
At (sqmm) 295.89 295.89 295.89
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 295.894 404.346 295.894
Av Total Reqd (sqmm) 1179.92 935.56 1194.43
Asv Reqd (sqmm) 1179.924 1044.015 1194.428
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 8.72 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 87 mm Hence OK
Group : G8
Beam No : B26
Analysis Reference
(Member)
7.2m :
421,465,49
6
10.2m :
425,467,49
7
13.2m :
429,469,49
8
Beam Length : 6000 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 410 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 417.51 kNm
As,min (flex) (B) : 485.27 sqmm
As,nominal (Bn) : 186.55 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 105 218 116 218 105 215
Critical L/C - RCDC 6 43 17 43 6 40
Mu (kNm) 95.079 235.299 99.18 321.022 58.374 325.083
As (flex) (sqmm) (C) 647.82 1719.45 676.98 2471.67 391.4 2509.75
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 6.258 14.115 15.58 14.115 8.058 5.246
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) 729.35 624.06 591.41 624.06 729.35 -
Al (sqmm) (Tor.) (E) 210.08 315.37 348.03 315.37 210.08 -
Al (Dist) (sqmm) (D) 150.16 128.48 121.76 128.48 150.16 -
Ast (sqmm) 797.98 1847.93 798.74 2600.15 541.56 2509.75
AstPrv (sqmm) 1256.64 1884.96 1256.64 3141.6 1256.64 2513.28
Reinforcement
4-#20 4-#20
2-#20
4-#20 4-#20
4-#20
2-#20
4-#20 4-#20
4-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 40 41
PtPrv (%) 2.189 0.876 1.751
Vu (kN) 205.42 198.39 208.8
Mu-Sect (kNm) 321.02 46.75 284.69
Φ Vc (kN) 101.63 107.14 100.76
Vs (kN) 138.38 121.66 144.05
Av (sqmm) 815.27 716.75 848.68
Tu (kNm) 14.11 11.01 8.71
Aoh 120400 120400 120400
At (sqmm) 444.19 346.5 295.89
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 444.188 346.502 295.894
Av Total Reqd (sqmm) 1259.46 1063.25 1144.57
Asv Reqd (sqmm) 1259.461 1063.252 1144.572
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 14.11 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 729.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 429.03 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 87 mm Hence OK
Group : G9
Beam No : B27
Analysis Reference
(Member)
7.2m : 92,146
10.2m : 98,151
13.2m : 104,156
Beam Length : 6060 mm
Breadth (B) : 250 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 328.03 kNm
As,min (flex) (B) : 363.53 sqmm
As,nominal (Bn) : 139.75 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 215 221 110 218 - 221
Critical L/C - RCDC 40 46 11 43 - 46
Mu (kNm) 22.321 45.472 8.92 65.643 - 73.175
As (flex) (sqmm) (C) 140.92 290.65 55.92 424.28 - 474.97
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 5.659 3.769 7.26 3.476 - 3.769
Tcr/4 (kNm) 3.43 3.43 3.43 3.43 - 3.43
Al, min(sqmm)(Tor.) 502.05 542.1 454.12 542.1 - 542.1
Al (sqmm) (Tor.) (E) 168.97 128.93 216.9 128.93 - 128.93
Al (Dist) (sqmm) (D) 83.68 90.35 75.69 90.35 - 90.35
Ast (sqmm) 291.98 381 171.08 514.63 139.75 565.32
AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32
Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 44 44 45
PtPrv (%) 0.584 0.584 0.584
Vu (kN) 52.88 22.71 55.66
Mu-Sect (kNm) 30.54 15.16 36.22
Φ Vc (kN) 74.23 73.42 73.55
Vs (kN) - - -
Av (sqmm) 211.35 211.35 211.35
Tu (kNm) 8.84 8.84 8.81
Aoh 77400 77400 77400
At (sqmm) 432.64 432.64 431.23
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 432.638 432.638 431.226
Av Total Reqd (sqmm) 432.64 432.64 431.23
Asv Reqd (sqmm) 432.638 432.638 431.226
SCalc (mm) 150 150 150
SPrv (mm) 150 150 150
Av Total Prv (sqmm) 1508 1508 1508
Maximum Spacing Criteria
Basic
Spc1 = 250 mm
Spc2 = 154 mm
For Torsion
(X1 = 180, Y1 = 430)
Spc3 = X1 = 180 mm
Spc4=(X1+Y1)/4 = 150 mm
Skin reinforcement
Beam Width = 250 mm
Beam Depth = 500 mm
Tu = 8.84 kNm
Tcr/4 = 3.43 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 542.1 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 361.4 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 127 mm Hence OK
Group : G9
Beam No : B28
Analysis Reference
(Member)
7.2m : 254,310
10.2m : 258,316
13.2m : 262,322
Beam Length : 5540 mm
Breadth (B) : 250 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 328.03 kNm
As,min (flex) (B) : 363.53 sqmm
As,nominal (Bn) : 139.75 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 219 218 116 218 215 215
Critical L/C - RCDC 44 43 17 43 40 40
Mu (kNm) 13.6 28.509 6.61 61.556 12.633 88.199
As (flex) (sqmm) (C) 85.48 180.58 41.39 396.95 79.36 577.48
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 11.82 5.995 1.96 5.995 2.006 2.006
Tcr/4 (kNm) 3.43 3.43 3.43 3.43 3.43 3.43
Al, min(sqmm)(Tor.) 318.05 492.01 - 492.01 - -
Al (sqmm) (Tor.) (E) 352.97 179.01 - 179.01 - -
Al (Dist) (sqmm) (D) 58.83 82 - 82 - -
Ast (sqmm) 187.6 341.36 139.75 478.96 139.75 577.48
AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32
Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 44 44 1
PtPrv (%) 0.584 0.584 0.584
Vu (kN) 35.94 23.52 47.67
Mu-Sect (kNm) 9.19 5.15 45.1
Φ Vc (kN) 76.27 76.27 71.9
Vs (kN) - - -
Av (sqmm) 211.35 211.35 211.35
Tu (kNm) 11.82 11.82 1.69
Aoh 77400 77400 -
At (sqmm) 578.64 578.64 -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 578.638 578.638 0
Av Total Reqd (sqmm) 578.64 578.64 211.35
Asv Reqd (sqmm) 578.638 578.638 211.353
SCalc (mm) 150 150 150
SPrv (mm) 150 150 150
Av Total Prv (sqmm) 1508 1508 1508
Maximum Spacing Criteria
Basic
Spc1 = 250 mm
Spc2 = 154 mm
For Torsion
(X1 = 180, Y1 = 430)
Spc3 = X1 = 180 mm
Spc4=(X1+Y1)/4 = 150 mm
Skin reinforcement
Beam Width = 250 mm
Beam Depth = 500 mm
Tu = 11.82 kNm
Tcr/4 = 3.43 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 492.01 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 361.4 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 127 mm Hence OK
Group : G9
Beam No : B29
Analysis Reference
(Member)
7.2m : 422,466
10.2m : 426,468
13.2m : 430,470
Beam Length : 3740 mm
Breadth (B) : 250 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 328.03 kNm
As,min (flex) (B) : 363.53 sqmm
As,nominal (Bn) : 139.75 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 113 218 218 218 218 113
Critical L/C - RCDC 14 43 43 43 43 14
Mu (kNm) 5.893 32.891 32.89 74.116 25.824 5.061
As (flex) (sqmm) (C) 36.89 208.82 208.82 481.34 163.34 31.67
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.943 5.371 5.37 5.371 5.371 1.943
Tcr/4 (kNm) 3.43 3.43 3.43 3.43 3.43 3.43
Al, min(sqmm)(Tor.) - 510.63 510.63 510.63 510.63 -
Al (sqmm) (Tor.) (E) - 160.39 160.39 160.39 160.39 -
Al (Dist) (sqmm) (D) - 85.1 85.1 85.1 85.1 -
Ast (sqmm) 139.75 363.53 363.53 566.45 322.98 139.75
AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32
Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 45 45 45
PtPrv (%) 0.584 0.584 0.584
Vu (kN) 43.25 29.73 13.29
Mu-Sect (kNm) 57.43 10.61 16.02
Φ Vc (kN) 70.85 76.27 71.12
Vs (kN) - - -
Av (sqmm) 211.35 211.35 211.35
Tu (kNm) 5.57 5.57 5.57
Aoh 77400 77400 77400
At (sqmm) 272.8 272.8 272.8
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 272.803 272.803 272.803
Av Total Reqd (sqmm) 272.8 272.8 272.8
Asv Reqd (sqmm) 272.803 272.803 272.803
SCalc (mm) 150 150 150
SPrv (mm) 150 150 150
Av Total Prv (sqmm) 1508 1508 1508
Maximum Spacing Criteria
Basic
Spc1 = 250 mm
Spc2 = 154 mm
For Torsion
(X1 = 180, Y1 = 430)
Spc3 = X1 = 180 mm
Spc4=(X1+Y1)/4 = 150 mm
Skin reinforcement
Beam Width = 250 mm
Beam Depth = 500 mm
Tu = 5.57 kNm
Tcr/4 = 3.43 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 510.63 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 361.4 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 127 mm Hence OK
Group : G10
Beam No : B30
Analysis Reference
(Member)
7.2m : 450
10.2m : 456
13.2m : 462
Beam Length : 6000 mm
Breadth (B) : 300 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 393.63 kNm
As,min (flex) (B) : 436.23 sqmm
As,nominal (Bn) : 167.7 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 105 215 116 218 105 215
Critical L/C - RCDC 6 40 17 43 6 40
Mu (kNm) 117.672 88.414 116.09 212.273 73.867 218.034
As (flex) (sqmm) (C) 774.94 574.05 763.94 1470.74 476.34 1515.77
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.783 0.696 1.3 1.384 0.783 0.696
Tcr/4 (kNm) 4.63 4.63 4.63 4.63 4.63 4.63
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 774.94 574.05 763.94 1470.74 476.34 1515.77
AstPrv (sqmm) 942.48 628.32 942.48 1570.8 942.48 1570.8
Reinforcement
3-#20 2-#20 3-#20 3-#20
2-#20
3-#20 3-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 1
PtPrv (%) 1.218 0.487 1.218
Vu (kN) 41.72 14.59 42.74
Mu-Sect (kNm) 39.41 14.83 42.48
Φ Vc (kN) 91.03 85.3 90.58
Vs (kN) - - -
Av (sqmm) 253.62 253.62 253.62
Tu (kNm) 0.26 0.26 0.26
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 253.62 253.62 253.62
Asv Reqd (sqmm) 253.623 253.623 253.623
SCalc (mm) 165 165 165
SPrv (mm) 165 165 165
Av Total Prv (sqmm) 1370.91 1370.91 1370.91
Maximum Spacing Criteria
Basic
Spc1 = 300 mm
Spc2 = 166 mm
Skin reinforcement
Beam Width = 300 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G11
Beam No : B31
Analysis Reference
(Member)
7.2m : 12
10.2m : 18
13.2m : 24
Beam Length : 1350 mm
Breadth (B) : 300 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Cantilever Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 393.63 kNm
As,min (flex) (B) : 436.23 sqmm
As,nominal (Bn) : 167.7 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 222 222 - - 222 222
Critical L/C - RCDC 47 47 - - 47 47
Mu (kNm) 4.488 3.366 - - 5.61 13.464
As (flex) (sqmm) (C) 28.07 21.04 - - 35.1 84.52
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) - - - - - -
Tcr/4 (kNm) - - - - - -
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 167.7 167.7 167.7 167.7 167.7 167.7
AstPrv (sqmm) 628.32 628.32 628.32 1884.96 1884.96 1884.96
Reinforcement
2-#20 2-#20 2-#20 3-#20
3-#20
3-#20
3-#20
3-#20
3-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 1 1 1
PtPrv (%) 0.487 1.461 1.461
Vu (kN) 6.33 12.67 19
Mu-Sect (kNm) 1.78 2.49 9.62
Φ Vc (kN) 89.92 105.95 102.33
Vs (kN) - - -
Av (sqmm) 253.62 253.62 253.62
Tu (kNm) 0 0 0
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) - - -
Av Total Reqd (sqmm) 253.62 253.62 253.62
Asv Reqd (sqmm) 253.623 253.623 253.623
SCalc (mm) 215 215 215
SPrv (mm) 215 215 215
Av Total Prv (sqmm) 1052.09 1052.09 1052.09
Maximum Spacing Criteria
Basic
Spc1 =d/2 = 215 mm
Spc2 = 300 mm
Skin reinforcement
Beam Width = 300 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G11
Beam No : B32
Analysis Reference
(Member)
7.2m : 592,11
10.2m : 593,17
13.2m : 594,23
Beam Length : 4400 mm
Breadth (B) : 300 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 393.63 kNm
As,min (flex) (B) : 436.23 sqmm
As,nominal (Bn) : 167.7 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 120 219 109 219 120 222
Critical L/C - RCDC 21 44 10 44 21 47
Mu (kNm) 176.522 181.918 113.61 261.449 143.392 156.638
As (flex) (sqmm) (C) 1198.63 1238.93 746.69 1866.79 956.69 1052.32
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 1.57 2.42 1.9 2.42 1.57 0.595
Tcr/4 (kNm) 4.63 4.63 4.63 4.63 4.63 4.63
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 1198.63 1238.93 746.69 1866.79 956.69 1052.32
AstPrv (sqmm) 1570.8 1570.8 942.48 1884.96 1570.8 1570.8
Reinforcement
3-#20
2-#20
3-#20
2-#20
3-#20 3-#20
3-#20
3-#20
2-#20
3-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 44 44 47
PtPrv (%) 1.461 1.218 1.218
Vu (kN) 178.38 149.07 173.57
Mu-Sect (kNm) 261.45 17.97 156.64
Φ Vc (kN) 88.96 101.94 91.46
Vs (kN) 119.23 62.84 109.49
Av (sqmm) 669.73 352.99 615.02
Tu (kNm) 2.42 2.42 0.6
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 669.73 352.99 615.02
Asv Reqd (sqmm) 669.732 352.994 615.025
SCalc (mm) 165 165 165
SPrv (mm) 165 165 165
Av Total Prv (sqmm) 1370.91 1370.91 1370.91
Maximum Spacing Criteria
Basic
Spc1 = 300 mm
Spc2 = 166 mm
For Torsion
(X1 = 230, Y1 = 430)
Spc3 = X1 = 230 mm
Spc4=(X1+Y1)/4 = 165 mm
Skin reinforcement
Beam Width = 300 mm
Beam Depth = 500 mm
Tu = 2.42 kNm
Tcr/4 = 4.63 kNm
Beam Depth >= 900 Or Tu > Tcr/4,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 0 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 398.65 sqmm
SR provided = 2-#12EF
Asr provided = 452.4 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 100 mm Hence OK
Group : G11
Beam No : B33
Analysis Reference
(Member)
7.2m : 10
10.2m : 16
13.2m : 22
Beam Length : 2000 mm
Breadth (B) : 300 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 393.63 kNm
As,min (flex) (B) : 436.23 sqmm
As,nominal (Bn) : 167.7 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 112 227 117 219 222 222
Critical L/C - RCDC 13 52 18 44 47 47
Mu (kNm) 203.267 118.502 218.52 211.669 120.399 240.862
As (flex) (sqmm) (C) 1401.04 780.73 1519.58 1466.04 793.97 1697.65
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.643 1.862 1.83 2.272 1.079 1.079
Tcr/4 (kNm) 4.63 4.63 4.63 4.63 4.63 4.63
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 1401.04 780.73 1519.58 1466.04 793.97 1697.65
AstPrv (sqmm) 1570.8 942.48 1570.8 1570.8 942.48 1884.96
Reinforcement
3-#20
2-#20
3-#20 3-#20
2-#20
3-#20
2-#20
3-#20 3-#20
3-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 44 47 47
PtPrv (%) 1.218 0.731 1.461
Vu (kN) 238.41 231.15 246.36
Mu-Sect (kNm) 211.67 81.56 240.86
Φ Vc (kN) 91.61 93.93 92.48
Vs (kN) 195.73 182.96 205.17
Av (sqmm) 1099.5 1027.75 1152.5
Tu (kNm) 2.27 1.08 1.08
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 1099.5 1027.75 1152.5
Asv Reqd (sqmm) 1099.504 1027.75 1152.503
SCalc (mm) 165 165 165
SPrv (mm) 165 165 165
Av Total Prv (sqmm) 1370.91 1370.91 1370.91
Maximum Spacing Criteria
Basic
Spc1 = 300 mm
Spc2 = 166 mm
Skin reinforcement
Beam Width = 300 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G12
Beam No : B34
Analysis Reference
(Member)
7.2m : 56
10.2m : 67
13.2m : 78
Beam Length : 1600 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Cantilever Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 218 218 - - 218 218
Critical L/C - RCDC 43 43 - - 43 43
Mu (kNm) 51.066 21.069 - - 51.354 93.781
As (flex) (sqmm) (C) 324.83 132.52 - - 326.69 606.6
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 44.592 44.592 - - 44.592 44.592
Tcr/4 (kNm) 5.93 5.93 - - 5.93 5.93
Al, min(sqmm)(Tor.) 56.91 56.91 - - 56.91 56.91
Al (sqmm) (Tor.) (E) 996.35 996.35 - - 996.35 996.35
Al (Dist) (sqmm) (D) 205.13 205.13 - - 205.13 205.13
Ast (sqmm) 529.96 438.94 195.65 195.65 531.82 811.73
AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1884.96 1884.96
Reinforcement
3-#20 3-#20 3-#20 4-#20
2-#20
4-#20
2-#20
4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 43 43 43
PtPrv (%) 0.626 1.252 1.252
Vu (kN) 82.96 94.11 110.52
Mu-Sect (kNm) 10.22 25.24 93.78
Φ Vc (kN) 107.58 119.6 107.74
Vs (kN) - - 3.7
Av (sqmm) 295.89 295.89 295.89
Tu (kNm) 44.59 44.59 44.59
Aoh 120400 120400 120400
At (sqmm) 1403.31 1403.31 1403.31
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 1403.305 1403.305 1403.305
Av Total Reqd (sqmm) 1403.31 1403.31 1424.1
Asv Reqd (sqmm) 1403.305 1403.305 1424.105
SCalc (mm) 160 160 155
SPrv (mm) 160 160 155
Av Total Prv (sqmm) 1413.75 1413.75 1459.35
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
For Torsion
(X1 = 280, Y1 = 430)
Spc3 = X1 = 280 mm
Spc4=(X1+Y1)/4 = 175 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Tu = 44.59 kNm
Tcr/4 = 5.93 kNm
Tu > Tcr/4 ,
Hence Skin Reinforcement is Provided
Al Tor. (max) = 996.35 sqmm
Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
= 586.09 sqmm
SR provided = 3-#12EF
Asr provided = 678.6 sqmm
Spacing Criteria
Maximum Permissible Spacing = 286 mm
Provided Spacing = 85 mm Hence OK
Group : G12
Beam No : B35
Analysis Reference
(Member)
7.2m : 55
10.2m : 66
13.2m : 77
Beam Length : 6390 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 120 219 109 219 109 222
Critical L/C - RCDC 21 44 10 44 10 47
Mu (kNm) 72.882 88.474 77.59 268.887 59.968 249.951
As (flex) (sqmm) (C) 467.53 571.06 498.63 1883.21 382.76 1733.79
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.75 0.625 0.63 0.625 0.632 0.758
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 508.94 571.06 508.94 1883.21 497.58 1733.79
AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96
Reinforcement
3-#20 3-#20 3-#20 4-#20
2-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 44 1 47
PtPrv (%) 1.252 0.626 1.252
Vu (kN) 162.28 30.38 157.29
Mu-Sect (kNm) 268.89 28.92 249.95
Φ Vc (kN) 101.8 100.99 102.07
Vs (kN) 80.63 - 73.63
Av (sqmm) 452.94 295.89 413.6
Tu (kNm) 0.63 0.06 0.76
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 452.94 295.89 413.6
Asv Reqd (sqmm) 452.945 295.894 413.596
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G12
Beam No : B36
Analysis Reference
(Member)
7.2m : 54
10.2m : 65
13.2m : 76
Beam Length : 5800 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 112 219 117 219 117 222
Critical L/C - RCDC 13 44 18 44 18 47
Mu (kNm) 79.721 85.991 83.81 252.264 64.791 234.845
As (flex) (sqmm) (C) 512.77 554.48 539.96 1751.86 414.31 1616.86
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.394 0.844 0.78 0.844 0.776 0.328
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 512.77 554.48 539.96 1751.86 508.94 1616.86
AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96
Reinforcement
3-#20 3-#20 3-#20 4-#20
2-#20
4-#20 4-#20
2-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 44 1 47
PtPrv (%) 1.252 0.626 1.252
Vu (kN) 157.8 27.71 152.79
Mu-Sect (kNm) 252.26 23.64 234.85
Φ Vc (kN) 102.03 101.62 102.29
Vs (kN) 74.36 - 67.34
Av (sqmm) 417.73 295.89 378.27
Tu (kNm) 0.84 0.19 0.33
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 417.73 295.89 378.27
Asv Reqd (sqmm) 417.732 295.894 378.273
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
Av Total Prv (sqmm) 1292.57 1292.57 1292.57
Maximum Spacing Criteria
Basic
Spc1 = 350 mm
Spc2 = 178 mm
Skin reinforcement
Beam Width = 350 mm
Beam Depth = 500 mm
Depth =
500 < 900 and Tu < Tcr, Hence Skin Reinforcement is
not required.
Group : G12
Beam No : B37
Analysis Reference
(Member)
7.2m : 53
10.2m : 64
13.2m : 75
Beam Length : 3810 mm
Breadth (B) : 350 mm
Depth (D) : 500 mm
Effective Depth (d) : 430 mm
Design Code : ACI 318M - 2011
Beam Type : Regular Beam
Grade Of Concrete (f'c) : C28 N/sqmm
Grade Of Steel : Fy414 N/sqmm
Clear Cover (Cmin) : 40 mm
Es : 2x10^5 N/sqmm
Mubal : 459.24 kNm
As,min (flex) (B) : 508.94 sqmm
As,nominal (Bn) : 195.65 sqmm
For Longitudinal Reinf
Beam Bottom Beam Top
Left Mid Right Left Mid Right
Critical L/C - Analysis 120 120 109 219 219 222
Critical L/C - RCDC 21 21 10 44 44 47
Mu (kNm) 151.057 94.594 155.02 240.413 99.607 212.281
As (flex) (sqmm) (C) 1000.69 612.06 1028.71 1659.73 645.8 1445.74
Asc (flex) (sqmm) (A) - - - - - -
Tu (kNm) 0.703 0.703 0.76 0.763 0.763 0.695
Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
Al, min(sqmm)(Tor.) - - - - - -
Al (sqmm) (Tor.) (E) - - - - - -
Al (Dist) (sqmm) (D) - - - - - -
Ast (sqmm) 1000.69 612.06 1028.71 1659.74 645.8 1445.74
AstPrv (sqmm) 1256.64 1256.64 1256.64 1884.96 1256.64 2199.12
Reinforcement
4-#20 4-#20 4-#20 4-#20
2-#20
4-#20 4-#20
3-#20
Note: Calculation of Ast
Ast = Max {B, C+D, A+D} (for Mu > 0)
Ast = Bn (for Mu = 0)
Where,
A = Asc (flex) =
Compression reinforcement required for
bending moment
B = As,min (flex) = Min area of flexural reinforcement
Bn = As,nominal = Nominal area of reinforcement
C = As (flex) =
Total area of longitudinal reinforcement
calculated at a given section
D = Al (Dist) =
Distributed longitudinal torsional reinforcement
at section considered
Ast (Dist)
(sqmm)
= Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
For Transverse Reinf
Left Mid Right
Critical L/C - RCDC 44 1 47
PtPrv (%) 1.252 0.835 1.461
Vu (kN) 159.34 19.81 149.58
Mu-Sect (kNm) 240.41 5.51 212.28
Φ Vc (kN) 102.41 111.59 104.06
Vs (kN) 75.9 - 60.69
Av (sqmm) 426.34 295.89 340.93
Tu (kNm) 0.76 0.03 0.7
Aoh - - -
At (sqmm) - - -
Legs 2 2 2
Stirrup Rebar 12 12 12
At Torsion (sqmm) 0 0 0
Av Total Reqd (sqmm) 426.34 295.89 340.93
Asv Reqd (sqmm) 426.345 295.894 340.929
SCalc (mm) 175 175 175
SPrv (mm) 175 175 175
3F TO 5F BEAM DESIGN SUMMARY.pdf
3F TO 5F BEAM DESIGN SUMMARY.pdf
3F TO 5F BEAM DESIGN SUMMARY.pdf
3F TO 5F BEAM DESIGN SUMMARY.pdf
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3F TO 5F BEAM DESIGN SUMMARY.pdf
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3F TO 5F BEAM DESIGN SUMMARY.pdf
3F TO 5F BEAM DESIGN SUMMARY.pdf
3F TO 5F BEAM DESIGN SUMMARY.pdf
3F TO 5F BEAM DESIGN SUMMARY.pdf

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3F TO 5F BEAM DESIGN SUMMARY.pdf

  • 1. BEAM DESIGN CALCULATION Project Name : HEALTH CENTER Client Name : MARIKINA - CONCEPCION UNO Engineer Name : NICOLAS G. Analysis File : C:UsersANDT03DesktopConcepcion Uno Health CenterCON_UNO_HEALTH_CENTER_ANALYSIS_REVISION02.STD Analysis Last Modified : 17/01/2023 11:11:57 AM Level Designed : 7.2m,10.2m,13.2m Sr.No. Symbol Definitions 1 α = Angle formed with horizontal line along length of Beam 2 Ach = Cross sectional area of structural member measures to the outside edge of transverse reinforcement in sqmm 3 Ag = Cross sectional area of concrete in sqmm 4 Ash = Total cross sectional area transverse reinforcement (including cross ties) within spacing S in sqmm 5 Avd = Area of diagonal reinforcement in coupler beam in sqmm 6 As = Area of Tension reinforcement required in sqmm 7 As,min = Minimum area of flexural reinforcement in sqmm 8 As,nominal = Nominal area of reinforcement in sqmm 9 Al = Area of longitudinal reinforcement required to resist torsion in sqmm 10 Al,face = Area of longitudinal reinforcement required on each face to resist torsion in sqmm 11 At Torsion = Area of closed stirrups resisting torsion in sqmm 12 AstPrv = Area of longitudinal reinforcement provided at given section in sqmm 13 Av = Area of shear reinforcement required per meter length in sqmm 14 Av,min = Minimum area of shear reinforcement as per clause 11.4.6.1 in sqmm 15 Al,min = Minimum area of longitudinal torsional reinforcement as per clause 11.5.5.3 in sqmm 16 Av Total Reqd = Total area of shear reinforcement required, including that for torsion in sqmm 17 Av Total Prv = Total area of shear reinforcement provided, including that for torsion in sqmm 18 Ao = Gross area enclosed by shear flow path in sqmm
  • 2. 19 Aoh = Area enclosed by centerline of the outermost closed transverse torsional reinforcement sqmm, as per clause 11.5.3.1 20 Ast = Total area of longitudinal reinforcement calculated at a given section in sqmm 21 Asr = Area of Skin reinforcement calculated for given section in sqmm 22 Asc = Area of Compression reinforcement required for doubly reinforced section or if torsion exists in sqmm 23 b = Width of the Beam in mm 24 bw = Width of Web ( For flanged Beam ) in mm 25 b' = C/C distance between longitudinal reinforcement along B in mm 26 bc = Oustside dimension of transverse reinforcement in mm 27 Cc = Effective Cover to tension reinforcement in mm 28 Cmin = Clear cover in mm 29 c' = Effective cover to reinforcement at compression face in mm 30 d = Effective depth of Beam in mm 31 d' = C/C distance between longitudinal reinforcement along D in mm 32 D = Depth of Beam in mm 33 Es = Modulus of elasticity of steel in N/sqmm 34 f'c = Specified compressive strength of concrete in cylinder in N/sqmm 35 fs = Calculated tensile stress in reinforcement at service loads, N/sqmm 36 Hf = Thickness of Flange in mm 37 hx = Maximum C/C horizontal spacing of hoops legs on all faces in mm 38 Icr = Moment Of Inertia Of concrete crack section 39 l = Effective Length Of Beam (Clear Span) In mm 40 Legs = Number Of legs Of the shear reinforcement 41 Mcr = Cracking Moment 42 Mpr1 = Hogging moments Of resistance Of member at the joint faces In kNm 43 Mpr2 = Sagging moments Of resistance Of member at the joint faces In kNm 44 Mu = Factored Bending Moment at a section In kNm 45 Mubal = Nominal flexural strength Of Singly Reinforced Section At Balance Neutral Axis In kNm 46 Ptmin = Minimum percentage steel As per clause 10.5 47 PtPrv = Provided percentage steel
  • 3. 48 Stirrup = Bar mark representing shear stirrup 49 S = spacing Of confining links In mm 50 SCalc = Stirrup spacing calculated As per Asv In mm 51 Sprv = Stirrup spacing provided In mm 52 Tcr = Cracking torque under pure Torsion In kNm 53 Tu = Factored Torsional Moment at a section In kNm 54 Ve = Earthquake induced shear In kN 55 φVc = Reduced Shear strength provided by concrete In kN 56 Vu = Factored Shear Force at a section In kN 57 Vu-A1(sway Left) = VD+L left - (Mpr1left + Mpr2right / L ) In kN 58 Vu-A2(sway Left) = VD+L left + (Mpr2left + Mpr1right / L ) In kN 59 Vu-B1(sway Right) = VDL Right - (Mpr1left + Mpr2right / L ) In kN 60 Vu-B2(sway Right) = VDL Right + (Mpr2left + Mpr1right / L ) In kN 61 Vud = Design Shear Force In kN 62 Vs = Nominal shear strength provided by shear reinforcement In kN 63 Vu sway = Max (Vu-A1,Vu-A2) & (Vu-B1,Vu-B2) In kN 64 y = Neutral axis depth. 65 Φ = Strength reduction factor All Forces are In kN, kNm, Stress In N/sqmm & Dimension are In mm. Code References ACI 318M - 2011 Sr.No. Item Clause / Table 1. Ptmax : 10.3.5 2. Ptmin : 10.5.1 3. Vc : 11.2 4. Asv : 11.4.7.2 5. Min Shear Reinf : 11.4.6 6. Max Stirrup Spacing : 11.4.5.1 7. Shear Reinf - Torsion : 11.5.3.5 8. Side Face Reinforcement : 10.6.7 9. Tcr : 11.5.1 10. fs,perm : 10.6.4 11. fc,perm : 10.2.7.1 12. Wcr : Eq 4.2(a)
  • 4. ACI 318M - 2011 Chapter 21 Sr.No. Item Clause / Table 1. Ptmin : 21.5.2.1 2. Asmin : 21.5.2.1 3. Sclc : 21.5.3.1 & 21.5.3.2 Group : G1 Beam No : B1 Analysis Reference (Member) 7.2m : 27 10.2m : 29 13.2m : 31 Beam Length : 2000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 114 217 217 217 217 114 Critical L/C - RCDC 15 42 42 42 42 15 Mu (kNm) 160.081 95.427 188.87 225.697 111.857 163.111 As (flex) (sqmm) (C) 1064.65 617.65 1272.41 1546.99 728.86 1086.24 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 1.027 2.524 2.52 2.524 2.524 1.027 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 1064.65 617.65 1272.41 1546.99 728.86 1086.24 AstPrv (sqmm) 1256.64 1256.64 1884.96 1884.96 1256.64 1884.96
  • 5. Reinforcement 4-#20 4-#20 4-#20 2-#20 4-#20 2-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 42 42 PtPrv (%) 1.252 0.835 0.835 Vu (kN) 233.36 217.48 197.2 Mu-Sect (kNm) 225.7 75.28 62.9 Φ Vc (kN) 106.25 111.59 111.59 Vs (kN) 169.48 141.19 114.15 Av (sqmm) 952.03 793.1 641.24 Tu (kNm) 2.52 2.52 2.52 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 952.03 793.1 641.24 Asv Reqd (sqmm) 952.029 793.102 641.236 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic
  • 6. Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 2.52 kNm Tcr/4 = 5.93 kNm Beam Depth >= 900 Or Tu > Tcr/4, Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 100 mm Hence OK Group : G1 Beam No : B2 Analysis Reference (Member) 7.2m : 106,171 10.2m : 107,173 13.2m : 108,175 Beam Length : 6600 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm
  • 7. As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 216 217 107 217 216 216 Critical L/C - RCDC 41 42 8 42 41 41 Mu (kNm) 68.704 85.049 82.05 216.994 99.363 148.123 As (flex) (sqmm) (C) 440 548.2 528.21 1481.15 644.15 980.01 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.362 0.385 0.25 0.385 0.362 0.362 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 508.94 548.2 528.21 1481.15 644.15 980.01 AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1256.64 Reinforcement 3-#20 3-#20 3-#20 4-#20 2-#20 4-#20 4-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 47 PtPrv (%) 1.252 0.835 0.835 Vu (kN) 68.03 32.78 138.19 Mu-Sect (kNm) 67.85 10.34 104.8
  • 8. Φ Vc (kN) 105.93 111.59 104.65 Vs (kN) - - 44.73 Av (sqmm) 295.89 295.89 295.89 Tu (kNm) 0.22 0.22 22.55 Aoh - - 120400 At (sqmm) - - 709.74 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 709.737 Av Total Reqd (sqmm) 295.89 295.89 960.98 Asv Reqd (sqmm) 295.894 295.894 960.977 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 22.55 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 113 mm Hence OK
  • 9. Group : G1 Beam No : B3 Analysis Reference (Member) 7.2m : 293 10.2m : 295 13.2m : 297 Beam Length : 5000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 114 217 107 217 107 216 Critical L/C - RCDC 15 42 8 42 8 41 Mu (kNm) 82.124 62.042 86.62 169.017 59.698 160.2 As (flex) (sqmm) (C) 528.73 396.31 558.65 1128.52 380.99 1065.5 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.171 0.214 0.21 0.214 0.21 0.167 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 528.73 508.94 558.65 1128.52 495.29 1065.5 AstPrv (sqmm) 942.48 942.48 942.48 1256.64 1256.64 1256.64 Reinforcement 3-#20 3-#20 3-#20 4-#20 4-#20 4-#20
  • 10. Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 1 PtPrv (%) 0.835 0.626 0.835 Vu (kN) 38.14 13.48 35.84 Mu-Sect (kNm) 36.36 6.64 30.63 Φ Vc (kN) 102.79 106.05 103.63 Vs (kN) - - - Av (sqmm) 295.89 295.89 295.89 Tu (kNm) 0.02 0.02 0.02 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 295.89 295.89 295.89 Asv Reqd (sqmm) 295.894 295.894 295.894 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm
  • 11. Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G1 Beam No : B4 Analysis Reference (Member) 7.2m : 394,472 10.2m : 397,473 13.2m : 400,474 Beam Length : 6000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 222 114 107 217 217 216 Critical L/C - RCDC 47 15 8 42 42 41 Mu (kNm) 28.259 104.264 89.4 154.478 138.164 207.393 As (flex) (sqmm) (C) 178.22 677.27 577.22 1024.87 910.23 1409.2 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 8.185 0.223 0.6 6.149 0.688 0.324 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) 729.35 - - 729.35 - - Al (sqmm) (Tor.) (E) 210.08 - - 210.08 - - Al (Dist) (sqmm) (D) 150.16 - - 150.16 - -
  • 12. Ast (sqmm) 426.89 677.27 577.22 1175.03 910.23 1409.2 AstPrv (sqmm) 942.48 942.48 942.48 1256.64 1256.64 1884.96 Reinforcement 3-#20 3-#20 3-#20 4-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 46 1 1 PtPrv (%) 0.835 0.626 1.252 Vu (kN) 117.2 26.3 55.2 Mu-Sect (kNm) 94.39 10.82 49.42 Φ Vc (kN) 104.12 107.58 107.11 Vs (kN) 17.44 - - Av (sqmm) 295.89 295.89 295.89 Tu (kNm) 20.38 0.43 0.43 Aoh 120400 - - At (sqmm) 641.31 - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 641.315 0 0 Av Total Reqd (sqmm) 739.26 295.89 295.89 Asv Reqd (sqmm) 739.261 295.894 295.894 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57
  • 13. Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 20.38 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 113 mm Hence OK Group : G1 Beam No : B5 Analysis Reference (Member) 7.2m : 551 10.2m : 555 13.2m : 559 Beam Length : 2000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011
  • 14. Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 216 115 115 225 216 216 Critical L/C - RCDC 41 16 16 50 41 41 Mu (kNm) 177.452 93.256 171.38 170.89 106.077 214.183 As (flex) (sqmm) (C) 1189.31 603.07 1145.47 1141.97 689.56 1460.01 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 2.197 1.217 1.22 1.231 2.197 2.197 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 1189.31 603.07 1145.47 1141.97 689.56 1460.01 AstPrv (sqmm) 1256.64 1256.64 1256.64 1884.96 1256.64 1884.96 Reinforcement 4-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
  • 15. For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 41 41 PtPrv (%) 1.252 0.835 1.252 Vu (kN) 193.21 206.01 221.89 Mu-Sect (kNm) 169.63 71.42 214.18 Φ Vc (kN) 107.34 111.59 106.27 Vs (kN) 114.5 125.89 154.16 Av (sqmm) 643.21 707.19 865.96 Tu (kNm) 1.73 2.2 2.2 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 643.21 707.19 865.96 Asv Reqd (sqmm) 643.209 707.194 865.965 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G2 Beam No : B6 Analysis Reference (Member) 7.2m : 172 10.2m : 174 13.2m : 176
  • 16. Beam Length : 1275 mm Breadth (B) : 250 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 328.03 kNm As,min (flex) (B) : 363.53 sqmm As,nominal (Bn) : 139.75 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 217 - - 219 219 219 Critical L/C - RCDC 42 - - 44 44 44 Mu (kNm) - - - 9.028 29.469 40.882 As (flex) (sqmm) (C) - - - 56.61 186.75 260.67 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) - - - - - - Tcr/4 (kNm) - - - - - - Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 139.75 139.75 139.75 139.75 242.78 338.86 AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32 Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section
  • 17. D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 1 PtPrv (%) 0.584 0.584 0.584 Vu (kN) 16.43 18.84 21.26 Mu-Sect (kNm) 6.47 13.96 22.48 Φ Vc (kN) 76.27 72.91 71.52 Vs (kN) - - - Av (sqmm) 211.35 211.35 211.35 Tu (kNm) 0 0 0 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) - - - Av Total Reqd (sqmm) 211.35 211.35 211.35 Asv Reqd (sqmm) 211.353 211.353 211.353 SCalc (mm) 215 215 215 SPrv (mm) 215 215 215 Av Total Prv (sqmm) 1052.09 1052.09 1052.09 Maximum Spacing Criteria Basic Spc1 =d/2 = 215 mm Spc2 = 300 mm Skin reinforcement Beam Width = 250 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G2
  • 18. Beam No : B7 Analysis Reference (Member) 7.2m : 294 10.2m : 296 13.2m : 298 Beam Length : 5000 mm Breadth (B) : 250 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 328.03 kNm As,min (flex) (B) : 363.53 sqmm As,nominal (Bn) : 139.75 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 114 225 107 217 217 216 Critical L/C - RCDC 15 50 8 42 42 41 Mu (kNm) 27.394 20.471 30.12 68.283 26.685 64.221 As (flex) (sqmm) (C) 173.41 129.12 190.94 441.99 168.86 414.75 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.001 0.145 0.15 0.171 0.171 0.024 Tcr/4 (kNm) 3.43 3.43 3.43 3.43 3.43 3.43 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 225.44 167.86 248.22 441.99 219.52 414.75 AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32 Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where,
  • 19. A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 1 PtPrv (%) 0.584 0.584 0.584 Vu (kN) 14.79 5.32 13.62 Mu-Sect (kNm) 17.26 0.51 14.34 Φ Vc (kN) 71.21 76.27 71.53 Vs (kN) - - - Av (sqmm) 211.35 211.35 211.35 Tu (kNm) 0.07 0.07 0.07 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 211.35 211.35 211.35 Asv Reqd (sqmm) 211.353 211.353 211.353 SCalc (mm) 150 150 150 SPrv (mm) 150 150 150 Av Total Prv (sqmm) 1508 1508 1508 Maximum Spacing Criteria Basic Spc1 = 250 mm Spc2 = 154 mm Skin reinforcement Beam Width = 250 mm Beam Depth = 500 mm
  • 20. Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G2 Beam No : B8 Analysis Reference (Member) 7.2m : 395 10.2m : 398 13.2m : 401 Beam Length : 1475 mm Breadth (B) : 250 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 328.03 kNm As,min (flex) (B) : 363.53 sqmm As,nominal (Bn) : 139.75 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis - - 220 217 217 217 Critical L/C - RCDC - - 45 42 42 42 Mu (kNm) - - - 47.208 33.81 10.206 As (flex) (sqmm) (C) - - - 302.03 214.76 64.03 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) - - - - - - Tcr/4 (kNm) - - - - - - Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 139.75 139.75 139.75 363.53 279.18 139.75 AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32 Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20
  • 21. Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 1 PtPrv (%) 0.584 0.584 0.584 Vu (kN) 22.22 19.42 16.63 Mu-Sect (kNm) 26.58 16.35 7.49 Φ Vc (kN) 71.14 72.35 75.91 Vs (kN) - - - Av (sqmm) 211.35 211.35 211.35 Tu (kNm) 0 0 0 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) - - - Av Total Reqd (sqmm) 211.35 211.35 211.35 Asv Reqd (sqmm) 211.353 211.353 211.353 SCalc (mm) 215 215 215 SPrv (mm) 215 215 215 Av Total Prv (sqmm) 1052.09 1052.09 1052.09 Maximum Spacing Criteria Basic Spc1 =d/2 = 215 mm Spc2 = 300 mm
  • 22. Skin reinforcement Beam Width = 250 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G3 Beam No : B9 Analysis Reference (Member) 7.2m : 28,87,132,166,21 4 10.2m : 30,93,133,167,21 7 13.2m : 32,99,134,168,22 0 Beam Length : 8600 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 217 217 219 217 217 216 Critical L/C - RCDC 42 42 44 42 42 41 Mu (kNm) 45.785 122.837 27.83 216.977 149.996 161.367 As (flex) (sqmm) (C) 290.65 804.05 175.47 1481.02 993.21 1073.81 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 6.428 4.324 10.32 6.428 4.324 2.376 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) 729.35 - 708.81 729.35 - -
  • 23. Al (sqmm) (Tor.) (E) 210.08 - 230.62 210.08 - - Al (Dist) (sqmm) (D) 150.16 - 145.93 150.16 - - Ast (sqmm) 508.94 804.05 417.83 1631.18 993.21 1073.81 AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96 Reinforcement 3-#20 3-#20 3-#20 4-#20 2-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 47 1 44 PtPrv (%) 1.252 0.835 0.626 Vu (kN) 49.1 48.05 153.32 Mu-Sect (kNm) 5.25 23.51 0.7 Φ Vc (kN) 119.6 109.65 107.58 Vs (kN) - - 60.98 Av (sqmm) 295.89 295.89 342.54 Tu (kNm) 23.61 1.34 20.16 Aoh 120400 - 120400 At (sqmm) 743.01 - 634.34 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 743.009 0 634.343 Av Total Reqd (sqmm) 743.01 295.89 976.88 Asv Reqd (sqmm) 743.009 295.894 976.881 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57
  • 24. Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 23.61 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 113 mm Hence OK Group : G3 Beam No : B10 Analysis Reference (Member) 7.2m : 265,305 10.2m : 267,311 13.2m : 269,317 Beam Length : 5000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm
  • 25. Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 114 216 107 217 107 216 Critical L/C - RCDC 15 41 8 42 8 41 Mu (kNm) 65.349 122.577 96.5 200.218 71.901 197.316 As (flex) (sqmm) (C) 417.97 802.26 624.88 1355.91 461.05 1334.46 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 1.006 0.676 0.87 0.344 0.875 0.676 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 508.94 802.26 624.88 1355.91 508.94 1334.46 AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96 Reinforcement 3-#20 3-#20 3-#20 4-#20 2-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
  • 26. For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 44 1 PtPrv (%) 1.252 0.626 1.252 Vu (kN) 160.86 45.79 40.62 Mu-Sect (kNm) 200.22 32.07 42.68 Φ Vc (kN) 103.87 102.94 105.4 Vs (kN) 75.99 - - Av (sqmm) 426.85 295.89 295.89 Tu (kNm) 0.34 10.57 0.66 Aoh - 120400 - At (sqmm) - 332.67 - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 332.667 0 Av Total Reqd (sqmm) 426.85 332.67 295.89 Asv Reqd (sqmm) 426.845 332.667 295.894 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 10.57 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D))
  • 27. = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 113 mm Hence OK Group : G3 Beam No : B11 Analysis Reference (Member) 7.2m : 396,436,483,55 2 10.2m : 399,437,487,55 6 13.2m : 402,438,491,56 0 Beam Length : 8000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 220 216 107 217 216 216 Critical L/C - RCDC 45 41 8 42 41 41 Mu (kNm) 58.626 109.865 62.65 166.725 132.161 198.545 As (flex) (sqmm) (C) 374 715.29 400.28 1112.09 868.47 1343.54 Asc (flex) (sqmm) (A) - - - - - -
  • 28. Tu (kNm) 8.703 2.415 2.86 4.958 2.415 4.748 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) 729.35 - - - - - Al (sqmm) (Tor.) (E) 210.08 - - - - - Al (Dist) (sqmm) (D) 150.16 - - - - - Ast (sqmm) 524.16 715.29 508.94 1112.09 868.47 1343.54 AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96 Reinforcement 3-#20 3-#20 3-#20 4-#20 2-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 46 1 46 PtPrv (%) 1.252 0.626 1.252 Vu (kN) 108.92 41.15 39.87 Mu-Sect (kNm) 92.44 44.53 37.5 Φ Vc (kN) 107.74 100.34 106.55 Vs (kN) 1.57 - - Av (sqmm) 295.89 295.89 295.89 Tu (kNm) 3.68 1.35 19.53 Aoh - - 120400 At (sqmm) - - 614.49 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 448.826 0 614.493 Av Total Reqd (sqmm) 295.89 295.89 614.49 Asv Reqd (sqmm) 457.644 295.894 614.493
  • 29. SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 19.53 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 113 mm Hence OK Group : G4 Beam No : B12 Analysis Reference (Member) 7.2m : 600
  • 30. 10.2m : 601 13.2m : 602 Beam Length : 2000 mm Breadth (B) : 250 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 328.03 kNm As,min (flex) (B) : 363.53 sqmm As,nominal (Bn) : 139.75 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 216 216 218 218 - 113 Critical L/C - RCDC 41 41 43 43 - 14 Mu (kNm) 4.106 5.66 4.11 0.001 - - As (flex) (sqmm) (C) 25.68 35.43 25.68 0.01 - - Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) - - - - - - Tcr/4 (kNm) - - - - - - Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 139.75 139.75 139.75 139.75 139.75 139.75 AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32 Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement
  • 31. C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 1 PtPrv (%) 0.584 0.584 0.584 Vu (kN) 7.24 3.3 7.24 Mu-Sect (kNm) - 3.64 - Φ Vc (kN) 76.27 71.38 76.27 Vs (kN) - - - Av (sqmm) 211.35 211.35 211.35 Tu (kNm) 0 0 0 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) - - - Av Total Reqd (sqmm) 211.35 211.35 211.35 Asv Reqd (sqmm) 211.353 211.353 211.353 SCalc (mm) 215 215 215 SPrv (mm) 215 215 215 Av Total Prv (sqmm) 1052.09 1052.09 1052.09 Maximum Spacing Criteria Basic Spc1 =d/2 = 215 mm Spc2 = 300 mm Skin reinforcement Beam Width = 250 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required.
  • 32. Group : G5 Beam No : B13 Analysis Reference (Member) 7.2m : 88,142,215 10.2m : 94,147,218 13.2m : 100,152,22 1 Beam Length : 6600 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 114 217 217 217 216 216 Critical L/C - RCDC 15 42 42 42 41 41 Mu (kNm) 42.201 210.252 52.57 311.616 72.036 248.805 As (flex) (sqmm) (C) 267.54 1430.55 334.61 2233.15 461.94 1724.85 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.521 1.087 8.39 1.087 0.262 0.262 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - 729.35 - - - Al (sqmm) (Tor.) (E) - - 210.08 - - - Al (Dist) (sqmm) (D) - - 150.16 - - - Ast (sqmm) 347.8 1430.55 508.94 2233.15 508.94 1724.85 AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2199.12 Reinforcement 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 4-#20 4-#20 3-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0)
  • 33. Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 44 44 PtPrv (%) 1.67 1.252 0.835 Vu (kN) 207.33 78.12 227 Mu-Sect (kNm) 311.62 81.91 13.46 Φ Vc (kN) 104.73 105.42 111.59 Vs (kN) 136.8 - 153.89 Av (sqmm) 768.44 295.89 864.43 Tu (kNm) 1.09 14.8 19.2 Aoh - 120400 120400 At (sqmm) - 465.61 604.25 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 465.605 1503.088 Av Total Reqd (sqmm) 768.44 465.61 1468.68 Asv Reqd (sqmm) 768.443 465.605 2367.521 SCalc (mm) 175 175 95 SPrv (mm) 175 175 95 Av Total Prv (sqmm) 1292.57 1292.57 2381.05 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm
  • 34. Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 19.2 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 627.76 sqmm SR provided = 3-#12EF Asr provided = 678.6 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 75 mm Hence OK Group : G5 Beam No : B14 Analysis Reference (Member) 7.2m : 266,306,38 3 10.2m : 268,312,38 6 13.2m : 270,318,38 9 Beam Length : 5800 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm
  • 35. As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 106 217 107 217 216 216 Critical L/C - RCDC 7 42 8 42 41 41 Mu (kNm) 34.681 172.277 70.28 280.159 120.691 191.089 As (flex) (sqmm) (C) 219.24 1151.95 450.38 1973.75 789.3 1288.65 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 1.372 1.177 0.61 1.177 0.148 0.148 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 285.01 1151.95 508.94 1973.75 789.3 1288.65 AstPrv (sqmm) 1256.64 1256.64 1256.64 2199.12 1256.64 2199.12 Reinforcement 4-#20 4-#20 4-#20 4-#20 3-#20 4-#20 4-#20 3-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 42 45 PtPrv (%) 1.461 0.835 1.461 Vu (kN) 232.75 179.39 192.65 Mu-Sect (kNm) 280.16 172.28 99.11
  • 36. Φ Vc (kN) 105.58 102.74 119 Vs (kN) 169.56 102.21 98.2 Av (sqmm) 952.49 574.12 551.64 Tu (kNm) 1.18 1.18 15.06 Aoh - - 120400 At (sqmm) - - 473.9 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 1265.927 Av Total Reqd (sqmm) 952.49 574.12 1025.54 Asv Reqd (sqmm) 952.488 574.122 1817.57 SCalc (mm) 175 175 120 SPrv (mm) 175 175 120 Av Total Prv (sqmm) 1292.57 1292.57 1885 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 15.06 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 528.71 sqmm SR provided = 3-#12EF Asr provided = 678.6 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 85 mm Hence OK
  • 37. Group : G5 Beam No : B15 Analysis Reference (Member) 7.2m : 432,484 10.2m : 433,488 13.2m : 434,492 Beam Length : 5200 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 106 216 115 217 224 216 Critical L/C - RCDC 7 41 16 42 49 41 Mu (kNm) 33.271 190.931 76.31 280.895 48.177 271.277 As (flex) (sqmm) (C) 210.22 1287.49 490.16 1979.7 306.11 1902.3 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.923 0.581 1.33 1.88 0.284 0.581 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 273.28 1287.49 508.94 1979.7 397.94 1902.3 AstPrv (sqmm) 1256.64 1884.96 1256.64 2199.12 1256.64 2199.12 Reinforcement 4-#20 4-#20 2-#20 4-#20 4-#20 3-#20 4-#20 4-#20 3-#20
  • 38. Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 42 41 PtPrv (%) 1.461 1.252 1.461 Vu (kN) 245.02 188.52 188.58 Mu-Sect (kNm) 280.9 186.06 271.28 Φ Vc (kN) 106.08 106.04 103.95 Vs (kN) 185.25 109.98 112.84 Av (sqmm) 1040.6 617.82 633.86 Tu (kNm) 1.88 1.88 0.58 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 1040.6 617.82 633.86 Asv Reqd (sqmm) 1040.598 617.819 633.863 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm
  • 39. For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 1.88 kNm Tcr/4 = 5.93 kNm Beam Depth >= 900 Or Tu > Tcr/4, Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 100 mm Hence OK Group : G5 Beam No : B16 Analysis Reference (Member) 7.2m : 553 10.2m : 557 13.2m : 561 Beam Length : 2000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm
  • 40. Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 216 225 225 225 216 216 Critical L/C - RCDC 41 50 50 50 41 41 Mu (kNm) 182.502 99.548 189.16 177.982 113.455 215.636 As (flex) (sqmm) (C) 1225.94 645.4 1274.51 1193.14 739.75 1470.93 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.319 0.368 0.37 0.368 0.319 0.319 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 1225.94 645.4 1274.51 1193.14 739.76 1470.93 AstPrv (sqmm) 1256.64 1256.64 1884.96 2199.12 1256.64 1884.96 Reinforcement 4-#20 4-#20 4-#20 2-#20 4-#20 3-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
  • 41. For Transverse Reinf Left Mid Right Critical L/C - RCDC 7 41 41 PtPrv (%) 0.835 0.835 1.252 Vu (kN) 192.21 201.47 206.18 Mu-Sect (kNm) 182.3 79.79 215.64 Φ Vc (kN) 102.83 111.59 105.45 Vs (kN) 119.18 119.85 134.31 Av (sqmm) 669.45 673.24 754.48 Tu (kNm) 0.33 0.32 0.32 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 669.45 673.24 754.48 Asv Reqd (sqmm) 669.453 673.244 754.485 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G6 Beam No : B17 Analysis Reference (Member) 7.2m : 89,143 10.2m : 95,148 13.2m : 101,153
  • 42. Beam Length : 6060 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 113 218 108 218 218 215 Critical L/C - RCDC 14 43 9 43 43 40 Mu (kNm) 38.324 231.201 30.09 315.948 21.978 310.117 As (flex) (sqmm) (C) 242.6 1588.95 189.9 2269.7 138.28 2220.55 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 1.738 6.291 3.38 6.291 6.291 1.818 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - 729.35 - 729.35 729.35 - Al (sqmm) (Tor.) (E) - 210.08 - 210.08 210.08 - Al (Dist) (sqmm) (D) - 150.16 - 150.16 150.16 - Ast (sqmm) 315.38 1739.11 246.88 2419.86 374.97 2220.55 AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2513.28 Reinforcement 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement
  • 43. C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 43 40 PtPrv (%) 1.67 1.252 1.67 Vu (kN) 203.5 163.03 205.06 Mu-Sect (kNm) 315.95 150.44 310.12 Φ Vc (kN) 104.44 106.76 104.68 Vs (kN) 132.08 75.02 133.85 Av (sqmm) 741.93 421.42 751.87 Tu (kNm) 6.29 6.29 1.82 Aoh 120400 120400 - At (sqmm) 295.89 295.89 - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 295.894 295.894 0 Av Total Reqd (sqmm) 1037.82 717.32 751.87 Asv Reqd (sqmm) 1037.823 717.316 751.871 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 6.29 kNm
  • 44. Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 100 mm Hence OK Group : G6 Beam No : B18 Analysis Reference (Member) 7.2m : 251,307 10.2m : 255,313 13.2m : 259,319 Beam Length : 5540 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 113 218 108 218 215 215 Critical L/C - RCDC 14 43 9 43 40 40
  • 45. Mu (kNm) 34.474 203.618 38.77 283.623 63.268 282.249 As (flex) (sqmm) (C) 217.91 1381.12 245.43 2001.82 404.33 1990.66 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.652 5.963 2.7 5.963 3.804 3.804 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - 729.35 - 729.35 - - Al (sqmm) (Tor.) (E) - 210.08 - 210.08 - - Al (Dist) (sqmm) (D) - 150.16 - 150.16 - - Ast (sqmm) 283.29 1531.28 319.06 2151.98 508.94 1990.66 AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2513.28 Reinforcement 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 43 40 PtPrv (%) 1.67 1.252 1.67 Vu (kN) 195.9 155.99 196.19 Mu-Sect (kNm) 283.62 203.62 282.25 Φ Vc (kN) 105.08 103.48 105.14 Vs (kN) 121.09 70.01 121.4 Av (sqmm) 680.22 393.29 681.95 Tu (kNm) 5.96 5.96 3.8 Aoh 120400 120400 - At (sqmm) 295.89 295.89 - Legs 2 2 2 Stirrup Rebar 12 12 12
  • 46. At Torsion (sqmm) 295.894 295.894 0 Av Total Reqd (sqmm) 976.11 689.18 681.95 Asv Reqd (sqmm) 976.11 689.181 681.947 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 5.96 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 100 mm Hence OK Group : G6 Beam No : B19
  • 47. Analysis Reference (Member) 7.2m : 419,485 10.2m : 423,489 13.2m : 427,493 Beam Length : 6000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 105 215 116 217 105 215 Critical L/C - RCDC 6 40 17 42 6 40 Mu (kNm) 31.349 222.552 37.48 293.809 21.095 298.602 As (flex) (sqmm) (C) 197.93 1523.13 237.21 2085.05 132.68 2124.58 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 3.146 7.295 1.03 6.163 6.081 7.295 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - 729.35 - 729.35 729.35 729.35 Al (sqmm) (Tor.) (E) - 210.08 - 210.08 210.08 210.08 Al (Dist) (sqmm) (D) - 150.16 - 150.16 150.16 150.16 Ast (sqmm) 257.31 1673.29 308.38 2235.21 367.7 2274.74 AstPrv (sqmm) 1256.64 1884.96 1256.64 2513.28 1256.64 2513.28 Reinforcement 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where,
  • 48. A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 40 40 PtPrv (%) 1.67 1.252 1.67 Vu (kN) 194.35 156.45 196.29 Mu-Sect (kNm) 293.81 145.86 298.6 Φ Vc (kN) 104.68 106.65 104.62 Vs (kN) 119.56 66.4 122.23 Av (sqmm) 671.63 372.97 686.58 Tu (kNm) 6.16 7.29 7.29 Aoh 120400 120400 120400 At (sqmm) 295.89 295.89 295.89 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 295.894 295.894 295.894 Av Total Reqd (sqmm) 967.53 668.86 982.47 Asv Reqd (sqmm) 967.528 668.863 982.475 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement
  • 49. Beam Width = 350 mm Beam Depth = 500 mm Tu = 7.29 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 100 mm Hence OK Group : G6 Beam No : B20 Analysis Reference (Member) 7.2m : 554 10.2m : 558 13.2m : 562 Beam Length : 2000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf
  • 50. Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 215 215 116 226 215 215 Critical L/C - RCDC 40 40 17 51 40 40 Mu (kNm) 206.078 99.751 181.37 179.936 128.436 250.295 As (flex) (sqmm) (C) 1399.41 646.77 1217.73 1207.31 842.67 1736.47 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 4.586 4.586 0.57 0.414 4.586 4.586 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 1399.41 646.77 1217.73 1207.31 842.67 1736.47 AstPrv (sqmm) 1884.96 1256.64 1256.64 2513.28 1256.64 1884.96 Reinforcement 4-#20 2-#20 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 40 40 40 PtPrv (%) 0.835 0.835 1.252 Vu (kN) 221.34 235.15 248.96 Mu-Sect (kNm) 63.16 88.97 250.29 Φ Vc (kN) 111.59 111.59 105.84 Vs (kN) 146.34 164.75 190.82 Av (sqmm) 822.05 925.48 1071.92 Tu (kNm) 4.59 4.59 4.59
  • 51. Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 822.05 925.48 1071.92 Asv Reqd (sqmm) 822.047 925.478 1071.921 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 4.59 kNm Tcr/4 = 5.93 kNm Beam Depth >= 900 Or Tu > Tcr/4, Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 100 mm Hence OK Group : G7 Beam No : B21
  • 52. Analysis Reference (Member) 7.2m : 90,144 10.2m : 96,149 13.2m : 102,154 Beam Length : 6060 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 410 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 417.51 kNm As,min (flex) (B) : 485.27 sqmm As,nominal (Bn) : 186.55 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 113 215 108 218 108 215 Critical L/C - RCDC 14 40 9 43 9 40 Mu (kNm) 39.655 301.115 28.08 365.917 32.672 361.955 As (flex) (sqmm) (C) 263.8 2288.52 185.9 2907.72 216.72 2867.82 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 3.628 0.659 1.33 4.19 4.102 0.659 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 342.94 2288.52 241.67 2907.72 281.73 2867.82 AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6 Reinforcement 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where,
  • 53. A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 40 40 PtPrv (%) 2.189 1.751 2.189 Vu (kN) 226.73 208.2 229.59 Mu-Sect (kNm) 365.92 301.12 361.96 Φ Vc (kN) 101.3 100.2 101.54 Vs (kN) 167.25 143.99 170.73 Av (sqmm) 985.31 848.32 1005.86 Tu (kNm) 4.19 0.66 0.66 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 985.31 848.32 1005.86 Asv Reqd (sqmm) 985.309 848.32 1005.859 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 4.19 kNm
  • 54. Tcr/4 = 5.93 kNm Beam Depth >= 900 Or Tu > Tcr/4, Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 87 mm Hence OK Group : G7 Beam No : B22 Analysis Reference (Member) 7.2m : 252,308 10.2m : 256,314 13.2m : 260,320 Beam Length : 5540 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 410 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 417.51 kNm As,min (flex) (B) : 485.27 sqmm As,nominal (Bn) : 186.55 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 113 218 108 218 215 215 Critical L/C - RCDC 14 43 9 43 40 40
  • 55. Mu (kNm) 35.817 261.098 37.06 337.762 80.481 334.531 As (flex) (sqmm) (C) 237.89 1936.4 246.29 2630.31 544.82 2599.34 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 1.655 1.98 0.64 1.98 1.571 1.571 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 309.25 1936.4 320.17 2630.31 544.82 2599.34 AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6 Reinforcement 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 43 40 PtPrv (%) 2.189 1.751 2.189 Vu (kN) 226.03 206.48 224.25 Mu-Sect (kNm) 337.76 261.1 334.53 Φ Vc (kN) 102.11 101.51 102.13 Vs (kN) 165.23 139.96 162.83 Av (sqmm) 973.4 824.53 959.26 Tu (kNm) 1.98 1.98 1.57 Aoh - - - At (sqmm) - - - Legs 2 2 2
  • 56. Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 973.4 824.53 959.26 Asv Reqd (sqmm) 973.404 824.528 959.264 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 1.98 kNm Tcr/4 = 5.93 kNm Beam Depth >= 900 Or Tu > Tcr/4, Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 87 mm Hence OK Group : G7 Beam No : B23 Analysis Reference (Member) 7.2m : 420,486 10.2m : 424,490 13.2m : 428,494
  • 57. Beam Length : 6000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 410 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 417.51 kNm As,min (flex) (B) : 485.27 sqmm As,nominal (Bn) : 186.55 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 105 218 116 218 105 215 Critical L/C - RCDC 6 43 17 43 6 40 Mu (kNm) 28.962 303.257 40.07 365.133 32.596 358.593 As (flex) (sqmm) (C) 191.81 2307.95 266.61 2899.8 216.2 2834.19 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.357 0.65 3.2 0.65 3.092 3.072 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 249.36 2307.95 346.59 2899.8 281.06 2834.19 AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6 Reinforcement 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement
  • 58. C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 43 40 PtPrv (%) 2.189 1.751 2.189 Vu (kN) 233.44 212.27 224.09 Mu-Sect (kNm) 365.13 303.26 358.59 Φ Vc (kN) 101.62 100.32 101.38 Vs (kN) 175.77 149.27 163.62 Av (sqmm) 1035.5 879.4 963.92 Tu (kNm) 0.65 0.65 3.07 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 1035.5 879.4 963.92 Asv Reqd (sqmm) 1035.503 879.398 963.92 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 3.07 kNm Tcr/4 = 5.93 kNm Beam Depth >= 900 Or Tu > Tcr/4, Hence Skin Reinforcement is Provided
  • 59. Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 87 mm Hence OK Group : G8 Beam No : B24 Analysis Reference (Member) 7.2m : 91,145 10.2m : 97,150 13.2m : 103,155 Beam Length : 6060 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 410 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 417.51 kNm As,min (flex) (B) : 485.27 sqmm As,nominal (Bn) : 186.55 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 113 215 108 218 113 215 Critical L/C - RCDC 14 40 9 43 14 40 Mu (kNm) 68.939 268.986 63.48 351.077 24.719 347.079 As (flex) (sqmm) (C) 464.34 2004.24 426.53 2759.76 163.43 2720.56
  • 60. Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 9.443 9.506 6.74 5.242 7.182 9.506 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) 728.45 727.04 729.35 - 729.35 727.04 Al (sqmm) (Tor.) (E) 210.99 212.39 210.08 - 210.08 212.39 Al (Dist) (sqmm) (D) 149.97 149.69 150.16 - 150.16 149.69 Ast (sqmm) 614.32 2153.93 576.69 2759.76 407.67 2870.25 AstPrv (sqmm) 1256.64 2513.28 1256.64 3141.6 1256.64 3141.6 Reinforcement 4-#20 4-#20 4-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 42 40 40 PtPrv (%) 2.189 1.751 2.189 Vu (kN) 200.34 183.22 223.54 Mu-Sect (kNm) 313.47 268.99 347.08 Φ Vc (kN) 101.62 100.07 101.7 Vs (kN) 131.63 110.86 162.45 Av (sqmm) 775.51 653.13 957.07 Tu (kNm) 7.67 9.51 9.51 Aoh 120400 120400 120400 At (sqmm) 295.89 299.14 299.14 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 295.894 361.439 299.14
  • 61. Av Total Reqd (sqmm) 1071.4 952.27 1256.21 Asv Reqd (sqmm) 1071.402 1014.571 1256.206 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 9.51 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 87 mm Hence OK Group : G8 Beam No : B25 Analysis Reference (Member) 7.2m : 253,309
  • 62. 10.2m : 257,315 13.2m : 261,321 Beam Length : 5540 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 410 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 417.51 kNm As,min (flex) (B) : 485.27 sqmm As,nominal (Bn) : 186.55 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 105 215 116 218 215 215 Critical L/C - RCDC 6 40 17 43 40 40 Mu (kNm) 85.899 228.797 77.29 317.26 78.203 320.785 As (flex) (sqmm) (C) 582.89 1665.9 522.51 2436.62 528.87 2469.45 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 10.099 6.528 6.27 8.72 6.528 6.528 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) 713.78 729.35 729.35 729.35 729.35 729.35 Al (sqmm) (Tor.) (E) 225.66 210.08 210.08 210.08 210.08 210.08 Al (Dist) (sqmm) (D) 146.95 150.16 150.16 150.16 150.16 150.16 Ast (sqmm) 729.84 1816.06 672.67 2586.78 679.03 2619.61 AstPrv (sqmm) 1256.64 1884.96 1256.64 3141.6 1256.64 3141.6 Reinforcement 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment
  • 63. B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 40 40 PtPrv (%) 2.189 1.314 2.189 Vu (kN) 214.78 180.32 216.6 Mu-Sect (kNm) 317.26 228.8 320.78 Φ Vc (kN) 102.24 98.89 102.21 Vs (kN) 150.06 108.58 152.52 Av (sqmm) 884.03 639.67 898.53 Tu (kNm) 8.72 6.53 6.53 Aoh 120400 120400 120400 At (sqmm) 295.89 295.89 295.89 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 295.894 404.346 295.894 Av Total Reqd (sqmm) 1179.92 935.56 1194.43 Asv Reqd (sqmm) 1179.924 1044.015 1194.428 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm
  • 64. Beam Depth = 500 mm Tu = 8.72 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 87 mm Hence OK Group : G8 Beam No : B26 Analysis Reference (Member) 7.2m : 421,465,49 6 10.2m : 425,467,49 7 13.2m : 429,469,49 8 Beam Length : 6000 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 410 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 417.51 kNm As,min (flex) (B) : 485.27 sqmm As,nominal (Bn) : 186.55 sqmm For Longitudinal Reinf
  • 65. Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 105 218 116 218 105 215 Critical L/C - RCDC 6 43 17 43 6 40 Mu (kNm) 95.079 235.299 99.18 321.022 58.374 325.083 As (flex) (sqmm) (C) 647.82 1719.45 676.98 2471.67 391.4 2509.75 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 6.258 14.115 15.58 14.115 8.058 5.246 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) 729.35 624.06 591.41 624.06 729.35 - Al (sqmm) (Tor.) (E) 210.08 315.37 348.03 315.37 210.08 - Al (Dist) (sqmm) (D) 150.16 128.48 121.76 128.48 150.16 - Ast (sqmm) 797.98 1847.93 798.74 2600.15 541.56 2509.75 AstPrv (sqmm) 1256.64 1884.96 1256.64 3141.6 1256.64 2513.28 Reinforcement 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 4-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 40 41 PtPrv (%) 2.189 0.876 1.751 Vu (kN) 205.42 198.39 208.8 Mu-Sect (kNm) 321.02 46.75 284.69 Φ Vc (kN) 101.63 107.14 100.76 Vs (kN) 138.38 121.66 144.05 Av (sqmm) 815.27 716.75 848.68
  • 66. Tu (kNm) 14.11 11.01 8.71 Aoh 120400 120400 120400 At (sqmm) 444.19 346.5 295.89 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 444.188 346.502 295.894 Av Total Reqd (sqmm) 1259.46 1063.25 1144.57 Asv Reqd (sqmm) 1259.461 1063.252 1144.572 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 14.11 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 729.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 429.03 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 87 mm Hence OK
  • 67. Group : G9 Beam No : B27 Analysis Reference (Member) 7.2m : 92,146 10.2m : 98,151 13.2m : 104,156 Beam Length : 6060 mm Breadth (B) : 250 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 328.03 kNm As,min (flex) (B) : 363.53 sqmm As,nominal (Bn) : 139.75 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 215 221 110 218 - 221 Critical L/C - RCDC 40 46 11 43 - 46 Mu (kNm) 22.321 45.472 8.92 65.643 - 73.175 As (flex) (sqmm) (C) 140.92 290.65 55.92 424.28 - 474.97 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 5.659 3.769 7.26 3.476 - 3.769 Tcr/4 (kNm) 3.43 3.43 3.43 3.43 - 3.43 Al, min(sqmm)(Tor.) 502.05 542.1 454.12 542.1 - 542.1 Al (sqmm) (Tor.) (E) 168.97 128.93 216.9 128.93 - 128.93 Al (Dist) (sqmm) (D) 83.68 90.35 75.69 90.35 - 90.35 Ast (sqmm) 291.98 381 171.08 514.63 139.75 565.32 AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32 Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0)
  • 68. Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 44 44 45 PtPrv (%) 0.584 0.584 0.584 Vu (kN) 52.88 22.71 55.66 Mu-Sect (kNm) 30.54 15.16 36.22 Φ Vc (kN) 74.23 73.42 73.55 Vs (kN) - - - Av (sqmm) 211.35 211.35 211.35 Tu (kNm) 8.84 8.84 8.81 Aoh 77400 77400 77400 At (sqmm) 432.64 432.64 431.23 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 432.638 432.638 431.226 Av Total Reqd (sqmm) 432.64 432.64 431.23 Asv Reqd (sqmm) 432.638 432.638 431.226 SCalc (mm) 150 150 150 SPrv (mm) 150 150 150 Av Total Prv (sqmm) 1508 1508 1508 Maximum Spacing Criteria Basic Spc1 = 250 mm Spc2 = 154 mm For Torsion (X1 = 180, Y1 = 430) Spc3 = X1 = 180 mm Spc4=(X1+Y1)/4 = 150 mm
  • 69. Skin reinforcement Beam Width = 250 mm Beam Depth = 500 mm Tu = 8.84 kNm Tcr/4 = 3.43 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 542.1 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 361.4 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 127 mm Hence OK Group : G9 Beam No : B28 Analysis Reference (Member) 7.2m : 254,310 10.2m : 258,316 13.2m : 262,322 Beam Length : 5540 mm Breadth (B) : 250 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 328.03 kNm As,min (flex) (B) : 363.53 sqmm As,nominal (Bn) : 139.75 sqmm
  • 70. For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 219 218 116 218 215 215 Critical L/C - RCDC 44 43 17 43 40 40 Mu (kNm) 13.6 28.509 6.61 61.556 12.633 88.199 As (flex) (sqmm) (C) 85.48 180.58 41.39 396.95 79.36 577.48 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 11.82 5.995 1.96 5.995 2.006 2.006 Tcr/4 (kNm) 3.43 3.43 3.43 3.43 3.43 3.43 Al, min(sqmm)(Tor.) 318.05 492.01 - 492.01 - - Al (sqmm) (Tor.) (E) 352.97 179.01 - 179.01 - - Al (Dist) (sqmm) (D) 58.83 82 - 82 - - Ast (sqmm) 187.6 341.36 139.75 478.96 139.75 577.48 AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32 Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 44 44 1 PtPrv (%) 0.584 0.584 0.584 Vu (kN) 35.94 23.52 47.67 Mu-Sect (kNm) 9.19 5.15 45.1 Φ Vc (kN) 76.27 76.27 71.9 Vs (kN) - - - Av (sqmm) 211.35 211.35 211.35
  • 71. Tu (kNm) 11.82 11.82 1.69 Aoh 77400 77400 - At (sqmm) 578.64 578.64 - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 578.638 578.638 0 Av Total Reqd (sqmm) 578.64 578.64 211.35 Asv Reqd (sqmm) 578.638 578.638 211.353 SCalc (mm) 150 150 150 SPrv (mm) 150 150 150 Av Total Prv (sqmm) 1508 1508 1508 Maximum Spacing Criteria Basic Spc1 = 250 mm Spc2 = 154 mm For Torsion (X1 = 180, Y1 = 430) Spc3 = X1 = 180 mm Spc4=(X1+Y1)/4 = 150 mm Skin reinforcement Beam Width = 250 mm Beam Depth = 500 mm Tu = 11.82 kNm Tcr/4 = 3.43 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 492.01 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 361.4 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 127 mm Hence OK
  • 72. Group : G9 Beam No : B29 Analysis Reference (Member) 7.2m : 422,466 10.2m : 426,468 13.2m : 430,470 Beam Length : 3740 mm Breadth (B) : 250 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 328.03 kNm As,min (flex) (B) : 363.53 sqmm As,nominal (Bn) : 139.75 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 113 218 218 218 218 113 Critical L/C - RCDC 14 43 43 43 43 14 Mu (kNm) 5.893 32.891 32.89 74.116 25.824 5.061 As (flex) (sqmm) (C) 36.89 208.82 208.82 481.34 163.34 31.67 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 1.943 5.371 5.37 5.371 5.371 1.943 Tcr/4 (kNm) 3.43 3.43 3.43 3.43 3.43 3.43 Al, min(sqmm)(Tor.) - 510.63 510.63 510.63 510.63 - Al (sqmm) (Tor.) (E) - 160.39 160.39 160.39 160.39 - Al (Dist) (sqmm) (D) - 85.1 85.1 85.1 85.1 - Ast (sqmm) 139.75 363.53 363.53 566.45 322.98 139.75 AstPrv (sqmm) 628.32 628.32 628.32 628.32 628.32 628.32 Reinforcement 2-#20 2-#20 2-#20 2-#20 2-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0)
  • 73. Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 45 45 45 PtPrv (%) 0.584 0.584 0.584 Vu (kN) 43.25 29.73 13.29 Mu-Sect (kNm) 57.43 10.61 16.02 Φ Vc (kN) 70.85 76.27 71.12 Vs (kN) - - - Av (sqmm) 211.35 211.35 211.35 Tu (kNm) 5.57 5.57 5.57 Aoh 77400 77400 77400 At (sqmm) 272.8 272.8 272.8 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 272.803 272.803 272.803 Av Total Reqd (sqmm) 272.8 272.8 272.8 Asv Reqd (sqmm) 272.803 272.803 272.803 SCalc (mm) 150 150 150 SPrv (mm) 150 150 150 Av Total Prv (sqmm) 1508 1508 1508 Maximum Spacing Criteria Basic Spc1 = 250 mm Spc2 = 154 mm For Torsion (X1 = 180, Y1 = 430) Spc3 = X1 = 180 mm Spc4=(X1+Y1)/4 = 150 mm
  • 74. Skin reinforcement Beam Width = 250 mm Beam Depth = 500 mm Tu = 5.57 kNm Tcr/4 = 3.43 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 510.63 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 361.4 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 127 mm Hence OK Group : G10 Beam No : B30 Analysis Reference (Member) 7.2m : 450 10.2m : 456 13.2m : 462 Beam Length : 6000 mm Breadth (B) : 300 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 393.63 kNm As,min (flex) (B) : 436.23 sqmm As,nominal (Bn) : 167.7 sqmm
  • 75. For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 105 215 116 218 105 215 Critical L/C - RCDC 6 40 17 43 6 40 Mu (kNm) 117.672 88.414 116.09 212.273 73.867 218.034 As (flex) (sqmm) (C) 774.94 574.05 763.94 1470.74 476.34 1515.77 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.783 0.696 1.3 1.384 0.783 0.696 Tcr/4 (kNm) 4.63 4.63 4.63 4.63 4.63 4.63 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 774.94 574.05 763.94 1470.74 476.34 1515.77 AstPrv (sqmm) 942.48 628.32 942.48 1570.8 942.48 1570.8 Reinforcement 3-#20 2-#20 3-#20 3-#20 2-#20 3-#20 3-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 1 PtPrv (%) 1.218 0.487 1.218 Vu (kN) 41.72 14.59 42.74 Mu-Sect (kNm) 39.41 14.83 42.48 Φ Vc (kN) 91.03 85.3 90.58 Vs (kN) - - -
  • 76. Av (sqmm) 253.62 253.62 253.62 Tu (kNm) 0.26 0.26 0.26 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 253.62 253.62 253.62 Asv Reqd (sqmm) 253.623 253.623 253.623 SCalc (mm) 165 165 165 SPrv (mm) 165 165 165 Av Total Prv (sqmm) 1370.91 1370.91 1370.91 Maximum Spacing Criteria Basic Spc1 = 300 mm Spc2 = 166 mm Skin reinforcement Beam Width = 300 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G11 Beam No : B31 Analysis Reference (Member) 7.2m : 12 10.2m : 18 13.2m : 24 Beam Length : 1350 mm Breadth (B) : 300 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Cantilever Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm
  • 77. Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 393.63 kNm As,min (flex) (B) : 436.23 sqmm As,nominal (Bn) : 167.7 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 222 222 - - 222 222 Critical L/C - RCDC 47 47 - - 47 47 Mu (kNm) 4.488 3.366 - - 5.61 13.464 As (flex) (sqmm) (C) 28.07 21.04 - - 35.1 84.52 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) - - - - - - Tcr/4 (kNm) - - - - - - Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 167.7 167.7 167.7 167.7 167.7 167.7 AstPrv (sqmm) 628.32 628.32 628.32 1884.96 1884.96 1884.96 Reinforcement 2-#20 2-#20 2-#20 3-#20 3-#20 3-#20 3-#20 3-#20 3-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D))
  • 78. For Transverse Reinf Left Mid Right Critical L/C - RCDC 1 1 1 PtPrv (%) 0.487 1.461 1.461 Vu (kN) 6.33 12.67 19 Mu-Sect (kNm) 1.78 2.49 9.62 Φ Vc (kN) 89.92 105.95 102.33 Vs (kN) - - - Av (sqmm) 253.62 253.62 253.62 Tu (kNm) 0 0 0 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) - - - Av Total Reqd (sqmm) 253.62 253.62 253.62 Asv Reqd (sqmm) 253.623 253.623 253.623 SCalc (mm) 215 215 215 SPrv (mm) 215 215 215 Av Total Prv (sqmm) 1052.09 1052.09 1052.09 Maximum Spacing Criteria Basic Spc1 =d/2 = 215 mm Spc2 = 300 mm Skin reinforcement Beam Width = 300 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G11 Beam No : B32 Analysis Reference (Member) 7.2m : 592,11 10.2m : 593,17 13.2m : 594,23
  • 79. Beam Length : 4400 mm Breadth (B) : 300 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 393.63 kNm As,min (flex) (B) : 436.23 sqmm As,nominal (Bn) : 167.7 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 120 219 109 219 120 222 Critical L/C - RCDC 21 44 10 44 21 47 Mu (kNm) 176.522 181.918 113.61 261.449 143.392 156.638 As (flex) (sqmm) (C) 1198.63 1238.93 746.69 1866.79 956.69 1052.32 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 1.57 2.42 1.9 2.42 1.57 0.595 Tcr/4 (kNm) 4.63 4.63 4.63 4.63 4.63 4.63 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 1198.63 1238.93 746.69 1866.79 956.69 1052.32 AstPrv (sqmm) 1570.8 1570.8 942.48 1884.96 1570.8 1570.8 Reinforcement 3-#20 2-#20 3-#20 2-#20 3-#20 3-#20 3-#20 3-#20 2-#20 3-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement
  • 80. C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 44 44 47 PtPrv (%) 1.461 1.218 1.218 Vu (kN) 178.38 149.07 173.57 Mu-Sect (kNm) 261.45 17.97 156.64 Φ Vc (kN) 88.96 101.94 91.46 Vs (kN) 119.23 62.84 109.49 Av (sqmm) 669.73 352.99 615.02 Tu (kNm) 2.42 2.42 0.6 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 669.73 352.99 615.02 Asv Reqd (sqmm) 669.732 352.994 615.025 SCalc (mm) 165 165 165 SPrv (mm) 165 165 165 Av Total Prv (sqmm) 1370.91 1370.91 1370.91 Maximum Spacing Criteria Basic Spc1 = 300 mm Spc2 = 166 mm For Torsion (X1 = 230, Y1 = 430) Spc3 = X1 = 230 mm Spc4=(X1+Y1)/4 = 165 mm Skin reinforcement Beam Width = 300 mm Beam Depth = 500 mm Tu = 2.42 kNm
  • 81. Tcr/4 = 4.63 kNm Beam Depth >= 900 Or Tu > Tcr/4, Hence Skin Reinforcement is Provided Al Tor. (max) = 0 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 398.65 sqmm SR provided = 2-#12EF Asr provided = 452.4 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 100 mm Hence OK Group : G11 Beam No : B33 Analysis Reference (Member) 7.2m : 10 10.2m : 16 13.2m : 22 Beam Length : 2000 mm Breadth (B) : 300 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 393.63 kNm As,min (flex) (B) : 436.23 sqmm As,nominal (Bn) : 167.7 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 112 227 117 219 222 222 Critical L/C - RCDC 13 52 18 44 47 47
  • 82. Mu (kNm) 203.267 118.502 218.52 211.669 120.399 240.862 As (flex) (sqmm) (C) 1401.04 780.73 1519.58 1466.04 793.97 1697.65 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.643 1.862 1.83 2.272 1.079 1.079 Tcr/4 (kNm) 4.63 4.63 4.63 4.63 4.63 4.63 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 1401.04 780.73 1519.58 1466.04 793.97 1697.65 AstPrv (sqmm) 1570.8 942.48 1570.8 1570.8 942.48 1884.96 Reinforcement 3-#20 2-#20 3-#20 3-#20 2-#20 3-#20 2-#20 3-#20 3-#20 3-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 44 47 47 PtPrv (%) 1.218 0.731 1.461 Vu (kN) 238.41 231.15 246.36 Mu-Sect (kNm) 211.67 81.56 240.86 Φ Vc (kN) 91.61 93.93 92.48 Vs (kN) 195.73 182.96 205.17 Av (sqmm) 1099.5 1027.75 1152.5 Tu (kNm) 2.27 1.08 1.08 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12
  • 83. At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 1099.5 1027.75 1152.5 Asv Reqd (sqmm) 1099.504 1027.75 1152.503 SCalc (mm) 165 165 165 SPrv (mm) 165 165 165 Av Total Prv (sqmm) 1370.91 1370.91 1370.91 Maximum Spacing Criteria Basic Spc1 = 300 mm Spc2 = 166 mm Skin reinforcement Beam Width = 300 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G12 Beam No : B34 Analysis Reference (Member) 7.2m : 56 10.2m : 67 13.2m : 78 Beam Length : 1600 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Cantilever Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm
  • 84. For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 218 218 - - 218 218 Critical L/C - RCDC 43 43 - - 43 43 Mu (kNm) 51.066 21.069 - - 51.354 93.781 As (flex) (sqmm) (C) 324.83 132.52 - - 326.69 606.6 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 44.592 44.592 - - 44.592 44.592 Tcr/4 (kNm) 5.93 5.93 - - 5.93 5.93 Al, min(sqmm)(Tor.) 56.91 56.91 - - 56.91 56.91 Al (sqmm) (Tor.) (E) 996.35 996.35 - - 996.35 996.35 Al (Dist) (sqmm) (D) 205.13 205.13 - - 205.13 205.13 Ast (sqmm) 529.96 438.94 195.65 195.65 531.82 811.73 AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1884.96 1884.96 Reinforcement 3-#20 3-#20 3-#20 4-#20 2-#20 4-#20 2-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 43 43 43 PtPrv (%) 0.626 1.252 1.252 Vu (kN) 82.96 94.11 110.52 Mu-Sect (kNm) 10.22 25.24 93.78 Φ Vc (kN) 107.58 119.6 107.74 Vs (kN) - - 3.7 Av (sqmm) 295.89 295.89 295.89
  • 85. Tu (kNm) 44.59 44.59 44.59 Aoh 120400 120400 120400 At (sqmm) 1403.31 1403.31 1403.31 Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 1403.305 1403.305 1403.305 Av Total Reqd (sqmm) 1403.31 1403.31 1424.1 Asv Reqd (sqmm) 1403.305 1403.305 1424.105 SCalc (mm) 160 160 155 SPrv (mm) 160 160 155 Av Total Prv (sqmm) 1413.75 1413.75 1459.35 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm For Torsion (X1 = 280, Y1 = 430) Spc3 = X1 = 280 mm Spc4=(X1+Y1)/4 = 175 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Tu = 44.59 kNm Tcr/4 = 5.93 kNm Tu > Tcr/4 , Hence Skin Reinforcement is Provided Al Tor. (max) = 996.35 sqmm Asr = Max(Al(min)(Tor.), Al(Tor.)) x (2D / (2B+2D)) = 586.09 sqmm SR provided = 3-#12EF Asr provided = 678.6 sqmm Spacing Criteria Maximum Permissible Spacing = 286 mm Provided Spacing = 85 mm Hence OK
  • 86. Group : G12 Beam No : B35 Analysis Reference (Member) 7.2m : 55 10.2m : 66 13.2m : 77 Beam Length : 6390 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 120 219 109 219 109 222 Critical L/C - RCDC 21 44 10 44 10 47 Mu (kNm) 72.882 88.474 77.59 268.887 59.968 249.951 As (flex) (sqmm) (C) 467.53 571.06 498.63 1883.21 382.76 1733.79 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.75 0.625 0.63 0.625 0.632 0.758 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 508.94 571.06 508.94 1883.21 497.58 1733.79 AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96 Reinforcement 3-#20 3-#20 3-#20 4-#20 2-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast
  • 87. Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 44 1 47 PtPrv (%) 1.252 0.626 1.252 Vu (kN) 162.28 30.38 157.29 Mu-Sect (kNm) 268.89 28.92 249.95 Φ Vc (kN) 101.8 100.99 102.07 Vs (kN) 80.63 - 73.63 Av (sqmm) 452.94 295.89 413.6 Tu (kNm) 0.63 0.06 0.76 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 452.94 295.89 413.6 Asv Reqd (sqmm) 452.945 295.894 413.596 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement
  • 88. Beam Width = 350 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G12 Beam No : B36 Analysis Reference (Member) 7.2m : 54 10.2m : 65 13.2m : 76 Beam Length : 5800 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 112 219 117 219 117 222 Critical L/C - RCDC 13 44 18 44 18 47 Mu (kNm) 79.721 85.991 83.81 252.264 64.791 234.845 As (flex) (sqmm) (C) 512.77 554.48 539.96 1751.86 414.31 1616.86 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.394 0.844 0.78 0.844 0.776 0.328 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93 Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 512.77 554.48 539.96 1751.86 508.94 1616.86 AstPrv (sqmm) 942.48 942.48 942.48 1884.96 1256.64 1884.96
  • 89. Reinforcement 3-#20 3-#20 3-#20 4-#20 2-#20 4-#20 4-#20 2-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 44 1 47 PtPrv (%) 1.252 0.626 1.252 Vu (kN) 157.8 27.71 152.79 Mu-Sect (kNm) 252.26 23.64 234.85 Φ Vc (kN) 102.03 101.62 102.29 Vs (kN) 74.36 - 67.34 Av (sqmm) 417.73 295.89 378.27 Tu (kNm) 0.84 0.19 0.33 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 417.73 295.89 378.27 Asv Reqd (sqmm) 417.732 295.894 378.273 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175 Av Total Prv (sqmm) 1292.57 1292.57 1292.57 Maximum Spacing Criteria Basic
  • 90. Spc1 = 350 mm Spc2 = 178 mm Skin reinforcement Beam Width = 350 mm Beam Depth = 500 mm Depth = 500 < 900 and Tu < Tcr, Hence Skin Reinforcement is not required. Group : G12 Beam No : B37 Analysis Reference (Member) 7.2m : 53 10.2m : 64 13.2m : 75 Beam Length : 3810 mm Breadth (B) : 350 mm Depth (D) : 500 mm Effective Depth (d) : 430 mm Design Code : ACI 318M - 2011 Beam Type : Regular Beam Grade Of Concrete (f'c) : C28 N/sqmm Grade Of Steel : Fy414 N/sqmm Clear Cover (Cmin) : 40 mm Es : 2x10^5 N/sqmm Mubal : 459.24 kNm As,min (flex) (B) : 508.94 sqmm As,nominal (Bn) : 195.65 sqmm For Longitudinal Reinf Beam Bottom Beam Top Left Mid Right Left Mid Right Critical L/C - Analysis 120 120 109 219 219 222 Critical L/C - RCDC 21 21 10 44 44 47 Mu (kNm) 151.057 94.594 155.02 240.413 99.607 212.281 As (flex) (sqmm) (C) 1000.69 612.06 1028.71 1659.73 645.8 1445.74 Asc (flex) (sqmm) (A) - - - - - - Tu (kNm) 0.703 0.703 0.76 0.763 0.763 0.695 Tcr/4 (kNm) 5.93 5.93 5.93 5.93 5.93 5.93
  • 91. Al, min(sqmm)(Tor.) - - - - - - Al (sqmm) (Tor.) (E) - - - - - - Al (Dist) (sqmm) (D) - - - - - - Ast (sqmm) 1000.69 612.06 1028.71 1659.74 645.8 1445.74 AstPrv (sqmm) 1256.64 1256.64 1256.64 1884.96 1256.64 2199.12 Reinforcement 4-#20 4-#20 4-#20 4-#20 2-#20 4-#20 4-#20 3-#20 Note: Calculation of Ast Ast = Max {B, C+D, A+D} (for Mu > 0) Ast = Bn (for Mu = 0) Where, A = Asc (flex) = Compression reinforcement required for bending moment B = As,min (flex) = Min area of flexural reinforcement Bn = As,nominal = Nominal area of reinforcement C = As (flex) = Total area of longitudinal reinforcement calculated at a given section D = Al (Dist) = Distributed longitudinal torsional reinforcement at section considered Ast (Dist) (sqmm) = Max(Al,min (Tor), Al (Tor)) x ((2B) / (2B + 2D)) For Transverse Reinf Left Mid Right Critical L/C - RCDC 44 1 47 PtPrv (%) 1.252 0.835 1.461 Vu (kN) 159.34 19.81 149.58 Mu-Sect (kNm) 240.41 5.51 212.28 Φ Vc (kN) 102.41 111.59 104.06 Vs (kN) 75.9 - 60.69 Av (sqmm) 426.34 295.89 340.93 Tu (kNm) 0.76 0.03 0.7 Aoh - - - At (sqmm) - - - Legs 2 2 2 Stirrup Rebar 12 12 12 At Torsion (sqmm) 0 0 0 Av Total Reqd (sqmm) 426.34 295.89 340.93 Asv Reqd (sqmm) 426.345 295.894 340.929 SCalc (mm) 175 175 175 SPrv (mm) 175 175 175