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Eelo University
Steel structure design
At
Senior Engineering
EELO
UNIVERCITY
Department of Civil engineering
Steel Structure Design
Project Report
2017-2018
GROUP TWO
Group Names ID:No
1. Yasin Said Mohamed 1469
2.Mohamed Ahmed Mohamed 1471
3. Abdirahman Farah Ainab 1467
4.Mohamed Abdi nour Mohamud 488
Table of contacts
1. Roofing system……….………………………………………..1
 Iron sheet
 Purlines
 Truss analysis
2. Slab………………………………………………………………….9
3. Beams…………………………………………………...............19
 Beam under the truss
 Beam under the slab
4. Columns………………………………………………………….37
 Colum A
 Column B
 Column C
5. Connections…………………………………………………….52
6. Footing Design…………………………………………………56
 Footing A
 Footing B
 Footing C
7. Stair Case…………………………………………………………66
Introduction
The aim of this book is to provide students and practicing engineers with a guide of
structural steel design to meet the requirement of BS 5950:Part 1: 2000 Structural
Use of Steelwork in Building. The emphasis has been to illustrate the clauses in the
code rather than to match practical cases exactly. The first part of the book gives
basic design concepts of structural elements comprising beam, column, connection,
roof truss, and plate girder. In the second part, it presents worked examples of design
of structural steel elements which are of commonly used in building frame
structures. The examples have different design problem, which require different
approach of loading analysis and design formula.
Steel structure is a metal structure which is made of structural steel* components connect
with each other to carry loads and provide full rigidity. Because of the high strength grade of
steel, this structure is reliable and requires less raw materials than other types of structure like
concrete structure and timber structure.
In modern construction, steel structure is used for almost every type of structure including heavy
industrial buildings, multi-story buildings, equipment support systems, infrastructure, bridges,
towers, airport terminals
*Structural steel is steel construction material which fabricated with a specific shape and
chemical composition to suit a project’s applicable specifications.
Depending on each project’s applicable specifications, the steel sections might have various
shapes, sizes and gauges made by hot or cold rolling, others are made by welding together flat or
bent plates. Common shapes include the I-beam, HSS, Channels, Angles and Plate.
4 reasons why steel structure is the best choice?
1. Cost savings
Steel structure is the cost leader for most projects in materials and design. It is inexpensive to
manufacture and erection, requires less maintenance than other traditional building methods.
2. Creativity
Steel has a natural beauty that most architects can’t wait to take advantage of. Steel allows for
long column-free spans and you can have a lot of natural light if you want it in any shape of
structure.
3. Control and Management
Steel structures is fabricated at factory and rapidly erected at construction site by skilled
personnel that make safe construction process. Industry surveys consistently demonstrate that
steel structure is the optimal solution in management.
4. Durability
It can withstand extreme forces or harsh weather conditions, such as strong winds, earthquakes,
hurricanes and heavy snow. They are also unreceptive to rust and, unlike wood frames, they are
not affected by termites, bugs, mildew, mold and fungi.
What are pre-engineered buildings?
Pre-engineered buildings are built over three members connected to each other:
 Primary members (columns, rafters, bracing…)
 Secondary members (Z or C purlins, girts and eave struts)
 Roof and wall sheeting connected to each other
 Other building components
Design Of
Roofing System
Designed By: Sheet1/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference Purlines Design Remark
RHS:Table
Given Data
Spacing of truss = 6m
Nod to nod spacing =3m
Roof sheet and purline = 0.3KN/m2
( on slope)
Self-weight of truss = 0.2KN/m2
( on plan)
Imposed load = 1kn/m2
(on plan)
Design of purline
king post = tan16*9 = 2.58m
un factored load on purlin = = 0.312 KN/m2
un factored imposed load = 1 KN/m2
on plan
Total un factored load = (0.31+1)*6m*3m = 23.61 KN/m2
On each Node
Slope of Roof = 16o
< 30o
For Rectangular Hallow Section (RHS)
Zlimit = = = 78.7cm3…………..Elastic
Dlimit = = = 85.7mm
Blimit = = = 40cm3
Try 120*80*8 (Zx=87.5) form code
3188975
Design Of
Roofing System
Designed By: Sheet2/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of truss members Remark
Design load = 1.4 (0.312+0.2) +1.6(1)
=0.761+1.6 = 2.31 KN/m2
Total point load on Each node =2.31*6*3 = 41.65 KN
Truss Analysis
Determinate Or In-Determinate
 Determinate trusses
M+R=2J m =21 r =3 j =12
21+3=2*12
24=24
Stability Checking
 Truss internally unstable (M < 2J-3)
 Truss Internally Stable (M 2J -3)
2*12-3 =21
Section truss
Design Of
Roofing System
Designed By: Sheet3/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of truss members Remark
Fy
∑ y
∑ x
∑
∑ x
∑ y
∑ x
∑
Af = = 62.47 KN
Ay -20.82 -41.65 -41.56 20.82 + 62.47 = 0
Ay = 62.47KN
Joint A
∑ y
62.47 -20.82 + Sin160 (FAC) =0
FAC = = 151.1KN (c)
FAB- Cos160 (151.1) = 0
FAB = 145.2KN (C)
Joint B
FBC = 0
-145.1 + FBD = 0
FBD = 145.2KN (T)
Joint C
-41.65 +sin160 (FCE) - Sin160 (FCD) +Sin160 (151.1) = 0
-41.65 + 41.65 + 0.2756 FCD = 0
- 7 FCD………………………………………… ………………Equation
Cos160 (151.1) + Cos160 (FCE) + Cos160 (FCD) = 0
145.2 + 0.961FCE FCD …………………………..Equation (2)
Design Of
Roofing System
Designed By: Sheet4/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of truss members Remark
∑ y
∑ y
∑ y
Joint C …..cont”
0.2765FCE – 0.2756 FCD = 0
0.961FCE +0.961FCD = - 145.2
FCE = – 75.5KN (C)
FCD = – 75.5KN (C)
Joint D
∑ x
-145.5 + Cos160 (75.5) +FDF = 0
-145.2 + 72.57 + FDF = 0
FDF = 72.63KN (T)
FDE – Sin160 (75.5) = 0
FDE = 20.8KN (T)
Joint E
-20.8 - 41.65 - Sin160 (FEF) + Sin160 (75.5) + Sin160 (FEG) = 0
- 20.8 – 41.65 - 0.256FEF + 20.8 + 0.256FEG = 0
-41.65 – 0.256FEF + 0.256FEG = 0
0.256FEF -0.256FEG = 41.65 ……………………… Equation
75.5 Cos160 + FEG Cos160 + Cos160 (FEF) = 0
0.961FEG + 0.96FEF = - 7 7……………………………Equation )
Design Of
Roofing System
Designed By: Sheet5/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of truss members Remark
∑ y
∑
Joint E… …Cont
0.256FEF -0.256FEG = 41.65
0.961FEG + 0.96FEF = - 72.57
FEG = 37.8 (T)
FEF = 113.3 (C)
Joint G
-41.65-FGE-sin16FGI-sin16(37.8)=0
-41.65-FGE-0.275FGI-10.41=0
-FGE-0.275FGI= ……………… Equation
-FGE-10.38-52.06 =0
FGE=62.44(c)
Cos16(37.8)+cos16FGI = 0
-36.3+0.96FGI=0
=
FGI=37.76(T)
Design Of
Roofing System
Designed By: Sheet6/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of truss members Remark
∑ y
∑ x
Joint D
124.94 -62.44- Sin160 (113.3) + Sin160 (FDI) = 0
-31.27 + 0.275FDI = 0
FFI = = - 113.44 (C)
FFH – 72.63 + Cos16(113.3) - Cos16(113.3) = 0
FFH 72.63 (T)
MEMBER FORCE
FAC -151.1KN
FAB -145.2 KN
FBD 145.2 KN
FCE -75.5 KN
FCD -75.5 KN
FDF 72.63 KN
FDE 20.8 KN
FEG 37.8 KN
FEF -113.3 KN
FGE -62.44 KN
FGI 37.76 KN
FFI -113.44 KN
FFH 72.63 KN
Design Of
Roofing System
Designed By: Sheet7/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of truss members Remark
Code page
29
Design of top members (tension members)
Tension Force Fv = 145.2KN
Design strength Py = 275KN/m2
Area of section required = 145.2 x = 5.28cm2
Try square hallow section = 50 x50 x4 SHS ( Ag = 7.19cm2
)
Members are welded at the connection, therefore no deduction for bolt holes
at the cross sectional area. Members are symmetrical section, there is no
reduction in cross section, hence, Ae = Ag
Tension capacity, Pt = Ae*Py = (7.19 x 100 x275/1000)
= 197.7KN
Ft < Pt = 145.2 KN < 197.7 KN……………………… ok
Design of bottom members ( compression member)
For the bottom chord, lateral and vertical restraints are provided at 4.5m
Spacing respectively. From the analysis results, the compression force in
member(JG) is greater than (GE), therefore check the capacity of member JG
Only, which has higher axial load
Design the member using rectangular hallow section in Grade S 275
Compression member, Fc = 151.1KN
Try section = 90 x90 x8( Ag = 25.6 cm2 )
r = 3.32
d 90 -3(8) = 66mm
d/t = 66/8 = 8.25 < 40…… Section Is Not Slender
Cl : 3.4.3
Effective net
area
Design Of
Roofing System
Designed By: Sheet8/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of truss members Remark
Le = 0.85 x 4500 = 3825mm
= = = = 115.2
Pc = 123.5 N/mm2
Pc = Ag x Pc = 2560 x 123.5/1000 = 316.15KN……………..Ok
Try square hallow section = 50 x50 x4 SHS ( Ag = 7.19cm2
)
Table 24(a)
Design Of
Slab System
Designed By: Sheet9/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
R.C.C. Design of Slab
Design Of
Slab System
Designed By: Sheet10/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
Fcu = 30N/mm2 Designing
Fy = 460N/mm2 a) slab 1
Thickness of slab = 150mm b) slab 2
Screed thickness = 20mm
Concrete cover for slab (c) = 25mm
Live load =5 KN/m2
Concrete density (pc) = 25Kg/m3
Second Floor
2.1) Loading System (S1)
(Two edge continuous slab)
= = 1.4 < 2 Two way slab
Self-weight of slab = c * h=0.15x25 = 3.75KN/m2
Finishing is Assume to = 1KN/m2
Total dead load on the slab (n) =3.75+1 = 4.75 KN/m2
Live load = 5KN/ m2
Ultimate Design load = 1.4(DL) + 1.6(LL) = 1.4(4.75) +
1.6(5)
= 14.65 KN/ m2
Design Of
Slab System
Designed By: Sheet11/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
At the mid span short side
Assume = 12mm
D = h – cover - /2
D = 281– 25 - = 250mm
Msx1 = SX * nLx2 = 0.0522* 14.65* 6.362 = 30.16KN.m/m
K = = = 0.016 < 0.156
Z = d(0.5+ √ = d(0.5+ √ = 0.97d > 0.95d
Asmin = = = 325mm2
Area of steel req = = = 290 mm2 > Asmin
Therefore provide T10 – 200 mm c/c (Apr = 395mm2/m)
Single
reinforcement
use 0.95d
Design Of
Slab System
Designed By: Sheet12/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
Mid span of longer side
D = 250 – 25 -12 -12/2 = 207mm
Msy1 = SX * nLx2 =0.034* 14.475*6.362 = 19.9 KN.m/m
K = = = 0.015 < 0.156
Z = d(0.5+ √ = d(0.5+ √ = 0.97 > 0.95d
Area of steel = = = 226.8 mm2
Provide T 10 – 275c/c (As = 287mm2)
Continuous edge short side
d = 207 – 30 – 12/2 = 171mm
Msy1 = SX * nLx2 = 0.0752 * 14.475* 6.362 = 38.6KN.m/m
K = = = 0.044 < 0.156
Z = d(0.5+ √ = d(0.5+ √
= 0.94d > 0.95d (use 0.95d)
As = = = 550. mm2 > As min
ProvideT12 – 125c/c (As pro = 632 mm2
)
OK
Use 0.95d
Design Of
Slab System
Designed By: Sheet13/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
Continuous edge of longer side
d = 281 – 30 - = 250mm
Msy1 = SX * nLx2
=0.045* 14.475*6.362
= 40.45KN.m/m
K = = = 0.02 < 0.156 (Satisfactory)
Z = d(0.5+ √ = d(0.5+ √ = 0.969d
= 0.096d > 0.95d ( use 0.95d)
As req = = = 99.3 mm2
Provide T10 – 300 ( As pro = 263 mm2
)
Distribution Reinforcement
Apply as minimum = = = 260 mm2
Therefore provide T 10 – 287 c/c (As pro = 287 mm2
)
Design Of
Slab System
Designed By: Sheet14/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
Shear checking
Vsx1= VX * nLx= 0.526 X 14.65 X 6.36 = 49 KN
V = = = 0.196
= = 0.22 < 3
= = 1.6 > 1
Vc = ( ) ( ) ( ) = 0.632 x 0.6 x 1.12 x 1.062
= 0.81 > V=0.196
Shear link is not required
Design Of
Slab System
Designed By: Sheet15/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
Deflection Checking
( )actual = 25.44( )basic = 26
= = 0.61
FS = = = 250
Modification factor = 0.55 + = 0.55 +
= 1.25 < 2
( )actual 26 x 1.25 = 32.5 > 25.44 “satisfactory”
Crack Checking
Maximum clearance distance 3d @ 750mm
3 x 119 = 357mm
357 – 10 = 347
Design Of
Slab System
Designed By: Sheet16/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
LOADING SYSTEM
= = 1.43 < 2 Two way slab
Self-weight of slab = c * h=0.15x25 =3.75KN/m2
Finishing is Assume to be = 1KN/m2
Total dead load on the slab (n) =3.75+1 = 4.75 KN/m2
Live load = 5KN/ m2
Ultimate Design load = 1.4(DL) + 1.6(LL) = 1.4(4.75) + 1.6(5)
= 14.65 KN/ m2
Middle of short span
Msx1 = SX * nLx2
= 0.0416x 14.65 x 6.362
= 24.65KN.m
D = 281– 25- = 250mm
K = = = 0.013 < 0.156
Z = d(0.5+ √ = d(0.5+ √ )
= 0.98d > 0.95d use 0.95d=
As req = = = 237.5mm2
Asmin = = 365.3mm2
As <Asmin therefore use Asmin
Provide T10- 200 c/c ( Aspro = 395 mm2
)
Design Of
Slab System
Designed By: Sheet17/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
Middle of long span
Msy1 = SX * nLx2
=0.028* 14.65*6.362
= 1 6.592 KN.m/m
D = 281-25- = 250mm
K = = = 0.0088< 0.156
Z = d(0.5+√ = d(0.5+ √ = 0.99d>0.95d use 0.95d
As req = = As req = = 160mm2
Asmin = = 365.3mm2
As req< Asmin therefore use Asmin
Provide T 12 – 200 c/c ( Aspro = 395 mm2
)
Long Continuous Side
Msy1 = SX * nLx2
=0.037* 14.65*6.362
= 21.92 KN.m/m
d = 281 – 25 - = 250 mm
K = = = 0.0116 < 0.156
Z = d(0.5+ √ = d(0.5+ √ = 0.986d >0.95d use 0.95d
As = = = 211.2mm2
Asmin = = 365.3mm2
< Asmin therefore Asmin
Provide T 10 – 200 c/c ( Aspro = 395 mm2
)
Design Of
Slab System
Designed By: Sheet18/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
R.C.C. Design of Slab Remark
Check for Shear
Vsx1 = VX * nLx2
= 0.456 X 14.65 X 6.36 = 42.4KN
V = = = 0.168
= = 0.14 < 3
= = 1.6 > 1 ……………………2
Vc = ( ) ( ) ( ) = 0.63 x 0.526 x 1.12 x 1.062
= 0.4 > V =0.37
Shear link is not required
Checking for deflection of short span
= = 0.529
FS = = = 265.8
Modification factor = 0.55 +
( )
=0.55 + = 1.78< 2
( )actual = 25.2 ( )basic= 26
( )allow 26 x 1.78= 46.3>25.2 oky
Design Of
Beam System
Designed By: Sheet19/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam Remark
= = 2.25 <2 Two way slab
Self-weight of slab = Ƥc h =0.281x25 .
= 7.025KN/m2
Finishing is Assume to be = 1KN/m2
Self-weight of screed = 0.02x25
=0.5KN/m2
Total dead load on the slab (n) =8.525KN/m2
Dead load of beam from slab = WD = * +
= [
( )
]
= 18.07 x 1.255 = 22.67 x 2 side KN/m
= 45.36 KN/m
Self -weight of beam = 0.98KN/m
Total dead load on the beam = 46.30KN/m
(LL) on Beam from slab (n) WL = [
( )
] = [
( )
]
= 13.4KN/m x 2 sides
= 22.88 KN/m
Design Of
Beam System
Designed By: Sheet20/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam Remark
Design Of
Beam System
Designed By: Sheet21/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam Remark
Ultimate load design = 1.4(DL) + 1.6(LL) = 1.4( 46.36) + 1.6(26.6)
= 107.5KN.m
M = = = 1112.75 KN.m
Sx = = 4046.3cm3
Try UB = 914x419x388 ( Sx = 17700)
Design Of
Beam System
Designed By: Sheet22/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam Remark
Section geometrical property
Plastic modulus sx =17700mm3
Elastic modulus Zx =15800mm3
Depth D = 921mm
Width B = 420.5mm
Web thickness t =21.4mm
Flange T =36.5mm
Depth between fillet d =799.6mm
Roof radius r =24.1mm
Flange slenderness b/T =5.74
Web slenderness d/t =37.4
Moment of inertia I =720000cm4
Buckling parameter u =0.885
Torsional index x =26.7
Check for design strength ( Py) and section classification for flange thickness
of T = 18.2, Py = 275 N/mm2
ɛ = * + = * + = 1.037
Compacting limiting of volume of b/T = 9ɛ = 9.3 x 1.03 = 9.3 > 5.74
Compacting limiting of volume of d/t = 80ɛ = 80 x 1.03 = 81 > 37.4
Therefore the section is Plastic
Table 9
Table 11 Node(b)
Design Of
Beam System
Designed By: Sheet24/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam Remark
check for shear capacity at the support (max.shear)
FV = 490.3KN
1) Shear capacity pv=0.6 PYAv
Pv= 0.6 PYDt =0.6 x 21.4 x 921 x 265 x 10-3
= 3133.8kN > 490.3--------------------------OK
2) Check section for moment capacity
Moment max = 1112.75KN.m
0.6Pv = 0.6 x 3133.8
= 1880.3 KN.m
Fv < Pv = 490.3 < 1880.3 KN.m…it is low shear ………… OK
3) Moment capacity with low shear load for plastic section
Mcx = Py Sx 1.2PyZx
= 265 x 17700 x 10-3
1.2 x 265 x 15800 x 10-3
= 4690.5 5024.4
Mcx = 4690.5 KN.m
M < Mx 1112.75 < 4690.5 KN.m………… ……………….. OK
Cl:4.2.3
Cl:4.2.5
Design Of
Beam System
Designed By: Sheet25/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam Remark
4) Check for lateral torsional buckling capacity
M
M = 950kn
Mlt = 0.85
Mb = SxPb =
Pb = uv w
5) Checking bearing and buckling at support
I. Bearing
Fv < Pwb
Local capacity of the web: Pbw = ( b1 +nk)tpw
The section properties of angle : 160 x160 x 18
. t = 18
.r = 16
Stiff bearing length b1 = is obtained by taking a tan at 450 through the
. bearing i.e along the tangent to root angle
b1 = 2t + 0.8r – c
b1 = 2(18) +0.8(16) – 8.76 = 40.04
k = T+r = 36.5 + 24.1 = 60.6
n = 2
Pwb = ( b1 +nk)tpyw
= (40.04+2(60.6) x 21.4 x 265 x 10-3
= 914.39KN
Forced applied through the flange
914.39 > 490.3 KN ………………………………….OK
Therefore bearing stiffener is not required.
Cl:3.1.3
Cl:4.5.2.1
Design Of
Beam System
Designed By: Sheet25/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam Remark
Bucking
ae = 40.04/2 = 20.02 mm ( ae = 0.7d)
Buckling resistance off the un-stiffened web.
Px = x
√
= x
√
x 914.39
= 053x 1.8
= 14,086.5
Fv = 490.3 KN < 858 KN …… ……………………………. OK
Check for deflection under servicebility loads
[
( )
] = 10.6 x 1.255 = 13.3 x 2 = 26.6 KN
E= 205KN/mm2
I= 720000cm4
=* + x104
=* + x104
= 0.16 mm
Limiting lim=span/360 = 9100/360 = 25.27 > 0.16 …………Ok
Cl: 4.5.3.1
Table 8
Design Of
Beam System
Designed By: Sheet26/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam two Remark
= = 2.25 <2 Two way slab
Self-weight of slab = Ƥc x h = 0.281x25 .
= 7.025KN/m2
Finishing is Assume to be = 1KN/m2
Self-weight of screed = 0.02x25
= 0.5KN/m2
Self-weight of brick wall 18Kgm/m3 x 0.15 x 4
= 10.8KN/m
Total dead load on the slab (n) = 19.325KN/m
Dead load of beam from slab = WD = * +
= [
( )
]
= 40.9 x 1.08 = 51.4 KN/m
Self -weight of beam = 0.98KN/m
Total dead load on the beam = 52.4 KN/m
Live load on Beam from slab (n) WL = [
( )
]
= [
( )
]
= 13.3 KN/m
Ultimate load design = 1.4(DL) + 1.6(LL) = 1.4( 52.4) + 1.6(13.3)
= 94.64 KNm2
Design Of
Beam System
Designed By: Sheet27/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam two Remark
M = = = 979.6 KN.m
Sx = = = 3562cm3
Try UB = 914x419x388 ( Sx = 17,700)
Design Of
Beam System
Designed By: Sheet28/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam two Remark
Section geometrical property
Plastic modulus sx =17700mm3
Elastic modulus Zx =15800mm3
Depth D = 921mm
Width B = 420.5mm
Web thickness t = 21.4mm
Flange T = 36.5mm
Depth between fillet d = 799.6mm
Roof radius r = 24.1mm
Flange slenderness b/T = 5.74
Web slenderness d/t = 37.4
Moment of inertia I = 720000cm4
Buckling parameter u = 0.885
Torsional index x = 26.7
Check for design strength ( Py) and section classification for flange thickness
of T = 18.2, Py = 275 N/mm2
ɛ = * + = * + = 1.037
Compacting limiting of volume of b/T = 9ɛ = 9.3 x 1.03 = 9.3 > 5.74
Compacting limiting of volume of d/t = 80ɛ = 80 x 1.03 = 81 > 37.4
Therefore the section is Plastic
Table 9
Table 11
Node(b)
Design Of
Beam System
Designed By: Sheet29/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam two Remark
FV = 430.6 KN
1) Shear capacity pv=0.6 PYAv
pv=0.6 PYDt =0.6 x 21.4 x 921 x 265 x 10-3
= 3133.8kN > 430.6--------------------------OK
Check section for moment capacity
Moment max = 979.6 KN.m
0.6Pv = 0.6 x 3133.8
= 1880.3 KN.m
Fv < Pv = 430.6 < 1880.3 KN.m…it is low shear ………… OK
Moment capacity with low shear load for plastic section
Mcx = Py Sx 1.2PyZx
= 265 x 17700 x 10-3 1.2 x 265 x 15800 x 10-3
= 4690.5 5024.4
Mcx = 4690.5 KN.m
M < Mx 979.6 KN.m < 4690.5 KN.m………………………….. OK
Design Of
Beam System
Designed By: Sheet30/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam two Remark
1) Check for deflection under servicebility loads
[
( )
] = 10.6 x 1.255 = 13.3 x 2 = 26.6 KN
E = 205KN/mm2
I = 720000cm4
=* + x104
=* + x104
= 0.16 mm
Limiting lim=span/360 = 9100/360 = 25.27 > 0.16 …………Ok
2) Check for lateral torsional buckling capacity
M
M=950kN
Mlt=0.85
Mb= SxPb =
Pb = uv w
U=0.885
Le= 1.0xL = 1.0x9100 = 9100
Ry= 95.9
𝛌y = 9100/95.9 = 94.8
X = 26.7
𝛌/x = 94.8/26.7 = 3.35
V= 0.89
𝛌 uv w = x x x = 79.5
Py =265 =79.5
Mb = 161x10-3
x17700 = 2849.7
Mb/mlt > M 2849.7/.85 = 3352.5KN > 979.6 KN.m
Design Of
Beam System
Designed By: Sheet31/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam two Remark
1) Checking bearing and buckling at support
II. Bearing
Fv < Pwb
Local capacity of the web: Pbw = ( b1 +nk)tpw
The section properties of angle : 160 x160 x 18
. t = 18
.r = 16
Stiff bearing length b1 = is obtained by taking a tan at 450 through the
. bearing i.e along the tangent to root angle
b1 = 2t + 0.8r – c
b1 = 2(18) +0.8(16) – 8.76 = 40.04
k = T+r = 36.5 + 24.1 = 60.6
n = 2
Pwb = ( b1 +nk)tpyw
= (40.04+2(60.6) x 21.4 x 265 x 10-3
= 914.39KN
Forced applied through the flange
914.39 > 490.3 KN ………………………………….OK
Therefore bearing stiffener is not required.
Bucking
ae = = 20.02 mm ( ae = 0.7d)
Buckling resistance off the un-stiffened web.
Px = x
√
= x
√
x 914.39
= 053x 1.8 x 914.39 = 858
Fv = 430.6 KN < 858 KN ………………………………………. OK
Design Of
Beam System
Designed By: Sheet32/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam three Remark
= = 2.25 < 2 Two way slab
Self-weight of slab = Ƥc x h = 0.281x25 .
= 7.025KN/m2
Finishing is Assume to be = 1KN/m2
Self-weight of screed = 0.02x25 = 0.5
Total dead load = 8.8KN/m2
= 17.61 x 2 sides = 35.22 KN/m
Self-weight of beam = 0.98 KN/m
Total dead load = 36.22
Live load = x 2 sides = 20 sides KN/m
Ultimate load = 1.4(DL) + 1.6(LL) = 1.4(36.2) + 1.6(20) = 86.68 KN/m
Design Of
Beam System
Designed By: Sheet33/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam three Remark
M = = = 371.8 KN.m
Shear = = 247.8 KN
Sx = = = 1352 cm3
Try UB = 610x 229 x 125(sx = 3880cm3)
Section geometrical property
Plastic modulus sx =3880mm3
Elastic modulus Zx =3220mm3
Depth D = 612.2
Width B = 229
Web thickness t = 11.9
Flange T = 19.6
Depth between fillet d = 547.6
Roof radius r = 12.7
Flange slenderness b/T = 5.84
Web slenderness d/t = 48
Moment of inertia I = 98800cm4
Buckling parameter u = 0.874
Torsional index x = 34.1
Check for design strength ( Py) and section classification for flange thickness
of T = 19.6, Py = 275 N/mm
ɛ = * + = * + = 1.0
Compacting limiting of volume of b/T = 9ɛ = 9x 1 = 9 > 5.84
Compacting limiting of volume of d/t = 80ɛ = 80 x 1 = 80 > 48
section is class one (plastic section)
Design Of
Beam System
Designed By: Sheet34/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam three Remark
1) Shear capacity pv=0.6 PYAv
FV = 247.8 KN
pv=0.6 PYDt =0.6x 612.2 x 19.6 x 275 x 10-3
= 1979.8 kN > 247.8--------------------------OK
1) Moment capacity with low shear load for plastic section
Mcx = Py Sx 1.2PyZx
= 275 x 3880 x 10-3 1.2 x 275 x3220 x 10-3
= 1067 1062.6 KN.m
Mcx = 1062.6 KN.m
M < Mx 371.8 KN.m < 1062.6 KN.m………………………….. OK
Design Of
Beam System
Designed By: Sheet35/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam three Remark
1) Check for deflection under servicebility loads
= 10 x 2 sides = 20 KN
E = 205KN/mm2
I = 98800cm4
=* + x104
=* + x104
= 7.7 mm
Limiting lim=span/360 = 6000/360 = 16.6 > 7.7 …………Ok
2) Check for lateral torsional buckling capacity
M
M=371.8kN
Mlt=0.85
Mb= SxPb
Pb = uv w
U = 0.874
Le = 1.0xL = 1.0x 6000 =6000
Ry = 49.7
𝛌y = 6000/49.7 = 120.7
X = 41.8
𝛌/x = 120.7/34.1 = 3.5
V= 0.89
uv w = x 7 x 7x = 93.8
Py =275 =145.4
Mb = SxPb =3880 x145.4 x 10-3
= 564 KN
Mb/mlt = 564/.85 = 663.7 KN > 371.8 KN…………………………. OK
Table 19
Design Of
Beam System
Designed By: Sheet36/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel beam three Remark
2) Checking bearing and buckling at support
III. Bearing
Fv < Pwb
Local capacity of the web: Pbw = ( b1 +nk)tpw
The section properties of angle : 160 x160 x 18
. t = 18
.r = 16
Stiff bearing length b1 = is obtained by taking a tan at 450 through the
. bearing i.e along the tangent to root angle
b1 = 2t + 0.8r – c
b1 = 2(18) +0.8(16) – 8.76 = 40.04
k = T+r = 36.5 + 24.1 = 60.6
n = 2
Pwb = ( b1 +nk)tpyw
= (40.04+2(60.6) x 21.4 x 275 x 10-3
= 948.89KN
Forced applied through the flange
948.8 > 247.8KN ………………………………….OK
Therefore bearing stiffener is not required.
IV. Bucking
ae = b1/2 = 40.04/2 = 20.02 mm ( ae = 0.7d)
Buckling resistance off the un-stiffened web.
Px = x
√
= x
√
x 948.8
= 0.53x 2.1 39 x 948.8 =1075.7
Fv = 247.6 KN < 1075.7KN ……………………………………. OK
Design Of
Beam System
Designed By: Sheet37/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel Column Remark
Design Of
Column System
Designed By: Sheet38/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Dead load (kn) Imposed load Total
Un-
factored
Factored x
1.4
Un-factored Factored
x 1.6
Level3(roof)
R1-3
R2-3
62.4
0.98
87.5
1.37
……….
……….
----------
----------
R2-1
R2-2
Self-weight of
column
64.8
64.8
.98
90.7
90.7
1.37
67.4
67.4
108
108
R1-3
R2-3
Self-weight of
column
64.8
64.8
90.7
90.7
0.98
67.4
67.4
108
108
Total 453.6 432 885.63
1) To determine nominal moment
Geometrical properties of section
356 x 406 x 467
D = 436.6 r = 15.2 ry = 107
B = 412.4 d = 290.1 rx = 107
T = 35.9 = 3.56 Ag = 595.5
T = 58 = 8.08 u = 0.839
I = 183118 x = 6.86 Zy = 3293
Zx = 8388 Sx = 10009 Sy = 5038
Total design axial load : Fc = 885
Design strength Py
Thickness of the thickest element of the steel. Section
T = 58 > 16
Py = 255
Design Of
Column System
Designed By: Sheet39/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Normal moment Mx
ex = 100 + = 100 + = 138.3
Mx = 318.3 x 198.7 x 10-3
= 63.24 KN.m
Normal moment My
ey = 100 + = 100 + = 117.95 mm
My = 198.7 x 117.9 x 10-3
= 23.43 KN.m
The ratio of large to lower column stiffness
= = X = 1.5
Since the ratio of column stiffness is equal 1.5, then the nominal moment can
be divided equally.
Mx = 63.24/2 = 31.62 KN.m
My = 23.34/2 = 11.72KN.m
To determine the capacity of column design strength Py
Thickness of the thickest element of the steel section
T = 58 < 63, Py = 255
Section classification
ɛ = * + = * + = 1.04
flange classification
= 3.56
b/T = 9ɛ = 9.3 x 1.04 = 9.3>3.56
Flange is class 1
Web classification
= 8.08
Check weather web is class 1
Design Of
Column System
Designed By: Sheet40/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Fc = is positive because axial is compression
R1 = = = 0.22 < -1 r1 1 ……………….OK
class is plastic section
Compression capacity for class 1 section
Pc = Ag*Pe
To determine Pc
Effective length = Le = 1 x 6000 = 6000mm
Slender ratio
x = = = 34.
y = = = 56
Rolled H section greater than 40mm
For buckling about x-x axis use struc curve c
For buckling y-y axis use struc curve d
x = 34.3 Py { } = 231.4 KN/mm2
y = 56 Py { } = 179 KN/mm2
Therefore Pcy = 179 KN/mm2
Compression Capacity Pc = Ag*Pc
= 595.5 x 102
x 179 x 10-3
= 10659.45 KN
Buckling resistance moment for column in simple construction
lt = 0.5(l/ry)
= 0.5(6000/107)
= 28
Py = 255
Pb = 255
Mbs = Pb* Sx = 255 x 10,009 x 10-3
= 2552.3 KN.m
Design Of
Column System
Designed By: Sheet41/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Moment capacity about minor axis
Py Zy = ( 255N/mm2
) ( 8388 x 10-3
)
= 2138.9 KN/m
Solving the intersection equation
+ + = 1
= + + = 1
= 0.08302 + 0.012389 + 0.00548 1
= 0.1 1
Try UC = 356 x 406 x 467
Design Of
Column System
Designed By: Sheet42/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Dead load (KN) Imposed load Total
Un-
factored
Factored x
1.4
Un-factored Factored
x 1.6
Level3(roof)
R1-3
R2-3
R3-3
124.8
0.98
……..
174.72
1.37
………
……….
……….
……….
----------
----------
…………
R1-2
R2-2
R3-2
Self-weight of
column
64.8
64.8
129.6
0.98
90.7
90.7
181.4
1.37
67.4
67.4
134.8
108
108
215.68
R1-1
R2-1
R3-1
Self-weight of
column
64.8
64.8
129.6
0.98
90.7
90.7
181.4
1.37
67.4
67.4
134.8
108
108
215.68
Total 904.43 863.36 1767.8
1) To determine nominal moment
Geometrical properties of section
356 x 406 x 467
D = 436.6 r = 15.2 ry = 107
B = 412.4 d = 290.1 rx = 107
t = 35.6 = 3.56 Ag = 595.5
T = 58 = 8.08 u = 0.839
I = 183118 x = 6.86 Zy = 3293
Zx = 8388 Sx = 10009 Sy = 5038
Total design axial load : Fc = 1767.8
Design strength Py
Thickness of the thickest element of the steel. Section
T = 58 > 16
Py = 255
Design Of
Column System
Designed By: Sheet43/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Normal moment Mx
ex = 100 + = 100 + = 138.3
Mx = Pc x xe = 318.3 x 968.92 x 10-3
= 308.4 KN.m
The ratio of large to lower column stiffness
= = X = 0.66 < 1
Since the ratio of column stiffness is equal 1.5, then the nominal moment can
be divided equally.
Mx = 63.24/2 = 31.62 KN.m
To determine the capacity of column design strength Py
Thickness of the thickest element of the steel section
T = 58 < 63, Py = 255
Section classification
ɛ = * + = * + = 1.04
flange classification
= 3.56
b/T = 9ɛ = 9.3 x 1.04 = 9.3 > 3.56
Flange is class 1
Web classification
= 8.08
Check weather web is class 1
Design Of
Column System
Designed By: Sheet44/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Fc = is positive because axial is compression
R1 = = = 0.22 < -1 r1 1 ……………….OK
class is plastic section
Compression capacity for class 1 section
Pc = Ag. Pe
To determine Pc
Effective length = Le = 1 x 6000 = 6000mm
Slender ratio
x = = = 34.
y = = = 56
Rolled H section greater than 40mm
For buckling about x-x axis use struc curve c
For buckling y-y axis use struc curve d
x = 34.3 Py { } = 231.4 KN/mm2
y = 56 Py { } = 179 KN/mm2
Therefore Pcy = 179 KN/mm2
Compression Capacity Pc = Ag*Pc
= 595.5 x 102 x 179 x 10-3
= 10659.45 KN
Buckling resistance moment for column in simple construction
lt = 0.5(l/ry) = 0.5(6000/107) = 28
Py = 255
Pb = 255
Mbs = Pb* Sx = 255 x 10,009 x 10-3 = 2552.3 KN.m
Design Of
Column System
Designed By: Sheet45/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Moment capacity about minor axis
Py Zy = ( 255N/mm2) ( 8388 x 10-3)
= 2138.9 KN/m
Solving the intersection equation
+ 1
= + = 1
= 0.16 + 0.12 = 0.28 1
= 0.28 1
Try UC = 356 x 406 x 467
Design Of
Column System
Designed By: Sheet46/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Dead load (KN) Imposed load Total
Un-
factored
Factored x
1.4
Un-factored Factored
x 1.6
Level3(roof)
R1-3
R2-3
R3-3
R4-3
124.8
0.98
……..
……..
174.72
1.37
………
………
……….
……….
……….
----------
----------
…………
R1-2
R2-2
R3-2
R4-2
Self-weight of
column
64.8
64.8
64.8
64.8
0.98
90.7
90.7
90.7
90.7
1.37
67.4
67.4
67.4
67.4
108
108
108
108
R1-1
R2-1
R3-1
R4-1
Self-weight of
column
64.8
64.8
64.8
64.8
0.98
90.7
90.7
90.7
90.7
1.37
67.4
67.4
67.4
67.4
108
108
108
108
Total 904.43 863.36 1767.8
1) To determine nominal moment
Geometrical properties of section
356 x 406 x 467
D = 436.6 r = 15.2 ry = 107
B = 412.4 d = 290.1 rx = 107
t = 35.6 = 3.56 Ag = 595.5
T = 58 = 8.08 u = 0.839
I = 183118 x = 6.86 Zy = 3293
Zx = 8388 Sx = 10009 Sy = 5038
Total design axial load : Fc = 1591.7
Design strength Py
Thickness of the thickest element of the steel. Section
T = 58 > 16
Py = 255
Design Of
Column System
Designed By: Sheet47/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Normal moment Mx
ex = 100 + = 100 + = 138.3
Mx = Pc x xe = 318.3 x 968.92 x 10-3 = 308.4 KN.m
The ratio of large to lower column stiffness
= = X = 0.66 < 1
Since the ratio of column stiffness is equal 1.5, then the nominal moment can
be divided equally.
Mx = 63.24/2 = 31.62 KN.m
To determine the capacity of column design strength Py
Thickness of the thickest element of the steel section
T = 58 < 63, Py = 255
Section classification
ɛ = * + = * + = 1.04
flange classification
= 3.56
b/T = 9ɛ = 9.3 x 1.04 = 9.3 >
3.56
Flange is class 1
Web classification
= 8.08
Check weather web is class 1
Design Of
Column System
Designed By: Sheet48/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Fc = is positive because axial is compression
R1 = = = 0.22 < -1 r1 1 ……………….OK
class is plastic section
Compression capacity for class 1 section
Pc = Ag. Pe
To determine Pc
Effective length = Le = 1 x 6000 = 6000mm
Slender ratio
x = = = 34.
y = = = 56
Rolled H section greater than 40mm
For buckling about x-x axis use struc curve c
For buckling y-y axis use struc curve d
x = 34.3 Py { } = 231.4 KN/mm2
y = 56 Py { } = 179 KN/mm2
Therefore Pcy = 179 KN/mm2
Compression Capacity Pc = Ag*Pc
= 595.5 x 102
x 179 x 10-3
= 10659.45 KN
Buckling resistance moment for column in simple
construction
lt = 0.5(l/ry)
= 0.5(6000/107)
= 28
Py = 255
Pb = 255
Mbs = Pb* Sx = 255 x 10,009 x 10-3
= 2552.3 KN.m
Design Of
Column System
Designed By: Sheet49/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel column Remark
Moment capacity about minor axis
Py Zy = ( 255N/mm2
) ( 8388 x 10-3
)
= 2138.9 KN/m
Solving the intersection equation
+ 1
= + = 1
= 0.16 + 0.12 = 0.28 1
= 0.28 1
Try UC = 356 x 406 x 467
Design Of
Column System
Designed By: Sheet50/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel Base plate for column Remark
7
Axial load of column = 1767.8 KN for column = 7
Bearing strength of concrete = 0.6Fcu …………………………………………………..
Take Fcu =
Area required ( ) = = =
{ } =
√
= = 15.33
Find the thickness of the base plate
tp = * + ………………………………………………………………………………………
where
Pyp = design strength of the of the base plate 7
tp = 15.33 * + = 7.84mm
7 ……………………………………………………………….. OK
Cl: 4.13.1
4.13.2.2
Design Of
Column System
Designed By: Sheet51/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel footing Remark
Design Of
Connection
System
Designed By: Sheet52/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel connection Remark
1) Assume the bottom row of bolts does not carry shear force.
Fs = = 7 7
Ft ∑
Assume center of rotation is about the bottom bolts:
Ymax = 400mm
∑ y
Ft
For simple of method
+
Shear capacity of connection;
Shear capacity of bolt:
Ps =
As = At 7 (Assume failure at thread of bolt)
Ps = 400N/mm2
Shear force, Ps = 7 7 7 7 … …
Shear capacity of bolt
Pbb = d.t.pbb FS 7 7 … …
(t is taken as the smaller of thickness offend plate and flange. The
thickness of column flange for = 356 x 406 x 467 UC is 58mm)
Table 30
Table 31
Design Of
Connection
System
Designed By: Sheet53/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel Connection Remark
Bearing capacity of plate;
Pbs = Pbs 0.5.e.t. Pbs = =
=
Pbs = 7 … … … … … … … … … … … … … …
Pnon = 7 7 7
Check interaction formula
+ = +
7
……………Ok
Therefore the connection is Safe
Check block shear capacity:
Pr = 0.6Py.t{ }
Lv =
Pr = 0.6 x 275 x 58{ }
Pr … … … … … … … … … … …
Table 32
Table 34
Cl: 6.2.4
Design Of
Connection
System
Designed By: Sheet54/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel Connection Remark
Solution
2) To determine the size of weld which is safe and economic for the
beam and plate connection;
Fs
Ft
* + =
Ft
Resultant force, FR =
FR = 0.3 N/mm
Use weid size 5mm, electrode class E35, Py =220N/mm2
Pw = 0.7.s.Pw 7 77 0.3KN
Design Of
Connection
System
Designed By: Sheet54/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel Connection Remark
Connection beam to beam
1) Assume the bottom row of bolts does not carry shear force.
Fs = =
Ft ∑
Assume center of rotation is about the bottom bolts:
Ymax = 300mm
∑ y
Ft
For simple of method
+
Shear capacity of connection;
Shear capacity of bolt:
Ps =
As = At (Assume failure at thread of bolt)
Ps = 400N/mm2
Shear force, Ps = … …
Shear capacity of bolt
Pbb = d.t.pbb FS … …
(t is taken as the smaller of thickness offend plate and flange. The
thickness of column flange for = 914 x 419x 388 UB is 21.4mm
Table 30
Table 31
Table 32
Design Of
Connection
System
Designed By: Sheet55/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel Connection Remark
Bearing capacity of plate;
Pbs = Pbs 0.5.e.t. Pbs = =
=
Pbs = … … … … … … … … … … … … … …
Pnon = 7
Check interaction formula
+ = + ……………Ok
Therefore the connection is Safe
Check block shear capacity:
Pr = 0.6Py.t{ }
Lv =
Pr = 0.6 x 275 x 21.4{ }
Pr … … … … … … … … … … …
Cl:6.2.4
Design Of
Footing System
Designed By: Sheet56/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Design of Steel Connection Remark
Solution
3) To determine the size of weld which is safe and economic for the
beam and plate connection;
Fs
Ft
* + =
Ft
Resultant force, FR =
FR = 0.3N/mm
Use weid size 5mm, electrode class E35, Py =220N/mm2
Pw = 0.7.s.Pw 7 77
Table 37
Design Of
Footing System
Designed By: Sheet57/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
ZERO MOMENT
Given Data
Total axial load = 1767 KN.m
Fcu = 40 KN/mm2
Fy = 460 KN/mm2
Solution
 Total live load and dead load.
Third floor loading
 Dead load (DL) = 904.43KN/m
 Live load (LL) = 863.36KN/m
Assume that = 25 > 20
Cover = 45 mm
a) Determine foundation thickness, h.
Deform types = La = 27
La = 27 x 26 = 675 mm
Assume that bar is bend = 200 mm
L = 675 – 200
= 475 mm
H = 475 + 45 + 2 x 25 = 570 mm = 600 mm
Design Of
Footing System
Designed By: Sheet58/74
Date:
18/1/2018017
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
b) Service limit state
1.0 GK + 1.0 QK = 1.0 X 904.43X 1.0 X 631.4
=1767KN + self weight of the footing
= 1767 + 10% ( 1767)
= 1944.7 KN
D = 600- 45 – 25 - 25/2 = 517.5 518 mm
Assume Bearing capacity = 200KN/m2
Required base Area = =
= 9.72 m2
Provide a base area of square = 9.7 m2
Footing self-weight = height footing x base Area xUnit-weight of
concrete
= 0.6 x 9.7 x 25 = 145.5 KN
Column design axial load = 1(DL) + 1(LL) = 1767KN
Earth pressure = = = 182.16KN/m2
Design Of
Footing System
Designed By: Sheet59/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
Try UC = 356 x 406 x 467
Moment = 182.1KN/m2
x 2.51 x x 3.1 =1778.2 KN
d = 600 – 45 – 25 – 25/2 = 517.5mm = 518mm
K = = = 0.053 < 0.156
Z = d(0.5 + √ ) = 0.937d ok
Ar req = = 5554.79 mm2
Check Armin= 0.13%bh = =2418 mm2
T25-200c/c (AS pro = 2450mm2
)
Design Of
Footing System
Designed By: Sheet60/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
Shear Check
Checking maximum shear
Vmax= = = 0.275 < 0.8 = 5.05
Normal Shear / Vertical shear
= = = 0.15N/ mm
VC= x ( ) x x ( )
= 0.632 x 0.531 x 1 x 1.17
= 0.4
Punching Shear
Critical perimeter = ( column perimeter + 8 x 1.5d)
= + 8 x 1.5 x 518
= 2461.6 + 6216
= 8677.6 mmVc
Area within perimeter =[ ]
= [ ]
= 3.81 x mm2
Punching shear force = 182( 3.12
– 3.81) = 1055.6KN
Punching shear stress = =
= 0.234
0.234 < 0.4
Check Crack = 3d @ 750mm
= 3 x 518 = 1554 mm > 750mm
Actual distance between =
– –
=
– –
= 353.75mm < 750 mm
H > 200mm
Design Of
Footing System
Designed By: Sheet61/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Referenc
e
FOUNDATION DESIGN Remar
k
Check = = = 0.15 < 0.3 …………………………ok
Detailing
Design Of
Footing System
Designed By: Sheet62/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
Maximum moment footing
load(N) = 1767.6 KN
Moment = 308KN.m
PMAX = + = +
=282.7 + 118.4
= 401.1
PMIN= - = -
=282.7 -118.4
= 164.3
Assume the area is =2.5x2.5 = 6.25m2
Central load = 1.047 /2.5 x 241.8 = 101.26
401.1 – 101.26 = 299.9 kNm
Moment maximum
= (300x 2.5 x 1.047 x0.5235)+* 7 +
= 411.07 + 79.38
=490.45
Design Of
Footing System
Designed By: Sheet63/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
d = 600 – 45 – 25 – 25/2 = 517.5mm
K = = = 0.018 < 0.156
Z = d(0.5 + √ = 0.98d > 0.95d
Use 0.95d
Z = 0.95 x 517.5 = 491 mm
ASreq = = = 2283.6 mm2
Check Asmin= 0.13%bh = =234
T25 – 200c/c (AS prov=2450 mm2)
Maximum shear checking
Average: 164.3 + = 282.7
Vmax = = = 0.341< 0.8 = 5.05
Normal Shear / Vertical shear
= = = 0.189N/ mm
= = 0.77
VC = x ( ) x x ( )
= x x 77 x
= 0.632 x 0.961 x 0.94x 1.69
= 0.964
Design Of
Footing System
Designed By: Sheet64/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
N = 282.7 X 2.5 (1.047 - 0.518) = 373.87 KN
= = 0.288 < VC = 0.9……..ok
Punching Shear
Critical perimeter = ( column perimeter + 8 x 1.5d)
= 2461.6 + 8 x 1.5 x 518
= 2461.6 + 621.6
= 3083.2 mm
Area within perimeter = [ ]
= [ ]
= 3.81 x mm2
Punching shear force = 282.2 (2.52
– 3.81)
= 688.56KN
Punching shear stress = =
= 0.43
0.43< 0.964
Check Crack = 3d @ 750mm
= 3 x 518 = 1554 mm > 750mm
Actual distance between =
– –
=
– –
= 277.5mm > 750 mm
H > 200mm
Check = = = 0.189< 0.3…………………….OK
Design Of
Footing System
Designed By: Sheet65/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
Detailing
Design Of
Stair Case
Designed By: Sheet66/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
Stair case DESIGN Remark
Design platform members for stair case show in figure:
Using A36steel F =22 k
Stringer are to plate
Headers are to be Channel section
DL = 97.1spf
LL = 105.3 spf
Solution
1. Face stringers (see Note below)
W = = = 6.8 k
From table 5.28 on Page 5.1
Select (3/16” x 10” plate* w = 6.8k)
R = w/2 = 6.8/2 = 3.4k
Selection is…………………………………………………. ok
Figth header
W = ksf x ksf x = 0.378k/ft
P -= 2 x 3.4 = 6.88k
M = + pl/4 = + 6.8 x 11.4/4 = 25.52kip.ft
Sreq = = = 13.9 = 14 find S
From the table 5.32; on page 5-14
C10x 20; S = 15.8; I = 78.8
Limit defilection
I > 0.00228(1.6P +wl) = 0.00228(1.6 x 6.8 + 0.378 x 11.4) (11.4)2
6 x 104
16in < 36.6………………. OK
R w + p/2 = 0.378 x 11.4/2 + 6.3 5.5K
Design Of
Footing System
Designed By: Sheet67/74
Date:
18/1/2018
Abdirahman Farah Ainab
Yasin Said Mohamed
Mohamed Ahmed Mohamed
Mohamed Abdinour Mohamud
Checked By: Eng. Sabaax
Reference
FOUNDATION DESIGN Remark
Platform header
W = 0.378 x 11.4 5 /2 = 11.7
M = wl/8 = 0.378x 11.4/8 = 16.6kips
S = = = 9in
5” from table 5.32 on page 5-14
Section
C9 x 13.4; S = 10.6; I = 47.9
Check deflection
= 0.0007633 = 0.000763 x11.7 = 0.27 in
Allowble = p x 12 / 360 = 0.38 in…………………………………… ok
R = w/2 = 11.7/2 = 5.8k
Support point A
Laod R platform = 5.8k
Select support member from table 5.28 and 5.31 on page 5-12 & 5- 13
Support B
Load R of flight header + R of wall stringer = 11.7+5.8
Steel book

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Steel book

  • 1. Eelo University Steel structure design At Senior Engineering
  • 2. EELO UNIVERCITY Department of Civil engineering Steel Structure Design Project Report 2017-2018 GROUP TWO Group Names ID:No 1. Yasin Said Mohamed 1469 2.Mohamed Ahmed Mohamed 1471 3. Abdirahman Farah Ainab 1467 4.Mohamed Abdi nour Mohamud 488
  • 3. Table of contacts 1. Roofing system……….………………………………………..1  Iron sheet  Purlines  Truss analysis 2. Slab………………………………………………………………….9 3. Beams…………………………………………………...............19  Beam under the truss  Beam under the slab 4. Columns………………………………………………………….37  Colum A  Column B  Column C 5. Connections…………………………………………………….52 6. Footing Design…………………………………………………56  Footing A  Footing B  Footing C 7. Stair Case…………………………………………………………66
  • 4. Introduction The aim of this book is to provide students and practicing engineers with a guide of structural steel design to meet the requirement of BS 5950:Part 1: 2000 Structural Use of Steelwork in Building. The emphasis has been to illustrate the clauses in the code rather than to match practical cases exactly. The first part of the book gives basic design concepts of structural elements comprising beam, column, connection, roof truss, and plate girder. In the second part, it presents worked examples of design of structural steel elements which are of commonly used in building frame structures. The examples have different design problem, which require different approach of loading analysis and design formula. Steel structure is a metal structure which is made of structural steel* components connect with each other to carry loads and provide full rigidity. Because of the high strength grade of steel, this structure is reliable and requires less raw materials than other types of structure like concrete structure and timber structure. In modern construction, steel structure is used for almost every type of structure including heavy industrial buildings, multi-story buildings, equipment support systems, infrastructure, bridges, towers, airport terminals *Structural steel is steel construction material which fabricated with a specific shape and chemical composition to suit a project’s applicable specifications. Depending on each project’s applicable specifications, the steel sections might have various shapes, sizes and gauges made by hot or cold rolling, others are made by welding together flat or bent plates. Common shapes include the I-beam, HSS, Channels, Angles and Plate. 4 reasons why steel structure is the best choice? 1. Cost savings Steel structure is the cost leader for most projects in materials and design. It is inexpensive to manufacture and erection, requires less maintenance than other traditional building methods. 2. Creativity Steel has a natural beauty that most architects can’t wait to take advantage of. Steel allows for long column-free spans and you can have a lot of natural light if you want it in any shape of structure.
  • 5. 3. Control and Management Steel structures is fabricated at factory and rapidly erected at construction site by skilled personnel that make safe construction process. Industry surveys consistently demonstrate that steel structure is the optimal solution in management. 4. Durability It can withstand extreme forces or harsh weather conditions, such as strong winds, earthquakes, hurricanes and heavy snow. They are also unreceptive to rust and, unlike wood frames, they are not affected by termites, bugs, mildew, mold and fungi. What are pre-engineered buildings? Pre-engineered buildings are built over three members connected to each other:  Primary members (columns, rafters, bracing…)  Secondary members (Z or C purlins, girts and eave struts)  Roof and wall sheeting connected to each other  Other building components
  • 6. Design Of Roofing System Designed By: Sheet1/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Purlines Design Remark RHS:Table Given Data Spacing of truss = 6m Nod to nod spacing =3m Roof sheet and purline = 0.3KN/m2 ( on slope) Self-weight of truss = 0.2KN/m2 ( on plan) Imposed load = 1kn/m2 (on plan) Design of purline king post = tan16*9 = 2.58m un factored load on purlin = = 0.312 KN/m2 un factored imposed load = 1 KN/m2 on plan Total un factored load = (0.31+1)*6m*3m = 23.61 KN/m2 On each Node Slope of Roof = 16o < 30o For Rectangular Hallow Section (RHS) Zlimit = = = 78.7cm3…………..Elastic Dlimit = = = 85.7mm Blimit = = = 40cm3 Try 120*80*8 (Zx=87.5) form code 3188975
  • 7. Design Of Roofing System Designed By: Sheet2/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of truss members Remark Design load = 1.4 (0.312+0.2) +1.6(1) =0.761+1.6 = 2.31 KN/m2 Total point load on Each node =2.31*6*3 = 41.65 KN Truss Analysis Determinate Or In-Determinate  Determinate trusses M+R=2J m =21 r =3 j =12 21+3=2*12 24=24 Stability Checking  Truss internally unstable (M < 2J-3)  Truss Internally Stable (M 2J -3) 2*12-3 =21 Section truss
  • 8. Design Of Roofing System Designed By: Sheet3/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of truss members Remark Fy ∑ y ∑ x ∑ ∑ x ∑ y ∑ x ∑ Af = = 62.47 KN Ay -20.82 -41.65 -41.56 20.82 + 62.47 = 0 Ay = 62.47KN Joint A ∑ y 62.47 -20.82 + Sin160 (FAC) =0 FAC = = 151.1KN (c) FAB- Cos160 (151.1) = 0 FAB = 145.2KN (C) Joint B FBC = 0 -145.1 + FBD = 0 FBD = 145.2KN (T) Joint C -41.65 +sin160 (FCE) - Sin160 (FCD) +Sin160 (151.1) = 0 -41.65 + 41.65 + 0.2756 FCD = 0 - 7 FCD………………………………………… ………………Equation Cos160 (151.1) + Cos160 (FCE) + Cos160 (FCD) = 0 145.2 + 0.961FCE FCD …………………………..Equation (2)
  • 9. Design Of Roofing System Designed By: Sheet4/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of truss members Remark ∑ y ∑ y ∑ y Joint C …..cont” 0.2765FCE – 0.2756 FCD = 0 0.961FCE +0.961FCD = - 145.2 FCE = – 75.5KN (C) FCD = – 75.5KN (C) Joint D ∑ x -145.5 + Cos160 (75.5) +FDF = 0 -145.2 + 72.57 + FDF = 0 FDF = 72.63KN (T) FDE – Sin160 (75.5) = 0 FDE = 20.8KN (T) Joint E -20.8 - 41.65 - Sin160 (FEF) + Sin160 (75.5) + Sin160 (FEG) = 0 - 20.8 – 41.65 - 0.256FEF + 20.8 + 0.256FEG = 0 -41.65 – 0.256FEF + 0.256FEG = 0 0.256FEF -0.256FEG = 41.65 ……………………… Equation 75.5 Cos160 + FEG Cos160 + Cos160 (FEF) = 0 0.961FEG + 0.96FEF = - 7 7……………………………Equation )
  • 10. Design Of Roofing System Designed By: Sheet5/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of truss members Remark ∑ y ∑ Joint E… …Cont 0.256FEF -0.256FEG = 41.65 0.961FEG + 0.96FEF = - 72.57 FEG = 37.8 (T) FEF = 113.3 (C) Joint G -41.65-FGE-sin16FGI-sin16(37.8)=0 -41.65-FGE-0.275FGI-10.41=0 -FGE-0.275FGI= ……………… Equation -FGE-10.38-52.06 =0 FGE=62.44(c) Cos16(37.8)+cos16FGI = 0 -36.3+0.96FGI=0 = FGI=37.76(T)
  • 11. Design Of Roofing System Designed By: Sheet6/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of truss members Remark ∑ y ∑ x Joint D 124.94 -62.44- Sin160 (113.3) + Sin160 (FDI) = 0 -31.27 + 0.275FDI = 0 FFI = = - 113.44 (C) FFH – 72.63 + Cos16(113.3) - Cos16(113.3) = 0 FFH 72.63 (T) MEMBER FORCE FAC -151.1KN FAB -145.2 KN FBD 145.2 KN FCE -75.5 KN FCD -75.5 KN FDF 72.63 KN FDE 20.8 KN FEG 37.8 KN FEF -113.3 KN FGE -62.44 KN FGI 37.76 KN FFI -113.44 KN FFH 72.63 KN
  • 12. Design Of Roofing System Designed By: Sheet7/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of truss members Remark Code page 29 Design of top members (tension members) Tension Force Fv = 145.2KN Design strength Py = 275KN/m2 Area of section required = 145.2 x = 5.28cm2 Try square hallow section = 50 x50 x4 SHS ( Ag = 7.19cm2 ) Members are welded at the connection, therefore no deduction for bolt holes at the cross sectional area. Members are symmetrical section, there is no reduction in cross section, hence, Ae = Ag Tension capacity, Pt = Ae*Py = (7.19 x 100 x275/1000) = 197.7KN Ft < Pt = 145.2 KN < 197.7 KN……………………… ok Design of bottom members ( compression member) For the bottom chord, lateral and vertical restraints are provided at 4.5m Spacing respectively. From the analysis results, the compression force in member(JG) is greater than (GE), therefore check the capacity of member JG Only, which has higher axial load Design the member using rectangular hallow section in Grade S 275 Compression member, Fc = 151.1KN Try section = 90 x90 x8( Ag = 25.6 cm2 ) r = 3.32 d 90 -3(8) = 66mm d/t = 66/8 = 8.25 < 40…… Section Is Not Slender Cl : 3.4.3 Effective net area
  • 13. Design Of Roofing System Designed By: Sheet8/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of truss members Remark Le = 0.85 x 4500 = 3825mm = = = = 115.2 Pc = 123.5 N/mm2 Pc = Ag x Pc = 2560 x 123.5/1000 = 316.15KN……………..Ok Try square hallow section = 50 x50 x4 SHS ( Ag = 7.19cm2 ) Table 24(a)
  • 14. Design Of Slab System Designed By: Sheet9/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax R.C.C. Design of Slab
  • 15. Design Of Slab System Designed By: Sheet10/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark Fcu = 30N/mm2 Designing Fy = 460N/mm2 a) slab 1 Thickness of slab = 150mm b) slab 2 Screed thickness = 20mm Concrete cover for slab (c) = 25mm Live load =5 KN/m2 Concrete density (pc) = 25Kg/m3 Second Floor 2.1) Loading System (S1) (Two edge continuous slab) = = 1.4 < 2 Two way slab Self-weight of slab = c * h=0.15x25 = 3.75KN/m2 Finishing is Assume to = 1KN/m2 Total dead load on the slab (n) =3.75+1 = 4.75 KN/m2 Live load = 5KN/ m2 Ultimate Design load = 1.4(DL) + 1.6(LL) = 1.4(4.75) + 1.6(5) = 14.65 KN/ m2
  • 16. Design Of Slab System Designed By: Sheet11/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark At the mid span short side Assume = 12mm D = h – cover - /2 D = 281– 25 - = 250mm Msx1 = SX * nLx2 = 0.0522* 14.65* 6.362 = 30.16KN.m/m K = = = 0.016 < 0.156 Z = d(0.5+ √ = d(0.5+ √ = 0.97d > 0.95d Asmin = = = 325mm2 Area of steel req = = = 290 mm2 > Asmin Therefore provide T10 – 200 mm c/c (Apr = 395mm2/m) Single reinforcement use 0.95d
  • 17. Design Of Slab System Designed By: Sheet12/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark Mid span of longer side D = 250 – 25 -12 -12/2 = 207mm Msy1 = SX * nLx2 =0.034* 14.475*6.362 = 19.9 KN.m/m K = = = 0.015 < 0.156 Z = d(0.5+ √ = d(0.5+ √ = 0.97 > 0.95d Area of steel = = = 226.8 mm2 Provide T 10 – 275c/c (As = 287mm2) Continuous edge short side d = 207 – 30 – 12/2 = 171mm Msy1 = SX * nLx2 = 0.0752 * 14.475* 6.362 = 38.6KN.m/m K = = = 0.044 < 0.156 Z = d(0.5+ √ = d(0.5+ √ = 0.94d > 0.95d (use 0.95d) As = = = 550. mm2 > As min ProvideT12 – 125c/c (As pro = 632 mm2 ) OK Use 0.95d
  • 18. Design Of Slab System Designed By: Sheet13/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark Continuous edge of longer side d = 281 – 30 - = 250mm Msy1 = SX * nLx2 =0.045* 14.475*6.362 = 40.45KN.m/m K = = = 0.02 < 0.156 (Satisfactory) Z = d(0.5+ √ = d(0.5+ √ = 0.969d = 0.096d > 0.95d ( use 0.95d) As req = = = 99.3 mm2 Provide T10 – 300 ( As pro = 263 mm2 ) Distribution Reinforcement Apply as minimum = = = 260 mm2 Therefore provide T 10 – 287 c/c (As pro = 287 mm2 )
  • 19. Design Of Slab System Designed By: Sheet14/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark Shear checking Vsx1= VX * nLx= 0.526 X 14.65 X 6.36 = 49 KN V = = = 0.196 = = 0.22 < 3 = = 1.6 > 1 Vc = ( ) ( ) ( ) = 0.632 x 0.6 x 1.12 x 1.062 = 0.81 > V=0.196 Shear link is not required
  • 20. Design Of Slab System Designed By: Sheet15/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark Deflection Checking ( )actual = 25.44( )basic = 26 = = 0.61 FS = = = 250 Modification factor = 0.55 + = 0.55 + = 1.25 < 2 ( )actual 26 x 1.25 = 32.5 > 25.44 “satisfactory” Crack Checking Maximum clearance distance 3d @ 750mm 3 x 119 = 357mm 357 – 10 = 347
  • 21. Design Of Slab System Designed By: Sheet16/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark LOADING SYSTEM = = 1.43 < 2 Two way slab Self-weight of slab = c * h=0.15x25 =3.75KN/m2 Finishing is Assume to be = 1KN/m2 Total dead load on the slab (n) =3.75+1 = 4.75 KN/m2 Live load = 5KN/ m2 Ultimate Design load = 1.4(DL) + 1.6(LL) = 1.4(4.75) + 1.6(5) = 14.65 KN/ m2 Middle of short span Msx1 = SX * nLx2 = 0.0416x 14.65 x 6.362 = 24.65KN.m D = 281– 25- = 250mm K = = = 0.013 < 0.156 Z = d(0.5+ √ = d(0.5+ √ ) = 0.98d > 0.95d use 0.95d= As req = = = 237.5mm2 Asmin = = 365.3mm2 As <Asmin therefore use Asmin Provide T10- 200 c/c ( Aspro = 395 mm2 )
  • 22. Design Of Slab System Designed By: Sheet17/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark Middle of long span Msy1 = SX * nLx2 =0.028* 14.65*6.362 = 1 6.592 KN.m/m D = 281-25- = 250mm K = = = 0.0088< 0.156 Z = d(0.5+√ = d(0.5+ √ = 0.99d>0.95d use 0.95d As req = = As req = = 160mm2 Asmin = = 365.3mm2 As req< Asmin therefore use Asmin Provide T 12 – 200 c/c ( Aspro = 395 mm2 ) Long Continuous Side Msy1 = SX * nLx2 =0.037* 14.65*6.362 = 21.92 KN.m/m d = 281 – 25 - = 250 mm K = = = 0.0116 < 0.156 Z = d(0.5+ √ = d(0.5+ √ = 0.986d >0.95d use 0.95d As = = = 211.2mm2 Asmin = = 365.3mm2 < Asmin therefore Asmin Provide T 10 – 200 c/c ( Aspro = 395 mm2 )
  • 23. Design Of Slab System Designed By: Sheet18/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference R.C.C. Design of Slab Remark Check for Shear Vsx1 = VX * nLx2 = 0.456 X 14.65 X 6.36 = 42.4KN V = = = 0.168 = = 0.14 < 3 = = 1.6 > 1 ……………………2 Vc = ( ) ( ) ( ) = 0.63 x 0.526 x 1.12 x 1.062 = 0.4 > V =0.37 Shear link is not required Checking for deflection of short span = = 0.529 FS = = = 265.8 Modification factor = 0.55 + ( ) =0.55 + = 1.78< 2 ( )actual = 25.2 ( )basic= 26 ( )allow 26 x 1.78= 46.3>25.2 oky
  • 24. Design Of Beam System Designed By: Sheet19/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam Remark = = 2.25 <2 Two way slab Self-weight of slab = Ƥc h =0.281x25 . = 7.025KN/m2 Finishing is Assume to be = 1KN/m2 Self-weight of screed = 0.02x25 =0.5KN/m2 Total dead load on the slab (n) =8.525KN/m2 Dead load of beam from slab = WD = * + = [ ( ) ] = 18.07 x 1.255 = 22.67 x 2 side KN/m = 45.36 KN/m Self -weight of beam = 0.98KN/m Total dead load on the beam = 46.30KN/m (LL) on Beam from slab (n) WL = [ ( ) ] = [ ( ) ] = 13.4KN/m x 2 sides = 22.88 KN/m
  • 25. Design Of Beam System Designed By: Sheet20/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam Remark
  • 26. Design Of Beam System Designed By: Sheet21/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam Remark Ultimate load design = 1.4(DL) + 1.6(LL) = 1.4( 46.36) + 1.6(26.6) = 107.5KN.m M = = = 1112.75 KN.m Sx = = 4046.3cm3 Try UB = 914x419x388 ( Sx = 17700)
  • 27. Design Of Beam System Designed By: Sheet22/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam Remark Section geometrical property Plastic modulus sx =17700mm3 Elastic modulus Zx =15800mm3 Depth D = 921mm Width B = 420.5mm Web thickness t =21.4mm Flange T =36.5mm Depth between fillet d =799.6mm Roof radius r =24.1mm Flange slenderness b/T =5.74 Web slenderness d/t =37.4 Moment of inertia I =720000cm4 Buckling parameter u =0.885 Torsional index x =26.7 Check for design strength ( Py) and section classification for flange thickness of T = 18.2, Py = 275 N/mm2 ɛ = * + = * + = 1.037 Compacting limiting of volume of b/T = 9ɛ = 9.3 x 1.03 = 9.3 > 5.74 Compacting limiting of volume of d/t = 80ɛ = 80 x 1.03 = 81 > 37.4 Therefore the section is Plastic Table 9 Table 11 Node(b)
  • 28. Design Of Beam System Designed By: Sheet24/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam Remark check for shear capacity at the support (max.shear) FV = 490.3KN 1) Shear capacity pv=0.6 PYAv Pv= 0.6 PYDt =0.6 x 21.4 x 921 x 265 x 10-3 = 3133.8kN > 490.3--------------------------OK 2) Check section for moment capacity Moment max = 1112.75KN.m 0.6Pv = 0.6 x 3133.8 = 1880.3 KN.m Fv < Pv = 490.3 < 1880.3 KN.m…it is low shear ………… OK 3) Moment capacity with low shear load for plastic section Mcx = Py Sx 1.2PyZx = 265 x 17700 x 10-3 1.2 x 265 x 15800 x 10-3 = 4690.5 5024.4 Mcx = 4690.5 KN.m M < Mx 1112.75 < 4690.5 KN.m………… ……………….. OK Cl:4.2.3 Cl:4.2.5
  • 29. Design Of Beam System Designed By: Sheet25/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam Remark 4) Check for lateral torsional buckling capacity M M = 950kn Mlt = 0.85 Mb = SxPb = Pb = uv w 5) Checking bearing and buckling at support I. Bearing Fv < Pwb Local capacity of the web: Pbw = ( b1 +nk)tpw The section properties of angle : 160 x160 x 18 . t = 18 .r = 16 Stiff bearing length b1 = is obtained by taking a tan at 450 through the . bearing i.e along the tangent to root angle b1 = 2t + 0.8r – c b1 = 2(18) +0.8(16) – 8.76 = 40.04 k = T+r = 36.5 + 24.1 = 60.6 n = 2 Pwb = ( b1 +nk)tpyw = (40.04+2(60.6) x 21.4 x 265 x 10-3 = 914.39KN Forced applied through the flange 914.39 > 490.3 KN ………………………………….OK Therefore bearing stiffener is not required. Cl:3.1.3 Cl:4.5.2.1
  • 30. Design Of Beam System Designed By: Sheet25/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam Remark Bucking ae = 40.04/2 = 20.02 mm ( ae = 0.7d) Buckling resistance off the un-stiffened web. Px = x √ = x √ x 914.39 = 053x 1.8 = 14,086.5 Fv = 490.3 KN < 858 KN …… ……………………………. OK Check for deflection under servicebility loads [ ( ) ] = 10.6 x 1.255 = 13.3 x 2 = 26.6 KN E= 205KN/mm2 I= 720000cm4 =* + x104 =* + x104 = 0.16 mm Limiting lim=span/360 = 9100/360 = 25.27 > 0.16 …………Ok Cl: 4.5.3.1 Table 8
  • 31. Design Of Beam System Designed By: Sheet26/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam two Remark = = 2.25 <2 Two way slab Self-weight of slab = Ƥc x h = 0.281x25 . = 7.025KN/m2 Finishing is Assume to be = 1KN/m2 Self-weight of screed = 0.02x25 = 0.5KN/m2 Self-weight of brick wall 18Kgm/m3 x 0.15 x 4 = 10.8KN/m Total dead load on the slab (n) = 19.325KN/m Dead load of beam from slab = WD = * + = [ ( ) ] = 40.9 x 1.08 = 51.4 KN/m Self -weight of beam = 0.98KN/m Total dead load on the beam = 52.4 KN/m Live load on Beam from slab (n) WL = [ ( ) ] = [ ( ) ] = 13.3 KN/m Ultimate load design = 1.4(DL) + 1.6(LL) = 1.4( 52.4) + 1.6(13.3) = 94.64 KNm2
  • 32. Design Of Beam System Designed By: Sheet27/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam two Remark M = = = 979.6 KN.m Sx = = = 3562cm3 Try UB = 914x419x388 ( Sx = 17,700)
  • 33. Design Of Beam System Designed By: Sheet28/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam two Remark Section geometrical property Plastic modulus sx =17700mm3 Elastic modulus Zx =15800mm3 Depth D = 921mm Width B = 420.5mm Web thickness t = 21.4mm Flange T = 36.5mm Depth between fillet d = 799.6mm Roof radius r = 24.1mm Flange slenderness b/T = 5.74 Web slenderness d/t = 37.4 Moment of inertia I = 720000cm4 Buckling parameter u = 0.885 Torsional index x = 26.7 Check for design strength ( Py) and section classification for flange thickness of T = 18.2, Py = 275 N/mm2 ɛ = * + = * + = 1.037 Compacting limiting of volume of b/T = 9ɛ = 9.3 x 1.03 = 9.3 > 5.74 Compacting limiting of volume of d/t = 80ɛ = 80 x 1.03 = 81 > 37.4 Therefore the section is Plastic Table 9 Table 11 Node(b)
  • 34. Design Of Beam System Designed By: Sheet29/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam two Remark FV = 430.6 KN 1) Shear capacity pv=0.6 PYAv pv=0.6 PYDt =0.6 x 21.4 x 921 x 265 x 10-3 = 3133.8kN > 430.6--------------------------OK Check section for moment capacity Moment max = 979.6 KN.m 0.6Pv = 0.6 x 3133.8 = 1880.3 KN.m Fv < Pv = 430.6 < 1880.3 KN.m…it is low shear ………… OK Moment capacity with low shear load for plastic section Mcx = Py Sx 1.2PyZx = 265 x 17700 x 10-3 1.2 x 265 x 15800 x 10-3 = 4690.5 5024.4 Mcx = 4690.5 KN.m M < Mx 979.6 KN.m < 4690.5 KN.m………………………….. OK
  • 35. Design Of Beam System Designed By: Sheet30/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam two Remark 1) Check for deflection under servicebility loads [ ( ) ] = 10.6 x 1.255 = 13.3 x 2 = 26.6 KN E = 205KN/mm2 I = 720000cm4 =* + x104 =* + x104 = 0.16 mm Limiting lim=span/360 = 9100/360 = 25.27 > 0.16 …………Ok 2) Check for lateral torsional buckling capacity M M=950kN Mlt=0.85 Mb= SxPb = Pb = uv w U=0.885 Le= 1.0xL = 1.0x9100 = 9100 Ry= 95.9 𝛌y = 9100/95.9 = 94.8 X = 26.7 𝛌/x = 94.8/26.7 = 3.35 V= 0.89 𝛌 uv w = x x x = 79.5 Py =265 =79.5 Mb = 161x10-3 x17700 = 2849.7 Mb/mlt > M 2849.7/.85 = 3352.5KN > 979.6 KN.m
  • 36. Design Of Beam System Designed By: Sheet31/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam two Remark 1) Checking bearing and buckling at support II. Bearing Fv < Pwb Local capacity of the web: Pbw = ( b1 +nk)tpw The section properties of angle : 160 x160 x 18 . t = 18 .r = 16 Stiff bearing length b1 = is obtained by taking a tan at 450 through the . bearing i.e along the tangent to root angle b1 = 2t + 0.8r – c b1 = 2(18) +0.8(16) – 8.76 = 40.04 k = T+r = 36.5 + 24.1 = 60.6 n = 2 Pwb = ( b1 +nk)tpyw = (40.04+2(60.6) x 21.4 x 265 x 10-3 = 914.39KN Forced applied through the flange 914.39 > 490.3 KN ………………………………….OK Therefore bearing stiffener is not required. Bucking ae = = 20.02 mm ( ae = 0.7d) Buckling resistance off the un-stiffened web. Px = x √ = x √ x 914.39 = 053x 1.8 x 914.39 = 858 Fv = 430.6 KN < 858 KN ………………………………………. OK
  • 37. Design Of Beam System Designed By: Sheet32/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam three Remark = = 2.25 < 2 Two way slab Self-weight of slab = Ƥc x h = 0.281x25 . = 7.025KN/m2 Finishing is Assume to be = 1KN/m2 Self-weight of screed = 0.02x25 = 0.5 Total dead load = 8.8KN/m2 = 17.61 x 2 sides = 35.22 KN/m Self-weight of beam = 0.98 KN/m Total dead load = 36.22 Live load = x 2 sides = 20 sides KN/m Ultimate load = 1.4(DL) + 1.6(LL) = 1.4(36.2) + 1.6(20) = 86.68 KN/m
  • 38. Design Of Beam System Designed By: Sheet33/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam three Remark M = = = 371.8 KN.m Shear = = 247.8 KN Sx = = = 1352 cm3 Try UB = 610x 229 x 125(sx = 3880cm3) Section geometrical property Plastic modulus sx =3880mm3 Elastic modulus Zx =3220mm3 Depth D = 612.2 Width B = 229 Web thickness t = 11.9 Flange T = 19.6 Depth between fillet d = 547.6 Roof radius r = 12.7 Flange slenderness b/T = 5.84 Web slenderness d/t = 48 Moment of inertia I = 98800cm4 Buckling parameter u = 0.874 Torsional index x = 34.1 Check for design strength ( Py) and section classification for flange thickness of T = 19.6, Py = 275 N/mm ɛ = * + = * + = 1.0 Compacting limiting of volume of b/T = 9ɛ = 9x 1 = 9 > 5.84 Compacting limiting of volume of d/t = 80ɛ = 80 x 1 = 80 > 48 section is class one (plastic section)
  • 39. Design Of Beam System Designed By: Sheet34/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam three Remark 1) Shear capacity pv=0.6 PYAv FV = 247.8 KN pv=0.6 PYDt =0.6x 612.2 x 19.6 x 275 x 10-3 = 1979.8 kN > 247.8--------------------------OK 1) Moment capacity with low shear load for plastic section Mcx = Py Sx 1.2PyZx = 275 x 3880 x 10-3 1.2 x 275 x3220 x 10-3 = 1067 1062.6 KN.m Mcx = 1062.6 KN.m M < Mx 371.8 KN.m < 1062.6 KN.m………………………….. OK
  • 40. Design Of Beam System Designed By: Sheet35/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam three Remark 1) Check for deflection under servicebility loads = 10 x 2 sides = 20 KN E = 205KN/mm2 I = 98800cm4 =* + x104 =* + x104 = 7.7 mm Limiting lim=span/360 = 6000/360 = 16.6 > 7.7 …………Ok 2) Check for lateral torsional buckling capacity M M=371.8kN Mlt=0.85 Mb= SxPb Pb = uv w U = 0.874 Le = 1.0xL = 1.0x 6000 =6000 Ry = 49.7 𝛌y = 6000/49.7 = 120.7 X = 41.8 𝛌/x = 120.7/34.1 = 3.5 V= 0.89 uv w = x 7 x 7x = 93.8 Py =275 =145.4 Mb = SxPb =3880 x145.4 x 10-3 = 564 KN Mb/mlt = 564/.85 = 663.7 KN > 371.8 KN…………………………. OK Table 19
  • 41. Design Of Beam System Designed By: Sheet36/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel beam three Remark 2) Checking bearing and buckling at support III. Bearing Fv < Pwb Local capacity of the web: Pbw = ( b1 +nk)tpw The section properties of angle : 160 x160 x 18 . t = 18 .r = 16 Stiff bearing length b1 = is obtained by taking a tan at 450 through the . bearing i.e along the tangent to root angle b1 = 2t + 0.8r – c b1 = 2(18) +0.8(16) – 8.76 = 40.04 k = T+r = 36.5 + 24.1 = 60.6 n = 2 Pwb = ( b1 +nk)tpyw = (40.04+2(60.6) x 21.4 x 275 x 10-3 = 948.89KN Forced applied through the flange 948.8 > 247.8KN ………………………………….OK Therefore bearing stiffener is not required. IV. Bucking ae = b1/2 = 40.04/2 = 20.02 mm ( ae = 0.7d) Buckling resistance off the un-stiffened web. Px = x √ = x √ x 948.8 = 0.53x 2.1 39 x 948.8 =1075.7 Fv = 247.6 KN < 1075.7KN ……………………………………. OK
  • 42. Design Of Beam System Designed By: Sheet37/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel Column Remark
  • 43. Design Of Column System Designed By: Sheet38/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Dead load (kn) Imposed load Total Un- factored Factored x 1.4 Un-factored Factored x 1.6 Level3(roof) R1-3 R2-3 62.4 0.98 87.5 1.37 ………. ………. ---------- ---------- R2-1 R2-2 Self-weight of column 64.8 64.8 .98 90.7 90.7 1.37 67.4 67.4 108 108 R1-3 R2-3 Self-weight of column 64.8 64.8 90.7 90.7 0.98 67.4 67.4 108 108 Total 453.6 432 885.63 1) To determine nominal moment Geometrical properties of section 356 x 406 x 467 D = 436.6 r = 15.2 ry = 107 B = 412.4 d = 290.1 rx = 107 T = 35.9 = 3.56 Ag = 595.5 T = 58 = 8.08 u = 0.839 I = 183118 x = 6.86 Zy = 3293 Zx = 8388 Sx = 10009 Sy = 5038 Total design axial load : Fc = 885 Design strength Py Thickness of the thickest element of the steel. Section T = 58 > 16 Py = 255
  • 44. Design Of Column System Designed By: Sheet39/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Normal moment Mx ex = 100 + = 100 + = 138.3 Mx = 318.3 x 198.7 x 10-3 = 63.24 KN.m Normal moment My ey = 100 + = 100 + = 117.95 mm My = 198.7 x 117.9 x 10-3 = 23.43 KN.m The ratio of large to lower column stiffness = = X = 1.5 Since the ratio of column stiffness is equal 1.5, then the nominal moment can be divided equally. Mx = 63.24/2 = 31.62 KN.m My = 23.34/2 = 11.72KN.m To determine the capacity of column design strength Py Thickness of the thickest element of the steel section T = 58 < 63, Py = 255 Section classification ɛ = * + = * + = 1.04 flange classification = 3.56 b/T = 9ɛ = 9.3 x 1.04 = 9.3>3.56 Flange is class 1 Web classification = 8.08 Check weather web is class 1
  • 45. Design Of Column System Designed By: Sheet40/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Fc = is positive because axial is compression R1 = = = 0.22 < -1 r1 1 ……………….OK class is plastic section Compression capacity for class 1 section Pc = Ag*Pe To determine Pc Effective length = Le = 1 x 6000 = 6000mm Slender ratio x = = = 34. y = = = 56 Rolled H section greater than 40mm For buckling about x-x axis use struc curve c For buckling y-y axis use struc curve d x = 34.3 Py { } = 231.4 KN/mm2 y = 56 Py { } = 179 KN/mm2 Therefore Pcy = 179 KN/mm2 Compression Capacity Pc = Ag*Pc = 595.5 x 102 x 179 x 10-3 = 10659.45 KN Buckling resistance moment for column in simple construction lt = 0.5(l/ry) = 0.5(6000/107) = 28 Py = 255 Pb = 255 Mbs = Pb* Sx = 255 x 10,009 x 10-3 = 2552.3 KN.m
  • 46. Design Of Column System Designed By: Sheet41/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Moment capacity about minor axis Py Zy = ( 255N/mm2 ) ( 8388 x 10-3 ) = 2138.9 KN/m Solving the intersection equation + + = 1 = + + = 1 = 0.08302 + 0.012389 + 0.00548 1 = 0.1 1 Try UC = 356 x 406 x 467
  • 47. Design Of Column System Designed By: Sheet42/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Dead load (KN) Imposed load Total Un- factored Factored x 1.4 Un-factored Factored x 1.6 Level3(roof) R1-3 R2-3 R3-3 124.8 0.98 …….. 174.72 1.37 ……… ………. ………. ………. ---------- ---------- ………… R1-2 R2-2 R3-2 Self-weight of column 64.8 64.8 129.6 0.98 90.7 90.7 181.4 1.37 67.4 67.4 134.8 108 108 215.68 R1-1 R2-1 R3-1 Self-weight of column 64.8 64.8 129.6 0.98 90.7 90.7 181.4 1.37 67.4 67.4 134.8 108 108 215.68 Total 904.43 863.36 1767.8 1) To determine nominal moment Geometrical properties of section 356 x 406 x 467 D = 436.6 r = 15.2 ry = 107 B = 412.4 d = 290.1 rx = 107 t = 35.6 = 3.56 Ag = 595.5 T = 58 = 8.08 u = 0.839 I = 183118 x = 6.86 Zy = 3293 Zx = 8388 Sx = 10009 Sy = 5038 Total design axial load : Fc = 1767.8 Design strength Py Thickness of the thickest element of the steel. Section T = 58 > 16 Py = 255
  • 48. Design Of Column System Designed By: Sheet43/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Normal moment Mx ex = 100 + = 100 + = 138.3 Mx = Pc x xe = 318.3 x 968.92 x 10-3 = 308.4 KN.m The ratio of large to lower column stiffness = = X = 0.66 < 1 Since the ratio of column stiffness is equal 1.5, then the nominal moment can be divided equally. Mx = 63.24/2 = 31.62 KN.m To determine the capacity of column design strength Py Thickness of the thickest element of the steel section T = 58 < 63, Py = 255 Section classification ɛ = * + = * + = 1.04 flange classification = 3.56 b/T = 9ɛ = 9.3 x 1.04 = 9.3 > 3.56 Flange is class 1 Web classification = 8.08 Check weather web is class 1
  • 49. Design Of Column System Designed By: Sheet44/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Fc = is positive because axial is compression R1 = = = 0.22 < -1 r1 1 ……………….OK class is plastic section Compression capacity for class 1 section Pc = Ag. Pe To determine Pc Effective length = Le = 1 x 6000 = 6000mm Slender ratio x = = = 34. y = = = 56 Rolled H section greater than 40mm For buckling about x-x axis use struc curve c For buckling y-y axis use struc curve d x = 34.3 Py { } = 231.4 KN/mm2 y = 56 Py { } = 179 KN/mm2 Therefore Pcy = 179 KN/mm2 Compression Capacity Pc = Ag*Pc = 595.5 x 102 x 179 x 10-3 = 10659.45 KN Buckling resistance moment for column in simple construction lt = 0.5(l/ry) = 0.5(6000/107) = 28 Py = 255 Pb = 255 Mbs = Pb* Sx = 255 x 10,009 x 10-3 = 2552.3 KN.m
  • 50. Design Of Column System Designed By: Sheet45/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Moment capacity about minor axis Py Zy = ( 255N/mm2) ( 8388 x 10-3) = 2138.9 KN/m Solving the intersection equation + 1 = + = 1 = 0.16 + 0.12 = 0.28 1 = 0.28 1 Try UC = 356 x 406 x 467
  • 51. Design Of Column System Designed By: Sheet46/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Dead load (KN) Imposed load Total Un- factored Factored x 1.4 Un-factored Factored x 1.6 Level3(roof) R1-3 R2-3 R3-3 R4-3 124.8 0.98 …….. …….. 174.72 1.37 ……… ……… ………. ………. ………. ---------- ---------- ………… R1-2 R2-2 R3-2 R4-2 Self-weight of column 64.8 64.8 64.8 64.8 0.98 90.7 90.7 90.7 90.7 1.37 67.4 67.4 67.4 67.4 108 108 108 108 R1-1 R2-1 R3-1 R4-1 Self-weight of column 64.8 64.8 64.8 64.8 0.98 90.7 90.7 90.7 90.7 1.37 67.4 67.4 67.4 67.4 108 108 108 108 Total 904.43 863.36 1767.8 1) To determine nominal moment Geometrical properties of section 356 x 406 x 467 D = 436.6 r = 15.2 ry = 107 B = 412.4 d = 290.1 rx = 107 t = 35.6 = 3.56 Ag = 595.5 T = 58 = 8.08 u = 0.839 I = 183118 x = 6.86 Zy = 3293 Zx = 8388 Sx = 10009 Sy = 5038 Total design axial load : Fc = 1591.7 Design strength Py Thickness of the thickest element of the steel. Section T = 58 > 16 Py = 255
  • 52. Design Of Column System Designed By: Sheet47/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Normal moment Mx ex = 100 + = 100 + = 138.3 Mx = Pc x xe = 318.3 x 968.92 x 10-3 = 308.4 KN.m The ratio of large to lower column stiffness = = X = 0.66 < 1 Since the ratio of column stiffness is equal 1.5, then the nominal moment can be divided equally. Mx = 63.24/2 = 31.62 KN.m To determine the capacity of column design strength Py Thickness of the thickest element of the steel section T = 58 < 63, Py = 255 Section classification ɛ = * + = * + = 1.04 flange classification = 3.56 b/T = 9ɛ = 9.3 x 1.04 = 9.3 > 3.56 Flange is class 1 Web classification = 8.08 Check weather web is class 1
  • 53. Design Of Column System Designed By: Sheet48/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Fc = is positive because axial is compression R1 = = = 0.22 < -1 r1 1 ……………….OK class is plastic section Compression capacity for class 1 section Pc = Ag. Pe To determine Pc Effective length = Le = 1 x 6000 = 6000mm Slender ratio x = = = 34. y = = = 56 Rolled H section greater than 40mm For buckling about x-x axis use struc curve c For buckling y-y axis use struc curve d x = 34.3 Py { } = 231.4 KN/mm2 y = 56 Py { } = 179 KN/mm2 Therefore Pcy = 179 KN/mm2 Compression Capacity Pc = Ag*Pc = 595.5 x 102 x 179 x 10-3 = 10659.45 KN Buckling resistance moment for column in simple construction lt = 0.5(l/ry) = 0.5(6000/107) = 28 Py = 255 Pb = 255 Mbs = Pb* Sx = 255 x 10,009 x 10-3 = 2552.3 KN.m
  • 54. Design Of Column System Designed By: Sheet49/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel column Remark Moment capacity about minor axis Py Zy = ( 255N/mm2 ) ( 8388 x 10-3 ) = 2138.9 KN/m Solving the intersection equation + 1 = + = 1 = 0.16 + 0.12 = 0.28 1 = 0.28 1 Try UC = 356 x 406 x 467
  • 55. Design Of Column System Designed By: Sheet50/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel Base plate for column Remark 7 Axial load of column = 1767.8 KN for column = 7 Bearing strength of concrete = 0.6Fcu ………………………………………………….. Take Fcu = Area required ( ) = = = { } = √ = = 15.33 Find the thickness of the base plate tp = * + ……………………………………………………………………………………… where Pyp = design strength of the of the base plate 7 tp = 15.33 * + = 7.84mm 7 ……………………………………………………………….. OK Cl: 4.13.1 4.13.2.2
  • 56. Design Of Column System Designed By: Sheet51/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel footing Remark
  • 57. Design Of Connection System Designed By: Sheet52/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel connection Remark 1) Assume the bottom row of bolts does not carry shear force. Fs = = 7 7 Ft ∑ Assume center of rotation is about the bottom bolts: Ymax = 400mm ∑ y Ft For simple of method + Shear capacity of connection; Shear capacity of bolt: Ps = As = At 7 (Assume failure at thread of bolt) Ps = 400N/mm2 Shear force, Ps = 7 7 7 7 … … Shear capacity of bolt Pbb = d.t.pbb FS 7 7 … … (t is taken as the smaller of thickness offend plate and flange. The thickness of column flange for = 356 x 406 x 467 UC is 58mm) Table 30 Table 31
  • 58. Design Of Connection System Designed By: Sheet53/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel Connection Remark Bearing capacity of plate; Pbs = Pbs 0.5.e.t. Pbs = = = Pbs = 7 … … … … … … … … … … … … … … Pnon = 7 7 7 Check interaction formula + = + 7 ……………Ok Therefore the connection is Safe Check block shear capacity: Pr = 0.6Py.t{ } Lv = Pr = 0.6 x 275 x 58{ } Pr … … … … … … … … … … … Table 32 Table 34 Cl: 6.2.4
  • 59. Design Of Connection System Designed By: Sheet54/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel Connection Remark Solution 2) To determine the size of weld which is safe and economic for the beam and plate connection; Fs Ft * + = Ft Resultant force, FR = FR = 0.3 N/mm Use weid size 5mm, electrode class E35, Py =220N/mm2 Pw = 0.7.s.Pw 7 77 0.3KN
  • 60. Design Of Connection System Designed By: Sheet54/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel Connection Remark Connection beam to beam 1) Assume the bottom row of bolts does not carry shear force. Fs = = Ft ∑ Assume center of rotation is about the bottom bolts: Ymax = 300mm ∑ y Ft For simple of method + Shear capacity of connection; Shear capacity of bolt: Ps = As = At (Assume failure at thread of bolt) Ps = 400N/mm2 Shear force, Ps = … … Shear capacity of bolt Pbb = d.t.pbb FS … … (t is taken as the smaller of thickness offend plate and flange. The thickness of column flange for = 914 x 419x 388 UB is 21.4mm Table 30 Table 31 Table 32
  • 61. Design Of Connection System Designed By: Sheet55/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel Connection Remark Bearing capacity of plate; Pbs = Pbs 0.5.e.t. Pbs = = = Pbs = … … … … … … … … … … … … … … Pnon = 7 Check interaction formula + = + ……………Ok Therefore the connection is Safe Check block shear capacity: Pr = 0.6Py.t{ } Lv = Pr = 0.6 x 275 x 21.4{ } Pr … … … … … … … … … … … Cl:6.2.4
  • 62. Design Of Footing System Designed By: Sheet56/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Design of Steel Connection Remark Solution 3) To determine the size of weld which is safe and economic for the beam and plate connection; Fs Ft * + = Ft Resultant force, FR = FR = 0.3N/mm Use weid size 5mm, electrode class E35, Py =220N/mm2 Pw = 0.7.s.Pw 7 77 Table 37
  • 63. Design Of Footing System Designed By: Sheet57/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark ZERO MOMENT Given Data Total axial load = 1767 KN.m Fcu = 40 KN/mm2 Fy = 460 KN/mm2 Solution  Total live load and dead load. Third floor loading  Dead load (DL) = 904.43KN/m  Live load (LL) = 863.36KN/m Assume that = 25 > 20 Cover = 45 mm a) Determine foundation thickness, h. Deform types = La = 27 La = 27 x 26 = 675 mm Assume that bar is bend = 200 mm L = 675 – 200 = 475 mm H = 475 + 45 + 2 x 25 = 570 mm = 600 mm
  • 64. Design Of Footing System Designed By: Sheet58/74 Date: 18/1/2018017 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark b) Service limit state 1.0 GK + 1.0 QK = 1.0 X 904.43X 1.0 X 631.4 =1767KN + self weight of the footing = 1767 + 10% ( 1767) = 1944.7 KN D = 600- 45 – 25 - 25/2 = 517.5 518 mm Assume Bearing capacity = 200KN/m2 Required base Area = = = 9.72 m2 Provide a base area of square = 9.7 m2 Footing self-weight = height footing x base Area xUnit-weight of concrete = 0.6 x 9.7 x 25 = 145.5 KN Column design axial load = 1(DL) + 1(LL) = 1767KN Earth pressure = = = 182.16KN/m2
  • 65. Design Of Footing System Designed By: Sheet59/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark Try UC = 356 x 406 x 467 Moment = 182.1KN/m2 x 2.51 x x 3.1 =1778.2 KN d = 600 – 45 – 25 – 25/2 = 517.5mm = 518mm K = = = 0.053 < 0.156 Z = d(0.5 + √ ) = 0.937d ok Ar req = = 5554.79 mm2 Check Armin= 0.13%bh = =2418 mm2 T25-200c/c (AS pro = 2450mm2 )
  • 66. Design Of Footing System Designed By: Sheet60/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark Shear Check Checking maximum shear Vmax= = = 0.275 < 0.8 = 5.05 Normal Shear / Vertical shear = = = 0.15N/ mm VC= x ( ) x x ( ) = 0.632 x 0.531 x 1 x 1.17 = 0.4 Punching Shear Critical perimeter = ( column perimeter + 8 x 1.5d) = + 8 x 1.5 x 518 = 2461.6 + 6216 = 8677.6 mmVc Area within perimeter =[ ] = [ ] = 3.81 x mm2 Punching shear force = 182( 3.12 – 3.81) = 1055.6KN Punching shear stress = = = 0.234 0.234 < 0.4 Check Crack = 3d @ 750mm = 3 x 518 = 1554 mm > 750mm Actual distance between = – – = – – = 353.75mm < 750 mm H > 200mm
  • 67. Design Of Footing System Designed By: Sheet61/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Referenc e FOUNDATION DESIGN Remar k Check = = = 0.15 < 0.3 …………………………ok Detailing
  • 68. Design Of Footing System Designed By: Sheet62/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark Maximum moment footing load(N) = 1767.6 KN Moment = 308KN.m PMAX = + = + =282.7 + 118.4 = 401.1 PMIN= - = - =282.7 -118.4 = 164.3 Assume the area is =2.5x2.5 = 6.25m2 Central load = 1.047 /2.5 x 241.8 = 101.26 401.1 – 101.26 = 299.9 kNm Moment maximum = (300x 2.5 x 1.047 x0.5235)+* 7 + = 411.07 + 79.38 =490.45
  • 69. Design Of Footing System Designed By: Sheet63/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark d = 600 – 45 – 25 – 25/2 = 517.5mm K = = = 0.018 < 0.156 Z = d(0.5 + √ = 0.98d > 0.95d Use 0.95d Z = 0.95 x 517.5 = 491 mm ASreq = = = 2283.6 mm2 Check Asmin= 0.13%bh = =234 T25 – 200c/c (AS prov=2450 mm2) Maximum shear checking Average: 164.3 + = 282.7 Vmax = = = 0.341< 0.8 = 5.05 Normal Shear / Vertical shear = = = 0.189N/ mm = = 0.77 VC = x ( ) x x ( ) = x x 77 x = 0.632 x 0.961 x 0.94x 1.69 = 0.964
  • 70. Design Of Footing System Designed By: Sheet64/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark N = 282.7 X 2.5 (1.047 - 0.518) = 373.87 KN = = 0.288 < VC = 0.9……..ok Punching Shear Critical perimeter = ( column perimeter + 8 x 1.5d) = 2461.6 + 8 x 1.5 x 518 = 2461.6 + 621.6 = 3083.2 mm Area within perimeter = [ ] = [ ] = 3.81 x mm2 Punching shear force = 282.2 (2.52 – 3.81) = 688.56KN Punching shear stress = = = 0.43 0.43< 0.964 Check Crack = 3d @ 750mm = 3 x 518 = 1554 mm > 750mm Actual distance between = – – = – – = 277.5mm > 750 mm H > 200mm Check = = = 0.189< 0.3…………………….OK
  • 71. Design Of Footing System Designed By: Sheet65/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark Detailing
  • 72. Design Of Stair Case Designed By: Sheet66/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference Stair case DESIGN Remark Design platform members for stair case show in figure: Using A36steel F =22 k Stringer are to plate Headers are to be Channel section DL = 97.1spf LL = 105.3 spf Solution 1. Face stringers (see Note below) W = = = 6.8 k From table 5.28 on Page 5.1 Select (3/16” x 10” plate* w = 6.8k) R = w/2 = 6.8/2 = 3.4k Selection is…………………………………………………. ok Figth header W = ksf x ksf x = 0.378k/ft P -= 2 x 3.4 = 6.88k M = + pl/4 = + 6.8 x 11.4/4 = 25.52kip.ft Sreq = = = 13.9 = 14 find S From the table 5.32; on page 5-14 C10x 20; S = 15.8; I = 78.8 Limit defilection I > 0.00228(1.6P +wl) = 0.00228(1.6 x 6.8 + 0.378 x 11.4) (11.4)2 6 x 104 16in < 36.6………………. OK R w + p/2 = 0.378 x 11.4/2 + 6.3 5.5K
  • 73. Design Of Footing System Designed By: Sheet67/74 Date: 18/1/2018 Abdirahman Farah Ainab Yasin Said Mohamed Mohamed Ahmed Mohamed Mohamed Abdinour Mohamud Checked By: Eng. Sabaax Reference FOUNDATION DESIGN Remark Platform header W = 0.378 x 11.4 5 /2 = 11.7 M = wl/8 = 0.378x 11.4/8 = 16.6kips S = = = 9in 5” from table 5.32 on page 5-14 Section C9 x 13.4; S = 10.6; I = 47.9 Check deflection = 0.0007633 = 0.000763 x11.7 = 0.27 in Allowble = p x 12 / 360 = 0.38 in…………………………………… ok R = w/2 = 11.7/2 = 5.8k Support point A Laod R platform = 5.8k Select support member from table 5.28 and 5.31 on page 5-12 & 5- 13 Support B Load R of flight header + R of wall stringer = 11.7+5.8