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8.2 Joyce Wee
Beam A-B/4 (Ground Floor | Secondary Beam)
Dead Load:
○1 Slab (A-B/ 3-4) = 3.6kN/m2
x (1.91m/2)
= 3.44kN/m
○2 Slab (A-B/ 4-6) = 3.6kN/m2 x (3.1m/2) 2/3
= 3.72kN/m
○3 Brick wall weight = 3m x 0.1m x 19kN/m3
=5.7kN/m
○4 Beam self-weight = 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
Total Dead Load:
Total Dead Load = 3.44 + 3.72 + 5.7 + 0.48
= 13.34kN/m
Live Load:
○1 Slab (A-B/ 3-4) = Bathroom x (1.91m/2)
= 2.0kN/m2 x (1.91m/2)
= 1.91kN/m
○2 Slab (A-B/ 4-6) = Bedroom x (3.1m/2)
= 1.5kN/m2
x (3.1m/2)
= 2.33kN/m
Total Live Load:
Total Live Load = 1.91kN/m + 2.33kN/m
=4.24kN/m
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 2
Ultimate Load:
Ultimate Load = TDL(1.4) + TLL(1.6)
= 13.34(1.4) + 4.24(1.6)
= 25.46kN/m
Load Diagram for Beam (A-B/4)
Reaction Force:
∑m = 0
(RA x 3.1) – (25.46 x 3.1)(1.55) = 0
RA(3.1) – 122.34 = 0
RA = 122.34/3.1
RA = 39.46kN -----○A
∑fy = 0
RA + RB + (-25.46 x 3.1) = 0 -----○B
Substitute ○A into ○B
39.46 + RB – 78.926 = 0
RB = 78.926 – 39.46
RB = 39.5kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 3
Shear Force Diagram
Point 1 = 39.46kN
Point 2 = 39.46 + (-25.46 x 3.1)
= 39.46 x 78.926
= -39.5K
Point 3 = -39.5 + 39.5
= 0kN
Bending Moment Diagram
Peak = (39.46 x 1.55) x ½
= 30.58
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 4
Beam B-D/5 (Ground Floor | Secondary Beam)
Dead Load:
○1 Slab (B-D/3-5) = 3.6kN/m2
x (3.21m/2) 2/3
= 3.85kN/m
○2 Slab (B-D/5-6) = 3.6kN/m2
X (3.21m/2)2/3
= 3.85kN/m
○3 Beam self-weight = 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
Total Dead Load:
Total Dead Load = 3.85 + 3.85 + 0.48
= 8.18kN/m
Live Load:
○1 Slab (B-D/3-5) = Stairs x (3.21m/2)2/3
= 1.5kN/m2 x (3.21m/2)2/3
= 1.605kN/m
At Slab (B-D/3-5),
Slab : Stairs = 3.21m : 1.4m
1.605 : α = 3.21 : 1.4
1.605/a = 3.21/1.4
a = 0.7kN/m
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 5
○2 Slab (B-D/3-5) = Corridor x (3.21m/2)2/3
= 4.0kN/m2 x (3.21m/2)2/3
= 4.28kN/m
At Slab (B-D/3-5),
Slab : Corridor = 3.21m : 1.81m
4.28 : α = 3.21 : 1.81
4.28/a = 3.21/1.81
a = 2.41kN/m
○3 Slab (B-D/3-5) = Stairs x (3.21m/2)2/3
= 1.5kN/m2 x (3.21m/2)2/3
= 1.605kN/m
At Slab (B-D/3-5),
Slab : Stairs = 3.21m : 1.4m
1.605 : α = 3.21 : 1.4
1.605/a = 3.21/1.4
a = 0.7kN/m
○4 Slab (B-D/3-5) = Corridor x (3.21/2)2/3
= 4.0kN/m2 x (3.21/2)2/3
= 4.28kN/m
At Slab (B-D/3-5),
Slab : Corridor = 3.21m : 1.81m
4.28 : α = 3.21 : 1.81
4.28/a = 3.21/1.81
a = 2.41kN/m
Total Live Load:
Total Live Load at (B-C) = 0.7 + 0.7
= 1.4kN/m
Total Live Load at (C-D) = 2.41 + 2.41
= 4.82kN/m
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 6
Ultimate Load:
Ultimate Load at (B-C) = TDL(1.4) + TLL(1.6)
= 8.18(1.4) + 1.4(1.6)
= 13.69kN/m
Ultimate Load at (C-D) = TDL(1.4) + TLL(1.6)
= 8.18(1.4) + 4.82(1.6)
= 19.16kN/m
Load Diagram of Beam (B-D/5):
Reaction Forces:
∑m = 0
RB(3.21) – (19.16 x 1.81)(0.91) – (13.69)(2.51) = 0
RB(3.21) – 31.56 – 34.36 = 0
RB = 65.92/3.21
RB = 20.54kN/m -----○A
∑fy = 0
RB+RD-(13.69 X 1.4) – (19.16 X 1.81) = 0 -----○B
Substitute ○A into ○B ,
20.54 + RD – 19.17 – 34.68 = 0
RD = 53.85 - 20.54
RD = 33.31kN/m
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 7
Shear Force Diagram:
Point 1 = 20.54
Point 2 = 20.54 – (13.69 x 1.4)
= 1.374
Point 3 = 1.374 – (19.16 x 1.81)
= -33.31
Point 4 = -33.31 + 33.31
= 0
Bending Moment Diagram:
Bending Moment 1
= (20.54 + 1.374)/2 x 1.4
= 15.34
Bending Moment 2
= 15.3398 + (1.374 x 0.3)/2
= 15.55
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 8
Beam B/3-6 (Ground Floor | Primary Beam)
Dead Load:
○1 Slab (A-B/3-4) = 3.6kN/m2
x (1.91m/2) 2/3
= 2.29kN/m
○2 Slab (A-B/4-6) = 3.6kN/m2
x (3.1m/2)
= 5.58kN/m
○3 Slab (B-D/3-5) = 3.6kN/m2
x (3.21m/2)
= 5.78kN/m
○4 Slab (B-D/5-6) = 3.6kN/m2
x (3.21m/2)
= 5.78kN/m
○5 Brick wall weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
○6 Beam self-weight = 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
Total Dead Load:
Total Dead Load at (B/3-4) = 2.29 + 5.78 + 5.7 + 1.44
= 15.21kN/m
Total Dead Load at (B/4-5) = 5.58 + 5.78 + 5.7 + 1.44
= 18.5kN/m
Total Dead Load at (B/5-6) = 5.58 + 5.78 + 5.7 + 1.44
= 18.5kN/m
Live Load:
○1 Slab (A-B/ 3-4) = Bathroom x (1.91m/2) 2/3
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 9
= 2.0kN/m2
x (1.91m/2) 2/3
= 1.27kN/m
○2 Slab (A-B/ 4-6) = Bedroom x (3.1m/2)
= 1.5kN/m2
x (3.1m/2)
= 2.33kN/m
○3 Slab (B-D/ 3-4) = Stairs x (3.21m/2)
= 1.5kN/m2
x (3.21m/2)
= 2.41kN/m
○4 Slab (D-F/ 5-6) = Stairs x (3.21m/2)
= 1.5kN/m2
x (3.21m/2)
= 2.41kN/m
Total Live Load:
Total Live Load at (B/3-4) = 1.27 + 2.41
= 3.68kN/m
Total Live Load at (B/4-5) = 2.33 + 2.41
= 4.74kN/m
Total Live Load at (B/5-6) = 2.33 + 2.41
= 4.74kN/m
Ultimate Load:
Ultimate Load at (B/3-4) = TDL(1.4) + TLL(1.6)
= 15.21(1.4) + 3.68(1.6)
= 27.18kN/m
Ultimate Load at (B/4-6) = TDL(1.4) + TLL(1.6)
= 18.5(1.4) + 4.74(1.6)
= 33.48kN/m
Load Diagram of Beam (B/3-6):
○1 Referring to Beam (A-B/4), Point Load at B/4 = 39.5kN
○2 Referring to Beam (B-D/5), Point Load at B/5 = 20.76kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 10
Reaction Force:
∑m = 0
RB3(7.09) – (27.18 x 1.91)(6.14) – (39.5)(5.18) – (20.76)(3.39) – (33.48 x 5.18)(2.59) = 0
RB3(7.09) – 318.75 – 204.61 – 70.38 – 449.17 = 0
RB3 = 1042.91/7.09
RB3 = 147.1kN -----○A
∑fy = 0
RB3 + RB6 – 39.5 – 20.76 – 27.18(1.91) – 33.48(5.18) = 0 -----○B
Substitute ○A into ○B ,
147.1 + RB6 – 39.5 – 20.76 – 51.91 – 173.43 = 0
RB6 = 138.5kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 11
Shear Force Diagram:
Point 1 = 147.1
Point 2 = 147.1 – (27.18 x 1.91)
= 95.19
Point 3 = 95.19 – 39.5
= 55.69
Point 4 = 55.69 – (33.48 x 1.79)
= -4.24
Point 5 = -4.24 – 20.76
= -25
Point 6 = -25 – (33.48 x 3.39)
= - 138.5
Bending Moment Diagram:
Bending Point 1
= (147.1 + 95.19)/2 x 1.91
= 231.39
Bending Point 2
= 231.39 + (55.69 x 1.662)/2
= 277.67
Bending Point 3
= 277.67 – (4.24 x 0.128)/2
= 277.4
Bending Point 4
= 277.4 – (25 + 138.5)/2 x 3.39
= 0
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 12
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 13
Beam J/1-3 (First Floor | Secondary Beam)
Dead Load at Beam (J-K/2):
○1 Slab (J-K/1-2) = 3.6kN/m2
x (1.81m/2)2/3
= 2.172kN/m
○2 Slab (J-K/2-3) = 3.6kN/m2
x (1.6m/2)
= 2.88kN/m
○3 Brick Wall Load = 3.0m x 0.1m x 19kN/m3
= 5.7kN/m
○4 Beam Self-Weight = 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
Total Dead Load at Beam (J-K/2):
Total Dead Load = 2.17 + 2.88 + 5.7 + 0.48
= 11.23kN/m
Live Load:
1 Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3
= 2.0kN/m2
x (1.81m/2)2/3
= 1.21kN/m
2 Slab (J-K/2-3) = Bedroom x (1.6m/2)
= 1.5kN/m2
x (1.6m/2)
= 1.2kN/m
Total Live Load at Beam (J-K/2):
Total Live Load = 1.21 + 1.2
= 2.41kN/m
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 14
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 15
Ultimate Load at Beam (J-K/2):
Ultimate Load = TDL(1.4) + TLL(1.6)
= 11.23(1.4) + 2.41(1.6)
= 19.58kN/m2
Load Diagram of beam (J-K/2):
Reaction Force
∑m = 0
RJ (1.81) – (19.58 x 1.81)(0.91) = 0
RJ (1.81) – 32.35 = 0
RJ = 32.25/1.81
RJ = 17.82kN -----○A
∑fy = 0
RJ + RK – (19.58) (1.81) = 0 -----○B
Substitute ○A into ○B ,
17.82 + RK – 35.44 = 0
RK = 17.62kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 16
Dead Load at Beam J/1-3
○1 Slab (H-J/1-3)= 3.6kN/m2
x (4.19m/2)2/3
= 5.03kN/m
○2 Slab (J-K/1-2) = 3.6kN/m2
x (1.81m/2)
= 3.26kN/m
○3 Slab (J-K/2-3) = 3.6kN/m2
x (1.6m/2)2/3
= 1.92kN/m
○4 Brick Wall Weight = 3.0m x 0.1m x 19kN/m3
= 5.7kN/m
○5 Beam Self Weight = 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
Total Dead Load at Beam (J/1-3):
Total Dead Load at (J/1-2) = 5.03 + 3.26 + 5.7 + 0.48
= 14.47kN/m
Total Dead Load at (J/2-3) = 5.03 + 1.92 + 5.7 + 0.48
= 13.13kN/m
Live Load at Beam J/1-3
○1 Slab (H-J/1-3) = Bedroom x (4,19m/2)2/3
= 1.5kN/m2
x (4.19m/2)2/3
= 2.095kN/m
○2 Slab (J-K/1-2) = Bathroom x (1.81m/2)
= 2.0kN/m2
x (1.81m/2)
= 1.81kN/m
○3 Slab J-K/2-3) = Bedroom x 1.6m/2)2/3
= 1.5kN/m2
x 1.6m/2)2/3
= 0.8kN/m
Total Live Load at Beam J/1-3:
Total Live Load at (J/1-2) = 2.095 + 1.81
= 3.905kN/m
Total Live Load at (J/2-3) = 2.095 + 0.8
= 2.895kN/m
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 17
Ultimate Load at Beam J/1-3
Ultimate Load at (J/1-2) = TDL (1.4) + TLL (1.6)
=14.47(1.4) + 3.905(1.6)
= 26.51kN/m
Ultimate Load at (J/2-3) = TDL (1.4) + TLL (1.6)
= 13.13(1.4) + 2.9(1.6)
= 23.02kN/m
Load Diagram of Beam (J/1-3):
○1 Referring to Beam (J-K/2), Point Load at J/2 = 17.82kN
∑m = 0
RJ1(4.19) – (23.02 x 1.6) (0.8) – (17.82) (1.6) – (26.51 x 2.59) (2.9) = 0
RJ1(4.19) – 29.47 – 28.512 – 199.12 = 0
RJ1 = 257.1/4.19
RJ1 = 61.36kN -----○A
∑fy = 0
RJ1 + RJ2 – 17.82 – (26.51 x 2.59) – (23.02 x 1.6) = 0 -----○B
Substitute ○A into ○B ,
61.36 + RJ2 – 17.82 – 68.66 – 36.83 = 0
RJ2 = 61.95kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 18
Shear Force Diagram
Point 1 = 61.36
Point 2 = 61.36 – (26.51 x 2.59)
= -7.3
Point 3 = -7.3 – 17.82
= -25.12
Point 4 = -25.12 – (23.02 x 1.6)
= -61.95
Point 5 = -61.95 + 61.95
Bending Moment Diagram
Bending Point 1
= (61.36 x 2.3)/2
= 70.56
Bending Point 2
= 70.56 – (7.3 x 0.29)/2
= 69.5
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 19
Beam H-K/1 (First Floor | Primary Beam)
Dead Load:
○1 Slab (H-J/1-3)= 3.6kN/m2
x (4.19m/2)
= 7.542kN/m
○2 Slab (J-K/1-2) = 3.6kN/m2
x (1.81m/2)2/3
= 2.17kN/m
○3 Brick Wall Weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
○4 Beam Self-Weight = 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
Total Dead Load:
Total Dead Load at (H-J) = 7.542 + 5.7 + 1.44
= 14.68kN/m
Total Dead Load at (J-K) = 2.17 + 5.7 + 1.44
= 9.31kN/m
Live Load:
○1 Slab (H-J/1-3) = Bedroom x (4.19m/2)
= 1.5kN/m2
x (4.19m/2)
= 3.14kN/m
○2 Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3
= 2.0kN/m2
x (1.81/2)2/3
= 1.21kN/m
Total Live Load:
Total Live Load at (H-J) = 3.14kN/m
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 20
Total Live Load at (J-K) = 1.21kN/m
Ultimate Load:
Ultimate Load at (H-J) = TDL (1.4) + TLL (1.6)
=14.68(1.4) + 3.14(1.6)
= 25.57kN/m
Ultimate Load at (J-K) = TDL (1.4) + TLL (1.6)
= 9.31(1.4) + 1.21(1.6)
= 14.97kN/m
Load Diagram of Beam (H-K/1):
○1 Referring to Beam (J/1-3), Point Load at J/1 = 61.36kN
∑m = 0
RH (6.3) – (25.57 X 4.49) (4.06) – (61.36) (1.81) – (14.97 X 1.81) (0.91) = 0
RH (6.3) – 466.13 – 111.06 – 24.66 = 0
RH = 601.85/6.3
RH = 95.53kN/m -----○A
∑fy = 0
RH + RK – 61.36 – (25.57 X 4.49) – (14.97 X 1.81) = 0 -----○B
Substitute ○A into ○B ,
95.53 + RK – 61.36 – 114.81 – 27.1 = 0
RK = 107.34kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 21
Shear Force Diagram
Point 1 = 95.53
Point 2 = 95.53 – (25.57 x 4.49)
= -19.28
Point 3 = -19.28 – 61.36
= -80.64
Point 4 = -80.64 – (14.97 x 1.81)
= -107.34
Point 5 = -107.34 + 107.34
= 0
Bending Moment Diagram
Bending Point 1
= (95.53 x 3.73)/2
= 178.163
Bending Point 2
= 178.163 - (19.28 x 0.76)/2
= 170.837
Bending Point 3
= 170.837 – (80.64 + 107.34)/2 x 1.81
= 0
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 22
Beam I-K/3 (First Floor | Primary Beam)
Dead Load
○1 Slab (H-J/1-3) = 3.6kN/m2
x (4.49m/2)
= 7.54kN/m
○2 Slab (I-N/3-5) = 3.6kN/m2
x (4.71/2)
= 8.48kN/m
○3 Slab (J-K/2-3) = 3.6kN/m2
x (1.6/2)
= 2.88kN/m
○4 Brick Wall Weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
○5 Beam Self-Weight = 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
Total Dead Load:
Total Dead Load at (I-J) = 7.54 + 8.48 + 5.7 + 1.44
= 23.16kN/m
Total Dead Load at (J-K) = 18.5kN/m
Live Load:
○1 Slab (H-J/1-3) = Bedroom x (4.49m/2)
= 1.5kN/m2
x (4.49m/2)
= 3.37kN/m
○2 Slab (I-N/3-5) = Living Room x (4.71m/2)
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 23
= 4.0kN/m2
x (4.71m/2)
= 9.4kN/m
○3 Slab (J-K/2-3) = Bedroom x (1.6m/2)
= 1.5kN/m2
x(1.6m/2)
= 1.2kN/m
Total Live Load:
Total Live Load at (I-J) = 3.37 + 9.4
= 12.77kN/m
Total Live Load at (J-K) = 9.4 + 1.2
= 10.6kN/m
Ultimate Load:
Ultimate Load at (I-J) = TDL (1.4) + TLL (1.6)
= 23.16(1.4) + 12.77(1.6)
= 52.85kN/m
Ultimate Load at (J-K) = TDL(1.4) + TLL(1.6)
= 18.5(1.4) + 10.6(1.6)
= 42.86kN/m
Load Diagram of Beam (I-K/3):
○1 Referring to Beam (J/1-3), Point Load at J/3 = 61.95kN/m
∑m = 0
RI(3.21) – (52.85 x 1.4) (2.51) – (61.95) (1.81) – (42.86 x 1.81) (0.91) = 0
RI(3.21) – 185.71 – 112.13 – 70.59 = 0
RI = 368.43/3.21
RI = 114.76kN -----○A
∑fy = 0
RI + RK – 61.95 – (52.85 X 1.4) – (42.86 X 1.81) = 0 -----○B
Substitute ○A into ○B ,
114.76 + RK – 61.95 – 73.99 – 77.58 = 0
RK = 98.76kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 24
Shear Force Diagram:
Point 1 = 114.76
Point 2 = 114.76 – (52.85 x 1.4)
=40.77
Point 3 = 40.77 – 61.95
= - 21.18
Point 4 = -21.18 – (42.86 x 1.81)
= -98.76
Point 5 = -98.76 + 98.76
= 0
Bending Moment Diagram
Bending Point 1
= (114.76 + 40.77)/2 x 1.4
= 108.87
Bending Point 2
= 108.87 - (21.18 + 98.76)/2 x 1.81
= 0
1.4 3.21
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 25
9.2 Joyce Wee
Column A/1 (Connected to All Floors)
-Roof Level-
Dead Load:
○1 Roof Slab = (3.155 x 2.09) m2
x 3.6kN/m2
= 6.59m2
x 3.6kN/m2
= 23.72kN
○2 Roof Beam = (3.155 + 2.09) m x 1.44kN/m
= 5.245m x 1.44kN/m
= 7.55kN
Total Dead Load at Roof Level
= 23.72kN + 7.55kN
= 31.27kN
-First Floor-
Dead Load: Live Load:
○1 Slab = (3.155 x 2.09)m2 x 3.6kN/m2
○1 Bedroom
= 6.59m2
x 3.6kN/m2
= (2.09m x 3.155m) x 1.5kN/m2
= 23.72kN = 9.89kN
○2 Wall = (3.155m + 2.09m) x 5.7kN/m
= 5.245m x 5.7kN/m
= 29.9kN
○3 Beam = (3.155m + 2.09m) x 1.44kN/m
= 5.75m x 1.44kN/m
= 7.55kN
○4 Column = (0.3m x 0.3m x 3.0m) x 24kN/m3
= 6.48kN
Total Dead Load at First Floor Total Live Load at First Floor
= 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN
= 67.65kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 26
-Ground Floor-
Dead Load: Live Load:
○1 Slab = (3.155 + 2.09) m2
x 3.6kN/m2
○1 Bedroom
= 6.59m2
x 3.6kN/m2
= (3.155m x 2.09m) x 1.5kN/m2
= 23.72kN = 9.89kN
○2 Wall = (3.155m + 2.09m) x 5.7kN/m
= 5.245m x 5.7kN/m
= 29.9kN
○3 Beam = (3.155 + 2.09) m x 1.44kN/m
= 5.245m x 1.44kN/m
= 7.55kN
○4 Column = 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
Total Dead Load at Ground Floor Total Live Load at Ground Floor
= 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN
= 67.65kN
Total Dead Load at Column D/3 Total Live Load at Column D/3
= 31.27kN + 67.65kN + 67.65kN = 9.89kN + 9.89kN
= 166.57kN = 19.78kN
Ultimate Load at Column D/3
= TDL (1.4) + TLL (1.6)
= 166.57kN (1.4) + 19.78kN (1.6)
= 233.198kN + 31.648kN
= 264.85kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 27
Column D/3 (Connected to All Floors)
-Roof Level-
Dead Load: Live Load:
○1 Roof Slab = (3.66 x 3.94) m2
x 3.6kN/m2
= 14.42m2
x 3.6kN/m2
= 51.91kN
○2 Roof Beam = (2.09 + 1.61 + 2.05) m x 1.44kN/m
= 5.75m x 1.44kN/m
= 8.28kN
Total Dead Load at Roof Level
= 51.91kN + 8.28kN
= 60.19kN
-First Floor-
Dead Load: Live Load:
○1 Slab = (3.36m2
+ 2.98m2
+ 3.79m2
) x 3.6kN/m2
○1 Bedroom
= 10.13m2 x 3.6kN/m2 = (2.09m x 1.61m) x 1.5kN/m2
= 36.468kN = 5.05kN
○2 Wall = (2.09m + 1.61m) x 5.7kN/m ○2 Corridor
= 3.7m x 5.7kN/m = (3.66m x 1.85m) x 4.0kN/m2
= 21.09kN = 27.08kN
○3 Beam = (2.09m + 1.61m + 2.05m) x 1.44kN/m
= 5.75m x 1.44kN/m
= 8.28kN
○4 Column = (0.3m x 0.3m x 3.0m) x 24kN/m3
= 6.48kN
Total Dead Load at First Floor Total Live Load at First Floor
= 36.47kN + 21.09kN + 8.28kN + 6.48kN = 5.05kN + 27.08kN
= 72.32kN = 32.13kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 28
-Ground Floor-
Dead Load: Live Load:
○1 Slab = (1.61 + 2.05)m x (2.09 + 1.85)m x 3.6kN/m2
○1 Bedroom
= (3.66m x 3.94m) x 3.6kN/m2
= (2.09m x 1.61m) x 1.5kN/m2
= 51.91kN = 5.05kN
○2 Wall = (2.05m + 2.09m + 1.61m) x 5.7kN/m ○2 Corridor
= 5.75m x 5.7kN/m = (1.85m x 1.61m) x 4.0kN/m2
= 32.78kN = 11.91kN
○3 Beam = (2.05 + 2.09 + 1.61 + 1.85) m x 1.44kN/m ○3 Kitchen
= 7.6m x 1.44kN/m = (3.94m x 2.05m) x 3.0kN/m2
= 10.944kN = 24.231kN
○4 Column = 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
Total Dead Load at Ground Floor Total Live Load at Ground Floor
= 51.91kN + 32.78kN + 10.944kN + 6.48kN = 5.05kN + 11.91kN + 24.23kN
= 234.62kN = 41.19kN
Total Dead Load at Column D/3 Total Live Load at Column D/3
= 60.19kN + 72.32kN + 102.11kN = 32.13kN + 41.19kN
= 234.62kN = 73.32kN
Ultimate Load at Column D/3
= TDL (1.4) + TLL (1.6)
= 234.62kN (1.4) + 73.32kN (1.6)
= 328.47kN + 117.312kN
= 445.78kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 29
Column D/6 (Acting on Ground Floor Only)
-Ground Floor-
Dead Load: Live Load:
○1 Slab = (1.7 + 1.34)m (1.61 + 3.83)m x 3.6kN/m2
○1 Corridor
= (3.04m x 5.444m) x 3.6kN/m2
= (1.61m x 1.7) x 4.0kN/m2
= 59.54kN = 10.95kN
○2 Wall = (1.7m + 3.83m) x 5.7kN/m ○2 Living Room
= 5.53m x 5.7kN/m = (1.61m + 3.83m) x 1.34m x 4.0kN/m2
= 31.52kN = 29.16kN
○3 Beam = (1.7 + 3.83 + 1.34 + 1.61) m x 1.44kN/m ○3 Storeroom
= 8.48m x 1.44kN/m = (1.7m x 3.83m) x 2.5kN/m2
= 12.214kN = 16.28kN
○4 Column = 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
Total Dead Load at Ground Floor Total Live Load at Ground Floor
= 51.54kN + 31.52kN + 12.21kN + 6.48kN = 10.95kN + 29.16kN + 16.28kN
= 109.75kN = 56.39kN
Total Dead Load at Column D/3 Total Live Load at Column D/3
= 109.75kN = 56.39kN
Ultimate Load at Column D/3
= TDL (1.4) + TLL (1.6)
= 109.75kN (1.4) + 56.39kN (1.6)
= 153.65kN + 90.22kN
= 243.87kN
BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 30

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Beam and Column Analysis | Individual Component

  • 1. 8.2 Joyce Wee Beam A-B/4 (Ground Floor | Secondary Beam) Dead Load: ○1 Slab (A-B/ 3-4) = 3.6kN/m2 x (1.91m/2) = 3.44kN/m ○2 Slab (A-B/ 4-6) = 3.6kN/m2 x (3.1m/2) 2/3 = 3.72kN/m ○3 Brick wall weight = 3m x 0.1m x 19kN/m3 =5.7kN/m ○4 Beam self-weight = 0.1m x 0.2m x 24kN/m3 = 0.48kN/m Total Dead Load: Total Dead Load = 3.44 + 3.72 + 5.7 + 0.48 = 13.34kN/m Live Load: ○1 Slab (A-B/ 3-4) = Bathroom x (1.91m/2) = 2.0kN/m2 x (1.91m/2) = 1.91kN/m ○2 Slab (A-B/ 4-6) = Bedroom x (3.1m/2) = 1.5kN/m2 x (3.1m/2) = 2.33kN/m Total Live Load: Total Live Load = 1.91kN/m + 2.33kN/m =4.24kN/m
  • 2. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 2 Ultimate Load: Ultimate Load = TDL(1.4) + TLL(1.6) = 13.34(1.4) + 4.24(1.6) = 25.46kN/m Load Diagram for Beam (A-B/4) Reaction Force: ∑m = 0 (RA x 3.1) – (25.46 x 3.1)(1.55) = 0 RA(3.1) – 122.34 = 0 RA = 122.34/3.1 RA = 39.46kN -----○A ∑fy = 0 RA + RB + (-25.46 x 3.1) = 0 -----○B Substitute ○A into ○B 39.46 + RB – 78.926 = 0 RB = 78.926 – 39.46 RB = 39.5kN
  • 3. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 3 Shear Force Diagram Point 1 = 39.46kN Point 2 = 39.46 + (-25.46 x 3.1) = 39.46 x 78.926 = -39.5K Point 3 = -39.5 + 39.5 = 0kN Bending Moment Diagram Peak = (39.46 x 1.55) x ½ = 30.58
  • 4. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 4 Beam B-D/5 (Ground Floor | Secondary Beam) Dead Load: ○1 Slab (B-D/3-5) = 3.6kN/m2 x (3.21m/2) 2/3 = 3.85kN/m ○2 Slab (B-D/5-6) = 3.6kN/m2 X (3.21m/2)2/3 = 3.85kN/m ○3 Beam self-weight = 0.1m x 0.2m x 24kN/m3 = 0.48kN/m Total Dead Load: Total Dead Load = 3.85 + 3.85 + 0.48 = 8.18kN/m Live Load: ○1 Slab (B-D/3-5) = Stairs x (3.21m/2)2/3 = 1.5kN/m2 x (3.21m/2)2/3 = 1.605kN/m At Slab (B-D/3-5), Slab : Stairs = 3.21m : 1.4m 1.605 : α = 3.21 : 1.4 1.605/a = 3.21/1.4 a = 0.7kN/m
  • 5. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 5 ○2 Slab (B-D/3-5) = Corridor x (3.21m/2)2/3 = 4.0kN/m2 x (3.21m/2)2/3 = 4.28kN/m At Slab (B-D/3-5), Slab : Corridor = 3.21m : 1.81m 4.28 : α = 3.21 : 1.81 4.28/a = 3.21/1.81 a = 2.41kN/m ○3 Slab (B-D/3-5) = Stairs x (3.21m/2)2/3 = 1.5kN/m2 x (3.21m/2)2/3 = 1.605kN/m At Slab (B-D/3-5), Slab : Stairs = 3.21m : 1.4m 1.605 : α = 3.21 : 1.4 1.605/a = 3.21/1.4 a = 0.7kN/m ○4 Slab (B-D/3-5) = Corridor x (3.21/2)2/3 = 4.0kN/m2 x (3.21/2)2/3 = 4.28kN/m At Slab (B-D/3-5), Slab : Corridor = 3.21m : 1.81m 4.28 : α = 3.21 : 1.81 4.28/a = 3.21/1.81 a = 2.41kN/m Total Live Load: Total Live Load at (B-C) = 0.7 + 0.7 = 1.4kN/m Total Live Load at (C-D) = 2.41 + 2.41 = 4.82kN/m
  • 6. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 6 Ultimate Load: Ultimate Load at (B-C) = TDL(1.4) + TLL(1.6) = 8.18(1.4) + 1.4(1.6) = 13.69kN/m Ultimate Load at (C-D) = TDL(1.4) + TLL(1.6) = 8.18(1.4) + 4.82(1.6) = 19.16kN/m Load Diagram of Beam (B-D/5): Reaction Forces: ∑m = 0 RB(3.21) – (19.16 x 1.81)(0.91) – (13.69)(2.51) = 0 RB(3.21) – 31.56 – 34.36 = 0 RB = 65.92/3.21 RB = 20.54kN/m -----○A ∑fy = 0 RB+RD-(13.69 X 1.4) – (19.16 X 1.81) = 0 -----○B Substitute ○A into ○B , 20.54 + RD – 19.17 – 34.68 = 0 RD = 53.85 - 20.54 RD = 33.31kN/m
  • 7. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 7 Shear Force Diagram: Point 1 = 20.54 Point 2 = 20.54 – (13.69 x 1.4) = 1.374 Point 3 = 1.374 – (19.16 x 1.81) = -33.31 Point 4 = -33.31 + 33.31 = 0 Bending Moment Diagram: Bending Moment 1 = (20.54 + 1.374)/2 x 1.4 = 15.34 Bending Moment 2 = 15.3398 + (1.374 x 0.3)/2 = 15.55
  • 8. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 8 Beam B/3-6 (Ground Floor | Primary Beam) Dead Load: ○1 Slab (A-B/3-4) = 3.6kN/m2 x (1.91m/2) 2/3 = 2.29kN/m ○2 Slab (A-B/4-6) = 3.6kN/m2 x (3.1m/2) = 5.58kN/m ○3 Slab (B-D/3-5) = 3.6kN/m2 x (3.21m/2) = 5.78kN/m ○4 Slab (B-D/5-6) = 3.6kN/m2 x (3.21m/2) = 5.78kN/m ○5 Brick wall weight = 3m x 0.1m x 19kN/m3 = 5.7kN/m ○6 Beam self-weight = 0.2m x 0.3m x 24kN/m3 = 1.44kN/m Total Dead Load: Total Dead Load at (B/3-4) = 2.29 + 5.78 + 5.7 + 1.44 = 15.21kN/m Total Dead Load at (B/4-5) = 5.58 + 5.78 + 5.7 + 1.44 = 18.5kN/m Total Dead Load at (B/5-6) = 5.58 + 5.78 + 5.7 + 1.44 = 18.5kN/m Live Load: ○1 Slab (A-B/ 3-4) = Bathroom x (1.91m/2) 2/3
  • 9. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 9 = 2.0kN/m2 x (1.91m/2) 2/3 = 1.27kN/m ○2 Slab (A-B/ 4-6) = Bedroom x (3.1m/2) = 1.5kN/m2 x (3.1m/2) = 2.33kN/m ○3 Slab (B-D/ 3-4) = Stairs x (3.21m/2) = 1.5kN/m2 x (3.21m/2) = 2.41kN/m ○4 Slab (D-F/ 5-6) = Stairs x (3.21m/2) = 1.5kN/m2 x (3.21m/2) = 2.41kN/m Total Live Load: Total Live Load at (B/3-4) = 1.27 + 2.41 = 3.68kN/m Total Live Load at (B/4-5) = 2.33 + 2.41 = 4.74kN/m Total Live Load at (B/5-6) = 2.33 + 2.41 = 4.74kN/m Ultimate Load: Ultimate Load at (B/3-4) = TDL(1.4) + TLL(1.6) = 15.21(1.4) + 3.68(1.6) = 27.18kN/m Ultimate Load at (B/4-6) = TDL(1.4) + TLL(1.6) = 18.5(1.4) + 4.74(1.6) = 33.48kN/m Load Diagram of Beam (B/3-6): ○1 Referring to Beam (A-B/4), Point Load at B/4 = 39.5kN ○2 Referring to Beam (B-D/5), Point Load at B/5 = 20.76kN
  • 10. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 10 Reaction Force: ∑m = 0 RB3(7.09) – (27.18 x 1.91)(6.14) – (39.5)(5.18) – (20.76)(3.39) – (33.48 x 5.18)(2.59) = 0 RB3(7.09) – 318.75 – 204.61 – 70.38 – 449.17 = 0 RB3 = 1042.91/7.09 RB3 = 147.1kN -----○A ∑fy = 0 RB3 + RB6 – 39.5 – 20.76 – 27.18(1.91) – 33.48(5.18) = 0 -----○B Substitute ○A into ○B , 147.1 + RB6 – 39.5 – 20.76 – 51.91 – 173.43 = 0 RB6 = 138.5kN
  • 11. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 11 Shear Force Diagram: Point 1 = 147.1 Point 2 = 147.1 – (27.18 x 1.91) = 95.19 Point 3 = 95.19 – 39.5 = 55.69 Point 4 = 55.69 – (33.48 x 1.79) = -4.24 Point 5 = -4.24 – 20.76 = -25 Point 6 = -25 – (33.48 x 3.39) = - 138.5 Bending Moment Diagram: Bending Point 1 = (147.1 + 95.19)/2 x 1.91 = 231.39 Bending Point 2 = 231.39 + (55.69 x 1.662)/2 = 277.67 Bending Point 3 = 277.67 – (4.24 x 0.128)/2 = 277.4 Bending Point 4 = 277.4 – (25 + 138.5)/2 x 3.39 = 0
  • 12. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 12
  • 13. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 13 Beam J/1-3 (First Floor | Secondary Beam) Dead Load at Beam (J-K/2): ○1 Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)2/3 = 2.172kN/m ○2 Slab (J-K/2-3) = 3.6kN/m2 x (1.6m/2) = 2.88kN/m ○3 Brick Wall Load = 3.0m x 0.1m x 19kN/m3 = 5.7kN/m ○4 Beam Self-Weight = 0.1m x 0.2m x 24kN/m3 = 0.48kN/m Total Dead Load at Beam (J-K/2): Total Dead Load = 2.17 + 2.88 + 5.7 + 0.48 = 11.23kN/m Live Load: 1 Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3 = 2.0kN/m2 x (1.81m/2)2/3 = 1.21kN/m 2 Slab (J-K/2-3) = Bedroom x (1.6m/2) = 1.5kN/m2 x (1.6m/2) = 1.2kN/m Total Live Load at Beam (J-K/2): Total Live Load = 1.21 + 1.2 = 2.41kN/m
  • 14. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 14
  • 15. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 15 Ultimate Load at Beam (J-K/2): Ultimate Load = TDL(1.4) + TLL(1.6) = 11.23(1.4) + 2.41(1.6) = 19.58kN/m2 Load Diagram of beam (J-K/2): Reaction Force ∑m = 0 RJ (1.81) – (19.58 x 1.81)(0.91) = 0 RJ (1.81) – 32.35 = 0 RJ = 32.25/1.81 RJ = 17.82kN -----○A ∑fy = 0 RJ + RK – (19.58) (1.81) = 0 -----○B Substitute ○A into ○B , 17.82 + RK – 35.44 = 0 RK = 17.62kN
  • 16. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 16 Dead Load at Beam J/1-3 ○1 Slab (H-J/1-3)= 3.6kN/m2 x (4.19m/2)2/3 = 5.03kN/m ○2 Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2) = 3.26kN/m ○3 Slab (J-K/2-3) = 3.6kN/m2 x (1.6m/2)2/3 = 1.92kN/m ○4 Brick Wall Weight = 3.0m x 0.1m x 19kN/m3 = 5.7kN/m ○5 Beam Self Weight = 0.1m x 0.2m x 24kN/m3 = 0.48kN/m Total Dead Load at Beam (J/1-3): Total Dead Load at (J/1-2) = 5.03 + 3.26 + 5.7 + 0.48 = 14.47kN/m Total Dead Load at (J/2-3) = 5.03 + 1.92 + 5.7 + 0.48 = 13.13kN/m Live Load at Beam J/1-3 ○1 Slab (H-J/1-3) = Bedroom x (4,19m/2)2/3 = 1.5kN/m2 x (4.19m/2)2/3 = 2.095kN/m ○2 Slab (J-K/1-2) = Bathroom x (1.81m/2) = 2.0kN/m2 x (1.81m/2) = 1.81kN/m ○3 Slab J-K/2-3) = Bedroom x 1.6m/2)2/3 = 1.5kN/m2 x 1.6m/2)2/3 = 0.8kN/m Total Live Load at Beam J/1-3: Total Live Load at (J/1-2) = 2.095 + 1.81 = 3.905kN/m Total Live Load at (J/2-3) = 2.095 + 0.8 = 2.895kN/m
  • 17. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 17 Ultimate Load at Beam J/1-3 Ultimate Load at (J/1-2) = TDL (1.4) + TLL (1.6) =14.47(1.4) + 3.905(1.6) = 26.51kN/m Ultimate Load at (J/2-3) = TDL (1.4) + TLL (1.6) = 13.13(1.4) + 2.9(1.6) = 23.02kN/m Load Diagram of Beam (J/1-3): ○1 Referring to Beam (J-K/2), Point Load at J/2 = 17.82kN ∑m = 0 RJ1(4.19) – (23.02 x 1.6) (0.8) – (17.82) (1.6) – (26.51 x 2.59) (2.9) = 0 RJ1(4.19) – 29.47 – 28.512 – 199.12 = 0 RJ1 = 257.1/4.19 RJ1 = 61.36kN -----○A ∑fy = 0 RJ1 + RJ2 – 17.82 – (26.51 x 2.59) – (23.02 x 1.6) = 0 -----○B Substitute ○A into ○B , 61.36 + RJ2 – 17.82 – 68.66 – 36.83 = 0 RJ2 = 61.95kN
  • 18. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 18 Shear Force Diagram Point 1 = 61.36 Point 2 = 61.36 – (26.51 x 2.59) = -7.3 Point 3 = -7.3 – 17.82 = -25.12 Point 4 = -25.12 – (23.02 x 1.6) = -61.95 Point 5 = -61.95 + 61.95 Bending Moment Diagram Bending Point 1 = (61.36 x 2.3)/2 = 70.56 Bending Point 2 = 70.56 – (7.3 x 0.29)/2 = 69.5
  • 19. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 19 Beam H-K/1 (First Floor | Primary Beam) Dead Load: ○1 Slab (H-J/1-3)= 3.6kN/m2 x (4.19m/2) = 7.542kN/m ○2 Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)2/3 = 2.17kN/m ○3 Brick Wall Weight = 3m x 0.1m x 19kN/m3 = 5.7kN/m ○4 Beam Self-Weight = 0.2m x 0.3m x 24kN/m3 = 1.44kN/m Total Dead Load: Total Dead Load at (H-J) = 7.542 + 5.7 + 1.44 = 14.68kN/m Total Dead Load at (J-K) = 2.17 + 5.7 + 1.44 = 9.31kN/m Live Load: ○1 Slab (H-J/1-3) = Bedroom x (4.19m/2) = 1.5kN/m2 x (4.19m/2) = 3.14kN/m ○2 Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3 = 2.0kN/m2 x (1.81/2)2/3 = 1.21kN/m Total Live Load: Total Live Load at (H-J) = 3.14kN/m
  • 20. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 20 Total Live Load at (J-K) = 1.21kN/m Ultimate Load: Ultimate Load at (H-J) = TDL (1.4) + TLL (1.6) =14.68(1.4) + 3.14(1.6) = 25.57kN/m Ultimate Load at (J-K) = TDL (1.4) + TLL (1.6) = 9.31(1.4) + 1.21(1.6) = 14.97kN/m Load Diagram of Beam (H-K/1): ○1 Referring to Beam (J/1-3), Point Load at J/1 = 61.36kN ∑m = 0 RH (6.3) – (25.57 X 4.49) (4.06) – (61.36) (1.81) – (14.97 X 1.81) (0.91) = 0 RH (6.3) – 466.13 – 111.06 – 24.66 = 0 RH = 601.85/6.3 RH = 95.53kN/m -----○A ∑fy = 0 RH + RK – 61.36 – (25.57 X 4.49) – (14.97 X 1.81) = 0 -----○B Substitute ○A into ○B , 95.53 + RK – 61.36 – 114.81 – 27.1 = 0 RK = 107.34kN
  • 21. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 21 Shear Force Diagram Point 1 = 95.53 Point 2 = 95.53 – (25.57 x 4.49) = -19.28 Point 3 = -19.28 – 61.36 = -80.64 Point 4 = -80.64 – (14.97 x 1.81) = -107.34 Point 5 = -107.34 + 107.34 = 0 Bending Moment Diagram Bending Point 1 = (95.53 x 3.73)/2 = 178.163 Bending Point 2 = 178.163 - (19.28 x 0.76)/2 = 170.837 Bending Point 3 = 170.837 – (80.64 + 107.34)/2 x 1.81 = 0
  • 22. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 22 Beam I-K/3 (First Floor | Primary Beam) Dead Load ○1 Slab (H-J/1-3) = 3.6kN/m2 x (4.49m/2) = 7.54kN/m ○2 Slab (I-N/3-5) = 3.6kN/m2 x (4.71/2) = 8.48kN/m ○3 Slab (J-K/2-3) = 3.6kN/m2 x (1.6/2) = 2.88kN/m ○4 Brick Wall Weight = 3m x 0.1m x 19kN/m3 = 5.7kN/m ○5 Beam Self-Weight = 0.2m x 0.3m x 24kN/m3 = 1.44kN/m Total Dead Load: Total Dead Load at (I-J) = 7.54 + 8.48 + 5.7 + 1.44 = 23.16kN/m Total Dead Load at (J-K) = 18.5kN/m Live Load: ○1 Slab (H-J/1-3) = Bedroom x (4.49m/2) = 1.5kN/m2 x (4.49m/2) = 3.37kN/m ○2 Slab (I-N/3-5) = Living Room x (4.71m/2)
  • 23. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 23 = 4.0kN/m2 x (4.71m/2) = 9.4kN/m ○3 Slab (J-K/2-3) = Bedroom x (1.6m/2) = 1.5kN/m2 x(1.6m/2) = 1.2kN/m Total Live Load: Total Live Load at (I-J) = 3.37 + 9.4 = 12.77kN/m Total Live Load at (J-K) = 9.4 + 1.2 = 10.6kN/m Ultimate Load: Ultimate Load at (I-J) = TDL (1.4) + TLL (1.6) = 23.16(1.4) + 12.77(1.6) = 52.85kN/m Ultimate Load at (J-K) = TDL(1.4) + TLL(1.6) = 18.5(1.4) + 10.6(1.6) = 42.86kN/m Load Diagram of Beam (I-K/3): ○1 Referring to Beam (J/1-3), Point Load at J/3 = 61.95kN/m ∑m = 0 RI(3.21) – (52.85 x 1.4) (2.51) – (61.95) (1.81) – (42.86 x 1.81) (0.91) = 0 RI(3.21) – 185.71 – 112.13 – 70.59 = 0 RI = 368.43/3.21 RI = 114.76kN -----○A ∑fy = 0 RI + RK – 61.95 – (52.85 X 1.4) – (42.86 X 1.81) = 0 -----○B Substitute ○A into ○B , 114.76 + RK – 61.95 – 73.99 – 77.58 = 0 RK = 98.76kN
  • 24. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 24 Shear Force Diagram: Point 1 = 114.76 Point 2 = 114.76 – (52.85 x 1.4) =40.77 Point 3 = 40.77 – 61.95 = - 21.18 Point 4 = -21.18 – (42.86 x 1.81) = -98.76 Point 5 = -98.76 + 98.76 = 0 Bending Moment Diagram Bending Point 1 = (114.76 + 40.77)/2 x 1.4 = 108.87 Bending Point 2 = 108.87 - (21.18 + 98.76)/2 x 1.81 = 0 1.4 3.21
  • 25. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 25 9.2 Joyce Wee Column A/1 (Connected to All Floors) -Roof Level- Dead Load: ○1 Roof Slab = (3.155 x 2.09) m2 x 3.6kN/m2 = 6.59m2 x 3.6kN/m2 = 23.72kN ○2 Roof Beam = (3.155 + 2.09) m x 1.44kN/m = 5.245m x 1.44kN/m = 7.55kN Total Dead Load at Roof Level = 23.72kN + 7.55kN = 31.27kN -First Floor- Dead Load: Live Load: ○1 Slab = (3.155 x 2.09)m2 x 3.6kN/m2 ○1 Bedroom = 6.59m2 x 3.6kN/m2 = (2.09m x 3.155m) x 1.5kN/m2 = 23.72kN = 9.89kN ○2 Wall = (3.155m + 2.09m) x 5.7kN/m = 5.245m x 5.7kN/m = 29.9kN ○3 Beam = (3.155m + 2.09m) x 1.44kN/m = 5.75m x 1.44kN/m = 7.55kN ○4 Column = (0.3m x 0.3m x 3.0m) x 24kN/m3 = 6.48kN Total Dead Load at First Floor Total Live Load at First Floor = 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN = 67.65kN
  • 26. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 26 -Ground Floor- Dead Load: Live Load: ○1 Slab = (3.155 + 2.09) m2 x 3.6kN/m2 ○1 Bedroom = 6.59m2 x 3.6kN/m2 = (3.155m x 2.09m) x 1.5kN/m2 = 23.72kN = 9.89kN ○2 Wall = (3.155m + 2.09m) x 5.7kN/m = 5.245m x 5.7kN/m = 29.9kN ○3 Beam = (3.155 + 2.09) m x 1.44kN/m = 5.245m x 1.44kN/m = 7.55kN ○4 Column = 0.3m x 0.3m x 3.0m x 24kN/m3 = 6.48kN Total Dead Load at Ground Floor Total Live Load at Ground Floor = 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN = 67.65kN Total Dead Load at Column D/3 Total Live Load at Column D/3 = 31.27kN + 67.65kN + 67.65kN = 9.89kN + 9.89kN = 166.57kN = 19.78kN Ultimate Load at Column D/3 = TDL (1.4) + TLL (1.6) = 166.57kN (1.4) + 19.78kN (1.6) = 233.198kN + 31.648kN = 264.85kN
  • 27. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 27 Column D/3 (Connected to All Floors) -Roof Level- Dead Load: Live Load: ○1 Roof Slab = (3.66 x 3.94) m2 x 3.6kN/m2 = 14.42m2 x 3.6kN/m2 = 51.91kN ○2 Roof Beam = (2.09 + 1.61 + 2.05) m x 1.44kN/m = 5.75m x 1.44kN/m = 8.28kN Total Dead Load at Roof Level = 51.91kN + 8.28kN = 60.19kN -First Floor- Dead Load: Live Load: ○1 Slab = (3.36m2 + 2.98m2 + 3.79m2 ) x 3.6kN/m2 ○1 Bedroom = 10.13m2 x 3.6kN/m2 = (2.09m x 1.61m) x 1.5kN/m2 = 36.468kN = 5.05kN ○2 Wall = (2.09m + 1.61m) x 5.7kN/m ○2 Corridor = 3.7m x 5.7kN/m = (3.66m x 1.85m) x 4.0kN/m2 = 21.09kN = 27.08kN ○3 Beam = (2.09m + 1.61m + 2.05m) x 1.44kN/m = 5.75m x 1.44kN/m = 8.28kN ○4 Column = (0.3m x 0.3m x 3.0m) x 24kN/m3 = 6.48kN Total Dead Load at First Floor Total Live Load at First Floor = 36.47kN + 21.09kN + 8.28kN + 6.48kN = 5.05kN + 27.08kN = 72.32kN = 32.13kN
  • 28. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 28 -Ground Floor- Dead Load: Live Load: ○1 Slab = (1.61 + 2.05)m x (2.09 + 1.85)m x 3.6kN/m2 ○1 Bedroom = (3.66m x 3.94m) x 3.6kN/m2 = (2.09m x 1.61m) x 1.5kN/m2 = 51.91kN = 5.05kN ○2 Wall = (2.05m + 2.09m + 1.61m) x 5.7kN/m ○2 Corridor = 5.75m x 5.7kN/m = (1.85m x 1.61m) x 4.0kN/m2 = 32.78kN = 11.91kN ○3 Beam = (2.05 + 2.09 + 1.61 + 1.85) m x 1.44kN/m ○3 Kitchen = 7.6m x 1.44kN/m = (3.94m x 2.05m) x 3.0kN/m2 = 10.944kN = 24.231kN ○4 Column = 0.3m x 0.3m x 3.0m x 24kN/m3 = 6.48kN Total Dead Load at Ground Floor Total Live Load at Ground Floor = 51.91kN + 32.78kN + 10.944kN + 6.48kN = 5.05kN + 11.91kN + 24.23kN = 234.62kN = 41.19kN Total Dead Load at Column D/3 Total Live Load at Column D/3 = 60.19kN + 72.32kN + 102.11kN = 32.13kN + 41.19kN = 234.62kN = 73.32kN Ultimate Load at Column D/3 = TDL (1.4) + TLL (1.6) = 234.62kN (1.4) + 73.32kN (1.6) = 328.47kN + 117.312kN = 445.78kN
  • 29. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 29 Column D/6 (Acting on Ground Floor Only) -Ground Floor- Dead Load: Live Load: ○1 Slab = (1.7 + 1.34)m (1.61 + 3.83)m x 3.6kN/m2 ○1 Corridor = (3.04m x 5.444m) x 3.6kN/m2 = (1.61m x 1.7) x 4.0kN/m2 = 59.54kN = 10.95kN ○2 Wall = (1.7m + 3.83m) x 5.7kN/m ○2 Living Room = 5.53m x 5.7kN/m = (1.61m + 3.83m) x 1.34m x 4.0kN/m2 = 31.52kN = 29.16kN ○3 Beam = (1.7 + 3.83 + 1.34 + 1.61) m x 1.44kN/m ○3 Storeroom = 8.48m x 1.44kN/m = (1.7m x 3.83m) x 2.5kN/m2 = 12.214kN = 16.28kN ○4 Column = 0.3m x 0.3m x 3.0m x 24kN/m3 = 6.48kN Total Dead Load at Ground Floor Total Live Load at Ground Floor = 51.54kN + 31.52kN + 12.21kN + 6.48kN = 10.95kN + 29.16kN + 16.28kN = 109.75kN = 56.39kN Total Dead Load at Column D/3 Total Live Load at Column D/3 = 109.75kN = 56.39kN Ultimate Load at Column D/3 = TDL (1.4) + TLL (1.6) = 109.75kN (1.4) + 56.39kN (1.6) = 153.65kN + 90.22kN = 243.87kN
  • 30. BUILDING STRUCTURE PROJECT2: BEAM AND COLUMN 30