final structure report
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STRUCTURAL ANALYSISOF A BUNGALOW
BUILDING STRUCTURES[BLD61003]PROJECT 2
Tay Jit Ying 0319002Tan Wei Xin 0322731Ng Yi Yang 0319688
DESIGN BRIEF
Structural frame plays an important role in a building. It keeps the building
intact, provide supports of cladding, resist weather and different loads and forces. It
is important to understand the building structure analytically to aid in the safety of
building. This report aims to understand the building structure as well as the forces
and load that acts against it. A double storey bungalow is designed with a skeletal
frame to study the load distribution of the slabs, beams, columns and walls throught
the use of calculations and analysis. The house is designed with reinforcement
concrete and brick wall as the main materials.
PAGE OF CONTENT
1.0 Floor Plans
1.1 Ground Floor Plan
1.2 First Floor Plan
1.3 Roof Plan
2.0 Structural Plan
2.1 Foundation Plan
2.2 Ground Floor Plan
2.3 FIrst Floor Plan
2.4 Roof Plan
3.0 Quantity Life and Dead Loads Acting On Structure
4.0 Load Distribution Diagram
4.1 Ground Floor Plan
4.2 FIrst Floor Plan
4.3 Roof Plan
5.0 Tributary Area
5.1 Ground Floor Plan
5.2 FIrst Floor Plan
5.3 Roof Plan
6.0 Columns and Beams Calculation
6.1 Tay Jit Ying
6.2 Tang Wei XIn
6.3 Ng Yi Yang
3.0 Quantity Life and Dead Loads Acting On Structure
Density of MaterialsRC Concrete = 24kN/m3Brick Wall = 19kN/m3
Dead Load FactorWall = Height x Thickness x Density of Brick Wall
= 3.0m x 0.15 m x 19kN/m3= 8.55kN/m
Columns = Height x Size x Density of RC Concrete= 3.0m x (0.3m x 0.3m) x 24kN/m3= 6.48kN
Beams = Size of beams x Density of RC Concrete = (0.2m x 0.3m) x 24kN/m3
= 1.44kN/mFloor Slabs = Thickness of floor slabs x Density of RC Concrete
= 0.15m x 24kN/m3= 3.6 kN/m2
Live Load Factor
Entrance = 1.5
Living Room = 4.0
Reading Room = 3.0
Study Area = 1.5
Corridor = 4.0
Family Area = 2.0
Dining = 2 0
Wet kitchen = 3.0
Kitchen = 3.0
Bedroom = 1.5
Storeroom = 2.5
Laundry room = 3.0
Toilet = 2.0
Stairs = 1.5
Roof = 0.5
6.1 COLUMNS AND BEAMS CALCULATIONby Tay Jit Ying
Ground floor beam G/4-6Ground floor beam 6/F-J
Columns G1Columns G3Columns G4
Ground Floor Plan
First floor beam J/3-7First floor beam 7/I-KFirst floor beam G/7-9First floor beam 7/F-I
First Floor Plan
Beam G/4-6
Dead Load
Beam Self Weight
=0.2mx0.2mx24kN/m3
=1.44kN/m
Slab E-G/3-6 Self Weight
=(0.15mx24kN/m3) X 2.25m/2
=4.05kN/m
Slab G-J/4-6 Self Weight
=(0.15mx24kN/m3) X 2.5m/2
=4.5kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3=8.55kN/m
Total Dead Load
G/4-6=18.54kN/m
Ultimate Load
Ultimate Dead Load G/4-6 = 18.54 x 1.4
= 25.956kN/m
Ultimate Live Load G/4-6 = 9 x 1.6
= 14.4kN/m
Ultimate Load = 40.356kN/m
∑m = 0
9 = (Ra x 2.5) – (1.25 x 100.89) = 0
2.5Ra = 126.1125
Ra = 50.445kN/m
∑y = 0
50.445 – 100.89 + Rb = 0
Rb = 50.445
50.445 – (40.356 X 2.5) = –50.445
-50.445 + 50.445 = 0
Positive Area
i. 50.445 X 1.25 X ½ = 31.5281 – (1)Negative Area
ii. 50.445 X 1.25 X ½ = 31.5281 – (2)
(1) = (2)
Beam 6/F-J
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab F-J/4-6 Self Weight
= 0.15m x 24kN/m3) x 2.5m/2
= 4.5kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3=8.55kN/m
Total Dead Load
6/F-G = 9.9kN/m
6/G-J = 14.49kN/m
Live LoadSlab G-J/4-6 (Entrance)
=1.5kN/m2 X 2.5/2
=1.875kN/m
Ultimate Load
Ultimate Dead Load 6/F-G
= 9.9 X 1.4 = 13.86 kN/m
Ultimate Dead Load 6/G-J
= 14.49 X 1.4 = 20.286 kN/m
Ultimate Live Load 6/G-J
= 1.875 X 1.6 = 3 kN/m
Point Load of Beam G/4-6 = 50.445k/N
(previous question)
Ultimate Load 6/F-G = 13.86kN/m
Ultimate Load 6/G-J = 23.286kN/m
∑m = 0
(Ra X 6) – (13.86 X 5.5) – (50.445 X 5)
– (116.43 X 2.5) = 0
6Ra = 619.53
Ra = 103.255
∑y = 0
103.255 – 13.86 – 50.445 – 116.43 = Rb = 0
Rb = 77.48
103.255 – (13.86 X 1) = 89.395
89.395 – 50.445 = 38.95
38.95 – (5 X 23.286) = –77.48
–77.48 = 77.48 = 0
38.95/x = 77.48/(5–x)
116.43x = 195.75
x = 1.6727
Positive Area
i. (103.255 + 89.395) x 1 x ½ = 96.325
ii. 38.95 x 1.6727 x ½ = 32.5758
96.325 + 32.5758 = 128.9008 – (1)
Negative Area
iii. 3.3272 x 77.48 x ½
= 128.8996 – (2)
(1) = (2)
Beam J/3-7
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3=1.44kN/m
Slab F-J/3-7 Self Weight
=(0.15m x 24kN/m3) x 7m/2
=12.6kN/m
Slab J-K/3-7 Self Weight
=(0.15m x 24kN/m3) x 3/m2
=5.4kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
J/3-7 = 27.99kN/m
Live Load
Slab F-J/3-7 (Living)
=4.0kN/m2 x 7m/2
= 14 kN/m
Slab J-K/3-7 (Reading)
=3.0kN/m2 x 3/2 = 4.5kN/m
Total Live Load
= 18.5kN/m
Ultimate Load
Ultimate Dead Load J/3-7
= 27.99kN/m x 1.4 = 39.186 kN/m
Ultimate Live Load J/3-7
= 18.5kN/m x 1.6 = 29.6 kN/m
Ultimate Load = 68.786 kN/m
∑m = 0
(Ra x 7) – (3.5 x 481.502) = 0
7Ra = 1685.257
Ra = 240.751 kN
∑y = 0 240.751 – 482.502 + Rb = 0
Rb = 240.751kN
240.751 – (68.786 x 7) = -240.751
-240.751 + 240.751 = 0
Positive Area
i. 240.751 x 3.5 x ½ = 421.31 - (1)
Negative Area
ii. 240.751 x 3.5 x ½ = 421.31 – (2)
(1) = (2)
Beam 7/I-K
Dead Load
Beam Self Weight =0.2m x 0.3m x 24kN/m3=1.44kN/m
Slab F-J/3-7 Self Weight =(0.15m x 24kN/m3) x 6m/2 x 2/3 = 7.2kN/m
Brick Wall Self Weight=3.0m x 0.15m x 19kN/m3=8.55kN/m
Total Dead Load7/I-J =17.19kN/m7/J-K = 9.99kN/m
Live Load
Slab F-J/3-7 (Living)=4.0kN/m2 x 6m/2x 2/3= 8kN/m
Total Live Load =8kN/m
Ultimate Load
Ultimate Dead Load 7/I-J = 17.19 x 1.4 = 24.066kN/m
Ultimate Dead Load 7/J-K = 9.99 x 1.4 = 13.986kN/m
Ultimate Live Load 7/I-J = 8 x 1.6 = 12.8kN/m
Point Load of Beam J/3-7 = 240.751k/N
(previous question)
Ultimate Load I-J = 24.066 + 12.8 = 36.866kN/m
Ultimate Load J-K = 13.986kN/mPoint Load J/3-7 = 240.751kN/m
∑m = 0
(Ra x 5) – (73.732x4) – (240.751 x 3) –
(41.958 x 1.5) = 0
5Ra = 1080.118
Ra = 216.0236
∑y = 0
216.0236 – 73.732 – 240.751 – 41.958
+ Rb = 0
Rb= 140.4174
Positive Area
i. (216.0236 + 142.2916) x 2 x½ =358.3152– (1)
Negative Area
ii. (140.4174+98.4594) x 3 x ½ = 358.3152– (2)
(1) = (2)
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab B-G/7-9 Self Weight
= (0.15m x 24kN/m3) x 6m/2 x 2/3
=7.2kN/m
Slab G-I/7-9 Self Weight
=(0.15m x 24kN/m3) x 3m/2
=5.4kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
G/7-9 = 22.59kN/m
Live Load
Slab B-G/7-9 (Study)=1.5kn/m2 x 6m/2 x 2/3=3kN/m
Slab G-I/7-9 (Toilet)= 2.0kN/m x 3m/2=3kN/m
Total Live Load = 6kN/m
Ultimate Load
Ultimate Dead Load G/7-9 = 22.59 x 1.4 = 31.626kN/m
Ultimate Live Load G7/9 = 6 x 1.6 = 9.6kN/m
Ultimate Load = 41.226kN/m
∑m = 0(Rax6) – (3x247.356) = 06Ra = 742.068Ra = 123.678 ∑y = 0123.678 – 247.356 + Rb = 0Rb = 123.678
123.678 – (41.226x6) = -123.678-123.678 + 123.678 = 0
Positive Area
i. 123.678 x 3 x ½ = 185.51 –(1)
Negative Area
ii. 123.678 x 3 x ½ = 185.517 – (2)
(1) = (2)
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3=1.44kN/m
Slab B-G/7-9 Self Weight
=(0.15m x 24kN/m3) x 6m/2 x 2/3
=7.2kN/m
Slab F-J/3-7 Self Weight
=(0.15m x 24kN/m3) x 6m/2 x 2/3
=7.2kN/m
Slab G-I/7-9
=(0.15 x 24kN/m3) x 3m/2 x 2/3
= 3.6kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3=8.55kN/m
Total Dead Load
7/F-G = 24.39kN/m
7/G-I = 20.79kN/m
Live Load
Slab B-G/7-9(Study)
= 1.5kN/m x 6m/2 x 2/3
=3
Slab F-J/3-7 (Living)
= 4kN/m x 6m/2 x 2/3
=8
Slab G-I/7-9
=2kN/m x 3m/2 x 2/3
= 2
Total Live Load
7/F-G = 11kN/m
7/G-I = 10kN/m
Ultimate Load
Ultimate Dead Load 7/FG = 24.39 x 1.4
= 34.146kN/m
Ultimate Dead Load 7/GI = 20.79 x 1.4
= 29.106kN/m
Ultimate Live Load 7/FG = 11x 1.6
=17.6kN/m
Ultimate Live Load 7/GI = 10 x 1.6
=16kN/m
Point Load of Beam G/7-9 = 123.678k/N
(previous question)
Ultimate Load 7/FG = 51.746
Ultimate Load 7/GI = 45.106
Point Load G/7-9 = 123.678k/N
∑m = 0(Ra x 4) – (51.746 x 3.5) – (123.678 x 3) – (135.318 x 1.5 ) = 0
4Ra = 755.122
Ra = 188.7805
∑y = 0188.7805 – 51.746 – 123.678 – 135.318 + Rb = 0
Rb = 121.9615
13.3565/x = 121.9615/3-x
135.318x = 40.0695
X = 0.2961
Positive Areai. (188.7805 + 137.0345 ) x ½ x 1 = 162.9075ii. 13.3565 x 0.291 x ½ = 1.9434Total = 164.8509 ~ 165 – (1)
Negative Areaiii. 2.709 x 121.9615 x ½ = 165.1968 ~ 165 -- (2)
Column G1
Roof LevelDead load
Slab : (3.2m x 4.5m) x 3.6kN/m2
= 51.84kN
Beam : 4.5 x 1.44
= 6.48kN
Total : 51.84 + 6.48
= 58.32kN
Live Load
Slab: (3.2 x 4.5) x 0.5kN/m
= 7.2kN
First Floor LevelDead load
Walls: (0.75 + 1.25 + 1 + 1)m + 3kN/m
= 7 x 8.55
= 59.85kN
Slabs: (4 x 3.2)m x 3.6kN/m2
= 46.08kN
Beams: 7m x 1.44kN/m
= 10.08kN
Column : 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN
Total : 122.49kN
Live LoadBedroom : (3.2 x 4)m x 1.5kN/m2 = 19.2kN
Ground Floor Level
Dead LoadWalls: 7.1m x 8.55 = 60.705kN
Slabs: [1.6 x (0.75+1.25+1+2.5)] x 3.6 = 31.68kNBeams: (0.75+1.25+1+2.5) + (1.6 x 1.44) = 10.224kNTotal : 109.089kN
Live LoadBedroom : 3 x 1.6 x 1.5 = 7.2kNCorridor : (2.5 x 1.6) x 4 = 16kNTotal = 16 + 7.2 = 23.2kN
Ultimate Dead Load(58.32+122.49+109.89) x 1.4 = 405.8586kN
Ultimate Live Load(19.2 + 23.2 + 7.2) x 1.6 = 79.36
Ultimate Load = 405.8586 + 79.36 = 485.2186
Column G3
Roof Level
Dead Load
Slab: (4.5 x 6.3)m x 3.6kN/m2
= 102.06kN
Beam: 4.5m x 1.44kN/m
= 6.48kN
Total: 108.54kN
Live Load
Slab: (4.5 x 6.3)m x 0.5kN/m
= 14.175kN
First Floor Level
Dead Load
Walls: 10.3m x 8.55kN/m
= 88.065kN
Slabs: (2.8 x 4.5) x 3.6kN/m2
= 45.36kN
Beams: 10.3m x 1.44kN/m
= 14.832kN
Column: 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
Total: 154.737kN
Live Load
Bedroom: (2.8m x 4m) x 1.5kN/m2 = 16.8kN
Corridor: (0.5m x 3m) x 4kN/m2 = 6kN
Washroom: (3.5m x 2m) x 2kN/m2 = 14kN
Living Room: (2.5m x 3.5m) x 2kN/m2 = 8.75kN
Total: 45.55kN
Ultimate Dead Load
(22.68 + 154.737)
= 177.417 x 1.4
= 248.3838kN
Ultimate Live Load
(45.55 + 14.175) x 1.6
= 95.56
Ultimate Load = 343.9438kN
Column G1
Ground Floor Level Dead Load
Walls: 11.5m x 8.55kN/m
= 98.325kN
Slabs: (3.75 x 5.5)m x 3.6kN/m2
= 74.25kN
Beams: 11.5m x 1.44kN/m
= 16.56kN
Column: 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN
Total: 195.615kN
Live Load
Dining: [(0.75+1.25+1) x 2.5] x 2
= 15kNLiving: (2.5 x 2.5) x 4
=20kN
Entrance: (1.25 x 2.5) x 1.5
= 4.6875kN
Total: 39.6875kN
Ultimate Dead Load
195.615 x 1.4 = 273.861kN
Ultimate Live Load
39.6875 x 1.6 = 63.5
Ultimate Load = 337.361kN
6.2 COLUMNS AND BEAMS CALCULATIONby Tang Wei Xin
Ground floor beam H/1-3Ground floor beam G-I/3Ground floor beam B-F/5Ground floor beam B/3-7Ground floor beam F/3-7Ground floor beam B-H/3 Columns B1Columns J4Columns F7
Beam H/1-3
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab B-H/1-3 Self Weight
= (0.15m x 24kN/m3) x 6m/2 x 2/3
=7.2kN/m
Slab H-I/1-3 Self Weight
= (0.15m x 24kN/m3) x 2m/2
=3.6kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load = 20.79kN/m
Live Load
Slab B-H/1-3 (Bedroom)
=1.5kN/m2 x 6m/2 x 2/3
=3kN/m
Slab H-I/1-3 (Corridor)
=4.0kN/m2 x 2m/2
=4.0kN/m
Total Live Load
=7kN/m
Ultimate Load
Ultimate Dead Load = 20.79 x 1.4 = 29.106kN/m
Ultimate Live Load = 7.0 x 1.6 = 11.2kN/m
Ultimate Load = 40.31kN/m
∑m = 0
(Ra x 6) – (40.31 x 6) x 3 = 0
6Ra = 725.58
Ra = 120.93kN
∑y = 0
120.93 – (40.31 x 6) + Rb = 0
Rb = 120.93kN
Positive Area
i. 120.93 x 3 x ½
= 181.4 – (1)
Negative Area
ii. 120.93 x 3 x ½
= 181.4 – (2)
(1) = (2)
Beam G-I/3
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab B-H/1-3 Self Weight
= (0.15m x 24kN/m3) x 6m/2
=10.8kN/m
Slab F-J/3-7 Self Weight
= (0.15m x 24kN/m3) x 6m/2 x 2/3
=7.2kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
G-H/3 = 20.79kN/m
H-I/3 = 8.64kN/m
Live Load
Slab B-H/1-3 (Bedroom)
=1.5kN/m2 x 6m/2
=4.5kN/m
Slab F-J/3-7 (Living Room)
=4.0kN/m2 x 6m/2 x 2/3
=8kN/m
Total Live Load
G-H/3 = 4.5kN/m
H-I/3 = 8kN/m
Ultimate Load
Ultimate Dead Load G-H/3 = 20.79 x 1.4 = 29.11kN/m
Ultimate Dead Load H-I/3 = 8.64 x 1.4 = 12.1kN/m
Ultimate Live Load G-H/3 = 4.5 x 1.6 = 7.2kN/m
Ultimate Live Load H-I/3 = 8 x 1.6 = 12.8kN/m
Ultimate Load G-H/3 = 36.31kN/m
Ultimate Load H-I/3 = 24.9kN/m
Point Load G-H/3 = 120.93kN/m
∑m = 0
(Ra x 3) – (36.31 x 1) x 2.5 – (24.9 x 2) x 1 – (120.93 x 2) = 0
3Ra = 382.44
Ra = 127.48kN
∑y = 0
Rb + 127.48 – (36.31 x 1) - (24.9 x 2) – 120.93 = 0
Rb = 79.56kN
Positive Area
i. (127.48 + 91.17) x 1 x ½ = 109.33 – (1)
Negative Area
ii. (29.76 + 79.56) x 2 x ½ = 109.33 – (2)
(1) = (2)
Beam B-F/5
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab B-F/3-5 Self Weight
= (0.15m x 24kN/m3) x 4m/2
=7.2kN/m
Slab B-F/5-7 Self Weight
= (0.15m x 24kN/m3) x 3m/2
=5.4kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
=22.59kN/m
Live Load
Slab B-F/3-5 (Washroom)
=2.0kN/m2 x 4m/2
=4kN/m
Slab B-F/5-7 (Corridor)
=4.0kN/m2 x 3m/2
=6kN/m
Total Live Load
=10kN/m
Ultimate Load
Ultimate Dead Load = 22.59 x 1.4 = 31.63kN/m
Ultimate Live Load 10kN/m x 1.6 = 16kN/m
Ultimate Load = 47.63kN/m
∑m = 0
(Ra x 5) – (47.63 x5) x 2.5 = 0
Ra = 119.075kN
∑y = 0
119.075 – (47.63 x 5) + Rb = 0
Rb = 119.075kN
Positive Area
i. 119.075 x 2.5 x ½ = 148.84 – (1)
Negative Area
ii. 119.075 x 2.5 x ½ = 148.84 – (2)
(1) = (2)
Beam B/3-7
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab A-B/ 3-7 Self Weight
= (0.15m x 24kN/m3) x 4m/2
=7.2kN/m
Slab B-F/3-5 Self Weight
= (0.15m x 24kN/m3) x 4m/2 x 2/3
=4.8kN/m
Slab B-F/5-7 Self Weight
= (0.15m x 24kN/m3) x 3m/2 x 2/3
=3.6kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
B/3-5 = 21.99kN/m
B/5-7 = 20.79kN/m
Live Load
Slab A-B/3-7 (Bedroom)
=1.5kN/m2 x 4m/2
=3kN/m
Slab B-F/3-5 (Washroom)
=2.0kN/m2 x 4m/2 x 2/3
=2.67kN/m
Slab B-F/5-7 (Corridor)
=4kN/m2 x 3m/2 x 2/3
=4kN/m
Total Live Load
B/3-5 = 5.67kN/m
B/5-7 = 7kN/m
Ultimate Load
Ultimate Dead Load B/3-5 = 21.99 x 1.4 = 30.79kN/m
Ultimate Dead Load B/5-7 = 20.79 x 1.4 = 29.11kN/m
Ultimate Live Load B/3-5 = 5.67 x 1.6 = 9.072kN/m
Ultimate Live Load B/5-7 = 7 x 1.6 = 11.2kN/m
Ultimate Load B/3-5 = 39.862kN/m
Ultimate Load B/5-7 = 40.31kN/m
Point Load B/3-7 = 119.075kN/m
∑m = 0
(Ra x 7) – (39.862 x 4) – (40.31 x 3) x 1.5
– (119.075 x 3) = 0
Ra = 1335.88
Ra = 190.84kN
∑y = 0
190.84 – (39.862 x 4) – (40.31 x 3)
– 119.075 + Rb = 0
Rb = 208.613kN
Positive Area
i. (31.392 + 190.84) x 4 x ½ = 444.46 – (1)
Negative Area
ii. (208.613 + 87.683) x 3 x ½ = 444.46 – (2)
(1) = (2)
Beam F/3-7
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab A-B/ 3-7 Self Weight
= (0.15m x 24kN/m3) x 4m/2 x 2/3
=4.8kN/m
Slab B-F/5-7 Self Weight
= (0.15m x 24kN/m3) x 3m/2 x 2/3
=3.6kN/m
Slab F-J/3-7 Self Weight
= (0.15m x 24kN/m3) x 6m/2
=10.8kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
F/3-5 = 25.59kN/m
F/5-7 = 15.84kN/m
Live Load
Slab B-F/3-5 (Washroom)
=2.0kN/m2 x 4m/2 x 2/3
=2.67kN/m
Slab B-F/5-7 (Corridor)
=3.6kN/m2 x 3m/2 x 2/3
=3.6kN/m
Slab F-J/3-7 (Living room)
=4kN/m2 x 6m/2
=12kN/m
Total Live Load
F/3-5 = 14.67kN/m
F/5-7 = 15.6kN/m
Ultimate Load
Ultimate Dead Load F/3-5 = 25.59 x 1.4
= 35.826kN/m
Ultimate Dead Load F/5-7 = 15.84 x 1.4
= 22.176kN/m
Ultimate Live Load F/3-5 = 14.67 x 1.6 = 23.472kN/m
Ultimate Live Load F/5-7 = 15.6 x 1.6 = 24.96kN/m
Ultimate Load F/3-5 = 59.298kN/m
Ultimate Load F/5-7 = 47.136kN/m
Point Load F/5 = 119.075kN/m
∑m = 0
(Ra x 7) – (59.298 x 4) x 5 – (119.075 x 3)
– (47.136 x 3) x 1.5 = 0
Ra = 250.756kN
∑y = 0
250.756 – (59.298 x 4) – (47.136 x 3) – 119.075
+ Rb = 0
Rb = 246.919kN
Positive Area
i. (13.564 + 250.756) x 4 x ½ = 528.64 – (1)
Negative Area
ii. (246.919 + 105.511) x 3 x ½ = 528.64 – (2)
(1) = (2)
Beam B-H/3
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24 kN/m3
=1.44kN/m
Slab B-H/ 1-3 Self Weight
= (0.15m x 24 kN/m3) x 6m/2
=10.8kN/m
Slab B-F/3-5 Self Weight
= (0.15m x 24 kN/m3) x 4m/2
=7.2kN/m
Slab F-H/3-7 Self Weight
= (0.15m x 24kN/m3) x 6m/2 x 2/3
=7.2kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
B-F/3 = 27.99kN/m
F-H/3 = 27.99kN/m
Live Load
Slab B-H/1-3 (Bedroom)
=1.5kN/m2 x 6m/2
=4.5kN/m
Slab B-F/3-5 (Washroom)
=2kN/m2 x 4m/2
=4kN/m
Slab F-H/3-7 (Living room)
=4kN/m2 x 6m/2 x 2/3
=8kN/m
Total Live Load
B-F/3 = 8.5kN/m
F-H/3 = 12kN/m
Ultimate Load
Ultimate Dead Load B-F/3 = 27.99 x 1.4
= 39.186kN/m
Ultimate Dead Load F-H/3 = 27.99 x 1.4
= 39.186kN/m
Ultimate Live Load B-F/3 = 8.5 x 1.6
= 13.6kN/m
Ultimate Live Load F-H/3 = 12 x 1.6
= 19.2kN/m
Ultimate Load B-F/3 = 52.786kN/m
Ultimate Load F-H/3 = 58.386kN/m
Point Load F/3 = 250.756kN/m
∑m = 0
(Ra x 7) – (52.786 x 5) x 4.5 – (250.756 x 2)
– (58.386 x 2) x 1 = 0
Ra = 258 kN
∑y = 0
258 – (52.786 x 5) – 250.756 – (58.386 x 2)
+ Rb = 0
Rb = 373.458kN
258: 5.93 = 5 – a: a
29.65 – 5.93a = 258a
263.93a = 29.65
a = 0.11
Positive Area
i. 258 x (5 - 0.11) x ½ = 631– (1)
Negative Area
ii. (373.458 + 256.686) x 2 x ½
+ (0.11 x 5.96 x 1/2)= 631 – (2)
(1) = (2)
Column B1
Roof Level
Dead Load
Slab : (3 x 3) x (0.15 x 24 kN/m2)= 32.4kN
Beam : (3 x 3)m x 1.44kN/m=12.96kN
Total : 45.36kN
Live Load
Slab : (3 x 3) x 0.5kN/m= 4.5kN
First Floor Level
Dead Load
Walls : (3 + 3)m x 8.55kN/m=76.95kN
Slabs : (2 x 3)m + (3 x 3)m x 3.6kN/m2= 54 kN
Beams : (3 + 3 + 2))m x 1.44kN/m= 11.52kN
Column : 0.3m x 0.3m x 3.0m x 24 kN/m3= 6.48kN
Total : 148.95kN
Live Load
Bedroom : (3.3m x 3.0m) x 1.5kN/m2= 13.5kN
Total : 13.5kN
Ground FLoor Level
Dead Load
Walls : (2 + 1.5 + 1 + 0.5 + 3.2 + 3.5/2)m x 8.55kN/m= 85.0725kN
Slabs : (3.2m x 5m) x 3.6kN/m2)= 57.6kN
Beams : 9.95m x 1.44kN/m= 14.328kN
Column : 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN
Total : 163.48kN
Live Load
Wet Kitchen : (3,2m x 3.5m) x 3.0kN/m= 33.6kN
Bedroom : (3.2m x 1.5m) x 1.5kN/m2= 7.2kN
Total : 40.8kN
Ultimate Dead Load(45.36 + 148.95 + 163.48) x 1.4 = 500.906kN
Ultimate Live Load(13.5 + 40.8)) x 1.6 = 94.08kN
Ultimate Load = 594.986kN
Column J4
Ground Floor Level
Dead Load
Walls : (1.25 + 2.5 + 2.5 + 1.5 + 1.5/2)m x 8.55kN/m=72.675kN
Slabs : (3.75m x 4m) x 3.6kN/m2= 54 kN
Beams : (1.25 + 2.5 + 2.5 + 1.5 + 1.5/2)m x 1.44kN/m= 12.24kN
Column : 0.3m x 0.3m x 3.0m x 24 kN/m3= 6.48kN
Total : 145.395kN
Live Load
Entrance : (1.25m x 2.5m) x 1.5kN/m2= 4.688 kN
Living room : (2.5m x 2.5m) x 4 kN/m2= 25 kN
Corridor : (1.5m x 3.75m) x 4 kN/m2= 22.5 kN
Total : 52.188kN
Ultimate Dead Load145.395kN x 1.4 = 203.553kN
Ultimate Live Load52.188 x 1.6 = 83.5kN
Ultimate Load = 287.053kN
Column F7
Roof Level
Dead Load
Slabs : (6.5m x 4.5m) x 3.6kN/m2= 105.3 kN
Beams : 4.5 m x 1.44kN/m= 6.48 kN
Total : 111.78 kN
Live Load
Roof: (6.5 x 4.5) x 0.5 kN/m2= 14.625 kN
First Floor Level
Dead Load
Walls : (2 + 2 + 3)m x 8.55kN/m=59.85 kN
Slabs : (6.5m x 4.5m) x 3.6kN/m2= 105.3 kN
Beams : (2 +2 + 3 +3 )m x 1.44kN/m= 14.4 kN
Column : 0.3m x 0.3m x 3.0m x 24 kN/m3= 6.48kN
Total : 186.03kN
Live Load
Study area : (3m x 3.5m) x 1.5kN/m2= 15.75 kN
Washroom : (3m x 1m) x 2 kN/m2= 6 kN
Corridor : (2m x 3.5m) x 4 kN/m2= 28 kN
Living area : (3.5m x 2m) x 4 kN/m2= 28 kN
Total : 77.75 kN
Ultimate Dead Load(111.78 + 186.03)kN x 1.4 = 416.935 kN
Ultimate Live Load(77.75 + 14.625) x 1.6 = 147.8 kN
Ultimate Load = 564.734kN
6.3 COLUMNS AND BEAMS CALCULATIONby Ng Yi Yang
Ground floor beam 2/A-CGround floor beam C/1-3Ground floor beam E/3-6Ground floor beam C/6-8Ground floor beam 6/B-FGround floor beam 8/B-F
Columns B3Columns F6Columns B9
Beam 2/A-C
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab A-C/1-2 Self Weight
=(0.15m x 24kN/m3) x 3.2m/2
=5.76kN/m
Slab A-C/2-3 Self Weight
=(0.15m x 24kN/m3) x 2.8m/2
=5.04kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
2/A-B = 21.09kN/m
2/B-C = 12.24kN/m
Live Load
Slab A-C/1-2 (Wet Kitchen)
=3.0kN/m2 x 3.2m/2
=4.8kN/m
Slab A-C/2-3 (Dry Kitchen)
=3.0kN/m2 x 2.8m/2
=4.2kN/m
Total Live Load
=9.0kN/m
Ultimate Load
Ultimate Dead Load 2/A-B
= 20.79 x 1.4 = 29.106kN/m
Ultimate Dead Load 2/B-C
= 12.24 x 1.4 = 17.136kN/m
Ultimate Live Load 2/A-C
= 9.0 x 1.6 = 14.4kN/m
Ultimate Load 2/A-B = 43.506kN/m
Ultimate Load 2/B-C = 31.536kN/m
∑m = 0
(Ra x 5.5) – (174.024 x 3.5) – (47.304 x 0.75)
= 0
5.5Ra = 644.478
Ra = 117.178kN
∑y = 0
117.178 – 174.024 – 47.304 + Rb = 0
Rb = 104.15kN
117.178/(4 - )x = 56.846/x
174.024x = 227.384
X = 1.307
Positive Area
i. (4.0 – 1.307) x 117.178 x ½
= 158 – (1)
Negative Area
ii. [ (1.307 x 56.846) x ½ ] +
[ (56.846 + 104.15) x 1.5 x ½
= 157.896 ~ 158 – (2)
(1) = (2)
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab A-C/1-2 Self Weight
=(0.15m x 24kN/m3) x 3.2m/2 x 2/3
=3.84kN/m
Slab A-C/2-3 Self Weight
=(0.15m x 24kN/m3) x 2.8m/2 x 2/3
=3.36kN/m
Slab C-G/1-3 Self Weight
=(0.15m x 24kN/m3) x 4.5m/2
=8.1kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
C/1-2 = 21.93kN/m
C/2-3 = 21.45kN/m
Live Load
Slab A-C/1-2 (Wet Kitchen)
=3.0kN/m2 x 3.2m/2 x 2/3
=3.2kN/m
Slab A-C/2-3 (Dry Kitchen)
=3.0kN/m2 x 2.8m/2 x 2/3
=2.5kN/m
Slab C-F/6-8 (Storeroom)
=1.5kN/m2 x 4.5m/2
=3.375kN/m
Total Live Load
C/1-2 = 6.575kN/m
C/2-3 = 6.175kN/m
Ultimate Load
Ultimate Dead Load C/1-2 = 21.93 x 1.4
= 30.702kN/m
Ultimate Dead Load C/2-3 = 21.45 x 1.4
= 30.03kN/m
Ultimate Live Load C/1-2 = 6.575 x 1.6
= 10.52kN/m
Ultimate Live Load C/2-3 = 6.175 x 1.6
= 9.88kN/m
Point Load from beam 2/A-C = 104.15kN/m
Ultimate Load C/1-2 = 41.222kN/m
Ultimate Load C/2-3 = 39.91kN/m
Point Load 2/A-C = 104.15kN/m
∑m = 0
(Ra x 6) – (131.910 x 4.4) –
(104.15 x 2.8) – (83.748 x 1.4) = 0
6Ra = 989.273
Ra = 164.879kN
∑y = 0
164.879 – 131.910 –
104.15 – 83.748 + Rb = 0
Rb = 154.929kN
Positive Area
i. (164.879 + 32.969) x 3.2 x ½
= 316.557 ~ 316 – (1)
Negative Area
ii. (71.181 + 154.929) x 2.8 x ½
= 316.555 ~ 316 – (2)
(1) = (2)
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab B-E/3-6 Self Weight
=(0.15m x 24kN/m3) x 3.75m/2
=6.75kN/m
Slab E-G/3-6 Self Weight
=(0.15m x 24kN/m3) x 2.25m/2
=4.05kN/m
Total Dead Load
=12.24kN/m
Live Load
Slab B-E/3-6 (Dining)
=2.0kN/m2 x 3.75m/2
=3.75kN/m
Slab E-G/3-6 (Dining)
=2.0kN/m2 x 2.25m/2
=2.25kN/m
Total Live Load
=6kN/m
Ultimate Load
Ultimate Dead Load = 12.24 x 1.4
= 17.136kN/m
Ultimate Live Load 6kN/m x 1.6
= 9.6kN/m
Ultimate Load = 26.736kN/m
∑m = 0
(Ra x 5) – (2.5 x 133.68) = 0
5Ra = 334.2
Ra = 66.84kN
∑y = 0
66.84 - 133.68 + Rb = 0
Rb = 66.84kN
Positive Area
i. 66.84 x 2.5 x ½ = 83.55 – (1)
Negative Area
ii. 66.84 x 2.5 x ½ = 83.55 – (2)
(1) = (2)
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab A-C/6-8 Self Weight
=(0.15m x 24kN/m3) x 4m/2 x 2/3
=4.8kN/m
Slab C-F/6-8 Self Weight
=(0.15m x 24kN/m3) x 3.5m/2
=6.3kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
=21.09kN/m
Live Load
Slab A-C/6-8 (Bedroom)
=1.5kN/m2 x 4m/2 x 2/3
=2kN/m
Slab C-F/6-8 (Storeroom)
=2.5kN/m2 x 3.5m/2
=4.375kN/m
Total Live Load
=6.375kN/m
Ultimate Load
Ultimate Dead Load = 21.09 x 1.4
= 29.526kN/m
Ultimate Live Load = 6.375 x 1.6
= 10.2kN/m
Ultimate Load = 39.726kN/m
∑m = 0
(Ra x 4) – (2 x 158.904) = 0
4Ra = 317.808
Ra = 79.452kN
∑y = 0
79.452 – 158.904 + Rb = 0
Rb = 79.452kN
Positive Area
i. 79.452 x2 x ½ = 79.452 – (1)
Negative Area
ii. 79.452 x2 x ½ = 79.452 – (2)
(1) = (2)
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab A-C/6-8 Self Weight
=(0.15m x 24kN/m3) x 4m/2
=7.2kN/m
Slab B-E/3-6 Self Weight
=(0.15m x 24kN/m3) x 3.75m/2 x 2/3
=4.5kN/m
Slab C-F/6-8 Self Weight
=(0.15m x 24kN/m3) x 3.5m/2 x 2/3
=4.2kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
6/B-C = 21.69kN/m
6/C-E = 18.69kN/m
6/E-F = 14.19kN/m
Live Load
Slab A-C/6-8 (Bedroom)
=1.5kN/m2 x 4m/2
=3kN/m
Slab B-E/3-6 (Dining)
=2.0kN/m2 x 3.75m/2 x 2/3
=2.5kN/m
Slab C-F/6-8 (Storeroom)
=2.5kN/m2 x 3.5m/2 x 2/3
=2.917kN/m
Total Live Load
6/B-C = 5.5kN/m
6/C-E = 5.417kN/m
6/E-F = 2.917kN/m
Ultimate Load
Ultimate Dead Load 6/B-C = 21.69 x 1.4
= 30.366kN/m
Ultimate Dead Load 6/C-E = 18.69 x 1.4
= 26.166kN/m
Ultimate Dead Load 6/E-F = 14.19 x 1.4
= 19.866kN/m
Ultimate Live Load 6/B-C = 5.5 x 1.6
= 8.8kN/m
Ultimate Live Load 6/C-E = 5.417 x 1.6
= 8.667kN/m
Ultimate Live Load 6/E-F = 2.917 x 1.6
= 4.667kN/m
Point Load from beam C/6-8 = 79.452kN
Point Load from beam E/3-6 = 66.84kN
Ultimate Load 6/B-C = 39.166kN/m
Ultimate Load 6/C-E = 34.833kN/m
Ultimate Load 6/E-F = 24.533kN/m
Point Load C/6-8 = 79.452kN
Point Load E/3-6 = 66.84kN
∑m = 0
(Ra x 5) – (58.749 x 4.25) – (79.452 x 3.5) –
(78.374 x 2.375) – (66.84 x 1.25) –
(30.666 x 0.625) = 0
5Ra = 816.619
Ra = 163.324kN
∑y = 0
163.324 – 58.749 – 79.374 –
78.374 - 66.84 – 30.666 + Rb = 0
Rb = 150.757kN
25.125/x = 53.251/(2.25-x)
78.376x = 56.531
x = 0.721
Positive Area
i. (163.324 + 104.575) x 1.5 x ½ = 200.924
ii. 25.125 x 0.721 x ½ = 9.058
Total = 209.982 ~ 210 – (1)
Negative Area
iii. 53.251 x (2.25 – 0.721) x ½ = 40.710
iv. (150.757 + 120.091) x 1.25 x ½ = 169.28
Total = 209.99 ~ 210 – (2)
(1) = (2)
Dead Load
Beam Self Weight
=0.2m x 0.3m x 24kN/m3
=1.44kN/m
Slab A-C/6-8 Self Weight
=(0.15m x 24kN/m3) x 4m/2
=7.2kN/m
Slab B-E/3-6 Self Weight
=(0.15m x 24kN/m3) x 3.5m/2 x 2/3
=4.2kN/m
Brick Wall Self Weight
=3.0m x 0.15m x 19kN/m3
=8.55kN/m
Total Dead Load
8/B-C = 14.79kN/m
8/C-F = 16.29kN/m
Live Load
Slab A-C/6-8 (Bedroom)
=1.5kN/m2 x 4m/2
=3.0kN/m
Slab C-F/6-8 (Storeroom)
=2.5kN/m2 x 3.5m/2 x 2/3
=2.917kN/m
Total Live Load
8/B-C = 3.0kN/m
8/C-F = 2.917kN/m
Ultimate Load
Ultimate Dead Load 8/B-C = 14.79 x 1.4
= 20.706kN/m
Ultimate Dead Load 8/C-F = 16.29 x 1.4
= 22.806kN/m
Ultimate Live Load 8/B-C = 3.0 x 1.6
= 4.8kN/m
Ultimate Live Load 8/C-F = 2.917 x 1.6
= 4.753kN/m
Point Load from beam C6/8 = 79.452kN
Ultimate Load 8/B-C = 99.869kN/m
Ultimate Load 8/C-F = 27.559kN/m
Point Load C/6-8 = 79.452kN
∑m = 0
(Ra x 5) – (149.804 x 4.25) –
(79.452 x 3.5) – (1.75 x 96.457) = 0
5Ra = 1083.549
Ra = 216.710kN
∑y = 0
216.71 - 149.804 - 79.452 - 96.457 + Rb = 0
Rb = 109.003kN
Positive Area
i. (66.906 + 216.710) x 1.5 x ½
= 212.712 ~ 212.71 – (1)
Negative Area
ii. (12.546 + 109.003) x 3.5 x ½
= 212.711 ~ 212.71 – (2)
(1) = (2)
Column B3
Roof Level
Dead Load
Slab : [ (6.3m x 5.0m) - (2.8m x 2.0m) ] x (0.15 x 24kN/m2)= 93.24kN
Beam : 8.0m x 1.44kN/m=11.52kN
Total : 104.76kN
Live Load
Slab : [ (6.3m x 5.0m) - (2.8m x 2.0m) ] x 0.5kN/m= 12.95kN
First Floor Level
Dead Load
Walls : 11.5m x 8.55kN/m=98.325kN
Slabs : (6.5m x 5m) x 3.6kN/m2)= 117kN
Beams : 11.5m x 1.44kN/m= 16.56kN
Column : 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN
Total : 238.365kN
Live Load
Bedroom : (3.5m x 2.0m) x 1.5kN/m2= 10.5kN
Bedroom : (3.0m x 3.0m) x 1.5kN/m2= 13.5kN
Toilet: (3.5m x 3m) x 2.0kN/m2= 21kN
Total : 45kN
Ground FLoor Level
Dead Load
Walls : 10.05m x 8.55kN/m= 85.9275kN
Slabs : (4.05m x 5m) x 3.6kN/m2)= 72.9kN
Beams : 10.8m x 1.44kN/m= 11.232kN
Column : 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN
Total : 176.54kN
Live Load
Laundry Room : (1.25m x 2m) x 3.0kN/m= 7.5kN
Dry Kitchen : (2.8m x 3.5m) x 3.0kN/m= 29.4kN
Bedroom : (2.8m x 1.5m) x 1.5kN/m2= 6.3kN
Dining : (1.25m x 3.0m) x 2.0kN/m2= 7.5kN
Total : 50.7kN
Ultimate Dead Load(104.76 + 238.365 + 176.54) x 1.4 = 727.531kN
Ultimate Live Load(12.95 + 45.0 + 50.7) x 1.6 = 173.84kN
Ultimate Load = 251.271kN
Column F6
Ground Floor Level
Dead Load
Walls : 8.0m x 8.55kN/m=68.4kN
Slabs : [ (3.25m x 6m) - (2.0m x 3.5m) ] x 3.6kN/m2)= 45kN
Beams : 10.5m x 1.44kN/m= 15.12kN
Column : 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN
Total : 135kN
Live Load
Storeroom : (2.0m x 2.5m) x 1.5kN/m2= 12.5kN
Dining : (1.25m x 2.25m) x 1.5kN/m2= 5.625kN
Dining : (1.25m x 1.25m) x 1.5kN/m2= 3.125kN
Entrance : (1.25m x 2.5m) x 1.5kN/m2= 4.6875
Total : 25.933kN
Ultimate Dead Load135kN x 1.4 = 189kN
Ultimate Live Load25.9325 x 1.6 = 41.492kN
Ultimate Load = 230.492kN
Column B9
Roof Level
Dead Load
Slabs : (4m x 3.5m) x 3.6kN/m2= 50.4kN
Beams : 4.5m x 1.44kN/m= 6.48kN
Total : 56.88kN
Live Load
Slabs : (4m x 3.5m) x 0.5= 7kN
First Floor Level
Dead Load
Walls : 5.5m x 8.55kN/m=64.125kN
Slabs : [ (3.0m x 4.5m) x 3.6kN/m2= 48.6kN
Beams : 5.5m x 1.44kN/m= 10.8kN
Column : 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN
Total : 130.005kN
Live Load
Bedroom : (3m x 2m) x 1.5kN/m2= 9kN
Study Area : (2.5m x 3.0m) x 1.5m= 11.25
Total : 20.25kN
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