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Final structure report

Tay Jit Ying, profile picture
Tay Jit Ying

This document provides details on the structural analysis of a double storey bungalow building. It includes floor plans, structural plans, load calculations, load distribution diagrams, and tributary area calculations. Dead and live loads acting on the structure are quantified. Beam and column calculations are presented for key structural elements, including determination of ultimate loads and checking of moment and shear forces. The analysis aids in understanding the building structure and ensuring safety under different loads and forces.

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STRUCTURAL ANALYSIS OF A BUNGALOW BUILDING STRUCTURES [BLD61003] PROJECT 2 Tay Jit Ying 0319002 Tan Wei Xin 0322731 Ng 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
1.0 FLOOR PLANS GROUND FLOOR PLAN SCALE 1 : 150
1.0 FLOOR PLANS FIRST FLOOR PLAN SCALE 1 : 150
1.0 FLOOR PLANS ROOF PLAN SCALE 1 : 150
2.0 STRUCTURAL PLANS FOUNDATION STRUCTURAL PLAN SCALE 1 : 150
2.0 STRUCTURAL PLANS GROUND FLOOR STRUCTURAL PLAN SCALE 1 : 150
2.0 STRUCTURAL PLANS FIRST FLOOR STRUCTURAL PLAN SCALE 1 : 150
2.0 STRUCTURAL PLANS ROOF STRUCTURAL PLAN SCALE 1 : 150
3.0 Quantity Life and Dead Loads Acting On Structure Density of Materials RC Concrete = 24kN/m3 Brick Wall = 19kN/m3 Dead Load Factor Wall = 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/m Floor 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
4.0 LOAD DISTRIBUTION DIAGRAM GROUND FLOOR PLAN SCALE 1 : 150
4.0 LOAD DISTRIBUTION DIAGRAM FIRST FLOOR PLAN SCALE 1 : 150
4.0 LOAD DISTRIBUTION DIAGRAM ROOF PLAN SCALE 1 : 150
5.0 TRIBUTARY AREA GROUND FLOOR PLAN SCALE 1 : 150
5.0 TRIBUTARY AREA FIRST FLOOR PLAN SCALE 1 : 150
5.0 TRIBUTARY AREA ROOF PLAN SCALE 1 : 150
6.1 COLUMNS AND BEAMS CALCULATION by Tay Jit Ying Ground floor beam G/4-6 Ground floor beam 6/F-J Columns G1 Columns G3 Columns G4 Ground Floor Plan
First floor beam J/3-7 First floor beam 7/I-K First floor beam G/7-9 First floor beam 7/F-I First Floor Plan
Beam G/4-6 Ground 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
Live Load Slab E-G/4-6 (Dining) =2.0kN/m2 x 2.25m/2 =9kN/m Total Live Load G/4-6 = 9kN/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 G/4-6 Ground Floor Plan
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 Load Slab 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)
First Floor Plan
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)
First Floor Plan
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 Load 7/I-J =17.19kN/m 7/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/m Point 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)
First Floor Plan
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) = 0 6Ra = 742.068 Ra = 123.678 ∑y = 0 123.678 – 247.356 + Rb = 0 Rb = 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)
First Floor Plan
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 = 0 188.7805 – 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 Area i. (188.7805 + 137.0345 ) x ½ x 1 = 162.9075 ii. 13.3565 x 0.291 x ½ = 1.9434 Total = 164.8509 ~ 165 – (1) Negative Area iii. 2.709 x 121.9615 x ½ = 165.1968 ~ 165 -- (2)
Column G1 Roof Level Dead 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 Level Dead 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 Load Bedroom : (3.2 x 4)m x 1.5kN/m2 = 19.2kN
Ground Floor Level Dead Load Walls: 7.1m x 8.55 = 60.705kN Slabs: [1.6 x (0.75+1.25+1+2.5)] x 3.6 = 31.68kN Beams: (0.75+1.25+1+2.5) + (1.6 x 1.44) = 10.224kN Total : 109.089kN Live Load Bedroom : 3 x 1.6 x 1.5 = 7.2kN Corridor : (2.5 x 1.6) x 4 = 16kN Total = 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 = 15kN Living: (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 CALCULATION by Tang Wei Xin Ground floor beam H/1-3 Ground floor beam G-I/3 Ground floor beam B-F/5 Ground floor beam B/3-7 Ground floor beam F/3-7 Ground floor beam B-H/3 Columns B1 Columns J4 Columns F7
Final structure report
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)
Final structure report
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)
Final structure report
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)
Final structure report
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)
Final structure report
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)
Final structure report
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 Load 145.395kN x 1.4 = 203.553kN Ultimate Live Load 52.188 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 CALCULATION by Ng Yi Yang Ground floor beam 2/A-C Ground floor beam C/1-3 Ground floor beam E/3-6 Ground floor beam C/6-8 Ground floor beam 6/B-F Ground floor beam 8/B-F Columns B3 Columns F6 Columns B9
Beam 2/A-C
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)
Beam C/1-3
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)
Beam E/3-6
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)
Beam C/6-8
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)
Beam 6/B-F
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)
Beam 8/B-F
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 Load 135kN x 1.4 = 189kN Ultimate Live Load 25.9325 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
Ground Floor Level Dead Load Column : 0.3m x 0.3m x 3.0m x 24kN/m3 = 6.48kN Ultimate Dead Load (56.88 + 130.005 + 6.48) x 1.4 = 270.711kN Ultimate Live Load 20.25 x 1.6 = 32.4kN Ultimate Load = 303.111kN

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Final structure report

  • 1. STRUCTURAL ANALYSIS OF A BUNGALOW BUILDING STRUCTURES [BLD61003] PROJECT 2 Tay Jit Ying 0319002 Tan Wei Xin 0322731 Ng Yi Yang 0319688
  • 2. 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.
  • 3. 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
  • 4. 1.0 FLOOR PLANS GROUND FLOOR PLAN SCALE 1 : 150
  • 5. 1.0 FLOOR PLANS FIRST FLOOR PLAN SCALE 1 : 150
  • 6. 1.0 FLOOR PLANS ROOF PLAN SCALE 1 : 150
  • 7. 2.0 STRUCTURAL PLANS FOUNDATION STRUCTURAL PLAN SCALE 1 : 150
  • 8. 2.0 STRUCTURAL PLANS GROUND FLOOR STRUCTURAL PLAN SCALE 1 : 150
  • 9. 2.0 STRUCTURAL PLANS FIRST FLOOR STRUCTURAL PLAN SCALE 1 : 150
  • 10. 2.0 STRUCTURAL PLANS ROOF STRUCTURAL PLAN SCALE 1 : 150
  • 11. 3.0 Quantity Life and Dead Loads Acting On Structure Density of Materials RC Concrete = 24kN/m3 Brick Wall = 19kN/m3 Dead Load Factor Wall = 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/m Floor 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
  • 12. 4.0 LOAD DISTRIBUTION DIAGRAM GROUND FLOOR PLAN SCALE 1 : 150
  • 13. 4.0 LOAD DISTRIBUTION DIAGRAM FIRST FLOOR PLAN SCALE 1 : 150
  • 14. 4.0 LOAD DISTRIBUTION DIAGRAM ROOF PLAN SCALE 1 : 150
  • 15. 5.0 TRIBUTARY AREA GROUND FLOOR PLAN SCALE 1 : 150
  • 16. 5.0 TRIBUTARY AREA FIRST FLOOR PLAN SCALE 1 : 150
  • 17. 5.0 TRIBUTARY AREA ROOF PLAN SCALE 1 : 150
  • 18. 6.1 COLUMNS AND BEAMS CALCULATION by Tay Jit Ying Ground floor beam G/4-6 Ground floor beam 6/F-J Columns G1 Columns G3 Columns G4 Ground Floor Plan
  • 19. First floor beam J/3-7 First floor beam 7/I-K First floor beam G/7-9 First floor beam 7/F-I First Floor Plan
  • 21. 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
  • 22. Live Load Slab E-G/4-6 (Dining) =2.0kN/m2 x 2.25m/2 =9kN/m Total Live Load G/4-6 = 9kN/m
  • 23. 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
  • 24. ∑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)
  • 26. 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 Load Slab G-J/4-6 (Entrance) =1.5kN/m2 X 2.5/2 =1.875kN/m
  • 27. 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
  • 28. ∑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)
  • 30. 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
  • 31. 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
  • 32. 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
  • 33. ∑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)
  • 35. 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 Load 7/I-J =17.19kN/m 7/J-K = 9.99kN/m
  • 36. 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/m Point Load J/3-7 = 240.751kN/m
  • 37. ∑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)
  • 39. 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
  • 40. 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
  • 41. ∑m = 0 (Rax6) – (3x247.356) = 0 6Ra = 742.068 Ra = 123.678 ∑y = 0 123.678 – 247.356 + Rb = 0 Rb = 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)
  • 43. 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
  • 44. 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
  • 45. 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
  • 46. ∑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 = 0 188.7805 – 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 Area i. (188.7805 + 137.0345 ) x ½ x 1 = 162.9075 ii. 13.3565 x 0.291 x ½ = 1.9434 Total = 164.8509 ~ 165 – (1) Negative Area iii. 2.709 x 121.9615 x ½ = 165.1968 ~ 165 -- (2)
  • 47. Column G1 Roof Level Dead 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 Level Dead 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 Load Bedroom : (3.2 x 4)m x 1.5kN/m2 = 19.2kN
  • 48. Ground Floor Level Dead Load Walls: 7.1m x 8.55 = 60.705kN Slabs: [1.6 x (0.75+1.25+1+2.5)] x 3.6 = 31.68kN Beams: (0.75+1.25+1+2.5) + (1.6 x 1.44) = 10.224kN Total : 109.089kN Live Load Bedroom : 3 x 1.6 x 1.5 = 7.2kN Corridor : (2.5 x 1.6) x 4 = 16kN Total = 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
  • 49. 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
  • 50. 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
  • 51. 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 = 15kN Living: (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
  • 52. 6.2 COLUMNS AND BEAMS CALCULATION by Tang Wei Xin Ground floor beam H/1-3 Ground floor beam G-I/3 Ground floor beam B-F/5 Ground floor beam B/3-7 Ground floor beam F/3-7 Ground floor beam B-H/3 Columns B1 Columns J4 Columns F7
  • 54. 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
  • 55. 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
  • 56. ∑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)
  • 58. 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
  • 59. 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
  • 60. 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
  • 61. ∑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)
  • 63. 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
  • 64. 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
  • 65. ∑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)
  • 67. 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
  • 68. 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
  • 69. 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
  • 70. ∑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)
  • 72. 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
  • 73. 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
  • 74. 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
  • 75. ∑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)
  • 77. 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
  • 78. 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
  • 79. 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
  • 80. ∑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)
  • 81. 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
  • 82. 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
  • 83. 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 Load 145.395kN x 1.4 = 203.553kN Ultimate Live Load 52.188 x 1.6 = 83.5kN Ultimate Load = 287.053kN
  • 84. 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
  • 85. 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
  • 86. 6.3 COLUMNS AND BEAMS CALCULATION by Ng Yi Yang Ground floor beam 2/A-C Ground floor beam C/1-3 Ground floor beam E/3-6 Ground floor beam C/6-8 Ground floor beam 6/B-F Ground floor beam 8/B-F Columns B3 Columns F6 Columns B9
  • 88. 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
  • 89. 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
  • 90. 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
  • 91. ∑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)
  • 93. 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
  • 94. 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
  • 95. 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
  • 96. ∑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)
  • 98. 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
  • 99. 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
  • 100. 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
  • 101. ∑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)
  • 103. 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
  • 104. 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
  • 105. 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
  • 106. ∑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)
  • 108. 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
  • 109. 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
  • 110. 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
  • 111. ∑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)
  • 113. 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
  • 114. 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
  • 115. 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
  • 116. ∑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)
  • 117. 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
  • 118. 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
  • 119. 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 Load 135kN x 1.4 = 189kN Ultimate Live Load 25.9325 x 1.6 = 41.492kN Ultimate Load = 230.492kN
  • 120. 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
  • 121. Ground Floor Level Dead Load Column : 0.3m x 0.3m x 3.0m x 24kN/m3 = 6.48kN Ultimate Dead Load (56.88 + 130.005 + 6.48) x 1.4 = 270.711kN Ultimate Live Load 20.25 x 1.6 = 32.4kN Ultimate Load = 303.111kN