BUILDING STRUCTURES (BLD 61003) PROJECT 2 : STRUCTURAL ANALYSIS OF A BUNGALOW
NAME : CHOW WEI QI STUDENT ID : 0331447 TUTOR : MR RIZAL
TABLE OF CONTENT
1. 2. 3. 4. 5. 6.
Design Brief ------------------------------------------------------------------------ 3 Floor Plans ------------------------------------------------------------------------- 4-6 Structural Plans --------------------------------------------------------------------- 7-9 Load Distribution Plans ----------------------------------------------------------- 10-11 Column Tributary Area ------------------------------------------------------------ 12-14 Beam Calculation & Analysis --------------------------------------------------- 15 1. 2.
7.
Floor Beam C-D/2A (beam to beam) --------------------------------- 16-19 Floor Beam D / 2-3 (beam to column) -------------------------------- 20-24
Column Calculation & Analysis ------------------------------------------------- 25 1. 2.
Column C3 -------------------------------------------------------------------- 26-29 Column C2 -------------------------------------------------------------------- 30-33
2
DESIGN BRIEF Structure Dimension Structure
Dimension
Wall
0.15m
Slab
0.15m x 3m
Beam
0.2m x 0.3m
Column
0.3m x 0.3m x3m
Materials Standard Weight Material
Standard Weight
Brick
19 kN/m3
Reinforced Concrete
24 kN/m3
Structure Self Weight Structure
Calculation
Self Weight
0.15m x 19 kN/m3
8.55 kN/m2
Reinforced Concrete Slab
0.15m x 3m x 24 kN/m3
3.6 kN/m2
Beam
0.2m x 0.3m x 24 kN/m3
1.44 kN/m2
0.3m x 0.3m x 3m x 24 kN/m3
6.48 kN/m2
-
1.0 kN/m2
Brick Wall
Column Roof
3
FLOOR PLANS
Storeroom
Dry + Wet Kitchen
Dining Room
Bathroom Laundry
Living Room Entrance Garage
GROUND FLOOR PLAN SCALE 1:100
4
Study Room Bedroom
Bathroom
Master Bedroom
Bedroom Bathroom
FIRST FLOOR PLAN SCALE 1:100
5
ROOF PLAN SCALE 1:100
6
STRUCTURAL FLOOR PLANS
STRUCTURAL GROUND FLOOR PLAN SCALE 1:100
7
STRUCTURAL FIRST FLOOR PLAN SCALE 1:100
8
STRUCTURAL ROOF PLAN SCALE 1:100
9
LOAD DISTRIBUTION DIAGRAMS
LOAD DISTRIBUTION GROUND FLOOR PLAN SCALE 1:100
10
LOAD DISTRIBUTION FIRST FLOOR PLAN SCALE 1:100
11
TRIBUTARY AREA DIAGRAMS
TRIBUTARY AREA GROUND FLOOR PLAN SCALE 1:100
12
TRIBUTARY AREA FIRST FLOOR PLAN SCALE 1:100
13
TRIBUTARY AREA ROOF PLAN SCALE 1:150
14
Beam Calculation & Analysis
1. 2.
Floor Beam C-D/2A (beam to beam) Floor Beam D / 2-3 (beam to column)
15
1.
Floor Beam C-D / 2A (Beam to beam connection)
Calculation and Analysis Dead Load
C
D 2.033m 1.44 kN/m
Beam Self Weight = Brick wall size x density of brickwork = (0.2 x 0.3) m2 x 24 kN/m3 = 1.44 kN/m
Brick Self Weight = Brick wall size x density of brickwork = (0.15 x 3) m2 x 19 kN/m3 = 8.55 kN/m
8.55 kN/m
16
Slab C-D / 2-2A = Slab self weight x Lx/2 x ⅔ = (0.15m x 24 kN/m3) x (2.033/2) x ⅔ = 3.605 kN/m
3.605 kN/m
Slab C-D / 2A-3 = Slab self weight x Lx/2 = (0.15m x 24 kN/m3) x 1.54/2 = 2.772 kN/m
2.772 kN/m
16.367 kN/m
Total Dead Load = (8.55 + 1.44 + 3.605 + 2.772) kN/m =16.367 kN/m
Live Load C
D 2.033m
Slab C-D / 2-2A = Live Load x Lx/2 x ⅔ = 1.5 kN/m2 x (2.033/2) x ⅔ = 1.017 kN/m
Slab C-D / 2A-3 = Live Load x Lx/2 = 1.5 kN/m2 x (1.54/2) = 1.155 kN/m
1.017 kN/m
1.155 kN/m
2.172 kN/m Total Live Load = (1.017 + 1.155) kN/m = 2.172 kN/m
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Ultimate Load 2.033m Ultimate Dead Load = Total dead load x 1.4 = 16.367 kN/m x 1.4 = 22.914 kN/m
22.914 kN/m
3.475kN/m
Ultimate Live Load = Total live load x 1.6 = 2.172 kN/m x 1.6 = 3.475 kN/m
26.389 kN/m Total Ultimate Load = 22.914 + 3.475 = 26.389 kN/m
Reaction Force C Σmb = 0 0 = (Ra x 2.033) - (26.389 x 2.033) x (2.033/2) 0 = 2.033 Ra - 54.553 Ra = 26.824 kN
D 2.033m 1.017m
1.017m 26.389 kN/m
Σfy = 0 0 = 26.824 - (26.389 x 2.033) + Rb Rb = 26.824 kN
Ra = 26.824 kN
Rb = 26.824 kN
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Shear Force Diagram Ra= 26.824 kN 26.824 - (26.389 x 2.033) = - 26.824 kN - 26.824 + 26.824 = 0 kN
- 26.824 + 26.824 = 0 kN
(+) 0 kN
(-)
Bending Moment Diagram Positive Area = 26.824 x 1.017 x ½ = 13.64 kNm
13.64 kNm
Negative Area = 26.824 x 1.017 x ½ = 13.64 kNm 0 kN
0 kN
*Positive Area = Negative Area 13.64 kNm - 13.64 kNm = 0
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2. Floor Beam D / 2-3 (Beam to column connection)
Calculation and Analysis Dead Load
2
2A
3
4.69 m 3.084m Beam Self Weight = Brick wall size x density of brickwork = (0.2 x 0.3) m2 x 24 kN/m3 = 1.44 kN/m
Brick Self Weight = Brick wall size x density of brickwork = (0.15 x 3) m2 x 19 kN/m3 = 8.55 kN/m
1.606m
1.44 kN/m
8.55 kN/m
20
Slab C-D / 2-2A = Slab self weight x Lx/2 = (0.15m x 24 kN/m3) x (2.033/2) = 3.659kN/m
3.659 kN/m
1.848 kN/m
Slab C-D / 2A-3 = Slab self weight x Lx/2 x ⅔ = (0.15m x 24 kN/m3) x 1.54/2 x ⅔ = 1.848 kN/m
8.327 kN/m Slab D-E / 2-3 = Slab self weight x Lx/2 = (0.15m x 24 kN/m3) x 4.626/2 = 8.327 kN/m
Total Dead Load 2-2A = (1.44 + 8.55 + 3.659 + 8.327) kN/m = 21.976 kN/m
21.976 kN/m
20.165 kN/m
Total Dead Load 2A-3 = (1.44 + 8.55 + 1.848 + 8.327) kN/m = 20.165 kN/m
Live Load Slab C-D / 2-2A = Live load x Lx/2 = 1.5 kN/m2 x (2.033/2) = 1.525 kN/m
2
3
2A 4.69m 3.084m
1.606m
1.525 kN/m
21
0.77 kN/m Slab C-D / 2A-3 = Live Load x Lx/2 x ⅔ = 1.5 kN/m2 x (1.54/2) x ⅔ = 0.77 kN/m
Slab D-E / 2-3 = Slab self weight x Lx/2 = 1.5 kN/m2 x 4.626/2 = 3.47 kN/m
3.47 kN/m
Total Live Load 2-2A = (1.525 + 3.47) kN/m = 4.995 kN/m
4.995 kNm 4.24 kN/m
Total Live Load 2A-3 = (0.77 + 3.47) kN/m = 4.24 kN/m
Ultimate Load
2
3
2A 4.69m
Total Dead Load 2-2A = Total dead load x 1.4 = 21.976 kN/m x 1.4 = 30.766 kN/m
Total Dead Load 2A-3 = Total dead load x 1.4 = 20.165 kN/m x 1.4 = 28.231 kN/m
3.084m
1.606m
30.766 kN/m
28.231 kN/m
22
Total Live Load 2-2A = Total Live Load x 1.6 = 4.995 kN/m x 1.6 = 7.992
7.992 kN/m
Total Live Load 2A-3 = Total Live Load x 1.6 = 4.24 kN/m x 1.6 = 6.784 kN/m
6.784kN/m
Total Ultimate Load 2-2A = (30.766 + 7.992) kN/m = 38.758 kN/m
38.758 kN/m
35.015 kN/m
2A-3 = (28.231 + 6.784) kN/m = 35.015 kN/m
26.824 kN/m
38.758 kN/m
35.015kN/m
Point Load for C-D/2A Rb = 26.824 kN/m
23
Reaction Force 2
3
2A 4.69m
Σmb = 0 0 = (Ra x 4.69) - (38.758 x 3.084)(3.148) (26.824)(1.606) - (35.015 x1.606)(0.803) 0 = 4.69 Ra - 464.515 Ra = 99.043 kN
3.084m
1.606m 0.803m
1.542m
26.824 kN/m
Σfy = 0 0 = 99.043 - (38.758 x 3.084) - (26.824) (35.015 x 1.606) + Rb Rb = 103.548
38.758 kN/m
35.015kN/m
Shear Force Diagram Ra = 99.043 99.043 - (38.758 x 3.084) = -20.487kN -20.487 - 26.824 = -47.311 kN -47.311 - (35.015 x 1.606) = -103.545 kN
Ra = 99.043
(+)
99.043 (38.758 x 3.084) = -20.487kN
0 kN -20.487 26.824 = -47.311 kN
Bending Moment Diagram 20.487 / x (38.758 x 3.084) x = (20.487 x 3.084) 116.45 x = 63.161 x= 0.542
(-)
-47.311(35.015 x 1.606) = -103.545 kN
Positive Area = 99.043 x 2.542 x ½ = 125.883 kNm Negative Area [ (47.311 + 103.545) x 1.606 x ½ ] + (20.487 x 0.542 x ½ = 126.69 kNm
0 kN
0 kN
*Positive Area - Negative Area = (125.883 - 126.69) kNm = 0.807 kNm 0 kNm 24
Column Calculation & Analysis
1. 2.
Column C3 Column C2
25
1.
Column C3 Roof Level
Dead Load
Live Load
Roof Weight = (2.647 x 3.77) m2 x 1.0 kN/m2 = 9.979 kN
Roof Weight = (2.647 x 3.77) x 0.5 kN/m2 = 4.99 kN
Roof Beam = [1.435 + 1.275 + 2.345 + (1.016x2)] m x 1.44 kN/m =10.205kN Total Dead Load = (9.979 + 10.205) kN = 20.184 kN
26
First Floor Level
Dead Load Brickwall = [1.435 + 1.275 + 2.345 + (1.016x2)] m x 8.55 kN/m = 60.594 kN Reinforced Concrete Beam = [1.435 + 1.275 + 2.345 + (1.016x2)] m x 1.44 kN/m =10.205kN Reinforced Concrete Slab = (2.647 x 3.77) m2 x 3.6 kN/m2 = 35.925kN
Reinforced Concrete Column = (0.3 x 0.3 x 24 kN/m3) x 3 = 6.48 kN Total Dead Load = (60.594 + 10.205 + 35.925 + 6.48) kN = 113.204 kN Live Load Reinforced Concrete Slab = (2.647 x 3.77) m2 x 1.5 kN/m2 = 14.969 kN
27
Ground Floor Level
Dead Load Brickwall = (1.435 + 1.275 + 2.345 + 1.016) m x 8.55 kN/m = 51.907 kN Reinforced Concrete Beam = (1.435 + 1.275 + 2.345 + 1.016) m x 1.44 kN/m = 8.742kN Reinforced Concrete Slab = (2.647 x 3.77) m2 x 3.6 kN/m2 = 35.925 kN
Reinforced Concrete Column = (0.3 x 0.3 x 24 kN/m3) x 3 = 6.48 kN Total Dead Load = (51.907 + 8.742 + 35.925 + 6.48) kN = 103.05 kN Live Load Reinforced Concrete Slab = (2.647 x 3.77) m2 x 1.5 kN/m2 = 14.969 kN 28
Ultimate Load Total Dead Load = (20.184 + 113.204 + 103.05) kN = 236.438 kN Total Live Load = (4.99 + 14.969 +14.969 ) kN = 34.928 kN Ultimate Dead Load = 236.438 x 1.4 = 331.013 kN Ultimate Live Load = 34.928 x 1.6 = 55.885 kN Total Ultimate Load = (331.013+ 55.885) kN = 386.898 kN
29
2. Column C2 Roof Level
Dead Load
Live Load
Roof Weight = (2.345 x 2.646) m2 x 1.0 kN/m2 = 6.205 kN
Roof Weight = (2.345 x 2.646) x 0.5 kN/m2 = 3.102kN
Roof Beam = (2.345 + 1.48 + 2.033) m x 1.44 kN/m = 8.436 kN Total Dead Load = (6.205 + 8.436) kN = 14.641 kN
30
First Floor Level
Dead Load Brickwall = (1.016) m x 8.55 kN/m = 8.687 kN Reinforced Concrete Beam = (2.345 + 1.48 + 2.033) m x 1.44 kN/m = 8.436 kN Reinforced Concrete Slab = (2.345 x 2.646) m2 x 3.6 kN/m2 = 22.338 kN
Reinforced Concrete Column = (0.3 x 0.3 x 24 kN/m3) x 3 = 6.48 kN Total Dead Load = (8.687+ 8.436 + 22.338 + 6.48) kN = 45.941 kN Live Load Reinforced Concrete Slab = (2.345 x 2.646) m2 x 1.5 kN/m2 = 7.847 kN
31
Ground Floor Level
Dead Load Brickwall = (1.74 + 1.016) m x 8.55 kN/m = 23.564 kN Reinforced Concrete Beam = (2.345 + 1.48 + 2.033 + 1.74) m x 1.44 kN/m = 10.941kN Reinforced Concrete Slab = [(2.647 x 3.77) + (1.74 x1.48)] m2 x 3.6 kN/m2 = 45.196 kN
Reinforced Concrete Column = (0.3 x 0.3 x 24 kN/m3) x 3 = 6.48 kN Total Dead Load = (23.564 + 10.941 + 45.196 + 6.48) kN = 86.18 kN Live Load Reinforced Concrete Slab = [(2.647 x 3.77) + (1.74 x1.48)] m2 x 1.5 kN/m2 32 = 18.832 kN
Ultimate Load Total Dead Load = (14.641 + 45.941 + 86.18) kN = 146.762 kN Total Live Load = (3.102 + 7.847 + 18.832 ) kN = 29.781 kN Ultimate Dead Load = 146.762 x 1.4 = 205.467 kN Ultimate Live Load = 29.781 x 1.6 = 47.65 kN Total Ultimate Load = (205.467 + 47.65) kN = 253.117 kN
33