building structure 2

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

17

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

18

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

19

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