Yap Zhi Jun 0310738

Extension Proposal

Architectural Plan 1:150

1. Ground Floor Plan

Maid’s room Toilet

Music room

Storage

Painting room

Yap Zhi Jun 0310738

2. First Floor Plan 1 : 150

Toilet

Study room

Storage

Library

Studio

Yap Zhi Jun 0310738

Extension Proposal

Structural Plan

1. Foundation Structural Plan 1 : 150

Yap Zhi Jun 0310738

2. Ground Floor Structural Plan 1 : 150

3. First Floor Structural Plan 1 : 150

3000 2000

1200

3000

4570

3700

1500

3000 2000

1200

3000

4570

3700

1500

Yap Zhi Jun 0310738

4. Roof Structural Plan 1 : 150

Yap Zhi Jun 0310738

5. 3D Structural Perspective View

Yap Zhi Jun 0310738

Quantity Dead Loads Acting On Structure

Beam Self-weight

(Assume that initial beam size 150mm x 300mm)

= Beam Size x Concrete Density

= 0.15m x 0.3m x 24kN/m3

= 1.08kN/m

Ground Floor Slab Self –weight

Maid’s room:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Painting room:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Music room:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Storage:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Toilet:

Slab thickness = 100mm

Slab self-weight = 0.1m x 24kN/m3

= 2.4kN/m3

First Floor Slab Self-weight

Storage:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Studio:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Library:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Study room:

Slab thickness = 150mm

Slab self-weight = 0.15m x 24kN/m3

= 3.6kN/m3

Toilet:

Slab thickness = 100mm

Slab self-weight = 0.1m x 24kN/m3

= 2.4kN/m3

Yap Zhi Jun 0310738

Brick Wall self-weight

Ground floor brick wall

= Wall height x Thickness x Density

= 3.05m x 0.15m x 19kN/m3

= 8.69kN/m

Quantity Live loads Acting on Structure

(According to 4th schedule of UBBL for live load according to the function of the space)

Ground Floor

Maid’s room : 2.0kN/m3

Painting room : 2.5kN/m3

Music room : 2.5kN/m3

Storage : 2.5kN/m3

Toilet : 2.0kN/m3

Extension Floor plan

First floor brick wall

= Wall height x Thickness x Density

= 3.02m x 0.15m x 19kN/m3

= 8.61kN/m

First Floor

Storage : 2.5kN/m3

Studio : 2.5kN/m3

Library : 2.5kN/m3

Study room : 2.5kN/m3

Toilet : 2.0kN/m3

Ground Floor Plan 1 : 150 First Floor Plan 1 : 150

3000 2000 3000 2000

1200

3000

4570

3700

1500

Maid’s room Toilet Toilet

Music room

Storage Study room

Storage

Library

Painting room

Studio

Yap Zhi Jun 0310738

Identify One Way or Two Way Slab

Indicating the Distribution of load from Slab to Beam

Ly = Longer side of slab When Ly/Lx > 2, it is a one way slab

Lx = Shorter side of slab When Ly/Lx < 2 or = 2, it is a two way slab

Ground Floor

Maid’s room

= 4200mm / 3000mm

= 1.4 < 2 (two way slab)

Toilet

= 3000mm / 2000mm

= 1.5 < 2 (two way slab)

Painting room

= 5000mm / 4570mm

= 1.09 < 2 (two way slab)

Music room

= 5200mm / 3000mm

= 1.73 < 2 (two way slab)

Storage

= 3700mm / 2000mm

= 1.85 < 2 (two way slab)

First Floor

Storage

= 4200mm / 3000mm

= 1.4 < 2 (two way slab)

Toilet

= 3000mm / 2000mm

= 1.5 < 2 (two way slab)

Studio

= 5000mm / 4570mm

= 1.09 < 2 (two way slab)

Library

= 5200mm / 3000mm

= 1.73 < 2 (two way slab)

Study Room

= 3700mm / 2000mm

= 1.85 < 2 (two way slab)

Yap Zhi Jun 0310738

Load distribution diagram

To identify how much load would be transferred from the slab to each adjacent beam

Ground Floor Plan 1 : 100 First Floor Plan 1 : 100

1200

3000

4570

3700

1500

3000 2000 A B C

1

2

3

4

5

6

A C 3000 2000 B

Yap Zhi Jun 0310738

Beam Analysis Calculation (First Beam)

Ground Floor Beam, BC/5

List of loads on BC/5:

1) Beam self-weight (Dead Load) - UDL 2) Brick Wall Weight (Dead Load) - UDL 3) Slab BC/4-5 (Dead Load) - UDL 4) Slab BC/4-5 (Live Load) - UDL

1) Beam self-weight = 0.15m x 0.3m x 24kN/m3

= 1.08kN/m

2) Brick Wall Weight = 3.05m x 0.15m x 19kN/m3 = 8.69kN/m

3) Dead load on slab BC/4-5 (two way slab) Load is transferred to beam BC/5 in a UDL triangular form Dead load from slab BC/4-5 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (2.0m/2) = 3.6kN/m Convert triangular load to UDL by applying a factor of 2/3 Dead load from slab BC/4-5 = (2/3) x 3.6kN/m = 2.4kN/m Total Dead load diagram on Beam BC/5

B C

B C

B C

B C

Beam self-weight

Brick Wall Weight

Slab BC/4-5

Total dead load

1.08kN/m

8.69kN/m

2.4kN/m

12.17kN/m

2.0m

Yap Zhi Jun 0310738

4) Live load on slab BC/4-5 (two way slab) Load is transferred to beam BC/5 in a UDL triangular form Live load from slab BC/4-5 = Live load on slab x (Lx/2) = 2.5kN/m2 x (2.0m/2) = 2.5kN/m Convert triangular load to UDL by applying a factor of 2/3 Live load from slab BC/4-5 = (2/3) x 2.5kN/m = 1.67kN/m Total Live load diagram on Beam BC/5

Ultimate load

Apply factor 1.4 and 1.6 to dead load and live load respectively

Dead load BC = 12.17kN/m x 1.4

= 17.04kN/m

Live Load BC = 1.67kN/m x 1.6

= 2.67kN/m

Total ultimate load = 17.04kN/m + 2.67kN/m

= 19.71kN/m

Total Ultimate load diagram on Beam BC/5

B C

B C

Slab BC/4-5

Total live load

1.67kN/m

1.67kN/m

B C Total ultimate load

19.71kN/m

2.0m

2.0m

Yap Zhi Jun 0310738

Reactions

∑MC = 0

= RB (2.0) – 19.71 (2.0) (2.0/2)

= 2.0 RB – 39.42

RB = 19.71KN

∑Fy = 0

= RB + RC – 19.71 (2.0)

= 19.71 + RC – 3.42

Rc = 19.71KN

Load Diagram Beam BC/5

Shear Force Diagram Beam BC/5

Bending Moment Diagram Beam BC/5

B C

9.86kNm

B C

19.71kN

1.0m

B C

19.71kN/m

2.0m

-19.71kN

1.0m

1.0m 1.0m

19.71kN 19.71kN

Yap Zhi Jun 0310738

Beam Analysis Calculation (Second Beam)

Ground Floor Beam, B/4-6

List of loads on B/4-6:

1) Beam self-weight (Dead Load) - UDL 2) Brick Wall Weight (Dead Load) - UDL 3) Slab AB/4-6 (Dead Load) - UDL 4) Slab BC/4-5 (Dead Load) - UDL 5) Slab AB/4-6 (Live Load) - UDL 6) Slab BC/4-5 (Live Load) - UDL 7) Beam BC-5 (Dead Load) - PL

1) Beam self-weight = 0.15m x 0.3m x 24kN/m3

= 1.08kN/m

2) Brick Wall Weight = 3.05m x 0.15m x 19kN/m3 = 8.69kN/m

3) Dead load on slab AB/4-6 (two way slab) Load is transferred to beam B/4-6 in a UDL trapezoidal form Dead load from slab AB/4-6 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (3.0m/2) = 5.4kN/m

4) Dead load on slab BC/4-5 (two way slab) Load is transferred to beam B/4-6 in a UDL trapezoidal form Dead load from slab BC/4-5 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (2.0m/2) = 3.6kN/m

Yap Zhi Jun 0310738

Total Dead load diagram on Beam B/4-6

5) Live load on slab AB/4-6 (two way slab) Load is transferred to beam B/4-6 in a UDL trapezoidal form Live load from slab AB/4-6 = Live load on slab x (Lx/2) = 2.5kN/m2 x (3.0m/2) = 3.75kN/m

6) Live load on slab BC/4-5 (two way slab) Load is transferred to beam B/4-6 in a UDL trapezoidal form Live load from slab BC/4-5 = Live load on slab x (Lx/2) = 2.5kN/m2 x (2.0m/2) = 2.5kN/m Total Live load diagram on Beam B/4-6

4 6

4 6

4 6

4 6

Beam self-weight

Brick Wall Weight

Slab AB/4-6

Total dead load

1.08kN/m

8.69kN/m

5.4kN/m

18.77kN/m

3.7m

5

5

5

5

3.6kN/m

4 6 5 1.5m

15.17kN/m

Slab BC/4-5

4 6

4 6

Slab AB/4-6

Total live load

5

5

2.5kN/m

4 5 1.5m 3.7m

3.75kN/m

3.75kN/m

6.25kN/m

Slab BC/4-5

6

Yap Zhi Jun 0310738

7) Dead load from Beam BC/5 = 19.71KN

Ultimate load

Apply factor 1.4 and 1.6 to dead load and live load respectively

Dead load 45 = 18.77kN/m x 1.4

= 26.28kN/m

Dead load 56 = 15.17kN/m x 1.4

= 21.24kN/m

Live Load 45 = 6.25kN/m x 1.6

= 10.0kN/m

Live Load 56 = 3.75kN/m x 1.6

= 6.0kN/m

Ultimate load 45 = 26.28kN/m + 10.0kN/m

= 36.28kN/m

Ultimate load 56 = 21.24kN/m + 6.0kN/m

= 27.24kN/m

Total Ultimate load diagram on Beam B/4-6

4 5 1.5m 3.7m

27.24kN/m

36.28kN/m

6

Yap Zhi Jun 0310738

Reactions

∑M4 = 0

= R6 (5.2) – 36.28 (3.7) (3.7/2) – 27.24 (1.5) (1.5/2 + 3.7) – 19.7 (3.7)

= 5.2 R6 – 248.34 – 181.83 – 72.93

R6 = 96.75KN

∑Fy = 0

= R4 + R6 – 36.28 (3.7) – 27.24 (1.5) – 19.71

= 96.75 – 134.24 – 40.86 – 19.71

R4 = 98.06KN

Load Diagram Beam B/4-6

Shear Force Diagram Beam B/4-6

Bending Moment Diagram Beam B/4-6

B C

9.86kNm

4 6

19.71kN

3.7m

1.5m

1.0m 1.0m

98.06kN 96.76kN

5 1.5m

36.28kN/m

27.24kN/m

98.06kN

-96.76kN -55.89kN

-36.18kN

2.7m 1.0m 4 6

5

4 6 5

132.38kNm

114.29kNm

Yap Zhi Jun 0310738

Beam Analysis Calculation (Third Beam)

Ground Floor Beam, AC/4

List of loads on AC/4:

1) Beam self-weight (Dead Load) - UDL 2) Brick Wall Weight (Dead Load) - UDL 3) Slab AB/4-6 (Dead Load) - UDL 4) Slab BC/4-5 (Dead Load) – UDL 5) Slab AC/3-4 (Dead Load) – UDL 6) Slab AB/4-6 (Live Load) - UDL 7) Slab BC/4-5 (Live Load) – UDL 8) Slab AB/4-6 (Live Load) – UDL 9) Beam B/4-6 (Dead Load) - PL

1) Beam self-weight = 0.15m x 0.3m x 24kN/m3

= 1.08kN/m

2) Brick Wall Weight = 3.05m x 0.15m x 19kN/m3 = 8.69kN/m

3) Dead load on slab AB/4-6 (two way slab) Load is transferred to beam AC/4 in a UDL triangular form Dead load from slab AB/4-6 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (3.0m/2) = 5.4kN/m Convert triangular load to UDL by applying a factor of 2/3 Dead load from slab AB/4-6 = (2/3) x 5.4kN/m = 3.6kN/m

4) Dead load on slab BC/4-5 (two way slab) Load is transferred to beam AC/4 in a UDL triangular form Dead load from slab BC/4-5 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (2.0m/2) = 3.6kN/m Convert triangular load to UDL by applying a factor of 2/3 Dead load from slab BC/4-5 = (2/3) x 3.6kN/m = 2.4kN/m

Yap Zhi Jun 0310738

5) Dead load on slab AC/3-4 (two way slab) Load is transferred to beam AC/4 in a UDL triangular form Dead load from slab AB/4-6 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (4.57m/2) = 8.23kN/m Total Dead load diagram on Beam AC/4

6) Live load on slab AB/4-6 (two way slab) Load is transferred to beam AC/4 in a UDL trapezoidal form Live load from slab AB/4-6 = Live load on slab x (Lx/2) = 2.5kN/m2 x (3.0m/2) = 3.75kN/m Convert triangular load to UDL by applying a factor of 2/3 Live load from slab AB/4-6 = (2/3) x 3.75kN/m = 2.5kN/m

A C

A C

A C

A C

Beam self-weight

Brick Wall Weight

Slab AB/4-6

Total dead load

1.08kN/m

8.69kN/m

3.6kN/m

21.6kN/m

3.0m

B

B

B

B

2.4kN/m

A C B 2.0m

20.7kN/m

Slab BC/4-5

Slab AC/3-4 A C B

8.23kN/m

Yap Zhi Jun 0310738

7) Live load on slab BC/4-5 (two way slab) Load is transferred to beam AC/4 in a UDL triangular form Live load from slab BC/4-5 = Live load on slab x (Lx/2) = 2.5kN/m2 x (2.0m/2) = 2.5kN/m Convert triangular load to UDL by applying a factor of 2/3 Live load from slab BC/4-5 = (2/3) x 2.5kN/m = 1.67kN/m

8) Live load on slab AC/3-4 (two way slab) Load is transferred to beam AC/4 in a UDL trapezoidal form Live load from slab AC/3-4 = Live load on slab x (Lx/2) = 2.5kN/m2 x (4.57m/2) = 5.71kN/m Total Live load diagram on Beam AC/4

9) Dead load from Beam B/4-6 = 98.06KN

A C

A C

Slab AB/4-6

Total live load

B

B

1.67kN/m

A B

2.0m 3.0m

2.5kN/m

7.38kN/m

8.21kN/m

Slab BC/4-5

C Slab AC/3-4

A B C

5.71kN/m

Yap Zhi Jun 0310738

Ultimate load

Apply factor 1.4 and 1.6 to dead load and live load respectively

Dead load AB = 21.6kN/m x 1.4

= 30.24kN/m

Dead load BC = 20.4kN/m x 1.4

= 28.56kN/m

Live Load AB = 8.21kN/m x 1.6

= 13.14kN/m

Live Load BC = 7.38kN/m x 1.6

= 11.81kN/m

Ultimate load AB = 30.24kN/m + 13.14kN/m

= 43.38kN/m

Ultimate load BC = 28.56kN/m + 11.81kN/m

= 40.37kN/m

Total Ultimate load diagram on Beam AC/4

A B 2.0m 3.0m

40.37kN/m

43.38kN/m

C

Yap Zhi Jun 0310738

Reactions

∑MA = 0

= RC (5.0) – 43.38 (3.0) (3.0/2) – 40.37 (2.0) (2.0/2 + 3.0) – 98.06 (3.0)

= 5.0 RC – 195.21 – 322.96 – 294.18

RC = 162.47KN

∑Fy = 0

= RA + RC – 43.38 (3.0) – 40.37 (2.0) – 98.06

RA = 162.47 – 130.14 – 80.74 – 98.06

= 146.47KN

Load Diagram Beam AC/4

Shear Force Diagram Beam AC/4

Bending Moment Diagram Beam AC/4

C

244.2kNm

A C

98.06kN

3.0m

2.0m

3.0m 2.0m

146.47kN 162.47kN

B 2.0m

43.38kN/m

40.37kN/m

-81.73kN

3.0m C C

B

A

B

146.47kN

-162.47kN

Yap Zhi Jun 0310738

Beam Analysis Calculation (Forth Beam)

First Floor Beam, BC/2

List of loads on BC/2:

1) Beam self-weight (Dead Load) - UDL 2) Brick Wall Weight (Dead Load) - UDL 3) Slab BC/2-3 (Dead Load) - UDL 4) Slab BC/2-3 (Live Load) - UDL

1) Beam self-weight = 0.15m x 0.3m x 24kN/m3

= 1.08kN/m

2) Brick Wall Weight = 3.02m x 0.15m x 19kN/m3 = 8.61kN/m

3) Dead load on slab BC/2-3 (two way slab) Load is transferred to beam BC/2 in a UDL triangular form Dead load from slab BC/2-3 = Dead load on slab x (Lx/2) = 2.4kN/m2 x (2.0m/2) = 2.4kN/m Convert triangular load to UDL by applying a factor of 2/3 Dead load from slab BC/2-3 = (2/3) x 2.4kN/m = 1.6kN/m Total Dead load diagram on Beam BC/2

B C

B C

B C

B C

Beam self-weight

Brick Wall Weight

Slab BC/2-3

Total dead load

1.08kN/m

8.61kN/m

1.6kN/m

11.29kN/m

2.0m

Yap Zhi Jun 0310738

4) Live load on slab BC/2-3 (two way slab) Load is transferred to beam BC/2 in a UDL triangular form Live load from slab BC/2-3 = Live load on slab x (Lx/2) = 2.0kN/m2 x (2.0m/2) = 2.0kN/m Convert triangular load to UDL by applying a factor of 2/3 Live load from slab BC/2-3 = (2/3) x 2.0kN/m = 1.33kN/m Total Live load diagram on Beam BC/2

Ultimate load

Apply factor 1.4 and 1.6 to dead load and live load respectively

Dead load BC = 11.29kN/m x 1.4

= 15.81kN/m

Live Load BC = 1.33kN/m x 1.6

= 2.13kN/m

Total ultimate load = 15.81kN/m + 2.13kN/m

= 17.94kN/m

Total Ultimate load diagram on Beam BC/2

B C

B C

Slab BC/2-3

Total live load

1.33kN/m

1.33kN/m

B C Total ultimate load

17.94kN/m

2.0m

2.0m

Yap Zhi Jun 0310738

Reactions

∑MC = 0

= RB (2.0) – 17.94 (2.0) (2.0/2)

RB = 17.94KN

∑Fy = 0

= RB + RC – 19.71 (2.0)

= 17.94 + RC – 35.87

Rc = 17.94KN

Load Diagram Beam BC/2

Shear Force Diagram Beam BC/2

Bending Moment Diagram Beam BC/2

B C

8.97kNm

B C

17.94kN

1.0m

B C

17.94kN/m

2.0m

-17.94kN

1.0m

1.0m 1.0m

17.94kN 17.94kN

Yap Zhi Jun 0310738

Beam Analysis Calculation (Forth Beam)

First Floor Beam, B/1-3

List of loads on B/1-3:

1) Beam self-weight (Dead Load) - UDL 2) Brick Wall Weight (Dead Load) - UDL 3) Slab AB/1-3 (Dead Load) - UDL 4) Slab BC/2-3 (Dead Load) - UDL 5) Slab AB/1-3 (Live Load) - UDL 6) Slab BC/2-3 (Live Load) - UDL 7) Beam BC-2 (Dead Load) - PL

1) Beam self-weight = 0.15m x 0.3m x 24kN/m3

= 1.08kN/m

2) Brick Wall Weight = 3.02m x 0.15m x 19kN/m3 = 8.61kN/m

3) Dead load on slab AB/1-3 (two way slab) Load is transferred to beam B/1-3 in a UDL trapezoidal form Dead load from slab AB/1-3 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (3.0m/2) = 5.4kN/m

4) Dead load on slab BC/2-3 (two way slab) Load is transferred to beam B/1-3 in a UDL trapezoidal form Dead load from slab BC/2-3 = Dead load on slab x (Lx/2) = 2.4kN/m2 x (2.0m/2) = 2.4kN/m

Yap Zhi Jun 0310738

Total Dead load diagram on Beam B/1-3

5) Live load on slab AB/1-3 (two way slab) Load is transferred to beam B/1-3 in a UDL trapezoidal form Live load from slab AB/1-3 = Live load on slab x (Lx/2) = 2.5kN/m2 x (3.0m/2) = 3.75kN/m

6) Live load on slab BC/2-3 (two way slab) Load is transferred to beam B/1-3 in a UDL trapezoidal form Live load from slab BC/2-3 = Live load on slab x (Lx/2) = 2.0kN/m2 x (2.0m/2) = 2.0kN/m Total Live load diagram on Beam B/1-3

3 1

3 1

3 1

3 1

Beam self-weight

Brick Wall Weight

Slab AB/1-3

Total dead load

1.08kN/m

8.61kN/m

5.4kN/m

17.49kN/m

3.0m

2

2

2

2

2.4kN/m

3 1 2 1.2m

15.09kN/m

Slab BC/2-3

3 1

3 1

Slab AB/1-3

Total live load

2

2

2.0kN/m

3 2 1.2m 3.0m

3.75kN/m

3.75kN/m

5.75kN/m

Slab BC/2-3

1

Yap Zhi Jun 0310738

7) Dead load from Beam BC/2 = 17.94KN

Ultimate load

Apply factor 1.4 and 1.6 to dead load and live load respectively

Dead load 12 = 15.09kN/m x 1.4

= 21.13kN/m

Dead load 23 = 17.49kN/m x 1.4

= 24.49kN/m

Live Load 12 = 3.75kN/m x 1.6

= 6.0kN/m

Live Load 23 = 5.75kN/m x 1.6

= 9.2kN/m

Ultimate load 12 = 21.13kN/m + 6.0kN/m

= 27.13kN/m

Ultimate load 23 = 24.49kN/m + 9.2kN/m

= 33.69kN/m

Total Ultimate load diagram on Beam B/1-3

3 2 1.2m 3.0m

27.13kN/m

33.69kN/m

1

Yap Zhi Jun 0310738

Reactions

∑M1 = 0

= R3 (4.2) – 27.13 (1.2) (1.2/2) – 33.69 (3) (3/2 + 1.2) – 17.94 (1.2)

= 4.2 R3 – 19.53 – 272.89 – 21.53

R3 = 74.75KN

∑Fy = 0

= R1 + R3 – 27.13 (1.2) – 33.69 (3.0) – 17.94

R1 = 74.75 – 32.56 – 101.07 – 17.94

= 76.8KN

Load Diagram Beam B/1-3

Shear Force Diagram Beam B/1-3

Bending Moment Diagram Beam B/1-3

B C

9.86kNm

3 1

17.94kN

3.0m

1.2m

1.0m 1.0m

74.75kN 76.82kN

2 1.2m

33.69kN/m

27.13kN/m

74.75kN

-76.82kN

-44.26kN -26.32kN

2.22m 0.78m 3 1

2

3 1 2

82.97kNm

72.71kNm

Yap Zhi Jun 0310738

Beam Analysis Calculation (Sixth Beam)

First Floor Beam, AC/3

List of loads on AC/3:

1) Beam self-weight (Dead Load) - UDL 2) Brick Wall Weight (Dead Load) - UDL 3) Slab AB/1-3 (Dead Load) - UDL 4) Slab BC/2-3 (Dead Load) – UDL 5) Slab AC/3-4 (Dead Load) – UDL 6) Slab AB/1-3 (Live Load) - UDL 7) Slab BC/2-3 (Live Load) – UDL 8) Slab AB/3-4 (Live Load) – UDL 9) Beam B/1-3 (Dead Load) - PL

1) Beam self-weight = 0.15m x 0.3m x 24kN/m3

= 1.08kN/m

2) Brick Wall Weight = 3.02m x 0.15m x 19kN/m3 = 8.61kN/m

3) Dead load on slab AB/1-3 (two way slab) Load is transferred to beam AC/3 in a UDL triangular form Dead load from slab AB/1-3 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (3.0m/2) = 5.4kN/m Convert triangular load to UDL by applying a factor of 2/3 Dead load from slab AB/1-3 = (2/3) x 5.4kN/m = 3.6kN/m

4) Dead load on slab BC/2-3 (two way slab) Load is transferred to beam AC/3 in a UDL triangular form Dead load from slab BC/2-3 = Dead load on slab x (Lx/2) = 2.4kN/m2 x (2.0m/2) = 2.4kN/m Convert triangular load to UDL by applying a factor of 2/3 Dead load from slab BC/2-3 = (2/3) x 2.4kN/m = 1.6kN/m

Yap Zhi Jun 0310738

5) Dead load on slab AC/3-4 (two way slab) Load is transferred to beam AC/3 in a UDL triangular form Dead load from slab AC/3-4 = Dead load on slab x (Lx/2) = 3.6kN/m2 x (4.57m/2) = 8.23kN/m Total Dead load diagram on Beam AC/3

6) Live load on slab AB/1-3 (two way slab) Load is transferred to beam AC/3 in a UDL trapezoidal form Live load from slab AB/1-3 = Live load on slab x (Lx/2) = 2.5kN/m2 x (3.0m/2) = 3.75kN/m Convert triangular load to UDL by applying a factor of 2/3 Live load from slab AB/1-3 = (2/3) x 3.75kN/m = 2.5kN/m

A C

A C

A C

A C

Beam self-weight

Brick Wall Weight

Slab AB/1-3

Total dead load

1.08kN/m

8.61kN/m

3.6kN/m

21.52kN/m

3.0m

B

B

B

B

1.6kN/m

A C B 2.0m

19.52kN/m

Slab BC/2-3

Slab AC/3-4 A C B

8.23kN/m

Yap Zhi Jun 0310738

7) Live load on slab BC/2-3 (two way slab) Load is transferred to beam AC/3 in a UDL triangular form Live load from slab BC/2-3 = Live load on slab x (Lx/2) = 2.0kN/m2 x (2.0m/2) = 2.0kN/m Convert triangular load to UDL by applying a factor of 2/3 Live load from slab BC/2-3 = (2/3) x 2.0kN/m = 1.33kN/m

8) Live load on slab AC/3-4 (two way slab) Load is transferred to beam AC/3 in a UDL trapezoidal form Live load from slab AC/3-4 = Live load on slab x (Lx/2) = 2.5kN/m2 x (4.57m/2) = 5.71kN/m Total Live load diagram on Beam AC/3

9) Dead load from Beam B/1-3 = 74.75KN

A C

A C

Slab AB/1-3

Total live load

B

B

1.33kN/m

A B

2.0m 3.0m

2.5kN/m

7.04kN/m

8.21kN/m

Slab BC/2-3

C Slab AC/3-4

A B C

5.71kN/m

Yap Zhi Jun 0310738

Ultimate load

Apply factor 1.4 and 1.6 to dead load and live load respectively

Dead load AB = 21.52kN/m x 1.4

= 30.13kN/m

Dead load BC = 19.52kN/m x 1.4

= 27.33kN/m

Live Load AB = 8.21kN/m x 1.6

= 13.14kN/m

Live Load BC = 7.04kN/m x 1.6

= 11.26kN/m

Ultimate load AB = 30.13kN/m + 13.14kN/m

= 43.27kN/m

Ultimate load BC = 27.33kN/m + 11.26kN/m

= 38.59kN/m

Total Ultimate load diagram on Beam AC/3

A B 2.0m 3.0m

38.59kN/m

43.27kN/m

C

Yap Zhi Jun 0310738

Reactions

∑MA = 0

= RC (5.0) – 43.27 (3.0) (3.0/2) – 38.59 (2.0) (2.0/2 + 3.0) – 74.75 (3.0)

= 5.0 RC – 194.72 – 308.72 – 224.25

RC = 145.54KN

∑Fy = 0

= RA + RC – 43.27 (3.0) – 38.59 (2.0) – 74.75

RA = 145.54 – 129.81 – 77.18 – 74.75

= 136.2KN

Load Diagram Beam AC/3

Shear Force Diagram Beam AC/3

Bending Moment Diagram Beam AC/3

C

213.89kNm

A C

74.75kN

3.0m

2.0m

3.0m 2.0m

136.2kN 145.54kN

B 2.0m

43.27kN/m

38.59kN/m

-68.36kN

3.0m C C

B

A

B

136.2kN

-145.54kN

Yap Zhi Jun 0310738

Load Distribution Diagram

To identify distribution of load from Slab to column by using the tributary area method

3000

3000

4570

3700

A B C

1

2

3

4

5

6

2000

1200

1500

A B C 2000 3000

Column B/1 Column C/2 Column C/3

B C

C

1 3 2

1500

600

600

1500 2000 500

2285

1500

2000 500

Ground Floor Plan 1 : 150 First Floor Plan 1 : 150

Yap Zhi Jun 0310738

Column Analysis Calculation (Tributary Area Method)

To identify how much load would be transferred from slab to column

Column B/1

List of loads:

Dead load Live Load

1) Roof 1) Roof

2) First Floor 2) First Floor

3) Ground Floor 3) Ground Floor

Dead Load

1) Roof

a) Flat roof slab

Assume slab self-weight 1.0kN/m2

Area = 1.5m x 0.6m

= 0.9m2

Dead Load of Flat Roof Slab

= 1.0kN/m2 x 0.9m2

= 0.9kN

b) Beam Self-weight

= 1.08kN/m x (1.5m + 0.6m)

= 2.27kN

Total Dead Load of Roof = 0.9kN + 2.27kN = 3.17kN

2) First Floor a) Slab (Storage)

= 3.6kN/m2 x (1.5m x 0.6m) = 3.24kN

b) Beam Self-weight =1.08kN/m x (1.5m + 0.6m) = 0.97kN

c) Brick Wall = 8.61kN/m x (1.5m + 0.6m) = 18.08kN Total Dead Load of first Floor = 3.24kN + 0.97kN + 18.08kN = 22.29kN

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3) Ground Floor a) Slab (Maid’s Room)

= 3.6kN/m2 x (1.5m x 0.6m) = 3.24kN

b) Beam Self-weight =1.08kN/m x (1.5m + 0.6m) = 0.97kN

c) Brick Wall = 8.69kN/m x (1.5m + 0.6m) = 18.25kN Total Dead Load of Ground Floor = 3.24kN + 0.97kN + 18.25kN = 22.46kN

Total Dead Load from Roof to Foundation on Column B/1

= 3.17kN + 22.29kN + 22.46kN

= 47.92kN

Live Load

1) Roof

Live Load of Flat Roof Slab

= 0.5kN/m2 x (1.5m x 0.6m)

= 0.45kN

2) First Floor Slab (Storage) = 2.5kN/m2 x (1.5m x 0.6m) = 2.25kN

3) Ground Floor Slab (Maid’s Room) = 2.0kN/m2 x (1.5m x 0.6m) = 1.8kN

Total Live Load from Roof to Foundation on Column B/1

= 0.45kN + 2.25kN + 1.8kN

= 4.5kN

Ultimate Load

47.92kN (1.4) + 4.5kN (1.6) = 74.29kN

Yap Zhi Jun 0310738

Column C/2

List of loads:

Dead load Live Load

1) Roof 1) Roof

2) First Floor 2) First Floor

3) Ground Floor 3) Ground Floor

Dead Load

1) Roof

a) Flat roof slab

Assume slab self-weight 1.0kN/m2

Area = (0.5m x 2.1m) + (2.0m x 1.5m)

= 4.05m2

Dead Load of Flat Roof Slab

= 1.0kN/m2 x 4.05m2

= 4.05kN

b) Beam Self-weight

= 1.08kN/m x (2.1m + 2.0m + 1.5m)

= 6.05kN

Total Dead Load of Roof = 4.05kN + 6.05kN = 10.1kN

2) First Floor a) Slab (Storage + toilet)

= (3.6kN/m2 x (0.5m x 2.1m)) + (2.4kN/m2 x (2.0m x 1.5m)) = 3.78kN + 7.2kN = 10.98kN

b) Beam Self-weight = 1.08kN/m x (2.1m + 2.0m + 1.5m)

= 6.05kN

c) Brick Wall = 8.61kN/m x (2.1m + 2.0m + 1.5m) = 48.22kN Total Dead Load of first Floor = 10.98kN + 6.05kN + 48.22kN = 65.25kN

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3) Ground Floor a) Slab (Maid’s Room + toilet)

= (3.6kN/m2 x (0.5m x 2.1m)) + (2.4kN/m2 x (2.0m x 1.5m)) = 3.78kN + 7.2kN = 10.98kN

b) Beam Self-weight = 1.08kN/m x (2.1m + 2.0m + 1.5m)

= 6.05kN

c) Brick Wall = 8.69kN/m x (2.1m + 2.0m + 1.5m) = 48.66kN Total Dead Load of Ground Floor = 10.98kN + 6.05kN + 48.66kN = 65.69kN

Total Dead Load from Roof to Foundation on Column C/2

= 10.1kN + 65.25kN + 65.69kN

= 141.04kN

Live Load

a) Roof

Live Load of Flat Roof Slab

= 0.5kN/m2 x 4.05m2

= 2.03kN

b) First Floor Slab (Storage + toilet) = (2.5kN/m2 x 1.05m2) + (2.0kN/m2 x 3.0m2) = 8.63kN c) Ground Floor Slab (Maid’s Room + toilet) = 2.0kN/m2 x 4.05m2 = 8.1kN

Total Live Load from Roof to Foundation on Column C/2

= 2.03kN + 8.63kN + 8.1kN

= 18.76kN

Ultimate Load

141.04kN (1.4) + 18.76kN (1.6) = 227.47kN

Yap Zhi Jun 0310738

Column C/3

List of loads:

Dead load Live Load

1) Roof 1) Roof

2) First Floor 2) First Floor

3) Ground Floor 3) Ground Floor

Dead Load

1) Roof

a) Flat roof slab

Assume slab self-weight 1.0kN/m2

Area = (0.5m x 1.5m) + (2.0m x 1.5m) + (2.5m x 2.29m)

= 9.48m2

Dead Load of Flat Roof Slab

= 1.0kN/m2 x 9.48m2

= 9.48kN

b) Beam Self-weight

= 1.08kN/m x (1.5m + 3.79m + 2.5m)

= 8.41kN

Total Dead Load of Roof = 9.48kN + 8.41kN = 17.89kN

2) First Floor a) Slab (Storage + toilet + studio)

= (3.6kN/m2 x (0.5m x 1.5m)) + (2.4kN/m2 x (2.0m x 1.5m)) + (3.6kN/m2 x (2.29m x 2.5m)) = 2.7kN + 7.2kN + 20.61kN = 30.51kN

b) Beam Self-weight = 1.08kN/m x (1.5m + 3.79m + 2.5m)

= 8.41kN

c) Brick Wall = 8.61kN/m x (1.5m + 3.79m + 2.5m) = 67.07kN Total Dead Load of first Floor = 30.51kN + 8.41kN + 67.07kN = 105.99kN

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3) Ground Floor a) Slab (Maid’s Room + toilet + Painting Room)

= (3.6kN/m2 x (0.5m x 1.5m)) + (2.4kN/m2 x (2.0m x 1.5m)) + (3.6kN/m2 x (2.29m x 2.5m)) = 2.7kN + 7.2kN + 20.61kN = 30.51kN

b) Beam Self-weight = 1.08kN/m x (1.5m + 3.79m + 2.5m)

= 8.41kN

c) Brick Wall = 8.69kN/m x (1.5m + 3.79m + 2.5m) = 67.7kN Total Dead Load of Ground Floor = 30.51kN + 8.41kN + 67.7kN = 106.62kN

Total Dead Load from Roof to Foundation on Column C/3

= 17.89kN + 105.99kN + 106.62kN = 230.5kN

Live Load

1) Roof

Live Load of Flat Roof Slab

= 0.5kN/m2 x 9.48m2

= 2.03kN

2) First Floor Slab (Storage + toilet + studio) = (2.5kN/m2 x 6.48m2) + (2.0kN/m2 x 3m2) = 22.2kN

3) Ground Floor Slab (Maid’s Room + toilet + Painting room) = (2.0kN/m2 x 3.75m2) + (2.5kN/m2 x 5.73m2) = 21.83kN

Total Live Load from Roof to Foundation on Column C/3

= 2.03kN + 22.2kN + 21.83kN = 46.06kN

Ultimate Load

230.5kN (1.4) + 46.06kN (1.6) = 396.4kN