Project 2: Extension of R.C Bungalow

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Project 2 Extension of a R.C Bungalow Building Structures (2522/ 2523) Individual Extension Proposal Report Yap Zhong Lin 0310557 Tutor: Ms Ann

Transcript of Project 2: Extension of R.C Bungalow

Project 2

Extension of a R.C Bungalow

Building Structures (2522/ 2523)

Individual Extension Proposal Report

Yap Zhong Lin 0310557

Tutor: Ms Ann

YAP ZHONG LIN 0310557

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Extension Proposal

Architectural Plans (Scale 1:100)

1. Foundation Floor Plan

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2. Ground Floor Plan

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3. First Floor Plan

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4. Roof Plan

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Structural Plans (Scale 1:100)

1. Foundation Floor Extension Structural Plan

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1. Ground Floor Extension Structural Plan

1 3 4 5

2 6

G

MAID ROOM

F

E

STORE

ROOM

D AV ROOM

C

B

A

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3. First Floor Extension Structural Plan

1 2 4 6

3 5

G

STUDY ROOM

F

BATHROOM

E

D

C LIVING ROOM

GYM ROOM

B

A

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4. Roof Extension Structural Plan

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3D Sketch-Up Extension Model Perspectives

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Quantity Dead Loads Acting

On Structure

Beam Self-Weight

= Beam Size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/ m3

= 1.08 kN/ m

Ground Floor

Assume slab thickness = 150mm

Maid Room:

Slab self-weight

= 0.15 m x 24 kN/ m3

= 3.6 kN/ m2

Store Room:

Slab self-weight

= 0.15 m x 24 kN/ m3

= 3.6 kN/ m2

Bed Room:

Slab self-weight

= 0.15 m x 24 kN/ m3

= 3.6 kN/ m2

Corridor:

Slab self-weight

= 0.15 m x 24 kN/ m3

= 3.6 kN/ m2

Brick Wall:

= Wall Height x Thickness x Density

= 3.05 m x 0.15 m x 19 kN/ m2

= 8.69 kN/ m

Quantity Live Loads Acting

On Structure

Ground Floor

Maid Room:

2.0 kN/ m2

Store Room:

2.5 kN/ m2

Bed Room:

2.0 kN/ m2

Corridor:

2.0 kN/ m2

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Identify One Way Slab or Two Way Slab

Ly = Longer side of slab

Lx = Shorter side of slab

When Ly/ Lx > 2, it is a one way

slab.

When Ly/ Lx < 2, it is a two way

slab.

Ground Floor

Maid Room:

= 4.141 m/ 2.832 m

= 1.47 < 2 (two way slab)

Store Room:

= 3.302 m/ 2.648 m

= 1.25 < 2 (two way slab)

Bed Room:

= 4.490 m/ 3.501 m

= 1.28 < 2 (two way slab)

Corridor:

= 2.749 m/ 2.648 m

= 1.04 < 2 (two way slab)

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Load Distribution Diagram

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Beam Analysis Calculation 1

Ground Floor Beam: D/ 1 - 3

1) Carries self-weight (Dead Load)

2) Slab (Dead Load & Live Load)

> D1 - E/ 5 - 5a (two way slab)

> D1 - B1/ 5 - 5a (two way slab)

Brick Wall:

= Wall Height x Thickness x Density

= 3.05 m x 0.15 m x 19 kN/ m3

= 8.69 kN/ m

Beam Self-Weight:

= Beam Size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/ m3

= 1.08 kN/ m

Dead Load on Slab D-F/ 1-3(two way slab)

Load is transferred to beam D1/ 1-3 in a UDL form

Dead Load from slab D-F/ 1-3

= dead load on slab x [ (Lx/ 2) x 2/3 ]

= 3.6 kN/ m2 x [ (2.648 m /2) x 2/3 ]

= 3.18 kN/ m

Dead Load on Slab A-D/ 1-3(two way slab)

Load is transferred to beam D1/ 1-3 in a UDL form

Dead Load from slab A-D/ 1-3

= dead load on slab x [ (Lx/ 2) x 2/3 ]

= 3.6 kN/ m2 x [ (2.648 m /2) x 2/3 ]

= 3.18 kN/ m

Total Dead Load for 1-3

= 1.08 kN/ m + 8.69 kN/ m + 3.18 kN/ m + 3.18 kN/ m

= 16.13 kN/ m

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Total Dead Load Diagram

1 3

2.648 m

1.08 kN/ m

8.69 kN/ m

3.18 kN/ m

3.18 kN/ m

16.13 kN/ m

Beam Self - Weight

Brick Wall

Slab D-F/ 1-3

Slab A-D/ 1-3

Total Dead Load

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Live Load on Slab D-F/ 3-6(two way slab)

Load is transferred to beam D1/ 3-6 in a UDL form

Dead Load from slab D-F/ 3-6

= live load on slab x [ (Lx/ 2) x 2/3 ]

= 2.5 kN/ m2 x [ (2.648 m /2) x 2/3 ]

= 2.21 kN/ m

Live Load on Slab A-D/ 3-6(two way slab)

Load is transferred to beam D1/ 3-6 in a UDL form

Live Load from slab A-D/ 3-6

= live load on slab x [ (Lx/ 2) x 2/3 ]

= 2.0 kN/ m2 x [ (2.648 m /2) x 2/3 ]

= 1.77 kN/ m

Total Live Load for 3-6

= 2.21 kN/ m + 1.77 kN/ m +

= 3.98 kN/ m

Total Live Load Diagram

1.77 kN/ m

Slab A-D/ 1-3

3.98 kN/ m

Total Live Load

2.21 kN/ m

Slab D-F/ 1-3

1 3

2.648 m

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Ultimate Load

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

Dead Load of 3-6

= 16.13 kN/ m x 1.4

= 22.58 kN/ m

Live Load of 3-6

= 3.98 kN/ m x 1.6

= 6.37 kN/ m

Ultimate Load

= 22.58 kN/ m + 6.37 kN/ m

= 28.95 kN/ m

Ultimate Load Diagram

Reactions

ΣMA = 0

= RB ( 2.648) - 28.95 kN/ m ( 2.648)(2.648/ 2)

= 2.648 RB - 101.5

RB = 38.33 kN

ΣFy = 0

= RB + RA - 2.648 ( 28.95)

= 38.33 + RA - 76.66

RA = 38.33 kN

28.95 kN/ m

Ultimate Load

1 3

2.648 m

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Load Diagram

Shear Force Diagram

Bending Moment Diagram

1 3

2.648 m

RB RA

38.33 kN 38.33 kN

RB RA

0 kN

50.75 kN

28.95 kN/ m

0 kN

38.33 kN

- 38.33 kN

RB RA

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Beam Analysis Calculation 2

Ground Floor Beam: C/ 3-6

1) Carries self-weight (Dead Load)

2) Slab (Dead Load & Live Load)

> C - F/ 3 - 6(two way slab)

3) Brick Wall (Dead Load)

Brick Wall:

= Wall Height x Thickness x Density

= 3.05 m x 0.15 m x 19 kN/ m3

= 8.69 kN/ m

Beam Self-Weight:

= Beam Size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/ m3

= 1.08 kN/ m

Dead Load on Slab C- F/ 3 - 6(two way slab)

Load is transferred to beam G/ 1-4 in a UDL form

Dead Load on slab C-F/ 3-6

= dead load on slab x [ (Lx/ 2) x 2/3 ]

= 3.6 kN/ m2 x [ (3.501 m /2) x 2/3 ]

= 4.2 kN/ m

Total Dead Load for 3-6

= 1.08 kN/ m + 8.69 kN/ m + 4.2 kN/ m

= 13.97 kN/ m

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Total Dead Load Diagram

1.08 kN/ m

8.69 kN/ m

4.2 kN/ m

Beam Self - Weight

Brick Wall

Slab C- F/ 3-6

13.97 kN/ m

Total Dead Load

3 6

3.501 m

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Live Load on Slab C-F/ 3-6(two way slab)

Load is transferred to beam G/ 1-4 in a UDL form

Live Load from slab C-F/ 3-6

= live load on slab x [ (Lx/ 2) x 2/3 ]

= 3.0 kN/ m2 x [ (3.501 m /2) x 2/3 ]

= 3.5 kN/ m

Total Live Load for 3-6

= 3.5 kN/ m

Total Live Load Diagram

3.5 kN/ m

Total Live Load

3.5 kN/ m

Slab C-F/ 3-6

3 6

3.501 m

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Ultimate Load

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

Dead Load of 3-6

= 13.97 kN/ m x 1.4

= 19.56 kN/ m

Live Load of 3-6

= 3.5 kN/ m x 1.6

= 5.6 kN/ m

Ultimate Load

= 19.56 kN/ m + 5.6 kN/ m

= 25.16 kN/ m

Ultimate Load Diagram

Reactions

ΣMA = 0

= RB ( 3.501) - 25.16 kN/ m ( 3.501)(3.501/ 2)

= 3.501 RB - 154.19

RB = 44.04 kN

ΣFy = 0

= RB + RA - 3.501 ( 25.16)

= 44.04 + RA - 88.08

RA = 44.04 kN

25.16 kN/ m

Ultimate Load

3 6

3.501 m

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Load Diagram

Shear Force Diagram

Bending Moment Diagram

RB RA

44.04 kN 44.04 kN

RB RA

0 kN

38.55 kN

3 6

3.501 m

25.16 kN/ m

0 kN

44.04 kN

- 44.04 kN

RB RA

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Beam Analysis Calculation 3

Ground Floor Beam: A-F/ 1

1) Carries self-weight (Dead Load)

2) Slab (Dead Load & Live Load)

> slab D-F/ 1-3 (two way slab)

> slab A-F/ 1-3 (two way slab)

> slab C-F/ 3-6 (two way slab)

3) Brick Wall (Dead Load)

4) Point Load of Beam

> Beam D/ 1-3 = 38.33 kN/ m

> Beam G/ 1-4 = 44.04 kN/ m

Brick Wall:

= Wall Height x Thickness x Density

= 3.05 m x 0.15 m x 19 kN/ m3

= 8.69 kN/ m

Beam Self-Weight:

= Beam Size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/ m3

= 1.08 kN/ m

Dead Load on Slab D-F/ 1-3(two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Dead Load on slab D-F/ 1-3

= dead load on slab x (Lx/ 2)

= 3.6 kN/ m2 x (2.648 m/ 2)

= 4.77 kN/ m

Dead Load on Slab A-F/ 1-3 (two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Dead Load on slab A-F/ 1-3

= dead load on slab x (Lx/ 2)

= 3.6 kN/ m2 x (2.648 m/ 2)

= 4.77 kN/ m

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Dead Load on Slab C-F/ 3-6(two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Dead Load on slab C-F/ 3-6

= dead load on slab x (Lx/ 2)

= 3.6 kN/ m2 x (3.501 m/ 2)

= 6.3 kN/ m

Total Dead Load

= 1.08 kN/ m + 8.69 kN/ m + 4.77 kN/ m + 4.77 kN/ m + 6.3 kN/ m

= 25.61 kN/ m

Total Dead Load Diagram

1.08 kN/ m

Beam Self - Weight

8.69 kN/ m

Brick Wall

4.77 kN/ m

Slab D-F/ 1-3

A F D

4.77 kN/ m

Slab A-D/ 1-3

Slab C- F/ 3-6

6.3 kN/ m

14.54 kN/ m

Total Dead Load

19.31 kN/ m 20.84 kN/ m

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Live Load on Slab D-F/ 1-3(two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Live Load from slab D-F/ 1-3

= live load on slab x (Lx/ 2)

= 2.5 kN/ m2 x (2.648 m /2)

= 3.31 kN/ m

Live Load on Slab A-F/ 1-3 (two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Live Load from slab A-F/ 1-3

= live load on slab x (Lx/ 2)

= 2.0 kN/ m2 x (2.648 m /2)

= 2.65 kN/ m

Live Load on Slab C-F/ 3-6(two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Live Load from slab C-F/ 3-6

= live load on slab x (Lx/ 2)

= 2.0 kN/ m2 x (3.501 m /2)

= 3.5 kN/ m

Total Live Load

= 3.31 kN/ m + 2.65 kN/ m + 3.5 kN/ m

= 9.46 kN/m

Total Live Load Diagram

A F D

2.65 kN/ m

Slab A-D/ 1-3

3.31 kN/ m

Slab D-F/ 1-3

3.5 kN/ m

Slab C- F/ 3-6

3.31 kN/ m

Total Live Load

5.36 kN/ m 6.15 kN/ m

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Ultimate Load

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

Dead Load :

Slab D-F/ 1-3= 4.77 kN/ m x 1.4 = 6.68 kN/ m

Slab A-F/ 1-3 = 4.77 kN/ m x 1.4 = 6.68 kN/ m

Slab C-F/ 3-6= 6.3 kN/ m x 1.4 = 8.82 kN/ m

Live Load:

Slab D-F/ 1-3= 3.31 kN/ m x 1.6 = 5.3 kN/ m

Slab A-F/ 1-3 = 2.65 kN/ m x 1.6 = 4.24 kN/ m

Slab C-F/ 3-6= 3.5 kN/ m x 1.6 = 5.6 kN/ m

Ultimate Load:

Slab D-F/ 1-3= 6.68 kN/ m + 5.3 kN/ m = 12.1 kN/ m

Slab A-F/ 1-3 = 6.68 kN/ m + 4.24 kN/ m = 10.92 kN/ m

Slab C-F/ 3-6= 8.82 kN/ m + 5.6 kN/ m = 14.42 kN/ m

Ultimate Load Diagram

Reactions ΣMA = 0

= RB ( 1.374 + 1.374 + 3.302) - 26.52 kN/ m ( 3.302)(3.302/ 2) - 25.34

( 1.374)(1.374/ 2 + 3.302) - 10.92 ( 1.374)(1.374/2 + 1.374 + 3.302) - 38.33

(3.302) - 44.04 ( 1.374 + 3.302)

= 6.02 RB - 762.73

RB = 126.7 kN

A F D C

10.92

kN/ m

Ultimate Load

25.34

kN/ m

26.52

kN/ m

1.374 m 1.374 m 3.302 m

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ΣFy = 0

= RB + RA - (10.92 x 1.374) - (25.34 x 1.374) - (26.52 x 3.303) - 44.04 - 38.33

= 126.7 + RA - 15 - 34.82 - 87.57 - 44.04 - 38.33

RA = 93.06 kN

Load Diagram

Shear Force Diagram

Bending Moment Diagram

RB RA

93.06 kN 126.7 kN

RB RA 0 kN

117.3 kN

A F D C

10.92

kN/ m

25.34

kN/ m

26.52

kN/ m

44.04 kN/ m 38.33 kN/ m

0 kN

RB RA

93.06 kN/ m

78.16 kN/ m

0.6 kN/ m

- 0.7 kN/ m

39.03 kN/ m

126.7 kN/ m

B1 E D1 C

117.8 kN

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Beam Analysis Calculation 4

Ground Floor Beam: A-F/ 1

1) Carries self-weight (Dead Load)

2) Slab (Dead Load & Live Load)

> slab D-F/ 1-3(two way slab)

> slab A-F/ 1-3(two way slab)

3) Brick Wall (Dead Load)

4) Point Load of Beam

> Beam B / 1-3 = 38.33 kN/ m

Brick Wall:

= Wall Height x Thickness x Density

= 3.05 m x 0.15 m x 19 kN/ m3

= 8.69 kN/ m

Beam Self-Weight:

= Beam Size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/ m3

= 1.08 kN/ m

Dead Load on Slab D-F/ 1-3(two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Dead Load on slab D-F/ 1-3

= dead load on slab x (Lx/ 2)

= 3.6 kN/ m2 x (2.648 m/ 2)

= 4.77 kN/ m

Dead Load on Slab A-F/ 1-3 (two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Dead Load on slab A-F/ 1-3

= dead load on slab x (Lx/ 2)

= 3.6 kN/ m2 x (2.648 m/ 2)

= 4.77 kN/ m

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Total Dead Load

= 1.08 kN/ m + 8.69 kN/ m + 4.77 kN/ m + 4.77 kN/ m

= 19.31 kN/ m

Total Dead Load Diagram

A F

1.08 kN/ m

8.69 kN/ m

4.77 kN/ m

4.77 kN/ m

Beam Self - Weight

Brick Wall

Slab D-F/ 1-3

Slab A-D/ 1-3

19.31 kN/ m

Total Dead Load

D

3.302 m 2.749 m

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Live Load on Slab D-F/ 1-3 (two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Live Load from slab D-F/ 1-3

= live load on slab x (Lx/ 2)

= 2.5 kN/ m2 x (2.648 m /2)

= 3.31 kN/ m

Live Load on Slab A-F/ 1-3 (two way slab)

Load is transferred to beam A-F/ 1 in a UDL form

Live Load from slab A-F/ 1-3

= live load on slab x (Lx/ 2)

= 2.0 kN/ m2 x (2.648 m /2)

= 2.65 kN/ m

Total Live Load

= 3.31 kN/ m + 2.65 kN/ m

= 5.96 kN/m

Total Live Load Diagram

5.96 kN/ m

Total Live Load

A F D

3.31 kN/ m

Slab D-F/ 1-3

2.65 kN/ m

Slab A-D/ 1-3

3.302 m 2.749 m

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Ultimate Load

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

Dead Load :

Slab D-F/ 1-3= 4.77 kN/ m x 1.4 = 6.68 kN/ m

Slab A-F/ 1-3 = 4.77 kN/ m x 1.4 = 6.68 kN/ m

Live Load:

Slab D-F/ 1-3= 3.31 kN/ m x 1.6 = 5.3 kN/ m

Slab A-F/ 1-3 = 2.65 kN/ m x 1.6 = 4.24 kN/ m

Ultimate Load:

Slab D-F/ 1-3= 6.68 kN/ m + 5.3 kN/ m = 12.1 kN/ m

Slab A-F/ 1-3 = 6.68 kN/ m + 4.24 kN/ m = 10.92 kN/ m

Ultimate Load Diagram

Reactions ΣMA = 0

= RB ( 3.302 + 2.749) - 10.92 ( 3.302)(3.302/ 2) - 12.1 ( 2.749)(2.749/ 2 + 3.302) -

38.33 ( 3.302)

= 6.051 RB - 341.65

RB = 56.46 kN

ΣFy = 0

= RB + RA - (12.1 x 2.749) - (10.92 x 3.302) - 38.33

= 56.46 + RA - 33.26 - 36.06 - 38.33

RA = 51.19 kN

A F D

Ultimate Load

10.92 kN/ m 12.1 kN/ m

3.302 m 2.749 m

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Load Diagram

Shear Force Diagram

Bending Moment Diagram

RB RA 0 kN

51.19 kN/ m

17.93 kN/ m

- 20.4 kN/ m

- 56.46 kN/ m

A F D

10.92 kN/ m 12.1 kN/ m

3.302 m 2.749 m

38.33 kN/ m

RB RA

51.19 kN/ m 56.46 kN/ m

0 kN

RB RA

95 kN/ m

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Beam Analysis Calculation 5

Ground Floor Beam: G/ 1-4

1) Carries self-weight (Dead Load)

2) Slab (Dead Load & Live Load)

> C - F/ 3 - 6(two way slab)

3) Brick Wall (Dead Load)

Brick Wall:

= Wall Height x Thickness x Density

= 3.05 m x 0.15 m x 19 kN/ m3

= 8.69 kN/ m

Beam Self-Weight:

= Beam Size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/ m3

= 1.08 kN/ m

Dead Load on Slab C-F/ 3-6(two way slab)

Load is transferred to beam G/ 1-4 in a UDL form

Dead Load on slab C-F/ 3-6

= dead load on slab x (Lx/ 2)

= 3.6 kN/ m2 x [ (3.501 m /2)

= 6.3 kN/ m

Total Dead Load for 3-6

= 1.08 kN/ m + 8.69 kN/ m + 3.5 kN/ m

= 16.07 kN/ m

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Total Dead Load Diagram

1.08 kN/ m

8.69 kN/ m

4.2 kN/ m

Beam Self - Weight

Brick Wall

Slab C-F/ 3-6

16.07 kN/ m

Total Dead Load

C F

4.490 m

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Live Load on Slab C-F/ 3-6(two way slab)

Load is transferred to beam G/ 1-4 in a UDL form

Live Load from slab C-F/ 3-6

= live load on slab x (Lx/ 2)

= 2.0 kN/ m2 x (3.501 m /2)

= 3.5 kN/ m

Total Live Load for 3-6

= 3.5 kN/ m

Total Live Load Diagram

3.5 kN/ m

Total Live Load

3.5 kN/ m

Slab C-F/ 3-6

C F

4.490 m

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Ultimate Load

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

Dead Load of 3-6

= 16.07 kN/ m x 1.4

= 22.5 kN/ m

Live Load of 3-6

= 3.5 kN/ m x 1.6

= 5.6 kN/ m

Ultimate Load

= 22.5 kN/ m + 5.6 kN/ m

= 28.1 kN/ m

Ultimate Load Diagram

Reactions

ΣMA = 0

= RB ( 4.490) - 27.1(4.490)(4.490/2)

= 4.490 RB - 273.2

RB = 60.85 kN

ΣFy = 0

= RB + RA - (27.1 x 4.490)

= 60.85 + RA - 121.68

RA = 60.83 kN

28.1 kN/ m

Ultimate Load

C F

4.490 m

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Load Diagram

Shear Force Diagram

Bending Moment Diagram

RB RA

60.83 kN 60.85 kN

RB RA

0 kN

68.28 kN

C F

4.490 m

28.1 kN/ m

0 kN

60.83 kN

- 60.85 kN

RB RA

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Beam Analysis Calculation 6

Ground Floor Beam: G/ 1-4

1) Carries self-weight (Dead Load)

2) Slab (Dead Load & Live Load)

> G-F/ 1-4 (two way slab)

3) Brick Wall (Dead Load)

Brick Wall:

= Wall Height x Thickness x Density

= 3.05 m x 0.15 m x 19 kN/ m3

= 8.69 kN/ m

Beam Self-Weight:

= Beam Size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/ m3

= 1.08 kN/ m

Dead Load on Slab G-F/ 1-4 (two way slab)

Load is transferred to beam G/ 1-4 in a UDL form

Dead Load on slab G-F/ 1-4

= dead load on slab x [ (Lx/ 2) x 2/3 ]

= 3.6 kN/ m2 x [ (2.832 m /2) x 2/3 ]

= 3.4 kN/ m

Total Dead Load for 1-4

= 1.08 kN/ m + 8.69 kN/ m + 3.4 kN/ m

= 13.17 kN/ m

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Total Dead Load Diagram

1.08 kN/ m

8.69 kN/ m

3.4 kN/ m

Beam Self - Weight

Brick Wall

Slab G-F/ 1-4

13.17 kN/ m

Total Dead Load

1 4

4.151 m

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Live Load on Slab G-F/ 1-4 (two way slab)

Load is transferred to beam G/ 1-4 in a UDL form

Live Load from slab G-F/ 1-4

= live load on slab x [ (Lx/ 2) x 2/3 ]

= 2.0 kN/ m2 x [ (2.832 m /2) x 2/3 ]

= 1.89 kN/ m

Total Live Load for 1-4

= 1.89 kN/ m

Total Live Load Diagram

1.89 kN/ m

Total Live Load

1.89 kN/ m

Slab G-F/ 1-4

1 4

4.151 m

2.832 m

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Ultimate Load

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

Dead Load of 1-4

= 3.4 kN/ m x 1.4

= 4.76 kN/ m

Live Load of 3-6

= 1.89 kN/ m x 1.6

= 3.02 kN/ m

Ultimate Load

= 4.76 kN/ m + 3.02 kN/ m

= 7.78 kN/ m

Ultimate Load Diagram

Reactions

ΣMA = 0

= RB ( 4.151) - 7.78 (4.151)(4.151/2)

= 4.151 RB - 67.03

RB = 16.15 kN

ΣFy = 0

= RB + RA - (7.78 x 4.151)

= 16.15 + RA - 32.29

RA = 16.15 kN

7.78 kN/ m

Ultimate Load

1 4

4.151 m

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Load Diagram

Shear Force Diagram

Bending Moment Diagram

RB RA

16.15 kN 16.15 kN

RB RA

0 kN

33.6 kN

1 4

4.151 m

7.78 kN/ m

0 kN

16.15 kN

- 16.15 kN

RB RA

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Column Calculation Analysis

Column G/ 4

Dead Load

Roof

Flat Roof Slab:

Slab thickness = 200 mm

Slab self-weight

= 0.2 m x 24 kN/ m3

= 4.8 kN/ m2

Area = 2.075 m x 2.414 m

= 5 m2

Dead load of flat roof slab

= 4,8 kN/ m2 x 5 m2

= 24 kN

Beam Self-Weight

= 1.08 kN/ m x ( 2.075 m + 2.414 m)

= 7 kN

Total dead load on roof

= 24 kN + 7 kN

= 31 kN

First Floor

Slab (Study Room):

= 3.6 kN/ m2 x ( 2.075 m x 2.414 m)

= 18 kN

Beam Self-Weight:

= 1.08 kN/ m2 x ( 2.075 m + 2.414 m)

= 7 kN

( Tributary Area Method)

Brick Wall:

= ( Wall Height x Thickness x Density) x

( 2.075 m + 2.414 m)

= 11.77 kN/ m x 4.5 m

= 52.97 kN

Total dead load of First Floor

= 18 kN + 7 kN + 52.97 kN = 78 kN

Ground Floor

Slab ( Maid Room):

= 3.6 kN/ m2 x ( 2.076 m x 1.416 m)

= 10.59 kN

Beam Self-Weight:

= 1.08 kN/ m x ( 2.076 m + 1.416 m)

= 3.5 kN

Brick Wall:

= 11.77 kN/ m x (2.076 m + 1.416 m)

= 41.1 kN

Total dead load of Ground Floor

= 10.59 kN + 3.5 kN + 41.1 kN

= 55.2 kN

**Total dead load from Roof to

Foundation

= 31 kN + 78 kN + 55.2 kN

= 164.2 kN

Live Load

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Roof

Flat roof slab

= 0.5 kN/ m2 x ( 1.4175 m x 2.075 m)

= 1.47 kN

First Floor

Slab (Study Room):

= 2.5 kN/ m2 x ( 2.075 m x 2.414 m )

= 12.52 kN

Ground Floor

Slab (Maid Room):

= 2.0 kN/ m2 x ( 2.075 m x 1.416 m )

= 5.9 kN

** Total live load from Roof to

Foundation

= 1.47 kN + 12.52 kN + 5.9 kN

= 19.89 kN

Ultimate Load

= (164.2 kN x 1.4) + ( 19.89 kN x 1.6)

= 229.88 kN + 31.82 kN

= 261.7 kN

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Column F/ 1

Dead Load

Roof

Flat Roof Slab:

Slab thickness = 200 mm

Slab self-weight

= 0.2 m x 24 kN/ m3

= 4.8 kN/ m2

Area = 5.32 m x 2.4 m

= 12.77 m2

Dead load of flat roof slab

= 4,8 kN/ m2 x 12.77 m

2

= 61.3 kN

Beam Self-Weight

= 1.08 kN/ m x ( 5.32 m + 2.4 m)

= 8.34 kN

Total dead load on roof

= 61.25 kN + 8.34 kN

= 69.6 kN

First Floor

Slab (Study Room):

= 3.6 kN/ m2 x ( 1.4175 m x 2.4 m)

= 12.24 kN

Slab (Living Room):

= 3.6 kN/ m2 x (3.9 m x 2.4 m)

= 33.84 kN

Beam Self-Weight:

= 1.08 kN/ m2 x ( 1.4175 m + 3.9 m +

2.4 m)

= 8.33 kN

Brick Wall:

= ( Wall Height x Thickness x Density) x

( 1.4175 m + 3.9 m + 2.4)

= 90.83 kN

Total dead load of First Floor

= 12.24 kN + 33.84 kN + 8.33 kN +

90.83 kN

= 78 kN

Ground Floor

Slab ( Maid Room):

= 3.6 kN/ m2 x ( 2.076 m x 1.416 m)

= 10.59 kN

Slab (Store Room):

= 3.6 kN/ m2 x (1.651 m x 1.324 m)

= 7.87 kN

Beam Self-Weight:

= 1.08 kN/ m x ( 1.416 m + 1.651 m +

1.324 m)

= 4.74 kN

Brick Wall:

= 11.77 kN/ m x (1.416 m + 1.651 m +

1.324 m)

= 51.68 kN

Total dead load of Ground Floor

= 10.59 kN + 7.87 kN + 4.74 kN +

51.68 kN

= 74.88 kN

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**Total dead load from Roof to

Foundation

= 69.6 kN + 78 kN + 74.88 kN

= 222.48 kN

Live Load

Roof

Flat roof slab

= 0.5 kN/ m2 x ( 5.4 m x 1.2 m)

= 3.24 kN

First Floor

Slab (Study Room):

= 2.5 kN/ m2 x ( 2.075 m x 2.414 m)

= 5 kN

Slab (Living Room):

= 2.5 kN/ m2 x ( 1.2 m x 3.986 m)

= 11.96 kN

Total live load of First Floor

= 5 kN + 11.96 kN

= 16.96 kN

Ground Floor

Slab (Maid Room):

= 2.0 kN/ m2 x ( 2.075 m x 1.416 m)

= 5.9 kN

Slab (Corridor):

= 2.0 kN/ m2 x ( 1.324 m x 1.375 m)

= 3.64 kN

Total live load of Ground Floor

= 5.9 kN + 3.64 kN

= 9.54 kN

** Total live load from Roof to

Foundation

= 3.24 kN + 16.96 kN + 9.54 kN

= 29.74 kN

Ultimate Load

= (74.88 kN x 1.4) + ( 29.74 kN x 1.6)

= 104.83 kN + 47.58 kN

= 152.41 kN

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Column C/ 6

Dead Load

Ground Floor

Slab ( Bed Room):

= 3.0 kN/ m2 x ( 2.245 m x 1.751 m)

= 10.59 kN

Beam Self-Weight:

= 1.08 kN/ m x ( 2.245 m + 3.93 m)

= 6.7 kN

Brick Wall:

= 11.77 kN/ m x (2.245 m + 1.741 m)

= 34.73 kN

**Total dead load from Roof to

Foundation

= 10.59 kN + 6.7 kN + 34.73 kN

= 52.02 kN

Live Load

Ground Floor

Slab (Bed Room):

= 2.0 kN/ m2 x ( 2.245 m x 1.751 m)

= 7.86 kN

** Total live load from Roof to

Foundation

= 7.86 kN

Ultimate Load

= (52.02 kN x 1.4) + ( 7.84 kN x 1.6)

= 72.82 kN + 12.54 kN

= 85.36 kN