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BStructure calculation

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Page 1: BStructure calculation

Tan Sheau Hui 0319235

1 | P a g e

Tan Sheau Hui

0319235

Page 2: BStructure calculation

Tan Sheau Hui 0319235

2 | P a g e

Beam

Calculation

Page 3: BStructure calculation

Tan Sheau Hui 0319235

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Beam Calculation

1. Beam B2/3-4 (Ground Floor)

Ground floor plan Structural plan

Basic information

Slab thickness : 0.15m

Wall thickness : 0.15m

Wall height : 3m

Beam size : Primary beam : 0.2m x 0.4m

: Secondary beam: 0.2m x 0.3m

Column size : 0.3m x 0.4m x 3m

Brick wall : 19kN/m2

RC : 24kN/m3

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

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Dead Load

Slab self-weight

= 0.15m × 24kN/m3

= 3.6kN/m2

Dead load on slab B-B2/3-4

= 3.6kN/m2 × (2m/2)

= 3.6kN/m

Dead load on slab B2-c/3-4

= 3.6kN/m2 × (2.35m/2)

= 4.23kN/m

Brick wall weight

= 3m × 0.15m × 19kN/m2

Beam self-weight

= 0.2m × 0.3m × 24kN/m2

= 1.44kN/m

Total Dead Load

For 1-2

= 3.6kN/m + 4.23kN/m + 8.55kN/m + 1.44kN/m

= 17.82kN/m

Live Load

Live load on slab B-B2/3-4

= 2kN/m2 × (2m/2)

= 2kN/m

Live load on slab B2-C/3-4

= 1.5kN/m2 × (2.35m/2)

= 1.7625kN/m

Total Live Load

For 3-4

= 2kN/m + 1.7625kN/m

= 3.7625kN/m

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Ultimate Load

Ultimate dead load 3-4

= 17.82kN/m × 1.4

= 24.948kN/m

Ultimate live load 3-4

= 3.7625kN/m × 1.6

= 6.02kN/m

Total ultimate load 3-4

= 24.948kN/m + 6.02kN/m

= 30.968kN/m

Ultimate Load Diagram

∑ƒy=0

R3 = R4

(30.968kN/m × 3.925m)/2

= 60.7747kN/m

(Point load on beam B-C/4)

Positive area

= 1/2 (60.77) (1.9625)

= 59.63 ~ 60

Negative area

= 1/2 (60.77) (1.9625)

= 59.63 ~ 60

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Beam Calculation

2. Beam B-C/4 (Ground Floor)

Ground floor plan Structural plan

Basic information

Slab thickness : 0.15m

Wall thickness : 0.15m

Wall height : 3m

Beam size : Primary beam : 0.2m x 0.4m

: Secondary beam: 0.2m x 0.3m

Column size : 0.3m x 0.4m x 3m

Brick wall : 19kN/m2

RC : 24kN/m3

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

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Dead Load

Slab self-weight

= 0.15m × 24kN/m3

= 3.6kN/m2

Dead load on slab B-B2/3-4

= 3.6kN/m2 × (2m/2) × 2/3

= 2.4kN/m

Dead load on slab B2-C/3-4

= 3.6kN/m2 × (2.35m/2) × 2/3

= 2.82kN/m

Dead load on slab B-C/4-5

= 3.6kN/m2 × (3.925m/2)

= 7.065kN/m

Brick wall weight

= 3m × 0.15m × 19kN/m2

= 8.55kN/m

Beam self-weight

= 0.2m × 0.4m × 24kN/m2

= 1.92kN/m

Total Dead Load

For B-B2

= 2.4 + 2.82 + 7.065 + 9.55 + 1.92

= 22.755kN/m

For B2-C

= 2.4 + 2.82 + 7.065 + 1.92

= 14.205kN/m

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Live Load

Live load on slab B-B2/3-4

= 2kN/m2 × (2m/2) × 2/3

= 1.3333kN/m

Live load on slab B2-C/3-4

= 1.5kN/m2 × (3.925/2)

= 5.8875kN/m

Total Live Load

For B-C

= 1.3333 + 1.175 + 5.8875

= 8.3958kN/m

Ultimate Load

Ultimate dead load B-B2

= 22.755kN/m × 1.4

= 31.857kN/m

Ultimate dead load B2-C

= 14.205kN/m × 1.4

= 19.887kN/m

Ultimate live load B-B2

= 7.2208kN/m × 1.6

= 11.5533kN/m

Ultimate live load B2-C

= 7.0625kN/m × 1.6

= 11.3kN/m

Total ultimate load B-B2

= 31.857kN/m + 11.5533kN/m

= 43.4103kN/m

Total ultimate load B2-C

= 19.887kN/m + 11.3kN/m

= 31.187kN/m

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Ultimate Load Diagram

Point load 60.77kN/m taken from 1. Beam B2/3-4

∑mA=0

0 = RcY(4.35) – 86.8206(1) – 60.7747(2)

– 73.2895(3.175)

= 4.35RcY – 96.8206 – 121.5494

– 232.6942

RcY = 103.6929

∑ƒy=0

0 = RbY + 103.6929 – 86.8206 – 60.7747 –

73.2895

RbY = 117.1919

Positive area

1/2 (117.2 + 30.38) × 2

= 147.58

~ 150

Negative area

1/2 (30.39 + 103.7) × 2.35

= 147.56

~ 150

150 - 150 = 0

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Beam Calculation

3. Beam A1/2-3 (First Floor)

First floor plan Structural plan

Basic information

Slab thickness : 0.15m

Wall thickness : 0.15m

Wall height : 3m

Beam size : Primary beam : 0.2m x 0.4m

: Secondary beam: 0.2m x 0.3m

Column size : 0.3m x 0.4m x 3m

Brick wall : 19kN/m2

RC : 24kN/m3

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

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Dead Load

Slab self-weight

= 0.15m × 24kN/m3

= 3.6kN/m2

Dead load on slab A-A1/2.1-2.2

= 3.6kN/m2 × (1.95m/2) ×2/3

= 2.34kN/m

Dead load on slab A1-B/2-2.1

= 1.29kN/m

Dead load on slab A1-B/2.1-3

= 3.6kN/m2 × (1.5m/2)

= 2.7kN/m

Brick wall weight

= 3m × 0.15m × 19kN/m2

= 8.55kN/m

Beam self-weight

= 0.2m × 0.3m × 24kN/m2

= 1.44kN/m

Total Dead Load

For 2-2.1

= 1.29 + 8.55 +1.44

= 11.28kN/m

For 2.1-2.2

= 2.34 + 2.7 + 8.55 + 1.44

= 15.03kN/m

For 2.2-3

= 2.7 + 8.55 + 1.44

= 12.69kN/m

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Live Load

Live load on slab A1-B/2-2.1

= 1.5kN/m2 × (1.075m/2) × 2/3

= 0.5375kN/m

Live load on slab A-A1/2.1-2.2

= 2.0kN/m2 × (1.95m/2) × 2/3

= 1.3kN/m

Live load on slab A1-B/2.1-3

= 1.5kN/m2 × (1.5m/2)

= 1.125kN/m

Total Live Load

For 2-2.1

= 0.5375kN/m

For 2.1-2.2

= 1.3 + 1.125

= 2.425kN/m

For 2.2-3

= 1.125kN/m

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Ultimate Load

Ultimate dead load 2-2.1

= 11.28kN/m × 1.4

= 15.792kN/m

Ultimate dead load 2.1-2.2

= 15.03kN/m × 1.4

= 21.042kN/m

Ultimate dead load 2.2-3

= 12.69kN/m × 1.4

= 17.766kN/m

Ultimate live load 2-2.1

= 0.5375kN/m × 1.6

= 0.86kN/m

Ultimate live load 2.1-2.2

= 2.425kN/m × 1.6

= 3.88kN/m

Ultimate live load 2.2-3

= 1.125kN/m × 1.6

= 1.8kN/m

Total ultimate load 2-2.1

= 15.792 + 0.86

= 16.652kN/m

Total ultimate load 2.1-2.2

= 21.042 + 3.88

= 24.922kN/m

Total ultimate load 2.2-3

= 17.766 + 1.8

= 19.566kN/m

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Ultimate Load Diagram

∑mA=0

0 = R3Y(4.075) – 17.9009(0.5375)

– 48.5979(2.05) – 20.5443(3.55)

= 4.075R3Y – 9.6217 – 99.6257 – 71.905

R3Y = 44.4546 ~ 44.45

∑ƒy=0

0 = R2Y + 44.45 – 17.9009 – 48.5979

– 20.5443

R2Y = 42.5918 ~ 42.59

(Point load on beam A-B/2)

x/y = 42.59/44.45 --- 1

x + y = 1.95 --- 2

x/(1.95-x) = 42.59/44.45

44.45x = 83.0505 – 42.59x

87.04x = 83.0505

x = 0.9542

y = 1.95 – 0.942

= 0.9958

Positive area

= [1/2 (42.59 + 24.6891)] + [1/2 (24.6891) (0.9542)]

= 36.1625 + 11.7792

= 47.9417 ~ 48

Negative area

= [1/2 (23.9088) (0.9958)] + [1/2 (23.9088 + 44.45) (1.05)]

= 11.9042 + 35.8884

= 47.7926 ~ 48

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Beam Calculation

4. Beam A-B/2 (First Floor)

First floor plan Structural plan

Basic information

Slab thickness : 0.15m

Wall thickness : 0.15m

Wall height : 3m

Beam size : Primary beam : 0.2m x 0.4m

: Secondary beam: 0.2m x 0.3m

Column size : 0.3m x 0.4m x 3m

Brick wall : 19kN/m2

RC : 24kN/m3

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

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Dead Load

Slab self-weight

= 0.15m × 24kN/m3

= 3.6kN/m

Dead load on slab A-B/1-2

= 3.6kN/m2 × (3.925m/2)

= 7.065kN/m

Dead load on slab A-A1/2-2.1

= 3.6kN/m2 × (1.075m/2)

= 1.935kN/m

Dead load on slab A1-B/2-2.1

= 3.6kN/m2 × (1.075m/2)

= 1.935kN/m

Brick wall weight

= 3m × 0.15m × 19kN/m2

= 8.55kN/m

Beam self weight

= 0.2m × 0.4m × 24kN/m2

= 1.92kN/m

Total Dead Load

For A-A1

= 7.065 + 1.935 + 8.55 + 1.92

= 19.47kN/m

For A1-B

= 7.065 + 1.935 + 8.55 + 1.92

= 19.47kN/m

Live Load

Live load on slab A-B/1-2

= 1.5kN/m2 × (3.925m/2)

= 2.9438kN/m

Live load on slab A-A1/2-2.1

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= 1.5kN/m2 × (1.075m/2)

= 0.8063kN/m

Live load on slab A1-B/2-2.1

= 1.5kN/m2 × (1.075m/2)

= 0.8063kN/m

Total Live Load

For A-A1

= 2.9438 + 0.8063

= 3.7501kN/m

For A1-B

= 2.9438 + 0.8063

= 3.7501kN/m

Ultimate Load

Ultimate dead load A-A1

= 19.47kN/m × 1.4

= 27.258kN/m

Ultimate dead load A1-B

= 19.47kN/m × 1.4

= 27.258kN/m

Ultimate live load A-A1

= 3.7501kN/m × 1.6

= 6.0002kN/m

Ultimate live load A1-B

= 3.7501kN/m × 1.6

6.0002kN/m

Total ultimate load A-A1

= 27.258 + 6.0002

= 33.2582kN/m

Total ultimate load A1-B

= 27.258 + 6.0002

= 33.2582kN/m

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Ultimate Load Diagram

Point load 47.59kN/m taken from 3. Beam A1/2-3

∑mA=0

0 = RbY(5) – 116.4037(1.75) – 42.59(3.5)

– 49.8873(4.25)

= 5RbY – 203.7065 - 149.065 – 212.021

RbY = 112.9585 ~ 112.96

∑ƒy=0

0 = RaY + 112.96 – 116.4037 – 42.59

– 49.8873

RaY = 95.921 ~ 95.92

x/y = 95.92/20.4837 --- 1

x + y = 3.5 --- 2

x/(3.5-x) = 95.92/20.4837

20.4837x = 335.72 – 95.92x

x = 2.8841

y = 3.5 – 2.8841

= 0.6159

Positive area

= 1/2 (95.92) (2.8841)

= 138.3647 ~ 138

Negative area

= [1/2 (1.5) (63.0737+ 112.96)]

+ [1/2 (0.6159) (20.4837)]

= 132.0253 + 6.308

= 138.3333 ~ 138

x = 1/2 × 20.4837 × 0.6159

= 6.308

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Beam Calculation

5. Beam D-E1/4.1 (First Floor)

First floor plan Structural plan

Basic information

Slab thickness : 0.15m

Wall thickness : 0.15m

Wall height : 3m

Beam size : Primary beam : 0.2m × 0.4m

: Secondary beam: 0.2m × 0.3m

Column size : 0.3m x 0.4m x 3m

Brick wall : 19kN/m2

RC : 24kN/m3

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

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Dead Load

Slab self-weight

= 0.15m × 24kN/m2

= 3.6kN/m2

Dead load on slab D-E/4-4.1

= 3.6kN/m2 × (1.025m/2)

= 1.845kN/m

Dead load on slab E-E1/4-4.1

= 3.6kN/m2 × (0.85m/2) × 2/3

= 1.02kN/m

Brick wall weight

= 3m × 0.15m × 19kN/m2

= 8.55kN/m

Beam self-weight

= 0.2m × 0.3m × 24kN/m2

= 1.44kN/m

Total Dead Load

For D-E

= 1.845 + 8.55 + 1.44

= 11.835kN/m

For E-E1

= 1.02 + 8.55 + 1.44

= 11.01kN/m

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Live Load

Live load on slab D-E/4-4.1

= 1.5kN/m2 × (1.025m/2)

= 0.7688kN/m

Live load on slab E-E1/4-4.1

= 1.5kN/m2 × (0.85m/2) × 2/3

= 0.425kN/m

Total Live Load

For D-E

= 0.7688kN/m

For E-E1

= 0.425kN/m

Ultimate Load

Ultimate dead load D-E

= 11.835kN/m × 1.4

= 16.597kN/m

Ultimate dead load E-E1

= 11.01kN/m × 1.4

= 15.414kN/m

Ultimate live load D-E

= 0.7688kN/m × 1.6

= 1.23kN/m

Ultimate live load E-E1

= 0.425kN/m × 1.6

= 0.68kN/m

Total ultimate load D-E

= 16.597kN/m + 1.23kN/m

= 17.827kN/m

Total ultimate load E-E1

= 15.414kN/m + 0.68kN/m

= 16.094kN/m

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Ultimate Load Diagram

∑mA=0

0 = ReY(4) – 71.308(2) – 13.6799(4.425)

4ReY = 142.616 + 60.5336

ReY = 50.79

(Point load on beam E/3-4.1)

∑ƒy=0

0 = RdY + 50.79 – 71.308 – 13.6799

RdY = 34.2

x/(4 – x) = 37.108/34.2

34.2x = 148.432 – 34.2

x = 2.08

Positive area

= [1/2 (34.2) (4.208)] + [1/2 (0.85) (13.682)]

= 32.832 + 5.815

= 38.647 ~ 39

Negative area

= 1/2 (2.08) (37.108)

= 38.59 ~ 39

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Beam Calculation

6. Beam E/3-4.1 (First Floor)

Ground floor plan Structural plan

Basic information

Slab thickness : 0.15m

Wall thickness : 0.15m

Wall height : 3m

Beam size : Primary beam : 0.2m × 0.4m

: Secondary beam: 0.2m × 0.3m

Column size : 0.3m x 0.4m x 3m

Brick wall : 19kN/m2

RC : 24kN/m3

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

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Dead Load

Slab self-weight

= 0.15m × 24kN/m3

= 3.6kN/m2

Dead load on slab D-E/3-4

= 3.6kN/m2 × (3.95m/2) × 2/3

= 4.71kN/m

Dead load on slab E-E1/3-4

= 3.6kN/m2 × (0.85m/2)

= 1.53kN/m

Dead load on slab E-E1/4-4.1

= 3.6kN/m2 × (0.85m/2)

= 1.53kN/m

Beam self-weight

= 0.2m × 0.4m × 24kN/m2

= 1.92kN/m

Total Dead Load

For 3-4

= 4.71 + 1.53 + 1.92

= 8.16kN/m

For 4-4.1

= 1.53 + 1.92

= 3.45kN/m

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Live Load

Live load on slab D-E/3-4

= 1.5kN/m2 × (3.925m × 2) × 2/3

= 1.9625kN/m

Live load on slab E-E1/3-4

= 1.5kN/m2 × (0.85m/2)

= 0.6375kN/m

Live load on slab E-E1/4-4.1

= 1.5kN/m2 × (0.85m/2)

= 0.6375kN/m

Total Live Load

For 3-4

= 1.9625 + 0.6375

= 2.6kN/m

For 4-4.1

= 0.6375kN/m

Ultimate Load

Ultimate dead load 3-4

= 8.16kN/m × 1.4

= 11.424kN/m

Ultimate dead load 4-4.1

= 3.45kN/m × 1.4

= 4.83kN/m

Ultimate live load 3-4

= 2.6kN/m × 1.6

= 4.16kN/m

Ultimate live load 4-4.1

= 0.6375kN/m × 1.6

= 1.02kN/m

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Total ultimate load 3-4

= 11.424 + 4.16

= 15.584kN/m

Total ultimate load 4-4.1

= 4.83 + 1.02

= 5.85kN/m

Ultimate Load Diagram

Point load 50.79kN/m taken from 5. Beam D-E1/4.1

∑mA=0

0 = R4Y(3.925) – 61.1672(1.9625) – 5.9963(4.4375)

– 50.79(4.95)

3.925R4Y = 120.0406 + 26.6086 + 251.4105

R4Y = 101.4165

∑ƒy=0

0 = R3Y + 101.4165 – 61.1672 – 5.9963 – 50.79

R3Y = 16.537

x/(3.925 – x) = 44.6302/16.537

16.537x = 175.17 – 44.6302x

x = 2.86

Positive area

= [1/2 (16.537) (3.925 – 2.86)] +

[1/2 (56.7863 + 50.79) (1.025)]

= 8.806 + 55.1329

= 63.9 ~ 64

Negative area

= 1/2 (44.6302) (2.86)

= 63.8212 ~ 64

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Column

Calculation

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Column Calculation

1. Column B4

Ground floor plan First floor plan

Ground floor roof plan First floor roof plan

(Column B4 does not touch

ground floor roof structure)

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Ground floor structural plan First floor structural plan

First floor structural plan

Basic information

Height of the floors : 3m

Brick wall thickness : 150mm

Dead Load= 3m × 0.15m × 19 kN/m3= 8.55kN/m

Beam size : Primary beam : 0.2m × 0.4m

Dead Load= 0.2 m × 0.4 m × 24 kN/m3= 1.92kN/m

: Secondary beam: 0.2m × 0.3m

Dead Load= 0.2 m × 0.3 m × 24 kN/m3= 1.44kN/m

Slab thickness : 150mm,

Dead Load= 0.15m × 24 kN/m3= 3.6 kN/m2

Column size : 0.3m × 0.4m × 3m

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Dead Load= 0.3m × 0.4m × 3m × 24 kN/m3 = 8.64 kN

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

First Floor Roof Level

Total slab area = (1.926m + 1.025m) (2.5m + 2.175m)

= 2.9875m × 4.675m

= 13.97m2

Total beam length = 2.5m + 1.9625m + 2.175m + 1.025m

= 7.66m

Dead Load

Slab = 13.97m2 × 3.6kN/m2

= 50.292kN

Roof beam = 7.66m × 1.08kN/m

= 8.2728kN

Total dead load = 50.292kN + 8.2728kN

= 58.5648kN

First Floor

Total slab area = (1.9625m + 1.025m) (2.5m + 2.175m)

= 2.9875m × 4.675m

= 13.97m2

Total beam length

Primary = 2.5m + 1.9625m + 2.175m + 1.025m

= 7.66m

Secondary = 1.9625m + 1.025m + 2.5m + 2.175m

= 7.66m

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Dead Load

Walls (none)

Slabs = 13.97m2 × 3.6kN/m2

= 50.292kN

Beams

Primary = 7.66m × 1.92kN/m

= 14.7072kN

Secondary = 7.66m × 1.44kN/m

= 11.03m

Column = 8.64kN

Total dead load = 50.292kN +14.7072kN + 11.03m + 8.64kN

= 84.6692kN

Ground Floor

Total slab area = 1.9625m × 2.175m

= 4.14m2

Total beam length

Primary beam= 1.9625m + 1.9625m + 2.175m

= 6.1m

Secondary beam= 1.9625m

Total beam = 6.1m + 1.9625m

= 8.0625m

Total wall length = 8.0625m

Dead Load

Walls = 8.0625m × 8.55kN/m

= 68.934kN

Slabs = 4.14m2 × 3.6kN/m2

= 14.904kN

Beams

Primary = 6.1m × 1.92kN/m

= 11.712kN

Secondary = 1.9625m × 1.44kN/m

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= 2.826kN

Column = 8.64kN

Total dead load = 68.934kN + 14.904kN + 11.712kN + 2.826kN + 8.64kN

= 107.016kN

Live Load

First floor

Bedroom = (2.9875m × 4.675m) (1.5kN/m2)

= 20.95kN

Ground Floor

Toilet = (1.9625m × 2.175m) (2kN/m2)

= 8.54kN

Kitchen = (1.9625m × 2.175m) (3kN/m2)

= 12.81kN

Total Dead Load

= 58.5648kN + 84.6692kN + 107.016kN

= 250.25kN

Total Live Load

= 20.59kN + 8.54kN + 12.81kN

= 42.3kN

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Ultimate load on column B4

Ultimate dead load = 250.25kN × 1.4

= 350.35kN

Ultimate live load = 42.3kN × 1.6

= 67.68kN

Total ultimate load = 350.35kN + 67.68kN

= 418.03kN

N = 0.4fcuAc + 0.8 fyAsc

N = capacity of concrete

Fcu = concrete strength (N/mm2)

Ac = cross section of concrete column

fcu = yield strength of steel (N/mm2)

Asc = steel content in a column

Given that fcu = 30N/mm2 and fy = 460N/mm2.

Assuming percentage of steel reinforcement in a rectangular concrete column is 2%,

determine the capacity of the column.

Ac = 300 × 400 = 120,000

Asc = 2 % × 120,000 = 2,400

N = 0.4fcuAc + 0.8 fyAsc

= 0.4(30)(120000) + 0.8(460)(2400)

= 1440,000 + 883,200

= 2323200 N = 2323.2kN

Thus, this column can sustain any ultimate load below 2323.2 kN.

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Column Calculation

2. Column E3

Ground floor plan First floor plan

Ground floor roof plan First floor roof plan

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Ground floor structural plan First floor structural plan

Ground floor structural plan First floor structural plan

Basic information

Height of the floors : 3m

Brick wall thickness : 150mm

Dead Load= 3m x 0.15m x 19 kN/m3= 8.55kN/m

Beam size : Primary beam : 0.2m x 0.4m

Dead Load= 0.2 m x 0.4 m x 24 kN/m3= 1.92kN/m

: Secondary beam: 0.2m x 0.3m

Dead Load= 0.2 m x 0.3 m x 24 kN/m3= 1.44kN/m

Slab thickness : 150mm,

Dead Load= 0.15m x 24 kN/m3= 3.6 kN/m2

Column size : 0.3m x 0.4m x 3m

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Dead Load= 0.3m x 0.4m x 3m x 24 kN/m3 = 8.64 kN

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

First Floor Roof Level

Total slab area = (2.0375m + 1.9625m) (2m + 0.85m)

= 4m × 2.85m

= 11.4m2

Total beam length = 2.0375m + 1.9625m + 2m + 0.85m

= 6.85m

Dead Load

Slab = 11.4m2 × 3.6kN/m2

= 41.04kN

Roof beam = 6.85m × 1.92kN/m

= 13.152kN

Total dead load = 41.04kN + 13.152kN

= 54.192kN

First Floor

Total slab area = (2.0375m + 1.9625m) (2m + 0.85m)

= 4m × 2.85m

= 11.4m2

Total beam length

Primary = 2.0375m + 1.9625m + 2m + 0.85m

= 6.85m

Secondary = 2.02375m + 1.9625m

= 4m

Total wall length = 2m + 0.85m

= 2.85m

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Dead Load

Walls = 2.85m × 8.55kN/m

= 24.3675kN

Slabs = 11.4m2 × 3.6kN/m2

= 41.04kN

Beams

Primary = 6.85m × 1.92kN/m

= 13.152kN

Secondary = 4m × 1.44kN/m

= 5.76kN

Column = 8.64kN

Total dead load = 24.3675kN + 41.04kN + 13.152kN + 5.76kN + 8.64kN

= 92.96kN

Ground Floor Roof Level

Total slab area = (2.0375m × 5.075m) + (1.9625m × 3.075m)

= 10.3403m2 + 6.0347m2

= 16.375m2

Total beam length = 2.0375m + 1.9625m + 2m + 3.075m

= 9.075m

Dead Load

Slab = 16.375m2 × 3.6kN/m2

= 58.95kN

Roof beam = 9.075m × 1.92kN/m

= 17.424kN

Total dead load = 58.95kN + 17.424kN

= 76.374kN

Ground Floor

Total slab area = (1.9625m) (2m + 1.5375m)

= 1.9625m × 3.5375m

= 6.9423m2

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Total beam length = 1.9625m + 2m + 1.5375m

= 5.5m

Total wall length = 2m + 1.5375m

= 3.5375m

Dead Load

Walls = 3.5375m × 8.55kN/m

= 30.2456kN

Slabs = 6.9423m2 × 3.6kN/m2

= 24.9923kN

Beams = 5.5m × 1.92kN/m

= 10.56kN

Column = 8.64kN

Total dead load = 30.2456kN + 24.9923kN + 10.56kN + 8.64kN

= 74.4379kN

Live Load

First floor

Toilet = (2.85m × 2.0375m) × 2kN/m2

= 11.6138kN

Bedroom = (2.85m × 1.9625m) × 1.5kN/m2

= 8.3897kN

Ground Floor

Living & dining = (1.9625m × 3.5375m) × 1.5kN/m2

= 10.4135kN

Total Dead Load

= 54.192kN + 92.96kN + 76.374kN + 74.4379kN

= 297.905kN

Total Live Load

= 11.6138kN + 8.3897kN + 10.4135kN

= 30.417kN

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Ultimate load on column E3

Ultimate dead load = 297.905kN × 1.4

= 417.067kN

Ultimate live load = 30.417kN × 1.6

= 48.6672kN

Total ultimate load = 417.067kN + 48.6672kN

= 465.7342kN

N = 0.4fcuAc + 0.8 fyAsc

N = capacity of concrete

Fcu = concrete strength (N/mm2)

Ac = cross section of concrete column

fcu = yield strength of steel (N/mm2)

Asc = steel content in a column

Given that fcu = 30N/mm2 and fy = 460N/mm2.

Assuming percentage of steel reinforcement in a rectangular concrete column is 2%,

determine the capacity of the column.

Ac = 300 x 400 = 120,000

Asc = 2 % x 120,000 = 2,400

N = 0.4fcuAc + 0.8 fyAsc

= 0.4(30)(120000) + 0.8(460)(2400)

= 1440,000 + 883,200

= 2323200 N = 2323.2kN

Thus, this column can sustain any ultimate load below 2323.2 kN.

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Column Calculation

3. Column E4

Ground floor plan First floor plan

Ground floor roof plan First floor roof plan

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Ground floor structural plan First floor structural plan

Ground floor structural plan First floor structural plan

Basic information

Height of the floors : 3m

Brick wall thickness : 150mm

Dead Load= 3m x 0.15m x 19 kN/m3= 8.55kN/m

Beam size : Primary beam : 0.2m x 0.4m

Dead Load= 0.2 m x 0.4 m x 24 kN/m3= 1.92kN/m

: Secondary beam: 0.2m x 0.3m

Dead Load= 0.2 m x 0.3 m x 24 kN/m3= 1.44kN/m

Slab thickness : 150mm,

Dead Load= 0.15m x 24 kN/m3= 3.6 kN/m2

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Column size : 0.3m x 0.4m x 3m

Dead Load= 0.3m x 0.4m x 3m x 24 kN/m3 = 8.64 kN

Live Load : Living area : 1.5kN/m2

: Bedroom : 1.5kN/m2

: Bathroom : 2.0kN/m2

: Kitchen : 3.0kN/m2

First Floor Roof Level

Total slab area = (2m + 0.85m) (1.9625m + 1.025m)

= 2.85m × 2.9875m

= 8.51m2

Total beam length = 2m + 0.85m + 1.9625m + 1.025m + 1.9625m

= 7.8m

Dead Load

Slab = 8.51m2 × 3.6kN/m2

= 30.636kN

Roof beam = 7.8m × 1.92kN/m

= 14.976kN

Total dead load = 30.636kN + 14.976kN

= 45.612kN

First Floor

Total slab area = (2m + 0.85m) (1.9625m + 1.025m)

= 2.85m × 2.9875m

= 8.5144m2

8.51m2

Total beam length

Primary = 1.9625m + 1.025m + 2m + 0.85m

= 5.84m

Secondary = 2m + 0.85m + 1.025m + 1.9625m

= 5.84m

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Dead Load

Walls (none)

Slabs = 8.51m2 × 3.6kN/m2

= 30.636kN

Beams

Primary = 5.84m × 1.92kN/m

= 11.2128kN

Secondary = 5.84m × 1.44kN/m

= 8.41kN

Column = 8.64kN

Total dead load = 30.636kN + 11.2128kN + 8.64kN + 8.41kN

= 58.9kN

Ground Floor Roof Level

Total slab area = 3.925m × 1.5375m

= 6.0347m2

Total beam length = 3.925m + 1.5375m

= 5.4625m

Dead Load

Slab = 6.0347m2 × 3.6kN/m2

= 21.7249kN

Roof beam = 5.4625m × 1.92kN/m

= 10.488kN

Total dead load = 21.7249kN + 10.488kN

= 32.2129kN

Ground Floor

Total slab area = (3.925m) (2m + 3.075m)

= 3.925m × 5.075m

= 19.9194m2

Total beam length = 3.925m + 5.075m

= 9m

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Dead Load

Walls (none)

Slabs = 19.9194m2 × 3.6kN/m2

= 71.7098kN

Beams = 9m × 1.92kN/m

= 17.28kN

Column = 8.64kN

Total dead load = 71.7098kN + 17.28kN + 8.64kN

= 97.6298kN

Live Load

First floor

Bedroom = 8.51m2 × 1.5kN/m2

= 12.765kN

Ground Floor

Living & dining = 19.9194m2 × 1.5kN/m2

= 29.8791kN

Total Dead Load

= 41.8488kN + 32.2129kN + 58.9kN + 97.6298kN

= 230.59kN

Total Live Load

= 12.765kN + 28.8791kN

= 42.6441kN

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Ultimate load on column E4

Ultimate dead load = 230.59kN × 1.4

= 322.83kN

Ultimate live load = 42.6441kN × 1.6

= 68.2306kN

Total ultimate load = 322.83kN + 68.2306kN

= 391.06kN

N = 0.4fcuAc + 0.8 fyAsc

N = capacity of concrete

Fcu = concrete strength (N/mm2)

Ac = cross section of concrete column

fcu = yield strength of steel (N/mm2)

Asc = steel content in a column

Given that fcu = 30N/mm2 and fy = 460N/mm2.

Assuming percentage of steel reinforcement in a rectangular concrete column is 2%,

determine the capacity of the column.

Ac = 300 x 400 = 120,000

Asc = 2 % x 120,000 = 2,400

N = 0.4fcuAc + 0.8 fyAsc

= 0.4(30)(120000) + 0.8(460)(2400)

= 1440,000 + 883,200

= 2323200 N = 2323.2kN

Thus, this column can sustain any ultimate load below 2323.2 kN.