Structural analysis of bungalow

BUILDING STRUCTURE (BLD61003) PROJECT 1

Z STRUCTURE ANALYSIS OF BUNGALOW

CHEE JIA XIN CHEW RUI BO KHOO YUNG KEAT TAN YANG WONG LIENG KAM TUTOR: MR ADIB

0327392 0322334 0324688 0328025 0323566

CONTENT

CHAPTER 1 CHAPTER 2 CHAPTER 3 CHAPTER 4 CHAPTER 5 CHAPTER 6 CHAPTER 7 CHAPTER 8 CHAPTER 9

DESIGN BRIEF ARCHITECTURAL PLAN FOUNDATION PLAN STRUCTURAL PLAN CHEE JIA XIN CHEW RUI BO KHOO YUNG KEAT TAN YANG WONG LIENG KAM

Design Brief 1. Density of materials a) Reinforced concrete: 24kN/m3 b) Brick masonry: 19 kN/m3 2. Reinforced concrete beam a) Dimensions: 0.2m (W) x 0.3m (D) b) Density of reinforced concrete: 24kN/m3 c) Self weight of beam = Dimension x density of reinforced concrete = (0.2 x 0.3)m2 x (24 kN/m3) = 1.44 kN/m 3. Reinforced concrete floor slab a) Dimensions: 0.12m (thickness) b) Density of reinforced concrete: 24kN/m3 c) Self weight of reinforced concrete floor slab = Dimension x density of reinforced concrete floor slab = 0.12m x 24 kN/m3 =2.88 kN/m2 4. Brick masonry wall a) Dimensions: 0.15m (W) x 3m (H) b) Density of brickwork: 19 kN/m3 c) Self weight of brick masonry wall = Dimension x density of brickwork = (0.15 x 3)m2 x (19 kN/m3) = 8.55 kN/m 5. Reinforced concrete column a) Dimensions: 0.3m (W) x 0.3 (L) x 3m (H) b) Density of reinforced concrete: 24kN/m3 c) Self weight of reinforced concrete column = Dimension x density of reinforced concrete = (0.3 x 0.3 x 3)m x (24 kN/m3) = 6.48 kN UBBL Live load: 1.5 kN/m Ultimate Load Dead load: 1.4 kN Live load: 1.6 kN

ARCHITECTURAL PLAN SCALE 1:200

PLANS DRAWINGS Ground Floor First Floor Roof

ARCHITECTURAL PLAN - GROUND FLOOR LEVEL SCALE 1:200

ARCHITECTURAL PLAN - FIRST FLOOR LEVEL SCALE 1:200

ARCHITECTURAL PLAN - ROOF SCALE 1:200

FOUNDATION PLAN SCALE 1:200

FOUNDATION PLAN SCALE 1:200

STRUCTURAL PLAN SCALE 1:200

TASK DISTRIBUTIONS STRUCTURAL PLAN TRIBUTARY AREA Ground Floor First Floor Roof

STRUCTURAL PLAN - FIRST FLOOR (TASK DISTRIBUTIONS) SCALE 1:200

STRUCTURAL PLAN - GROUND FLOOR (TASK DISTRIBUTIONS) SCALE 1:200

STRUCTURAL PLAN - FIRST FLOOR SCALE 1:200

STRUCTURAL PLAN - GROUND FLOOR SCALE 1:200

STRUCTURAL PLAN - ROOF SCALE 1:200

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR FIRST FLOOR COLUMN SCALE 1:200

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR GROUND FLOOR COLUMN SCALE 1:200

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR ROOF COLUMN SCALE 1:200

LOAD DISTRIBUTIONS PLAN SCALE 1:200

COLUMN LOAD DISTRIBUTIONS BEAM LOAD DISTRIBUTIONS Ground Floor First Floor Roof

STRUCTURAL PLAN - FIRST FLOOR (COLUMN LOAD DISTRIBUTIONS) SCALE 1:200

STRUCTURAL PLAN - GROUND FLOOR (COLUMN LOAD DISTRIBUTIONS) SCALE 1:200

LOAD DISTRIBUTIONS PLAN - FIRST FLOOR (BEAM LOAD DISTRIBUTIONS) SCALE 1:200

LOAD DISTRIBUTIONS PLAN - GROUND FLOOR (BEAM LOAD DISTRIBUTIONS) SCALE 1:200

TAN YANG 0328025 GROUND FLOOR

Beams B’ / 5-6 6 / B-C 5 / B-C B / 4-6

Columns B6 C6

B’ / 5-6 BEAM

Beam Calculation for B’ / 5-6 5 Dead Load

6 4000MM

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm)

1.44 kN/m Beam Self Weight

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

8.55 kN/m

Dead load on slab B-B’/5-6 = 2.88 kN/m2 x （2m/2） = 2.88kN/m

Brick Wall Weight

2.88 kN/m

Dead load on slab B’-C/5-6 = 2.88 kN/m2 x (2m/2) = 2.88 kN/m

Slab B-B’/5-6

2.88 kN/m

Total dead load on beam B’/5-6 = 1.44 kN/m + 8.55 kN/m +2.88kN/m +2.88kNm = 15.75 kN/m

Slab B’-C/5-6

15.75 kN/m Total Dead Load

5

6 4000 mm

Live Load 1.5 kN/m

Live load on slab B-B’/5-6 = 1.5 kN/m2 x 1m = 1.5kN/m

Slab 1-2 / D

1.5 kN/m Slab 1-2 / D

Live load on slab B’-C/5-6 3 kN/m

= 1.5 kN/m2 x 1m = 1.5 kN/m

Total Live Load

Total live load on beam B’/5-6 =3 kN/m

Ultimate Load

5

6 4000 mm

Total Ultimate Dead Load = 15.75 kN/m x 1.4 = 22.05 kN/m

26.85 kN/m

Total Ultimate Live Load = 3 kN/m2 x 1.6 =4.8 kN/m Total Ultimate Load = 22.05 kN/m + 4.8 kN/m = 26.85 kN/m

Total Ultimate Load

RA

RB

Reaction Force 5

Load Diagram

6 4000 mm

∑MA = 0 ∑MA = 4m RA - [(26.85kN/m x 4m)( 4m/2)] ∑ 0 = 4m RA - 214.8kN/m RA = 214.8 / 4 (kN) RA = 53.7 kN

∑Fy = 0 ∑MA = 53.7 - 107.4 + RB ∑ RB = 53.7 kN

26.85kN/m x 4m = 107.4 kN

53.7 kN

53.7 kN

RA

RB

5

6

Shear Force

4000 mm

53.7 kN - (107.4kN) = -53.7 kN 53.7 kN + 0 53.7kN

Bending Moment Diagram

53.7 kN

Positive Area: 53.7 x 2 x ½ = 53.7 kN/m Negative Area: 53.7 x 2 x ½ = 53.7 kN/m 0

6 / B-C BEAM

Beam Calculation for 6 / B-C B

C

Dead Load

2800MM

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm)

1.44 kN/m Beam Self Weight

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

8.55 kN/m

Total dead load on beam 6/B-C = 1.44 kN/m + 8.55 kN/m = 9.99 kN/m

Brick Wall Weight

9.99 kN/m Total Dead Load

B

C 2800 mm

Live Load

Total live load on beam 6/B-C =0

0 kN/m Total Live Load

Ultimate Load Total Ultimate Dead Load = 9.99 kN/m x 1.4 13.986 kN/m

B

C 2800 mm 1400mm

1400mm

53.7 kN/m 13.986 kN/m

Total Ultimate Load = 13.986 kN/m

Total Ultimate Load

Point Load from beam B’/5-6 = 53.7kN/m RA

RB

Reaction Force B

Load Diagram

C 2800 mm

∑MA = 0 ∑MA = 2.8RA+ [(-13.86)(2.8)(2.8/2)] + [(-53.7)(1.4)] ∑ 0 =2.8 RA - 54.33-75.18 RA = 129.51 / 2.8 RA = 46.25 kN

∑Fy = 0 ∑ M=46.25-53.7+[(-13.86)(2.8)] + RB + RB =-46.25+53.7+39.16 =46.25 kN

53.7 kN/m 13.986kN/m x 2.8m= 39.16kN

46.25kN

46.25 kN

RA

RB

B

C

Shear Force

2800 mm

46.25 kN - 19.4 kN = 26.85 kN 26.85 kN - 53.7 kN = -26.85 kN -26.85 kN - 19.4 kN = -46.25 kN

46.25kN

26.85kN +ve

0 -ve -26.85kN

-46.25 kN

Bending Moment Diagram

51.17 kN/m

Positive Area: (46.25+26.85) x 1.4 x ½ = 51.17 kN/m Negative Area: (46.25+26.85) x 1.4 x ½ = 51.17 kN/m 0

5 / B-C BEAM

Beam Calculation for 5 / B-C B Dead Load

C 2800MM

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm)

1.44 kN/m Beam Self Weight

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

8.55 kN/m

Dead load on slab B-C/4-5 = 2.88 kN/m2 x (1.2/2)m = 1.728 kN/m

Brick Wall Weight

1.728 kN/m

Total dead load on beam 5/B-C = 1.44 kN/m + 8.55 kN/m +1.728kN/m = 11.718 kN/m

Slab B-C/4-5

11.718 kN/m Total Dead Load

B

C 2800 mm

Live Load 0.9 kN/m

Live load on slab B-C/4-5 = 1.5 kN/m2 x 0.6m = 0.9 kN/m

Slab B-C/4-5

Total live load on beam 5/B-C = 0.9 kN/m

0.9 kN/m Total Live Load

Ultimate Load Total Ultimate Dead Load = 11.718 kN/m x 1.4 = 16.41 kN/m Total Ultimate Live Load = 0.9 kN/m2 x 1.6 =1.44 kN/m

B

C 2.800 mm

53.7 kN/m 17.85 kN/m Total Ultimate Load

Total Ultimate Load = 16.41 kN/m + 1.44 kN/m = 17.85 kN/m Point Load from beam B’/5-6 = 53.7kN/m

RA

RB

Reaction Force B

Load Diagram

C 2800 mm

∑MA = 0 ∑MA = 2.8m RA +[(-17.85kN/m x 2.8m)( 2.8m/2)]+ [(-53.7)(1.4)] ∑ 0 = 2.8m RA - 69.97kN/m - 75.18kN/m RA = 145.15 / 2.8 (kN) RA = 51.84 kN

53.7 kN 17.85 kN/m x 2.8m = 49.98 kN

∑Fy = 0 ∑MA = 51.84+(- 53.7)-49.98 + RB ∑ RB = 51.84

51.84 kN

51.84 kN

RA

RB

Shear Force

B

C 2800 mm

51.84 kN - 24.99kN = 26.85 kN 26.85 kN - 53.7 kN = -26.85 kN -26.85 kN - 24.99 kN = -51.84 kN

51.84kN 26.85kN +ve

0 -ve 26.85kN

51.84kN

Bending Moment Diagram

55.083 kN/m

Positive Area: (51.84+26.85) x 1.4 x ½ = 55.083 kN/m Negative Area: (51.84+26.85) x 1.4 x ½ = 55.083kN/m 0

B / 4-6 BEAM

Beam Calculation for B / 4-6 DEAD LOAD

5

4

4000mm

1200mm

Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm)

6

1.44 kN/m

Brick Wall Weight = 8.55kN/m (wall height is 3000mm)

Beam Self Weight

8.55 kN/m

Dead load on slab A’-B / 4 - 6 = 2.88 kN/m2 x （2.2m/2) = 3.168 kN/m

Brick Wall Weight

3.168 kN/m For 5-6, Dead load on slab B / 5-6 = 2.88 kN/m2 x (1.4/2)m = 2.016kN/m

Slab A’-B / 4-6

2.016 kN/m Slab B / 5-6

Total Dead Load for 4-5 =1.44 kN/m + 8.55 kN/m + 3.168 kN/m = 13.158kN/m

15.174 kN/m

13.158 kN/m

Total dead load

Total Dead Load for 5-6 =1.44 kN/m + 8.55 kN/m + 3.168 kN/m +2.016 kN/m = 15.174 kN/m

LIVE LOAD Live load on slab A’-B / 4-6 = 1.50 kN/m2 x 1.1m = 1.65 kN/m

5

4

4000mm

1200mm

1.65 kN/m

For 5-6 Live load on slab B/ 5-6 = 1.50 kN/m2 x 0.7m =1.05 kN/m Total Live Load for 4-5 = 1.65 kN/m Total Live Load for 5-6 = 1.65 kN/m + 1.05 kN/m =2.7 kN/m

6

Slab A-B / 4-6

6 kN/m Slab B/5-6

1.65 kN/m

2.7 kN/m Total live load

ULTIMATE LOAD Ultimate dead load at 4-5 = 13.158 kN/m x 1.4 = 18.42 kN/m

5

4 1200mm

Ultimate dead load at 5-6 =15.174 kN/m x 1.4 = 21.24 kN/m Ultimate live load at 4-5 = 1.65 kN/m x 1.6 = 2.64 kN/m Ultimate live load at 5-6 = 2.7 kN/m x 1.6 =4.32 kN/m Total Ultimate load at 4-5 = 18.42 kN/m + 2.64 kN/m = 21.06 kN/m Total Ultimate load at 5-6 = 21.24 kN/m + 4.32 kN/m = 25.56 kN/m Point Load from beam 5/B-C = 51.84 kN/m

6 4000mm

51.84 kN/m 21.06 kN/m

25.56 kN/m Total Ultimate Load

RA

RB

D

LOAD DIAGRAM ∑MA

∑Fy

=0 5200mm = 5.2RA+ (-51.84 x4) + [(-21.06 x 1.2)(4.6 )] 1200mm 4000mm + [(25.56 x 4)(2)] = 5.2RA - 207.36 – 116.25 – 204.48 51.84 kN/m = 5.2RA - 528.09 21.06 kN/m x 1.2m= 25.56 kN/m x 4m= RA. = 528.09/5.2 25.272 kN/m 102.24kNm RA. = 101.56 kN

=0 = RB – 25.272 – 51.84 – 102.24+101.56 RB =77.79 kN

101.56kN

77.79 kN

RA

SHEAR FORCE DIAGRAM

RB

101.56kN 77.28 kN

101.56 kN - 25.272 kN = 77.28 kN 77.28 kN - 51.84 kN = 25.45 kN 25.45 kN - 102.24 kN = -77.79 kN

+ve

0

25.45 kN

x

-ve

BENDING MOMENT DIAGRAM 77.79 kN X/4 = (25.45)/(77.28) X= 1.317 Positive Area =[(101.56+77.28)(1.2/2)+(25.45)(1.3/2) =107.304+16.5425 =123.85 kNm2 Negative Area = (4-1.317)(77.79/2)) =(2.683)(38.895) =104.355 kNm2

45.946 kNm2

0

B6 COLUMN

Tributary area method load analysis on Column B6

Dead load acting on column B6 Roof Roof beams for column B6 = (3.1m + 2.6m + 1.4m) x 1.44kN/m = 10.224 kN

First Floor Concrete slab = 2.6 x 3.1 x 2.88kN/m2 = 23.21 kN

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR ROOF COLUMN SCALE 1:200

Beam self weight = (4.2m + 2.6m + 1.4m) x 1.44 kN/m = 11.808 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (4.2m + 2.6m + 1.4m) x 8.55kN/m3 = 54.72 kN

Ground Floor Concrete slab = 2.5m x 2.6m x 2.88kN/m2 = 6.5 kN

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR FIRST FLOOR COLUMN SCALE 1:200

Beam self weight = (1.1m + 2.6m + 1.4m) x 1.44 kN/m = 7.344 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (1.1m x 2.6m +1.4m) x 8.55kN/m = 43.605 kN

Total dead load = 170.37 kN Apply 1.4 dead load factor = 238.52 kN

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR GROUND FLOOR COLUMN SCALE 1:200

Tributary area method load analysis on Column C2

Live load acting on column C2

First Floor Concrete slab = 2.6m x 3.1m x 1.50kN/m2 = 21.06 kN Ground Floor Concrete slab = 2.5m x 2.6m x 1.50kN/m2 = 9.75 kN

Total live load = 30.81kN Apply 1.6 live load factor = 49.3 kN

Total ultimate load = 238.52 kN + 49.3 kN = 287.82 kN

C6 COLUMN

Tributary area method load analysis on Column C6

Dead load acting on column C6 Roof Roof beams for column C6 = (1.4m + 2.6m) x 1.44kN/m = 5.76 kN

First Floor Concrete slab =0 x 2.88kN/m2 = 0 kN

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR ROOF COLUMN SCALE 1:200

Beam self weight = (2m + 1.4m ) x 1.44 kN/m = 4.896 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (2m X 1.4m) x 8.55kN/m3 = 29.07 kN

Ground Floor Concrete slab = 1.4m x 2m x 2.88kN/m2 = 9.792 kN

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR FIRST FLOOR COLUMN SCALE 1:200

Beam self weight = (1.4m + 2m ) x 1.44 kN/m = 4.896 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (2m + 1.4m) x 8.55kN/m = 29.07 kN

Total dead load = 96.44 kN Apply 1.4 dead load factor = 135.02 kN

STRUCTURAL PLAN - TRIBUTARY AREA PLAN FOR GROUND FLOOR COLUMN SCALE 1:200

Tributary area method load analysis on Column C2

Live load acting on column C2

First Floor Concrete slab = 2m x 1.4m x 1.50kN/m2 = 5.1 kN Ground Floor Concrete slab = 2m x 1.4m x 1.50kN/m2 = 5.1 kN

Total live load = 10.2kN Apply 1.6 live load factor = 16.32 kN

Total ultimate load = 135.02 kN + 16.32 kN = 151.34 kN

WONG LIENG KAM 0323566 GROUND FLOOR

Beams 1 / C-D 2’ / C’-D 2-3 / C’-D 1’-2’ / C-D

Columns D2 D3

1 / C-D BEAM

Beam Calculation for 1 / C-D Dead Load

C

D 5000 mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) 1.44 kN/m

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

Beam Self Weight

Dead Load on slab 1 / C-D = 2.88 kN/m2 x (5 m / 2) = 7.2 kN/m

8.55 kN/m Brick Wall Weight

Total Dead Load on beam 1 / C-D = 1.44 kN/m + 8.55 kN/m + 7.2 kN/m = 17.19 kN/m

7.2 kN/m Slab 1 / C-D

17.19 kN/m Total Dead Load

Live Load

C

D 5000 mm

Live Load on slab 1 / C-D = 1.5 kN/m2 x (5 m / 2) = 3.75 kN/m

3.75 kN/m

Total Live Load on beam 1 / C-D = 3.75 kN/m

Slab 1 / C-D

3.75 kN/m Total Live Load

Ultimate Load

C

D 5000 mm

Total Ultimate Dead Load = 17.19 kN/m2 x 1.4 = 24.07 kN/m Total Ultimate Live Load = 3.75 kN/m2 x 1.6 = 6 kN/m Total Ultimate Load = 24.07 kN/m + 6 kN/m = 30.07 kN/m

30.07 kN/m Total Ultimate Load

Reaction Force Load Diagram

C

D 5000 mm

∑MA = 0 ∑MA = 5 RA - (150.35 x 2.5) ∑ 0 = 5 RA - 375.88 RA = 375.88 / 5 RA = 75.18 kN

375.88 kN/m

∑Fy = 0 ∑MA = 75.18 - (30.07 x 5) + RB RB = 75.18 kN

RA

RB

Shear Force

C

D 5000 mm

75.18 kN - (30.07 kN x 5) = -75.18 kN 75.18 kN + (-75.18 kN) = 0 kN

75.18 kN

+ve

-ve

75.18 kN

Bending Moment Diagram Positive Area: 75.18 x 2.5 x ½ = 93.97 kN/m Negative Area: 75.18 x 2.5 x ½ = 93.97 kN/m

93.97 kN

2’ / C’-D BEAM

Beam Calculation for 2’ / C’-D Dead Load

C’

D 2500mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) 1.44 kN/m

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

Beam Self Weight

Dead load on slab 2-2’ / C’-D = 2.88 kN/m2 x [(2.5 m / 2) = 3.6 kN/m

8.55 kN/m Brick Wall Weight

Dead load on slab 2’-3 / C’-D = 2.88 kN/m2 x [(2.5 m / 2) = 3.6 kN/m

17.19 kN/m Slab 2’-2 / C’-D

Total Dead Load on slab For 2-2’ / C’-D = 1.44 kN/m + 8.55 kN/m + 3.6 kN/m + 3.6 kN/m = 17.19 kN/m

17.19 kN/m Slab 2’-3 / C’-D

44.37 kN/m

For 2’-3 / C’-D = 1.44 kN/m + 8.55 kN/m + 3.6 kN/m + 3.6 kN/m = 17.19 kN/m

Total Dead Load

Total Dead Load on beam 2’ / C’-D = 1.44 kN/m 8.55 kN/m 17.19 kN/m 17.19 kN/m = 44.37 kN/m Live Load

C’

D 2500 mm

Live load on slab 2-2’ / C’-D = 2 kN/m2 x (2.5 m / 2) = 2.5 kN/m

2.5 kN/m

Live load on slab 2’-3 / C’-D = 2 kN/m2 x (2.5 m / 2) = 2.5 kN/m

Slab 2’-2 / C’-D

2.5 kN/m Total Live Load on slab For 2-2’ / C’-D = 2.5 kN/m

Slab 2’-3 / C’-D

5 kN/m For 2’-3 / C’-D =2.5 kN/m Total Live Load on beam 2’ / C’-D = 2.5 kN/m + 2.5 kN/m = 5 kN/m

Total Live Load

Ultimate Load

C’

D 2500 mm

Total Ultimate Dead Load = 44.37 kN/m x 1.4 = 62.118 kN/m

70.12 kN/m

Total Ultimate Live Load = 5 x 1.6 kN/m = 8 kN/m

Total Ultimate Load

Total Ultimate Load = 62.12 kN/m + 8 kN/m = 70.12 kN/m

Reaction Force

C

D 2500 mm

Load Diagram ∑MA = 0 ∑MA = 2.5 RA - (175.3 x 1.25) ∑ 0 = 2.5 RA - 219.13 RA = 219.13 / 2.5 RA = 87.65 kN

219.13 kN/m

RA

RB

C

D

∑Fy = 0 ∑MA = 87.65 - (70.12 x 2.5) + RB RB = 87.65 kN Shear Force

2500 mm

87.65 kN - (70.12 x 2.5) = -87.65 kN 87.65 kN + (-87.65 kN) = 0 kN

87.65 kN

+ve

-ve

87.65 kN

Bending Moment Diagram Positive Area: 87.65 x 1.25 x ½ = 54.78 kN/m Negative Area: 87.65 x 1.25 x ½ = 54.78 kN/m

54.78 kN

2-3 / C’-D BEAM

Beam Calculation for 2-3 / C’-D Dead Load

2’

2

3

2250 mm

2250 mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) 1.44 kN/m

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

Beam Self Weight

Dead Load on slab 2-2’ / C’-D = 2.88 kN/m2 x (2.25 /2) x ⅔ = 2.16 kN/m

8.55 kN/m Brick Wall Weight

Dead Load on slab 2’-3 / C’-D = 2.88 kN/m2 x (2.25 /2) x ⅔ = 2.16 kN/m

2.16 kN/m Slab 2-2’ / C’-D

Total Dead Load on beam For 2-2’ / C’-D = 1.44 kN/m + 8.55 kN/m + 2.16 kN/m = 12.15 kN/m

2.16 kN/m Slab 2’-3 / C’-D

For 2’-3 / C’-D = 1.44 kN/m + 8.55 kN/m + 2.16 kN/m = 12.15 kN/m

12.15 kN/m

12.15 kN/m Total Dead Load

Live Load

2’

2

3

2250 mm

Live Load on slab 2-2’ / C’-D = 2 kN/m2 x (2.25 /2) x ⅔ = 1.5 kN/m

2250 mm

1.5 kN/m

Live Load on slab 2’-3 / C’-D = 2 kN/m2 x (2.25 /2) x ⅔ = 1.5 kN/m

Slab 2-2’ / C’-D

1.5 kN/m Total Live Load For 2-2’ / C’-D = 1.5 kN/m

Slab 2’-3 / C’-D

1.5 kN/m For 2’-3 / C’-D = 1.5 kN/m

1.5 kN/m Total Live Load

Ultimate Load

2

Total Dead Load For 2-2’ / C’-D = 1.4 x 12.15 kN/m = 17.01 kN/m

2250 mm

2’

3

2250 mm

87.65 kN/m 19.41 kN/m

19.41 kN/m

For 2’-3 / C’-D = 1.4 x 12.15 kN/m = 17.01 kN/m

Total Ultimate Load

Total Live Load For 2-2’ / C’-D = 1.6 x 1.5 kN/m = 2.4 kN/m For 2’-3 / C’-D = 1.6 x 1.5 kN/m = 2.4 kN/m Total Ultimate Load For 2-2’ = 17.01 kN/m + 2.4 kN/m = 19.41 kN/m For 2’-3 = 17.01 kN/m + 2.4 kN/m = 19.41 kN/m Point Load from beam 2’ / C’-D = 87.65 kN/m

Reaction Force

2’

2 2250 mm

3 2250 mm

87.65 kN/m

Load Diagram

43.67 kN/m

∑MA = 0 ∑MA = 4.5 RA - (43.67 x 3.375) - (43.67 x 1.125) ∑MA - (87.65 x 2.25) ∑ 0 = 4.5 RA - 147.39 - 49.16 - 197.21 RA = 393.76 / 4.5 RA = 87.50 kN

2’

2 ∑Fy = 0 ∑MA = 87.50 - 43.67 - 43.67 - 87.65 + RB RB = 87.50 kN

43.67 kN/m

1125 mm

1125 mm

3 1125 mm

1125 mm

87.65 kN/m 43.67 kN/m

RA

43.67 kN/m

RB

Shear Force

C

D 4500 mm

87.50 kN - 43.67 kN = 43.84 kN 43.84 kN - 87.65 kN = -43.84 kN

87.50 kN

+ve 87.50 kN - 43.67 kN = 43.84 kN 43.84 kN - 87.65 kN = -43.84 kN -ve

87.50 kN

Bending Moment Diagram Positive Area: (87.65 + 43.84) x 2.25 x ½ = 147.92 kN/m Negative Area: (87.65 + 43.84) x 2.25 x ½ = 147.92 kN/m

147.92 kN

1’-2’ / C-D BEAM

Beam Calculation for 1’-2’ / C-D Dead Load

C’

C

D

2200 mm

2800 mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

1.44 kN/m Beam Self Weight

Dead Load on slab 2-2’ / C-C’ = 2.88 kN/m2 x (2.2 /2) x ⅔ = 2.11 kN/m

8.55 kN/m Brick Wall Weight

Dead Load on slab 2-2’ / C’-D = 2.88 kN/m2 x (2.8 /2) = 4.03 kN/m

2.11 kN/m Slab 2-2’ / C-C’

Dead Load on slab 1’-2 / C-C’ = 2.88 kN/m2 x (2.2 /2) = 3.17 kN/m Dead Load on slab 1’-2 / C’-D = 2.88 kN/m2 x (2.8 /2) = 4.03 kN/m

4.03 kN/m Slab 2-2’ / C’-D

3.17 kN/m Slab 1’-2 / C-C’

Total Dead Load For C-C’ = 1.44 kN/m + 8.55 kN/m + 2.11 kN/m + 3.17 kN/m = 15.27 kN/m For C’-D = 1.44 kN/m + 8.55 kN/m + 4.03 kN/m + 4.03 kN/m = 18.05 kN/m

4.03 kN/m Slab 1’-2 / C’-D

15.27 kN/m

18.05 kN/m Total Dead Load

Live Load

C’

C 2200 mm

Live Load on slab 2-2’ / C-C’ = 1.5 kN/m2 x (2.2 /2) x ⅔ = 1.1 kN/m

D 2800 mm

1.1 kN/m

Live Load on slab 2-2’ / C’-D = 2 kN/m2 x (2.8 /2) = 2.8 kN/m

Slab 2-2’ / C-C’

2.8 kN/m Live Load on slab 1’-2 / C-C’ = 1.5 kN/m2 x (2.2 /2) = 1.65 kN/m

Slab 2-2’ / C’-D

1.65 kN/m Live Load on slab 1’-2 / C’-D = 1.5 kN/m2 x (2.8 /2) = 2.1 kN/m

Slab 1’-2 / C-C’

2.1 kN/m

Total Live Load For C-C’ = 1.1 kN/m + 1.65 kN/m = 2.75 kN/m

Slab 1’-2 / C’-D

4.9 kN/m

2.75 kN/m

For C’-D = 2.8 kN/m + 2.1 kN/m = 4.9 kN/m Ultimate Load

Total Live Load

C

Total Dead Load For C-C’ = 1.4 x 15.27 kN/m = 21.38 kN/m

C’

D

2200 mm

2800 mm

25.78 kN/m

33.12 kN/m Total Ultimate Load

For C’-D = 1.4 x 18.05 kN/m = 25.27 kN/m RA Total Live Load For C-C’ = 1.6 x 2.75 kN/m = 4.4 kN/m For C’-D = 1.6 x 4.9 kN/m = 7.85 kN/m Total Ultimate Load For C-C’ = 21.38 kN/m + 4.4 kN/m = 25.78 kN/m For C’-D = 25.27 kN/m + 7.85 kN/m = 33.12 kN/m Point Load from beam 2-3 / C’ = 135.51 kN/m

RB

C

C’

Reaction Force

D

2200 mm

2800 mm

135.51 kN/m

Load Diagram

56.72 kN/m ∑MA = 0 ∑MA = 5 RA - (135.51 x 2.8) - (56.72 x 3.9) - ∑MA = (92.74 x 1.4) ∑ 0 = 5 RA - 379.43 - 221.21 - 129.84 RA = 730.48 / 5 RA = 146.10 kN

92.74 kN/m Total Ultimate Load

C

C’

1100 mm1100 mm

∑Fy = 0 ∑MA = 146.10 - 56.72 - 92.74 - 135.51 + RB RB = 138.87 kN

D

1400 mm

1400 mm

135.51 kN/m 56.72 kN/m

92.74 kN/m Total Ultimate Load

RA

Shear Force 146.10 kN - 56.72 kN = 89.38 kN 89.38 kN - 135.51 kN = -46.13 kN

RB

C

C’ 2200 mm

D 2800 mm

146.1 kN/m

+ve 146.10 kN - 56.72 kN = 89.38 kN

89.38 kN - 135.51 kN = -46.13 kN -ve

138.87 kN

Bending Moment Diagram Positive Area: (146.1 kN + 89.38 kN) x 2.2 x ½ = 259.0 kN/m Negative Area: (45.61 kN + 138.87) x 2.8 x ½ = 259.0 kN/m

259.0 kN

D2 COLUMN

Tributary area method load analysis on Column D2

Dead load acting on column D2 Roof Roof beams for column D2 = (3.6m + 2.15m) x 1.44 kN/m2 = 8.28 kN

First Floor Concrete slab = (4.65 x 2.25) + (1.35 x 2.5) x 2.88 kN/m2 = 20.18 kN Beam self weight = (3.6m + 2.15m) x 1.44 kN/m2 = 8.28 kN Column self weight = 0.3m x 0.3m x 3m x 24 kN/m3 = 6.48 kN Brick wall weight = (4.65 m + 2.15 m) x 8.55 kN/m3 = 58.14 kN

Ground Floor Concrete slab = 2.6m x 3.6m x 2.88 kN/m2 = 26.96 kN Beam self weight = (2.6m + 3.6m) x 1.44 kN/m = 8.93 kN Column self weight = 0.3m x 0.3m x 3m x 24 kN/m3 = 6.48 kN Brick wall weight = ( 2.6m + 3.6m ) x 8.55kN/m = 53.01 kN

Total dead load = 196.74 kN Apply 1.4 dead load factor = 275.44 kN

Tributary area method load analysis on Column D2 Live load acting on column D2

First Floor Concrete slab = (4.65 x 2.25) + (1.35 x 2.5) x 1.50 kN/m2 = 15.53 kN Ground Floor (Bedroom) Concrete slab = 1.35m x 2.5m x 1.5 kN/m2 = 5.06 kN Ground Floor (Bathroom) Concrete slab = 2.25 m x 2.5 m x 4 kN/m2 = 22.5 kN Total live load = 42.86 kN Apply 1.6 live load factor = 68.58 kN

Total Ultimate Load = 275.44 kN + 68.58 kN = 344.02 kN

D3 COLUMN

Tributary area method load analysis on Column D3

Dead load acting on column D3 Roof Roof beams for column D3 = (3.4 m + 2.15 m + 2.25 m) x 1.44 kN/m2 = 11.23 kN

First Floor Concrete slab = (5.65 m x 4.65 m) x 2.88 kN/m2 = 75.66 kN Beam self weight =(2.25 m + 3.4 m + 2.15 m + 2.25 m) x 1.44 kN/m2 = 14.47 kN Column self weight = 0.3 m x 0.3 m x 3 m x 24 kN/m3 = 6.48 kN Brick wall weight = (4.625 m + 4.625 m) x 8.55 kN/m3 = 79.09 kN

Ground Floor Concrete slab = 2.5 m x 5.65 m x 2.88 kN/m2 = 40.68 kN Beam self weight = (2.5 m + 2.5 m + 2.5 m + 5.65 m) x 1.44 kN/m = 18.94 kN Column self weight = 0.3 m x 0.3 m x 3 m x 24 kN/m3 = 6.48 kN Brick wall weight = ( 2.5 m + 2.5 m + 2.5 m + 5.3 m) x 8.55 kN/m = 109.44 kN

Total dead load = 362.47 kN Apply 1.4 dead load factor = 507.46 kN

Tributary area method load analysis on Column D3 Live load acting on column D3

First Floor Concrete slab = 5.65 m x 4.65 m x 1.50 kN/m2 = 38.78 kN Ground Floor (Bedroom) Concrete slab = 2.5 m x 3.4 m x 1.5 kN/m2 = 12.75 kN Ground Floor (Bathroom) Concrete slab = 2.25 m x 2.5 m x 4 kN/m2 = 22.5 kN Total live load = 74.03 kN Apply 1.6 live load factor = 118.43 kN

Total ultimate load = 507.46 kN + 118.43 kN = 625.90 kN

KHOO YUNG KEAT 0324688 GROUND FLOOR

Beams 1-2 / D 2’ / C-C’ 2-3 / C 2-3 / C

Columns A4 B4

1-2 / D BEAM

Beam Calculation for 1-2 / D Dead Load

1

2 5000 mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) 1.44 kN/m

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

Beam Self Weight

Dead load on slab 1-2 / D = 2.88 kN/m2 x (2.7 m / 2) x 2 / 3 = 2.592 kN/m

8.55 kN/m Brick Wall Weight

Total dead load on beam 1 / C-D = 1.44 kN/m + 8.55 kN/m + 2.592 kN/m = 12.582 kN/m

2.592 kN/m Slab 1-2 / D

12.582 kN/m Total Dead Load

Live Load

1

2 5000 mm

Live load on slab 1-2 / D = 1.5 kN/m2 x (2.7 m / 2) x 2 / 3 = 1.35 kN/m

1.35 kN/m

Total live load on beam 1-2 / D = 1.35 kN/m

Slab 1-2 / D

1.35 kN/m Total Live Load

Ultimate Load

1

2 5000 mm

Total Dead Load = 12.582 kN/m2 x 1.4 = 17.61 kN/m

19.77 kN/m

Total Live Load = 1.35 kN/m2 x 1.6 =2.16 kN/m Total Ultimate Load = 17.61 kN/m + 2.16 kN/m = 19.77 kN/m

Total Ultimate Load

RA

RB

Reaction Force Load Diagram

1

2 2700 mm

∑MA = 0 ∑MA = 2.7 RA - (53.38 x 1.35) ∑ 0 = 2.7 RA - 72.06 RA = 72.06 / 5 RA = 26.69 kN

∑Fy = 0 ∑MA = 26.69 - 53.38 + RB ∑ RB = 26.69

Shear Force

53.38 kN/m

12.513 kN

12.513 kN

1

2 2700 mm

26.69 kN - (19.77 x 2.7) = -26.69 kN 26.69 kN - 53.38 kN) = 0 kN

26.69 kN + 26.69kN

Bending Moment Diagram Positive Area: 26.69 x 1.35 x ½ = 18.02 kN/m Negative Area: 26.69 x 1.35 x ½ = 18.02 kN/m

18.02 kN

2 / C-C’ BEAM

Beam Calculation for 2’ / C-C’ Dead Load

C

C’ 5000 mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) 1.44 kN/m

Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

Beam Self Weight

Dead load on slab 2-2’ / C-C’ = 2.88 kN/m x (2.5 / 2) x 2/3 = 2.4 kN/m

8.55 kN/m Brick Wall Weight

Dead load on slab 2’-3 / C-C’ = 2.88 kN/m x (2.5 / 2) x 2/3 = 2.4 kN/m

12.39 kN/m Slab 2’-3 / C-C’

Total dead load on slab For 2-2’ / C-C’ = 1.44kN/m + 8.55 kN/m + 2.4kN/m = 12.39 kN/m

1

12.39 kN/m

2 Slab 2’-3 / C-C’

34.77 kN/m For 2’-3 / C-C’ = 1.44kN/m + 8.55 kN/m + 2.4kN/m = 12.39 kN/m

Total dead load

Total dead load on beam 2’ / C-C’ = 1.44 kN/m + 8.55 kN/m + 12.39kN/m + 12.39kN/m =34.77 kN/m 5000 mm

Live Load Live load on slab For 2-2’ / C-C’ = 1.5 kN/m2 x (2.5 m / 2) x 2 / 3 = 1.245 kN/m

1.35 kN/m Slab 2-2’ / C-C’

1.35 kN/m

For 2’-3 / C-C’ = 1.5 kN/m2 x (2.5 m / 2) x 2 / 3 = 1.245 kN/m Total live load on beam 2’ / C-C’ = 2.49 kN/m

Slab 2’-3 / C-C’

1

1.35 kN/m

2 Total live load

Beam Calculation for 2’ / C-C’ Ultimate Load

C

C’ 2500 mm

Total Dead Load = 34.77 kN/m x 1.4 = 48.678 kN/m

48.678 kN/m

Total Live Load = 2.49 kN/m x 1.6 = 3.984 kN/m

Total Dead Load

3.984 kN/m Total Ultimate Load = 48.678 kN/m + 3.984kN/m = 52.662 kN/m

Total Live Load

52.662 kN/m Total Ultimate Load

Reaction Force Load Diagram

C

C’ 2500 mm

∑MA = 0 ∑MA = 2.5 RA - (131.655 x 1.25) ∑ 0 = 2.5 RA - 164.57 RA = 164.57 / 2.5 RA = 65.83 kN

∑Fy = 0 ∑MA= 65.83 - 131.655 + RB RB = 65.83

131.655 kN/m

65.83 kN

65.83 kN

Shear Force

C

C’ 2700 mm

65.83 kN - (52.662 x 2.5) = -65.83 kN 65.83 kN + (-65.83 kN) = 0 kN

65.83 kN + 65.83 kN

Bending Moment Diagram Positive Area: 65.83 x 1.25 x ½ = 41.14 kN/m Negative Area: 65.83 x 1.25 x ½ = 41.14 kN/m

41.14 kN

2-3 / C BEAM

Beam Calculation for 2-3 / C Dead Load

2’

2

3

2250 mm

2250 mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

1.44 kN/m Beam Self Weight

Dead Load on slab 2-2’ / B-C = 2.88 kN/m2 x (2.25 /2) = 3.24 kN/m

8.55 kN/m Brick Wall Weight

Dead Load on slab 2’-3 / B-C = 2.88 kN/m2 x (2.25 /2) = 3.24 kN/m Dead Load on slab 2-2’ / C-C’ = 2.88 kN/m2 x (2.25 /2) = 3.24 kN/m Dead Load on slab 2’-3 / C-C' = 2.88 kN/m2 x (2.25 /2) = 3.24 kN/m Total Dead Load on beam For 2-2’ = 1.44 kN/m + 8.55 kN/m + 3.24 kN/m + 3.24kN/m = 16.47 kN/m

3.24 kN/m Slab 2-2’ / B-C

3.24 kN/m Slab 2’-3 / B-C

3.24 kN/m Slab 2-2’ / C-C’

3.24 kN/m Slab 2’-3 / C-C’

For 2’-3 = 1.44 kN/m + 8.55 kN/m + 3.24 kN/m + 3.24 kN/m = 16.47 kN/m

16.47 kN/m

16.47 kN/m Total Dead Load

Live Load

2’

2 2250 mm

Live Load on slab 2-2’ / B-C =1.5 kN/m2 x (2.25 /2) = 1.688 kN/m

3 2250 mm

1.688 kN/m

Live Load on slab 2’-3 / B-C = 1.5 kN/m2 x (2.25 /2) = 1.688 kN/m

Slab 2-2’ / B-C

1.688 kN/m Live Load on slab 2-2’ / C-C’ = 1.5 kN/m2 x (2.25 /2) = 1.688 kN/m

Slab 2’-3 / B-C

1.688 kN/m

Live Load on slab 2’-3 / C-C’ = 1.5 kN/m2 x (2.25 /2) = 1.688 kN/m

Slab 2-2’ / C-C’

1.688 kN/m Total Live Load For 2-2’ = 1.688 kN/m + 1.688 kN/m = 3.376 kN/m

Slab 2’-3 / C-C’

3.376 kN/m

3.376 kN/m Total Live Load

For 2’-3 = 1.688 kN/m + 1.688 kN/m = 3.376 kN/m Ultimate Load Total Dead Load For 2-2’ = 1.4 x 16.47 kN/m = 23.058 kN/m For 2’-3 = 1.4 x 16.47 kN/m = 23.058 kN/m Total Live Load For 2-2’ = 1.6 x 3.376 kN/m = 5.4 kN/m For 2’-3 / C’-D = 1.6 x 3.376 kN/m = 5.4 kN/m Total Ultimate Load For 2-2’ = 23.058 kN/m + 5.4 kN/m = 28.46 kN/m For 2’-3 = 23.058 kN/m + 5.4 kN/m = 28.46 kN/m Point Load from beam 2’ / C-C’ = 65.83 kN/m

2

2250 mm

2’

2250 mm

3

87.65 kN/m 28.46 kN/m

28.46 kN/m Total Ultimate Load

Reaction Force

2’

2 2250 mm

2250 mm

65.83 kN/m

Load Diagram ∑MA = 0 ∑MA = 4.5 RA - (64.04 x 3.375) (64.04 x 1.125) ∑MA - (65.83 x 2.25) ∑ 0 = 4.5 RA - 216.14 - 72.05 - 148.12 RA = 436.31 / 4.5 RA = 97 kN

3

64.04 kN/m

1125 mm

1125 mm

64.04 kN/m

1125 mm

1125 mm

65.83 kN/m 64.04 kN/m

64.04 kN/m

∑Fy = 0 ∑MA = 97 - 64.04 - 64.04 - 65.83 + RB RB = 97 kN 97 kN/m

97 kN/m

Shear Force 4500 mm

97 kN - 64.04 kN = 33 kN 32.96 kN - 65.83 kN = -33 kN

97 kN 97 kN - 64.04 kN =33 kN

32.96 kN - 65.83 kN = -33 kN 97 kN

Bending Moment Diagram Positive Area: (97 + 33) x 2.25 x ½ = 146.25 kN/m Negative Area: (97 + 33) x 2.25 x ½ = 146.25 kN/m

146.25 kN

2-3 / C’ BEAM

Beam Calculation for 2-3 / C’ Dead Load

2’

2

3

2250 mm

2250 mm

Beam Self Weight = 1.44 kN/m (beam size is 200 mm x 300 mm) Brick Wall Weight = 8.55 kN/m (wall height 3000 mm)

1.44 kN/m Beam Self Weight

Dead Load on slab 2-2’ / C-C’ = 2.88 kN/m2 x (2.2 /2) = 3.168 kN/m

8.55 kN/m Brick Wall Weight

Dead Load on slab 2’-3 / C-C’ = 2.88 kN/m2 x (2.2 /2) = 3.168 kN/m Dead Load on slab 2-2’ / C’-D = 2.88 kN/m2 x (2.8 /2) x ⅔ = 2.69 kN/m Dead Load on slab 2’-3 / C’-D = 2.88 kN/m2 x (2.8 /2) x ⅔ = 2.69 kN/m Total Dead Load on beam For 2-2’ = 1.44 kN/m + 8.55 kN/m + 3.168 kN/m + 2.69 kN/m = 15.85 kN/m For 2’-3 = 1.44 kN/m + 8.55 kN/m + 3.168 kN/m + 2.69 kN/m = 15.85 kN/m

3.168 kN/m Slab 2-2’ / C-C’

3.168 kN/m Slab 2’-3 / C-D

2.69 kN/m Slab 2-2’ / C’-D

2.69 kN/m Slab 2’-3 / C’-D

15.85 kN/m

15.85 kN/m Total Dead Load

Live Load

2’

2

3

2250 mm

Live Load on slab 2-2’ / C-C’ =1.5 x (2.2 /2)kN/m2 = 1.65 kN/m

2250 mm

1.65 kN/m

Live Load on slab 2’-3 / C-C’ = 1.5 x (2.2 /2)kN/m2 = 1.65 kN/m

Slab 2-2’ / C-C’

1.65 kN/m Live Load on slab 2-2’ / C’- D = 2 x (2.8 /2) x ⅔ = 1.87 kN/m Live Load on slab 2’-3 / C’-D = 2 x (2.8 /2)kN/m2 x ⅔ = 1.87 kN/m

Slab 2’-3 / C-C’

1.87 kN/m Slab 2-2’ / C’-D

1.87 kN/m Total Live Load For 2-2’ = 1.65 kN/m + 1.87 kN/m = 3.52 kN/m For 2’-3 = 1.65 kN/m + 1.87 kN/m = 3.52 kN/m

Slab 2’-3 / C’-D

3.52 kN/m

3.52 kN/m Total Live Load

Ultimate Load

2

Total Dead Load For 2-2’ = 1.4 x 15.85 kN/m = 22.19 kN/m For 2’-3 = 1.4 x 15.85 kN/m = 22.19 kN/m Total Live Load For 2-2’ = 1.6 x 3.52 kN/m = 5.632 kN/m For 2’-3 / C’-D = 1.6 x 3.52 kN/m = 5.632 kN/m Total Ultimate Load For 2-2’ = 22.19 kN/m + 5.632 kN/m = 27.82 kN/m For 2’-3 = 22.19 kN/m + 5.632 kN/m = 27.82 kN/m Point Load from beam 2’ / C-C’ and 2’ / C-C’ = 87.65 kN/m +65.83 kN/m = 153.48

2250 mm

2’

2250 mm

3

153.48 kN/m 27.82 kN/m

27.82 kN/m Total Ultimate Load

RA

RB

Reaction Force

2’

2 2250 mm

2250 mm

153.48 kN/m

Load Diagram ∑MA = 0 ∑MA = 4.5 RA - (62.6 x 3.375) x (62.6 x 1.125) - (153.48 x 2.25) ∑ 0 = 4.5 RA - 211.28 - 70.43 - 345.33 RA = 627.04 / 4.5 RA = 139.34 kN

3

62.6 kN/m

1125 mm

62.6 kN/m

1125 mm

1125 mm

1125 mm

153.48 kN/m 62.6 kN/m

62.6 kN/m

∑Fy = 0 ∑MA = 139.34 - 62.6 - 62.6 - 153.48 + RB RB = 139.34kN 139.34 kN/m

139.34 kN/m

Shear Force 4500 mm

139.34 kN - 62.6 kN = 76.74kN 76.74 kN - 153.48 kN = -76.74 kN

139.34 kN 139.34 kN - 62.6 kN =76.74 kN

76.74 kN - 153.48 kN = -76.74 kN 139.34 kN

Bending Moment Diagram Positive Area: (139.34 + 76.74) x 2.25 x ½ = 243.09 kN/m Negative Area: (139.34 + 76.74) x 2.25 x ½ = 243.09 kN/m

243.09 kN

A4 COLUMN

Tributary area method load analysis on Column A4

Dead load acting on column A4 Roof Roof beams for column 4B = (2.125m + 2.8m + 2.6m) x 1.44kN/m = 10.84 kN

First Floor Concrete slab = 2.125 x 5.4 x 2.88kN/m2 = 33.05 kN Beam self weight = (2.125m + 2.8m + 2.6m ) x 1.44 kN/m = 10.84 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (2.8m + 2.6m) x 8.55kN/m3 = 46.17 kN

Ground Floor Concrete slab = 2.125 x 5.4 x 2.88kN/m2 = 33.05 kN Beam self weight = (2.125m + 2.8m + 2.6m ) x 1.44 kN/m = 10.84 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (2.8m + 2.6m) x 8.55kN/m3 = 46.17 kN

Total dead load = 203.92 kN Apply 1.4 dead load factor = 285.49 kN

Tributary area method load analysis on Column A4

Live load acting on column A4

First Floor (Corridor) Concrete slab = 2.125m x 2.8 x 4kN/m2 = 23.8 kN First Floor (Bedroom) Concrete slab = 2.125m x 2.6 x 1.5kN/m2 = 8.29 kN Ground Floor (Living room) Concrete slab = 2.125m x 2.8m x 4kN/m2 = 23.8 kN Ground Floor (Bedroom) Concrete slab = 2.125m x 2.6m x 1.5kN/m2 = 8.29 kN

Total live load = 64.18 kN Apply 1.6 live load factor = 102.69 kN

Total ultimate load = 285.49 kN + 102.69 kN = 338.18 kN

B4 COLUMN

Tributary area method load analysis on Column 4B

Dead load acting on column 4B Roof Roof beams for column 4B = (2.8m + 3.1m + 1.2m + 1.4m + 1.4m +1.4m) x 1.44kN/m = 16.27 kN

First Floor Concrete slab = 4.5 x 5.4 x 2.88kN/m2 = 69.98 kN Beam self weight = (2.8m + 3.1m + 1.2m + 1.4m + 1.4m +1.4m ) x 1.44 kN/m = 16.27 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (2.8m + 1m + 2.6m) x 8.55kN/m3 = 54.72 kN

Ground Floor Concrete slab = 2.325m x 5.4m x 2.88kN/m2 = 36.16 kN Beam self weight = (2.8m + 1.2m + 1.4m + 1.35m + 1.35m + 1.4m) x 1.44 kN/m = 13.68 kN Column self weight = 0.3m x 0.3m x 3m x 24kN/m3 = 6.48kN Brick wall weight = (1.2m + 1.4m + 1.4m + 1.35m) x 8.55kN/m = 45.74 kN

Total dead load = 265.78 kN Apply 1.4 dead load factor = 372.09 kN

Tributary area method load analysis on Column B4

Live load acting on column B4

First Floor Concrete slab = 4.5m x 5.4m x 1.50kN/m2 = 36.45 kN Ground Floor Concrete slab = 2.325m x 5.4m x 1.50kN/m2 = 18.83 kN

Total live load = 55.28 kN Apply 1.6 live load factor = 88.45 kN

Total Ultimate Load = 372.09 kN + 88.45 kN = 460.54 kN

CHEW RUI BO 0322334 FIRST FLOOR

Beams 2’ / A-B A’ / 2-3 2 / A-B A’ / 3-4

Columns B2 B3

2’ / A’-B BEAM

Calculation for beam 2’, A’-B Dead Load B

A’ Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm)

1800mm

Brick Wall Weight = 8.55kN/m (wall height is 3000mm)

1.44 kN/m Beam Self Weight

Dead load on slab A’-B / 2-2’ = 2.88 kN/m2 x (1.8m / 2 ) x 2/3 = 1.73 kN/m

8.55 kN/m Brick Wall Weight

Dead load on slab A’-B / 2’-3 = 2.88 kN/m2 x (1.8m / 2 ) x 2/3 = 1.73 kN/m

1.73 kN/m Slab A’-B / 2-2’

Total dead load on slab A’-B = 1.44 kN/m + 8.55 kN/m + 1.73 kN/m + 1.73 kN/m = 13.45 kN/m

1.73 kN/m Slab A’-B / 2’-3

13.45 kN/m Total Dead Load

Live Load Live load on slab A’-B / 2-2’ = 1.50 kN/m2 x (1.8m / 2 ) x 2/3 = 0.9 kN/m

B

A’ 1800mm

0.9 kN/m Live load on slab A’-B / 2’-3 = 1.50 kN/m2 x (1.8m / 2 ) x 2/3 = 0.9 kN/m

Slab A’-B / 2-2’

0.9 kN/m Total live load on slab A’-B = 0.9 kN/m + 0.9 kN/m = 1.8 kN/m

Slab A’-B / 2’-3

1.80 kN/m Total Live Load

Ultimate Load Ultimate dead load on slab A’-B = 13.45 kN/m x 1.4 = 18.83 kN/m Ultimate live load on slab A’-B = 1.80 kN/m x 1.6 = 2.88 kN/m Total ultimate load on slab A’-B = 18.83 kN/m + 2.88 kN/m = 21.71 kN/m

A’

B 1800mm

21.71 kN/m Total Dead Load

LOAD DIAGRAM 1800mm

∑MA

=0 = 1.8RA – 39.078(0.9) 1.8RA = - 35.1702 RA = 19.54kN

900mm

900mm

21.71 kN/m ∑Fy

=0 = RB + 19.539 -39.078 = RB – 19.539 - RB = - 19.539 RB = 19.54kN

19.54 kN

19.54 kN

SHEAR FORCE DIAGRAM

19.54 kN

+ve

0 -ve

-19.541kN BENDING MOMENT DIAGRAM 8.793 kNm2 Area = 19.54 x 0.9 x 1/2 = 8.793 kNm2 0

A’ / 2-3 BEAM

Calculation for beam A’ / 2-3 Dead Load

2’

2

3 2250mm

2250mm

Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm)

1.44 kN/m

Brick Wall Weight = 8.55kN/m (wall height is 3000mm)

Beam Self Weight

8.55 kN/m Dead load on slab 2-3 / A-A’ = 2.88 kN/m2 x (4.4m / 2) = 6.34 kN/m

Brick Wall Weight

6.34 kN/m Dead load on slab 2-2’ / A’-B = 2.88 kN/m2 x (1.8m / 2) = 2.59 kN/m

Slab 2-3 / A-A’

2.59 kN/m Dead load on slab 2’-3 / A’-B = 2.88 kN/m2 x (1.8m / 2) = 2.59 kN/m

Slab 2-2’ / A’-B

2.59 kN/m

Total dead load for 2-2’ = 1.44 kN/m + 8.55 kN/m + 6.34 kN/m + 2.59 kN/m = 18.92 kN/m

Slab 2’-3 / A’-B

18.92 kN/m

10.37 kN/m Total Dead Load

Total dead load for 2’-3 = 1.44 kN/m + 6.44 kN/m + 2.59 kN/m = 10.37 kN/m

2 Live Load Live load on slab 2-3 / A-A’ = 1.50 kN/m2 x (4.4m / 2) = 3.3 kN/m Live load on slab 2-2’ / A’-B = 1.50 kN/m2 x (1.8m / 2) = 1.35 kN/m

2’ 2250mm

2250mm

3.30 kN/m Slab 2-3 / A-A’

1.35 kN/m

Live load on slab 2’-3 / A’-B = 1.50 kN/m2 x (1.8m / 2) = 1.35 kN/m Total live load for 2-2’ = 3.3 kN/m + 1.35 kN/m = 4.65 kN/m

3

Slab 2-2’ / A’-B

1.35 kN/m Slab 2’-3 / A’-B

4.65 kN/m

4.65 kN/m Total Live Load

Total live load for 2’-3 = 3.3 kN/m + 1.35 kN/m = 4.65 kN/m

Ultimate Load

2’

2 2250mm

Ultimate dead load at 2-2’ = 18.92 kN/m x 1.4 = 26.49 kN/m Ultimate dead load at 2’-3 = 10.37 kN/m x 1.4 = 14.52 kN/m Ultimate live load at 2-2’ = 4.65 kN/m x 1.6 = 7.44 kN/m Ultimate live load at 2’-3 = 4.65 kN/m x 1.6 = 7.44 kN/m Total ultimate load at 2-2’ = 26.49 kN/m + 7.44 kN/m = 33.93 kN/m Total ultimate load at 2’-3 = 14.52 kN/m + 7.44 kN/m = 21.96 kN/m

33.93 kN/m

3 2250mm

21.96 kN/m Total Dead Load

Reaction Force 4500mm

Load Diagram ∑MA

- 4.5R2 R2

2250mm

=0 = 4.5R2+ (-76.343x3.375) + (-19.54 x 2.25) + (-49.41 x 1.125) = 4.5R2 - 257.656 - 43.965 – 55.586 = 4.5R2 - 357.207 = - 357.207 = 79.379kN

2250mm

19.54 kN/m 33.93 kN/m

21.96 kN/m

79.379 kN

65.914 kN

∑Fy

=0 = R3+ 79.379 – 76.346 - 19.54 – 49.41 = R3 – 65.914 - R3 = - 65.914 R3 = 65.914kN

Shear Force Diagram

79.379 kN 3.036 kN( 79.379 – 76.343 ) +ve

79.379 kN – 76.343 kN = 3.036 kN

0 ( 3.036-19.54 )

3.036 kN - 19.54 kN = -16.504 kN

-16.504 kN

-ve

-65.914 kN

Bending Moment Diagram

92.72 kNm2

Area =76.343 x 2.25 x 1/2 = 85.886 kNm2 Area =3.036 x 2.25 = 6.831 kNm2 Total Area = 85.886 kN + 6.831 kN = 92.72 kNm2

0

2 / A-B BEAM

Calculation for beam 2 / A-B Dead Load Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm)

A’ 1800mm

4400mm

1.44 kN/m

Brick Wall Weight = 8.55kN/m (wall height is 3000mm)

Beam Self Weight

8.55 kN/m Dead load on slab A-A’ / 2-3 = 2.88 kN/m2 x (4.4m / 2) x 2/3 =4.22 kN/m

Brick Wall Weight

4.22 kN/m Dead load on slab A’-B / 2-2’ = 2.88 kN/m2 x (1.8m / 2) x 2/3 = 1.73 kN/m

Slab A-A’ / 2-3

1.73 kN/m Total dead load for A-A’ = 1.44 kN/m + 8.55 kN/m + 4.22 kN/m + = 14.214 kN/m

Slab A’-B / 2’-2’

14.214 kN/m

11.718 kN/m Total Dead Load

Total dead load for A’-B = 1.44 kN/m + 8.55 kN/m + 1.73 kN/m = 11.718 kN/m

A’ Live Load Live load on slab A-A’ / 2-3 = 1.50 kN/m2 x (4.4m / 2) x 2/3 = 2.20 kN/m

4400mm

2.20 kN/m

Live load on slab A’-B / 2-2’ = 1.50 kN/m2 x (1.8m / 2) x 2/3 = 0.90 kN/m Total live load for A-A’ = 2.20 kN/m Total live load for A’-B = 0.90 kN/m

1800mm

Slab A-A’ / 2-3

0.90 kN/m Slab A’-B / 2-2’

2.20 kN/m

0.90 kN/m Total Live Load

A’

Ultimate Load Ultimate dead load at A-A’ = 14.214 kN/m x 1.4 = 19.90 kN/m Ultimate dead load at A’-B = 11.718 kN/m x 1.4 = 16.405 kN/m Ultimate live load at A-A’ = 2.20 kN/m x 1.6 = 3.52 kN/m Ultimate live load at A’-B = 0.90 kN/m x 1.6 = 1.44 kN/m Total ultimate load at A-A’ = 19.90 kN/m + 3.52 kN/m = 23.42 kN/m Total ultimate load at A’-B = 16.405 kN/m + 1.44 kN/m = 17.85 kN/m

4400mm

1800mm

23.42 kN/m

17.85 kN/m Total Dead Load

A’

A

B

LOAD DIAGRAM 6200mm

∑MA

=0 = 6.2RA+ (-103.048 x 4) + (-79.379 x 1.8) + (-32.121 x 0.9) = 6.2RA - 412.192 – 142.882 – 28.909 = 6.2RA - 583.983 - 6.2RA = - 583.983 RA = 94.191 kN

=0 = RB + 94.191 – 103.048 – 32.121 = RB – 40.978 - RB = - 40.978 RB = 40.978 kN

4400mm

1800mm

79.379 kN/m 23.42 kN/m

17.85 kN/m

∑Fy

94.191 kN

40.978 kN

SHEAR FORCE DIAGRAM

94.191 kN 94.191 kN – 85.334 kN = 8.86 kN

8.857

( 94.191-85.334)

+ve

8.857kN – 79.379 kN = -70.522 kN

0 ( 8.857-79.379)

-70.522

-ve

-40.978kN BENDING MOMENT DIAGRAM 226.706 kNm2 Area =(94.191-8.857) x 4.40 x 1/2 = 187.735 kNm2

Area = 8.857 x 4.40 = 38.971 kNm2 Total Area = 187.735 kN + 38.971 kN = 226.706 kNm2

0

A’ / 3-4 BEAM

Calculation for beam A’ / 3-4 Dead Load 5600mm

Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm) 1.44 kN/m Brick Wall Weight = 8.55kN/m (wall height is 3000mm)

Beam Self Weight

Dead load on slab 3-4 / A-A’ = 2.88 kN/m2 x (4.4m / 2) = 6.33 kN/m

8.55 kN/m

Dead load on slab 3-4 / A’-B = 2.88 kN/m2 x (4.6m / 2 ) = 6.62 kN/m

6.33 kN/m

Total dead load for 3-4 = 5.66 kN/m + 1.40 kN/m + 8.55 kN/m + 6.33 kN/m + 6.62 kN/m = 28.54 kN/m

6.62 kN/m

Brick Wall Weight

Slab 3-4 / A-A’’

Slab 3-4 / A’-B

28.54 kN/m Total Dead Load

Live Load Live load on slab 3-4 / A-A’ = 1.50 kN/m2 x (4.4m / 2) = 3.30 kN/m Live load on slab 3-4 / A’-B = 1.50 kN/m2 x (4.6m / 2) = 3.45 kN/m Total live load on slab for 3-4 = 3.30 kN/m + 3.45 kN/m = 6.75 kN/m

5600mm

3.30 kN/m Slab 3-4 / A-A’

3.45 kN/m Slab 3-4 / A’-B

6.75 kN/m Total Live Load

Ultimate Load 5600mm

Ultimate dead load at 3-4 = 28.54 kN/m x 1.4 = 39.96 kN/m Ultimate live load at 3-4 = 6.75 kN/m x 1.6 = 10.80 kN/m Total ultimate load at 3-4 = 39.96 kN/m + 10.80 kN/m = 50.76 kN/m

50.76 kN/m Total Dead Load

LOAD DIAGRAM 5600mm

∑MA -5.6R3 R3

=0 = 5.6RA - 284.256 (2.8) = - 795.917 = 142.128kN

2800mm

2800mm

284.256 kN/m ∑Fy

=0 = R4 + 142.128 -284.256 = R4 – 19.539 - R4 = - 142.128 R4 = 142.128kN

142.128 kN

142.128 kN

SHEAR FORCE DIAGRAM

142.128 kN

+ve

0 -ve

-142.1281kN

BENDING MOMENT DIAGRAM 198.979 kNm2 Area = 142.128 x 2.8 x 1/2 = 198.979 kNm2 0

B2 COLUMN

Tributary area method load analysis on Column B2

Dead load acting on column B2 Roof Roof beams for column B2 = (1.40m + 3.10m +2.25m) x 1.44kN/m = 9.72 kN

First Floor Concrete slab = 2.25m x 4.50m x 2.88kN/m2 = 29.16 kN Beam self weight = (3.10m + 1.40m +2.25m +1.35m ) x 1.44 kN/m =11.664 kN Column self weight = 6.48kN Brick wall weight = 8.1m x 8.55kN/m = 57.713 kN

Ground Floor Concrete slab = 3.60m x 4.50m x 2.88kN/m2 = 46.656 kN Beam self weight = (4.50m + 3.60m ) x 1.44 kN/m = 11.664 kN Column self weight = 6.48kN Brick wall weight = ( 1.35m + 2.25m + 3.10m ) x 8.55kN/m = 57.285 kN

Total dead load = 236.822 kN Apply 1.4 dead load factor = 331.551 kN

Tributary area method load analysis on Column B2

Live load acting on column B2

First Floor Concrete slab = 2.25m x 4.50m x 1.50kN/m2 = 15.188 kN Ground Floor Concrete slab = 3.60m x 4.50m x 1.50kN/m2 = 24.30 kN

Total live load = 39.488 kN Apply 1.6 live load factor = 63.181 kN

Total ultimate load = 331.551 kN + 63.181 kN = 394.73 kN

B3 COLUMN

Tributary area method load analysis on Column B3

Dead load acting on column B3 Roof Roof beams for column B2 = (1.40m + 3.10m +2.25) x 1.44kN/m = 9.72 kN

First Floor Concrete slab = 5.05m x 4.50m x 2.88kN/m2 = 65.448 kN Beam self weight = (3.10m + 1.40m +2.25m) x 1.44 kN/m =9.72 kN Column self weight = 6.48kN Brick wall weight = 6.75m x 8.55kN/m = 57.713 kN

Ground Floor Concrete slab = 5.05m x 4.5m x 2.88kN/m2 = 65.448 kN Beam self weight = (4.50m + 5.05m ) x 1.44 kN/m = 13.752 kN Column self weight = 6.48kN Brick wall weight = ( 3.10m + 2.25m) x 8.55kN/m = 45.743 kN

Total dead load = 280.504 kN Apply 1.4 dead load factor = 392.706 kN

Tributary area method load analysis on Column B3

Live load acting on column B3

First Floor Concrete slab = 5.05m x 4.50m x 1.50kN/m2 = 34.088 kN Ground Floor Concrete slab = 5.05m x 4.50m x 1.50kN/m2 = 22.725 kN

Total live load = 56.813 kN Apply 1.6 live load factor = 90.901 kN

Total ultimate load = 392.706 kN + 90.901 kN = 483.607 kN

CHEE JIA XIN 0327392 FIRST FLOOR

Beams B / 2-3 3 / B-3 B’ / 2-3 C / 2-3

Columns C2 C3

B / 2-3 BEAM

Beam Calculation for B / 2-3

Dead Load Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm) Brick Wall Weight = 8.55kN/m (wall height is 3000mm) Dead load on slab 2-2’ / A’-B = 2.88 kN/m2 x (1.8m / 2 ) = 2.60 kN/m Dead load on slab 2’-3 / A’-B = 2.88 kN/m2 x (1.8m / 2 ) = 2.60 kN/m

2

2’

1.44 kN/m Beam Self Weight

8.55 kN/m Brick Wall Weight

2.60 kN/m Slab 2-2’ / A’-B

2.60 kN/m Slab 2’-3 / A’-B

2.60 kN/m Slab 2-2’ / B-B’

Total Dead Load for 2-2’ =1.44 kN/m + 8.55 kN/m + 2.60 kN/m + 2.60 kN/m = 15.19k N/m Total Dead Load for 2’-3 =1.44 kN/m + 8.55 kN/m + 2.60 kN/m + 2.60 kN/m = 15.19 kN/m

2250mm

2250mm

Dead load on slab 2-2’ / B-B’ = 2.88 kN/m2 x (1.8m / 2 ) = 2.60 kN/m Dead load on slab 2‘-3 / B-B’ = 2.88 kN/m2 x (1.8m / 2 ) = 2.60 kN/m

3

2.60 kN/m Slab 2’-3 / B-B’

15.19 kN/m

15.19 kN/m Total Dead Load

Live Load Live load on slab 2-2’ / A’-B = 1.50 kN/m2 x (1.8m / 2 ) = 1.35 kN/m Live load on slab 2’-3 / A’-B = 1.50 kN/m2 x (1.8m / 2 ) = 1.35 kN/m

2

2’ 2250mm

3 2250mm

1.35 kN/m Slab 2-2’ / A’-B

Live load on slab 2-2’ / B-B’ = 1.50 kN/m2 x (1.8m / 2 ) = 1.35 kN/m

1.35 kN/m Slab 2’-3 / A’-B

Live load on slab 2‘-3 / B-B’ = 1.50 kN/m2 x (1.8m / 2 ) = 1.35 kN/m

1.35 kN/m Slab 2-2’ / B-B’

Total Live Load on for 2-2’ =1.35 kN/m + 1.35 kN/m = 2.70 kN/m Total Live Load on for 2’-3 =1.35 kN/m + 1.35 kN/m = 2.70 kN/m

1.35 kN/m Slab 2’-3 / B-B’

2.70 kN/m

2.70 kN/m Total Live Load

Ultimate Load Ultimate dead load at 2-2’ = 15.90kN/m x 1.4 = 21.27kN/m Ultimate dead load at 2’-3 = 15.90 kN/m x 1.4 = 21.27kN/m Ultimate live load at 2-2’ = 2.70 kN/m x 1.6 = 4.32kN/m

2

2’ 4500mm

Ultimate live load at 2’-3 = 2.70 kN/m x 1.6 = 4.32kN/m

19.54 kN/m

Total Ultimate load at 2-2’ = 21.27kN/m + 4.32 kN/m = 25.59kN/m Total Ultimate load at 2’-3 = 21.27kN/m + 4.32 kN/m = 25.59kN/m

3

25.59 kN/m

25.59 kN/m Total Ultimate Load

RA

Include reaction force for beam B/2-3 at point B/2’ in diagram : in this case say 19.54kN

RB

Reaction Force

C

D

Load Diagram

4500mm 2250mm

∑MA

=0 = 4.5RA+ (-57.578 x 3.375) + (-19.54 x 2.25) + (-57.578 x 1.125) = 4.5RA - 194.326 - 43.965 - 64.775 = 4.5RA - 303.066 - 4.5RA = - 67.348 RA = 67.348kN

2250mm

19.54 kN/m 25.59 kN/m

25.59 kN/m

67.35 kN

67.35 kN

∑Fy

=0 = RB+ 67.348 - 57.578 - 19.54 - 57.578 = RB - 67.348 - RB = - 67.348 RB = 67.348kN

Shear Force Diagram 67.35 kN 9.77 kN ( 67.35 – 57.578 ) 67.35 kN - 57.576 kN = 9.77 kN

+ve

0 9.77 kN - 19.54 kN = -9.77 kN

( 9.77 – 19.54 )

-9.77 kN

-ve

-67.35 kN Bending Moment Diagram 86.76 kNm2 Area =(67.35 - 9.77) x 2.25 x 1/2 = 64.78 kNm2 Area =9.77 x 2.25 = 21.98 kNm2 Total Area = 64.78 kN + 21.98 kN = 86.76 kNm2

0

3 / B-C BEAM

Beam Calculation for 3 / B-C DEAD LOAD

B’

B

C 1000mm

1800mm

Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm) 1.44 kN/m Brick Wall Weight = 8.55kN/m (wall height is 3000mm)

Beam Self Weight

8.55 kN/m

Dead load on slab B-B’ / 2’-3 = 2.88 kN/m2 x (1.80m / 2 ) x ( 2/3 ) = 1.73kN/m

Brick Wall Weight

1.73 kN/m

Dead load on slab A’-C / 3 - 4 = 2.88 kN/m2 x (4.60m / 2 ) x ( 2/3 ) = 4.42 kN/m

Slab B-B’ / 2-3

4.42 kN/m

Total Dead Load for B-B’ =1.44 kN/m + 1.73 kN/m + 4.42 kN/m + 8.55 kN/m = 16.14kN/m

Slab A’-C / 3-4

LIVE LOAD Live load on slab B-B’ / 2-3 = 1.50 kN/m2 x (1.80m / 2 ) x ( 2/3 ) = 0.90 kN/m Live load on slab A’-C / 3-4 = 1.50 kN/m2 x (4.60m / 2 ) x ( 2/3 ) = 2.30 kN/m Total Live Load for B-B’ = 0.90 kN/m + 12.30 kN/m = 3.20 kN/m Total Live Load for B’-C = 2.30 kN/m

14.41 kN/m

16.14 kN/m

Total Dead Load for B’-C =1.44 kN/m + 4.42 kN/ + 8.55 kN/m = 14.41 kN/m

Total dead load

B’

B 1800mm

C 1000mm

0.90 kN/m Slab B-B’ / 2-3

2.30 kN/m Slab A’-C / 3-4

3.20 kN/m

2.30 kN/m Total live load

ULTIMATE LOAD

1800mm

Ultimate dead load at B-B’ = 16.14kN/m x 1.4 = 22.596 kN/m

C 1000mm

34.61 kN/m

Ultimate dead load at B’-C = 14.41 kN/m x 1.4 = 20.174 kN/m Ultimate live load at B-B’ = 3.20 kN/m x 1.6 = 5.12 kN/m

B’

B

27.716 kN/m

23.854 kN/m Total Ultimate Load

RA

Ultimate live load at B’-C = 2.30 kN/m2 x 1.6 = 3.68 kN/m Total Ultimate load at B-B’ = 22.596 kN/m + 5.12 kN/m = 27.716 kN/m Total Ultimate load at B’-C = 20.174 kN/m + 3.68 kN/m = 23.854 kN/m

Include reaction force for beam B’/2-3 at point B’/3 in diagram : in this case say 34.61kN

RB

D

LOAD DIAGRAM 2800mm

∑MA

=0 = 2.8RA+ (-49.888 x 1.9) + (-34.61 x 1) + (-23.854 x 0.5) = 2.8RA - 94.787 – 34.610 – 11.927 = 2.8RA - 141.324 - 2.8RA. = - 141.324 RA. = 50.470 kN

=0 = RB+ 50.47 – 49.888 – 34.61 – 23.854 = RB – 57.882 - RB. = - 57.882 RB. = 57.882 kN

1800mm

1000mm

34.61 kN/m 27.716 kN/m

23.854 kN/m

∑Fy

50.470 kN

57.882 kN

SHEAR FORCE DIAGRAM

50.470 kN 50.47 kN – 49.888 kN = 0.581 kN 0.581kN – 34.61 kN = -34.029 kN

0.581 kN( 50.47 – 49.888) +ve

0 ( 0.581 – 34.61 )

-34.029 kN

-ve

-57.882 kN BENDING MOMENT DIAGRAM 45.946 kNm2 Area =(50.47 – 0.581) x 1.80 x 1/2 = 44.900 kNm2

Area = 0.581 x 1.80 = 1.046 kNm2 Total Area = 44.900 kNm2 + 1.046 kNm2 = 45.946kNm2

0

B’ / 2-3 BEAM

Beam Calculation for B’ / 2-3

Dead Load

2

2’

3 2250mm

2250mm

Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm)

1.44 kN/m

Brick Wall Weight = 8.55kN/m (wall height is 3000mm) Dead load on slab 2-2’ / B-B’ = 2.88 kN/m2 x (1.80m / 2 ) = 2.60kN/m

2.60 kN/m Slab 2-2’ / B-B’

Dead load on slab 2’-3 / B-B’ = 2.88 kN/m2 x (1.80m / 2 ) = 2.60kN/m

2.60 kN/m Slab 2’-3 / B-B'

Dead load on slab 2-3 / B’-C = 2.88 kN/m2 x (1.00m / 2 ) = 1.44kN/m

1.44 kN/m Slab 2-3 / B’-C

Total Dead Load for 2-2’ = 1.44 kN/m + 2.60 kN/m + 1.44 kN/m = 5.48kN/m

5.48 kN/m

5.48 kN/m Total Dead Load

Total Dead Load for 2’-3 = 1.44 kN/m + 2.60 kN/m +1.44kN/m = 5.48 kN/m

Live Load

2’

2

3 2250mm

2250mm

Live load on slab 2-2’ / B-B’ = 1.50 kN/m2 x (1.80m / 2 ) = 1.35 kN/m

1.35 kN/m Slab 2-2’ / B-B’

Live load on slab 2’-3 / B-B’ = 1.50 kN/m2 x (1.80m / 2 ) = 1.35 kN/m

1.35kN/m Slab 2’-3 / B-B'

Live load on slab 2-3 / B’-C = 1.50 kN/m2 x (1.00m / 2 ) = 0.75 kN/m

0.75 kN/m Slab 2-3 / B’-C

Total Live Load for 2-2’ = 1.35 kN/m + 0.75 kN/m = 2.10 kN/m Total Live Load for 2’-3 = 1.35 kN/m + 0.75 kN/m = 2.10 kN/m

2.10 kN/m

2.10 kN/m Total Live Load

ULTIMATE LOAD Ultimate dead load at 2-2’ = 5.48 kN/m x 1.4 = 7.68 kN/m 2

2’

Ultimate dead load at 2’-3 = 5.48 kN/m x 1.4 = 7.68 kN/m

3

4500mm

19.54 kN/m

Ultimate live load at 2-2’ = 2.10 kN/m x 1.6 = 3.36kN/m

11.04 kN/m

11.04 kN/m Total Ultimate Load

Ultimate live load at 2’-3 = 2.10 kN/m x 1.6 = 3.36kN/m RA Total Ultimate load at 2-2’ = 7.68 kN/m + 3.36 kN/m = 11.04 kN/m Total Ultimate load at B’-C = 7.68 kN/m + 3.36 kN/m = 11.04 kN/m

Include reaction force for beam B’/2-3 at point B’/2’ in diagram : in this case say 19.54kN

RB

C

LOAD DIAGRAM

D 4500mm

∑MA

=0 = 4.5RA+ (-24.84 x 3.375) + (-19.54 x 2.25) + (-24.84 x 1.125) = 4.5RA - 83.835 - 43.965 – 27.945 = 4.5RA - 155.745 - 4.5RA. = - 34.61 RA. = 34.61 kN

=0 = RB+ 34.61 – 24.84 – 19.54 – 24.84 = RB – 34.61 - RB. = - 34.61 RB. = 34.61 kN

2250mm

2250mm

19.54 kN/m 11.04 kN/m

11.04 kN/m

∑Fy

34.61 kN

34.61 kN

SHEAR FORCE DIAGRAM 34.61 kN 9.77 kN ( 34.61 – 24.84 )

34.61 kN – 24.84 kN = 9.77 kN 9.77kN – 19.54 kN = -9.77 kN

+ve

0 ( 9.77 – 19.54 )

-9.77 kN

-ve

-34.61 kN

BENDING MOMENT DIAGRAM 49.93 kNm2 Area =(34.61 – 9.77) x 2.25 x 1/2 = 27.945 kNm2 Area = 9.77 x 2.250 = 21.983 kNm2 Total Area = 27.945 kN + 21.983 kN = 49.93 kNm2

0

C / 2-3 BEAM

Beam Calculation for C / 2-3

Dead Load

2

3 4500mm

Beam Self Weight = 1.44kN/m (beam size is 200mm x 300mm)

1.44 kN/m

Brick Wall Weight = 8.55kN/m (wall height is 3000mm) 8.55 kN/m

Dead load on slab 2-3 / B’-C = 2.88 kN/m2 x (1.00m / 2 ) = 1.44kN/m

Brick Wall Weight

Dead load on slab 2-3 / C-D = 2.88 kN/m2 x (4.50m / 2 ) x 2/3 = 4.32 kN/m

1.44 kN/m

Total Dead Load for 2-3 = 1.44 kN/m + 8.55 kN/m + 1.44 kN/m + 4.32 kN/m = 15.75kN/m

4.32 kN/m

Slab 2-3 / B’-C

Slab 2-3 / C-D

15.75 kN/m Total Dead Load

Live Load

3

2 4500mm

Live load on slab 2-3 / B’-C = 1.50 kN/m2 x (1.00m / 2 ) = 0.75 kN/m Live load on slab 2-3 / C-D = 1.50 kN/m2 x (4.50m / 2 ) x 2/3 = 2.25 kN/m Total Live Load for 2-3 = 2.25 kN/m + 0.75 kN/m = 3.00 kN/m

0.75 kN/m Slab 2-3 / B’-C

2.25 kN/m Slab 2-3 / C-D

3.00 kN/m Total live load

Ultimate Load

2

Ultimate dead load at 2-3 = 15.75 kN/m x 1.4 = 22.05 kN/m

4500mm

Ultimate live load at 2-3 = 3.00 kN/m x 1.6 = 4.80 kN/m Total Ultimate load at 2-3 = 22.05 kN/m + 4.80 kN/m = 26.85 kN/m

3

26.85 kN/m Total Ultimate Load

RA

RB

2

LOAD DIAGRAM

3 4500mm

∑MA

=0 = 4.5RA – 271.856 - 4.5RA = - 271.856 RA = 60.41 kN

2250mm

2250mm

120.825 kN/m ∑Fy

=0 = RB + 60.412 -120.825 = RB – 60.413 - RB = - 60.413 RB = 60.41kN

60.41 kN

60.41 kN

SHEAR FORCE DIAGRAM

60.41 kN

+ve

0 -ve

-60.41kN

BENDING MOMENT DIAGRAM 135.92 kNm2 Area = 60.41 x 4.5 x 1/2 = 135.92 kNm2 0

C2 COLUMN

Tributary area method load analysis on Column C2

Dead load acting on column C2 Roof Roof beams for column C2 = (2.25m + 3.90m) x 1.44kN/m = 8.856 kN

First Floor Concrete slab = 3.60m x 3.90m x 2.88kN/m2 = 40.435 kN Beam self weight = (3.60m + 3.90m ) x 1.44 kN/m =10.80 kN Column self weight = 6.48kN Brick wall weight = 3,90m x 8.55kN/m = 33.345 kN

Ground Floor Concrete slab = 2.25m x 3.90m x 2.88kN/m2 = 25.272 kN Beam self weight = (2.25m + 3.90m ) x 1.44 kN/m = 8.856 kN Column self weight = 6.48kN Brick wall weight = ( 2.25m + 2.25m ) x 8.55kN/m = 40.613 kN

Total dead load = 181.14 kN Apply 1.4 dead load factor = 253.59 kN

Tributary area method load analysis on Column C2

Live load acting on column C2

First Floor Concrete slab = 3.60m x 3.90m x 1.50kN/m2 = 21.06 kN Ground Floor Concrete slab = 2.25m x 3.90m x 1.50kN/m2 = 13.163 kN

Total live load = 34.22kN Apply 1.6 live load factor = 54.75 kN

Total ultimate load = 253.59 kN + 54.75 kN = 308.34 kN

C3 COLUMN

Tributary area method load analysis on Column C3

Dead load acting on column C3 Roof Roof beams for column C3 = (5.65m + 3.90m) x 1.44kN/m = 13.752 kN

First Floor Concrete slab = 5.65m x 3.90m x 2.88kN/m2 = 63.461 kN Beam self weight = (5.65m + 3.90m ) x 1.44 kN/m =13.752 kN Column self weight = 6.48kN Brick wall weight = (3.40m + 3.90m) x 8.55kN/m = 62.415 kN

Ground Floor Concrete slab = 5.65m x 3.90m x 2.88kN/m2 = 63.461 kN Beam self weight = (5.65m + 3.90m ) x 1.44 kN/m = 13.752 kN Column self weight = 6.48kN Brick wall weight = ( 2.25m + 2.25m + 3.05m ) x 8.55kN/m = 66.69 kN

Total dead load = 310.243 kN Apply 1.4 dead load factor = 434.34 kN

Tributary area method load analysis on Column C3

Live load acting on column C3

First Floor Concrete slab = 5.65m x 3.90m x 1.50kN/m2 = 33.053 kN Ground Floor Concrete slab = 5.65m x 3.90m x 1.50kN/m2 = 33.053 kN

Total live load = 66.106 kN Apply 1.6 live load factor = 105.77 kN

Total ultimate load = 434.34 kN + 105.77 kN = 540.11 kN