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