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• Dead load from beam self weight
• Dead load from wall self weight (D/8-9)
Ground Floor Beam D/8-9
1000
8
Dead load from beam self weight 1.44kN/m
Dead load from wall self weight (D/8-9)
(Density of reinforced concrete) x (Beam size)
= 24kN/m3 x 0.2m x 0.3m
= 1.44kN/m
RYAN KERRY JEE JIN YIING 0318715
8.55kN/m
∴ Total dead load
8-9 : (1.44+8.55)kN/m = 9.99kN/m
= 10kN/m
10kN/m
9
Beam self
weight
Wall self
weight
Total dead
load
∴ Ultimate load
= Total dead load X Dead load factor
= (10kN/m) X 1.4
= 14kN/m
14kN/m
Ultimate
load
Uniform distributed load (UDL)
= Ultimate load X Distance
= 14kN/m X 1m
= 14kN
(Density of brick wall) x (Wall size)
= 19kN/m3 x 0.15m x 3.0m
= 8.55kN/m
∴ Reaction forces (UDL distributes evenly to
both sides)
= 14kN/2
= 7kN
Dead load
14kN/m
Ra Rb
7kN 7kN
Load
diagram
∴ Ra = 7kN
Rb = 7kN
1000Load diagram
RYAN KERRY JEE JIN YIING 0318715
1000
8 9
Shear force diagram
0kN 0kN
7kN
-7kN
Bending moment diagram
Shear force
diagram
Bending
moment
diagram
0kN 0kN
( - )
( + )
1.75kNm
Area of
(Density of reinforced concrete) x (Beam size)
= 24kN/m3 x 0.2m x 0.3m
= 1.44kN/m
• Dead load from beam self weight
• Dead load from wall self weight (E/7-8)
• Dead load from slab: E-F/7-8
• Live load from slab: E-F/7-8
Ground Floor Beam E/7-8
1000
7
Dead load from beam self weight 1.44kN/m
Dead load from wall self weight (E/7-8)
(Density of reinforced concrete) x (Beam size)
= 24kN/m3 x 0.2m x 0.3m
= 1.44kN/m
RYAN KERRY JEE JIN YIING 0318715
8.55kN/m
∴ Total dead load
7-8 : (1.44+8.55+1.2)kN/m = 11.19kN/m
1.2kN/m
8
Beam self
weight
Wall self
weight
Dead load
of slab
E-F/7-8
∴ Ultimate dead load
= Total dead load X Dead load factor
= (11.19kN/m) X 1.4
= 15.67kN/m
Total dead
load
(Density of brick wall) x (Wall size)
= 19kN/m3 x 0.15m x 3.0m
= 8.55kN/m
Dead load
15.67kN/m
Ultimate
dead load
Dead load from slab E-F/7-8
(Density of reinforced concrete) x
(slab thickness) x (Lx/2) x (2/3)(triangular)
= 24kN/m3 x 0.15m x 1m/2 x 2/3
= 1.2kN/m
11.19kN/m
Live load
Live load from slab E-F/7-8 (Corridor)
(Corridor factor) x (Lx/2)
= 1.5kN/m2 x 1m/2
= 0.58kN/m
0.58kN/m
Live load of
slab
E-F/7-8
1000
7
0.93kN/m
RYAN KERRY JEE JIN YIING 0318715
16.6kN/m
8
Ultimate live
load
Ultimate
load
16.6kN/m
Uniform distributed load (UDL)
= Ultimate load X Distance
= 16.6kN/m X 1m
= 16.6kN
Rb
8.3kN
Load
diagram
1000
∴ Ultimate live load
= Total live load X Live load factor
= (0.58kN/m) X 1.6
= 0.93kN/m
∴ Ultimate load
= Ultimate dead load + Ultimate live load
= (15.67+0.93)kN/m
= 16.60kN/m
∴ Reaction forces (UDL distributes evenly to
both sides)
= 16.6kN/2
= 8.3kN
∴ Ra = 8.3kN
Rb = 8.3kN
Ra
8.3kN
Shear force diagram
Bending moment diagram
0kN 0kN
8.3kN
-8.3kN
Shear force
diagram
( - )
( + )
Bending
moment
diagram
0kN 0kN
2.08kNm
Load diagram
• Dead load from beam self weight
• Dead load from wall self weight (B-E)
• Dead load from slab: 7-8/B-E
• Dead load from slab: 8-9/B-D
• Dead load from slab: 7-8/E-F
• Dead load from slab: 8-9/D-F
• Live load from slab: 7-8/B-E
• Live load from slab: 8-9/B-D
• Live load from slab: 7-8/E-F
• Live load from slab: 8-9/D-F
• Point load at D/8
• Point load at E/8
Ground Floor Beam 8/B-F
2000
B
Dead load from beam self weight 1.44kN/m
Dead load from wall self weight (B-E)
(Density of reinforced concrete) x (Beam size)
= 24kN/m3 x 0.2m x 0.3m
= 1.44kN/m
RYAN KERRY JEE JIN YIING 0318715
F
Beam self
weight
Wall self
weight
Dead load
of slab
7-8/B-E
(Density of brick wall) x (Wall size)
= 19kN/m3 x 0.15m x 3.0m
= 8.55kN/m
Dead load
Dead load from slab 7-8/B-E
(Density of reinforced concrete) x
(slab thickness) x (Lx/2)
= 24kN/m3 x 0.15m x 1m/2
= 1.8kN/m
1.8kN/m
D E
1000 1150
8.55kN/m
1.8kN/m
Dead load from slab 8-9/B-D
(Density of reinforced concrete) x
(slab thickness) x (Lx/2)
= 24kN/m3 x 0.15m x 1m/2
= 1.8kN/m
1.8kN/m
Dead load
of slab
8-9/B-D
Dead load from slab 7-8/E-F
(Density of reinforced concrete) x
(slab thickness) x (Lx/2)
= 24kN/m3 x 0.15m x 1m/2
= 1.8kN/m
1.8kN/m
Dead load
of slab
7-8/E-F
Dead load from slab 8-9/D-F
(Density of reinforced concrete) x
(slab thickness) x (Lx/2)
= 24kN/m3 x 0.15m x 1m/2
= 1.8kN/m
Dead load
of slab
8-9/D-F
Live load of
slab
7-8/B-E
2000
B
RYAN KERRY JEE JIN YIING 0318715
F
Total dead
load of B-D
D E
1000 1150
5.04kN/m
13.59kN/m
∴ Total dead load
B-D : (1.44+8.55+1.8+1.8)kN/m
= 13.59kN/m
D-E : (1.44+8.55+1.8+1.8)kN/m
= 13.59kN/m
E-F : (1.44+1.8+1.8)kN/m
= 5.04kN/m
∴ Ultimate dead load
= Total dead load X Dead load factor
B-D = 13.59kN/m X 1.4
= 19.03kN/m
D-E = 13.59kN/m X 1.4
= 19.04kN/m
E-F = 5.04kN/m X 1.4
= 7.06kN/m
13.59kN/m
Total dead
load of D-E
Total dead
load of E-F
19.03kN/m
5.04kN/m
19.03kN/m
Ultimate
dead load
Live load
Live load from slab 7-8/B-E (Corridor)
(Corridor factor) x (Lx/2)
= 1.5kN/m2 x 1m/2
= 0.75kN/m
0.75kN/m
Live load from slab 8-9/B-D (Corridor)
(Corridor factor) x (Lx/2)
= 1.5kN/m2 x 1m/2
= 0.75kN/m
Live load of
slab
8-9/B-D
0.75kN/m
Live load from slab 7-8/E-F (Corridor)
(Corridor factor) x (Lx/2)
= 1.5kN/m2 x 1m/2
= 0.75kN/m
Live load of
slab
7-8/E-F
0.75kN/m
Live load of
slab
8-9/D-F
2000
B
RYAN KERRY JEE JIN YIING 0318715
FD E
1000 1150
Live load from slab 8-9/D-F (Corridor)
(Corridor factor) x (Lx/2)
= 1.5kN/m2 x 1m/2
= 0.75kN/m
0.75kN/m
∴ Total live load
B-D : (0.75+0.75)kN/m
= 1.5kN/m
D-E : (0.75+0.75)kN/m
= 1.5kN/m
E-F : (0.75+0.75)kN/m
= 1.5kN/m
∴ Ultimate live load
= Total dead load X live load factor
B-D = 1.5kN/m X 1.6
= 2.4kN/m
D-E = 1.5kN/m X 1.6
= 2.4kN/m
E-F = 1.5kN/m X 1.6
= 2.4kN/m
Total live
load of B-D
1.5kN/m
1.5kN/m
1.5kN/m
Total live
load of D-E
Total live
load of E-F
2.4kN/m 2.4kN/m2.4kN/m
Ultimate
live load
∴ Ultimate load
= Ultimate dead load + Ultimate live load
B-D = (19.03+2.1)kN/m
= 21.43kN/m
D-E = (19.03+2.4)kN/m
= 21.43kN/m
E-F = (7.06+2.4)kN/m
= 9.46kN/m
21.43kN/m
9.46kN/m
21.43kN/m
Ultimate
load
2000
B
RYAN KERRY JEE JIN YIING 0318715
FD E
1000 1150
21.43kN/m
9.46kN/m
21.43kN/m
Point load
Point load at D/8
= 7kN (Refer to Beam D/8-9)
Point load at E/8
= 8.3kN (Refer to Beam E/7-8)
Load diagram
7kN 8.3kN
Ra Rb
M = 0
= (21.43)(2)(1)+(7)(2)+(21.43)(1)(2.5)
+(8.3)(3)+(9.46)(1.15)(3.58)-(4.15)(Rb)
= 42.86 + 14 + 53.58 + 24.9 + 38.95
- 4.15Rb
4.15Rb = 174.29kN
Rb = 42kN
48.47kN 42kN
Fy = 0
= Ra + Rb - (21.43)(2)-7-(21.43)(1)-8.3
-(9.46)(1.15)
- Ra = 42 - 42.86 - 21.43 - 10.88 - 7- 8.3
- Ra = - 48.47kN
Ra = 48.47kN
21.43kN/m
9.46kN/m
21.43kN/m
Load
diagram
7kN 8.3kN
2000
B
RYAN KERRY JEE JIN YIING 0318715
FD E
1000 1150
Bending moment diagram
Shear force diagram
0kN 0kN
Shear force
diagram
( - )
( + )
48.47kN
5.61kN
-1.39kN
-42kN
a
c
b
d e
a = (48.47 – 5.61)(2) /2
= 42.86
Bending
moment
diagram
0kN 0kN
54.08kNm
b = (5.61)(2)
= 11.22
c = (1.39 x 2.15)
= 2.99
d = (22.82-1.39)(1/2)
= 10.72
e = ( 31.12-1.39) x 1.15
= 34.29
f = (42-31.12) (1.15)/2
= 6.26
-22.82kN
-31.12kN
f
Ground Floor Beam B/7-9
1000
7
Dead load from beam self weight 1.44kN/m
Dead load from wall self weight (7-9)
(Density of reinforced concrete) x (Beam size)
= 24kN/m3 x 0.2m x 0.3m
= 1.44kN/m
RYAN KERRY JEE JIN YIING 0318715
9
Beam self
weight
Wall self
weight
Dead load
of slab
7-8/A-B
(Density of brick wall) x (Wall size)
= 19kN/m3 x 0.15m x 3.0m
= 8.55kN/m
Dead load
Dead load from slab 7-8/A-B
(Density of reinforced concrete) x
(slab thickness) x (Lx/2) x (2/3)
= 24kN/m3 x 0.15m x 2m/2 x 2/3
= 2.4kN/m
8
1000
8.55kN/m
2.4kN/m
Total dead
load of 7-8
∴ Total dead load
7-8 : (1.44+8.55+2.4)kN/m
= 12.39kN/m
8-9 : (1.44+8.55+2.4)kN/m
= 12.39kN/m
13.59kN/m
Total dead
load of 8-9
12.39kN/m
12.39kN/m
• Dead load from beam self weight
• Dead load from wall self weight (B-E)
• Dead load from slab: 7-9/A-B
• Live load from slab: 7-9/A-B
• Point load at 8/B
1000
7
17.35kN/m
RYAN KERRY JEE JIN YIING 0318715
9
Ultimate
dead load
8
1000
Ultimate
live load
Ultimate
load
19.48kN/m
∴ Ultimate dead load
= Total dead load X Dead load factor
7-8 = 12.39kN/m X 1.4
= 17.35kN/m
8-9 = 12.39kN/m X 1.4
= 17.35kN/m
17.35kN/m
Live load
Live load from slab 7-9/A-B (Bedroom)
(Bedroom factor) x (Lx/2) x (2/3)
= 2kN/m2 x 2m/2 x (2/3)
= 1.33kN/m
1.33kN/m
Live load
of slab
7-9/A-B
∴ Ultimate live load
= Total live load X live load factor
7-9 = 1.33kN/m X 1.6
= 2.13kN/m
2.13kN/m
∴ Ultimate load
19.48kN/m
Point load
Point load at 8/B
= 52.99kN (Refer to Beam 8/B-F)
52.99kN
19.48kN/m19.48kN/m
= Ultimate dead load + Ultimate live load
7-8 = (17.35+2.13)kN/m
= 19.48kN/m
8-9 = (17.35+2.13)kN/m
= 19.48kN/m
1000
7
RYAN KERRY JEE JIN YIING 0318715
9
Ra
8
1000
Load
diagram
48.47kN
19.48kN/m19.48kN/m
Rb
Load diagram
M = 0
= (19.48)(1)(0.5)+(48.47)(1)+(19.48)(1.5)(1)
- (2)(Rb)
= 9.74 + 48.47 + 29.22 - 2Rb
2Rb = 87.43
Rb = 43.72kN
Fy = 0
= Ra + Rb - (19.48)(1) - 48.47-
(19.48)(1)
- Ra = 43.72 - 19.48 - 48.47 - 19.48
- Ra = -43.71
Ra = 43.71kN
43.71kN 43.72kN
Shear force diagram
0kN 0kN
Shear force
diagram
( - )
( + )
43.71kN
24.23kN
-24.24kN
Bending moment diagram
-43.72kN
Bending
moment
diagram
0kN 0kN
33.97kNm
(43.71 – 24.23) x ½
=9.74
24.23 x 1
=24.23
9.74 + 24.23
= 33.97kNm
Ground Floor Beam C/6-7
6
Dead load from beam self weight 1.44kN/m
Dead load from wall self weight (6-7)
(Density of reinforced concrete) x (Beam size)
= 24kN/m3 x 0.2m x 0.3m
= 1.44kN/m
RYAN KERRY JEE JIN YIING 0318715
7
Beam self
weight
Wall self
weight
Dead load
of slab
A-C/6-7
(Density of brick wall) x (Wall size)
= 19kN/m3 x 0.15m x 3.0m
= 8.55kN/m
Dead load
Dead load from slab A-C/6-7
(Density of reinforced concrete) x
(slab thickness) x (Lx/2) x (2/3)
= 24kN/m3 x 0.15m x 3m/2 x 2/3
= 3.6kN/m
3000
8.55kN/m
3.6kN/m
∴ Total dead load
= (3.6+3.6+8.55+1.44)kN/m
= 17.19kN/m
Total dead
load
3.6kN/m
17.19kN/m
• Dead load from beam self weight
• Dead load from wall self weight (6-7)
• Dead load from slab: A-C/6-7
• Dead load from slab: C-F/6-7
• Live load from slab: A-C/6-7
• Live load from slab: C-F/6-7
Dead load from slab C-F/6-7
(Density of reinforced concrete) x
(slab thickness) x (Lx/2) x (2/3)
= 24kN/m3 x 0.15m x 3m/2 x 2/3
= 3.6kN/m
Dead load
of slab
C-F/6-7
∴ Ultimate dead load
= Total dead load X Dead load factor
= 17.19kN/m X 1.4
= 27.07kN/m
27.07kN/m
Ultimate
dead load
6
1kN/m
RYAN KERRY JEE JIN YIING 0318715
7
Live load
on slab
A-C/6-7
Total live
load
Live load 3000
0.75kN/m
1.75kN/m∴ Total live load
= (1+0.75)kN/m
= 1.75kN/m
Ultimate
load
2.8kN/m
26.87kN/m
Ultimate
live load
∴ Ultimate live load
= Total live load X live load factor
= 1.75kN/m X 1.6
= 2.8kN/m
26.87kN/m
Load
diagram
Live load from slab A-C/6-7 (Bathroom)
(Bathroom factor) x (Lx/2) x (2/3)
= 2kN/m2 x 1.5m/2 x (2/3)
= 1kN/m
Live load from slab C-F/6-7 (Corridor)
(Corridor factor) x (Lx/2) x (2/3)
= 1.5kN/m2 x 1.5m/2 x (2/3)
= 0.75kN/m
Live load
on slab
C-F/6-7
∴ Ultimate load
= Ultimate dead load + Ultimate live load
= (24.07+2.8)kN/m
= 26.87kN/m
Uniform distributed load (UDL)
= Ultimate load X Distance
= 26.87kN/m X 3m
= 80.61kN
∴ Reaction forces (UDL distributes evenly to
both sides)
= 80.61kN/2
= 40.31kN
∴ Ra = 40.31kN
Rb = 40.31kN
3000
Ra Rb
40.31kN 40.31kN
Load diagram
Shear force diagram
0kN 0kN
40.31kN
-40.31kN
Shear force
diagram
( - )
( + )
Ground Floor Beam C/6-7
Dead load from beam self weight 1.44kN/m
Dead load from wall self weight (A-C) & (E-F)
(Density of reinforced concrete) x (Beam size)
= 24kN/m3 x 0.2m x 0.3m
= 1.44kN/m
RYAN KERRY JEE JIN YIING 0318715
F
Beam self
weight
Wall self
weight
Dead load
of slab
A-B/7-9
(Density of brick wall) x (Wall size)
= 19kN/m3 x 0.15m x 3.0m
= 8.55kN/m
Dead load
Dead load from slab A-B/7-9
(Density of reinforced concrete) x
(slab thickness) x (Lx/2) x (2/3)
= 24kN/m3 x 0.15m x 2m/2 x 2/3
= 2.4kN/m
2000
8.55kN/m
2.4kN/m
1.8kN/m
5.4kN/m
• Dead load from beam self weight
• Dead load from wall self weight (A-C) & (E-F)
• Dead load from slab: A-B/7-9
• Dead load from slab: B-E/7-8
• Dead load from slab: E-F/7-8
• Dead load from slab: A-C/6-7
• Dead load from slab: C-F/6-7
• Live load from slab: A-B/7-9
• Live load from slab: B-E/7-8
• Live load from slab: E-F/7-8
• Live load from slab: A-C/6-7
• Live load from slab: C-F/6-7
• Point load at B/7
• Point load at C/7
• Point load at E/7
Dead load from slab B-E/7-8
(Density of reinforced concrete) x
(slab thickness) x (Lx/2)
= 24kN/m3 x 0.15m x 1m/2
= 1.8kN/m
Dead load
of slab
B-E/7-8
3.6kN/m
A C EB
1000 2000 1500
8.55kN/m
Dead load from slab E-F/7-8
(Density of reinforced concrete) x
(slab thickness) x (Lx/2)
= 24kN/m3 x 0.15m x 3m/2
= 5.4kN/m
Dead load
of slab
E-F/7-8
Dead load from slab A-C/6-7
(Density of reinforced concrete) x
(slab thickness) x (Lx/2) x (2/3)
= 24kN/m3 x 0.15m x 3m/2 x 2/3
= 3.6kN/m
Dead load
of slab
A-C/6-7
5.4kN/m
RYAN KERRY JEE JIN YIING 0318715
F
Dead load
of slab
C-F/6-7
Dead load from slab C-F/6-7
(Density of reinforced concrete) x
(slab thickness) x (Lx/2)
= 24kN/m3 x 0.15m x 3m/2 x 2/3
= 5.4kN/m
2000
15.99kN/m
A C EB
1000 2000 1500
∴ Total dead load
A-B = (1.44+8.55+2.4+3.6)kN/m
= 15.99kN/m
B-C = (1.44+8.55+1.8+3.6)Kn/M
= 15.39kN/m
C-E = (1.44+1.8+5.4)kN/m
= 8.64kN/m
E-F = (8.55+1.44+5.4+5.4)kN/m
= 20.79kN/m
∴ Ultimate dead load
= Total dead load X Dead load factor
A-B = 15.99kN/m X 1.4
= 22.39kN/m
B-C = 15.39kN/m X 1.4
= 21.55kN/m
C-E = 8.64kN/m X 1.4
= 12.10kN/m
E-F = 20.79kN/m X 1.4
= 29.11kN/m
Total dead
load of A-B
15.39kN/m
Total dead
load of B-C
8.64kN/m
Total dead
load of C-E
20.79kN/m
Total dead
load of E-F
22.39kN/m
Ultimate
dead load
of A-B
21.55kN/m
Ultimate
dead load
of B-C
12.10kN/m
Ultimate
dead load
of C-D
29.11kN/m
Ultimate
dead load
of E-F
RYAN KERRY JEE JIN YIING 0318715
F
Live load of
slab
A-B/7-9
2000
1.33kN/m
A C EB
1000 2000 1500
0.75kN/m
2kN/m
1kN/m
3.25kN/m
Live load
∴ Total live load
A-B = (1.33+2)kN/m
= 3.33kN/m
B-C = (0.75+2)kN/m
= 2.75kN/m
C-E = (0.75+2.25)kN/m
= 3kN/m
E-F = (1+2.25)kN/m
= 3.25kN/m
Live load from slab A-B/7-9 (Bedroom)
(Bedroom factor) x (Lx/2) x (2/3)
= 2kN/m2 x 2m/2 x (2/3)
= 1.33kN/m
Live load from slab B-E/7-8 (Corridor)
(Corridor factor) x (Lx/2)
= 1.5kN/m2 x 1m/2
= 0.75kN/m
Live load of
slab
B-E/7-8
Live load from slab E-F/7-8 (Bedroom)
(Bedroom factor) x (Lx/2)
= 2kN/m2 x 1m/2
= 1kN/m
Live load of
slab
E-F/7-8
Live load from slab A-C/6-7 (Bathroom)
(Bathroom factor) x (Lx/2) x (2/3)
= 2kN/m2 x 3m/2 x 2/3
= 2kN/m
Live load of
slab
A-C/6-7
Live load from slab C-F/6-7 (Corridor)
(Corridor factor) x (Lx/2)
= 1.5kN/m2 x 3m/2
= 2.25kN/m
2.25kN/m
Live load of
slab
C-F/6-7
3.33kN/m
Total live
load of
A-B
2.75kN/m
Total live
load of
B-C
3kN/m
Total live
load of
C-E
Total live
load of
E-F
RYAN KERRY JEE JIN YIING 0318715
F
2000
A C EB
1000 2000 1500
34.31kN/m
27.72kN/m
Ultimate
load
of A-B
25.95kN/m
Ultimate
load
of B-C
16.9kN/m
Ultimate
load
of C-E
Ultimate
load
of E-F
∴ Ultimate live load
= Total live load X live load factor
A-B = 3.33kN/m X 1.6
= 5.33kN/m
B-C = 2.75kN/m X 1.6
= 4.4kN/m
C-E = 3kN/m X 1.6
= 4.8kN/m
E-F = 3.25kN/m X 1.6
= 5.2kN/m
5.33kN/m
Ultimate
live load
of A-B
4.4kN/m
Ultimate
live load
of B-C
4.8kN/m
Ultimate
live load
of C-D
5.2kN/m
Ultimate
live load
of E-F
∴ Ultimate load
= Ultimate dead load + Ultimate live load
A-B = (22.39+5.33)kN/m
= 27.72kN/m
B-C = (21.55+4.4)kN/m
= 25.95kN/m
C-E = (12.1+4.8)kN/m
= 16.9kN/m
E-F = (29.11+5.2)kN/m
= 34.31kN/m
Point load
Point load at B/7
= 45.97kN (Refer to Beam B/7-9)
Point load at C/7
= 40.31kN (Refer to Beam C/6-7)
Point load at E/7
= 8.3kN (Refer to Beam E/7-8)
8.3kN/m
27.72kN/m
45.97kN/m
40.31kN/m
34.31kN/m
16.9kN/m
25.95kN/m
RYAN KERRY JEE JIN YIING 0318715
F
2000
A C EB
1000 2000 1500
8.3kN/m
27.72kN/m
43.71kN/m
40.31kN/m
34.31kN/m
16.9kN/m
25.95kN/m
Load diagram
Ra Rb
135.7kN 123.28kN
M = 0
= (27.72)(2)(1)+(43.71)(2)+(25.95)(1)(2.5)
+(40.31)(3)+(16.9)(2)(4)+(8.3)(5)+(34.31)
(1.5)(5.75) - (6.5)(Rb)
= 55.44 + 87.42 + 64.88 + 120.93 + 135.2
+ 41.5 + 295.92 - 6.5Rb
6.5Rb = 801.29kN
Rb = 123.28kN
Fy = 0
= Ra + Rb - (27.72)(2) – 43.71 -
(25.95)(1) - 40.31 - (16.9)(2) - 8.3 -
(34.31)(1.5)
- Ra = 123.28 - 55.44 – 43.71 - 25.95 - 40.31 -
33.8 - 8.3 - 51.47
- Ra = - 135.7kN
Ra = 135.7kN
0kN 0kN
Shear force
diagram
( - )
( + )
135.7kN
80.26kN
-29.71
10.6kN
-123.28kN
36.55kN
-63.51kN
-71.81kN
Shear force diagram
Load
diagram
RYAN KERRY JEE JIN YIING 0318715
F
2000
A C EB
1000 2000 1500
0kN 0kN
Shear force
diagram
( - )
( + )
135.7kN
80.26kN
-29.71
10.6kN
-123.28kN
36.55kN
-63.51kN
-71.81kN
Shear force diagram
Bending
moment
diagram
0kN 0kN
239.5kNm
a = (135.7 – 80.26) x 2 x ½
= 55.44
Bending moment diagram
a
b
d
c
e
f
g
h
b = 80.26 x 2
= 160.52
c = (36.55 – 10.6) x ½
= 12.98
d = 10.6 x 1
= 10.6
e = 29.71 x 3.5
= 103.99
f = (63.51-29.71)x 2/2
= 33.8
g = (71.81-29.71) x 1.5
= 63.15
h = (123.28-71.81)x 1.5 /2
= 38.6
Roof level
First level
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (2.5+3.08) x 24Kn/m3 x 0.3m x 0.2m
= 8.04kN
Dead load from slab:
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (7.7) x 24Kn/m3 x (0.15)m
= 27.72kN
Total dead load on from wall
= (total wall length) x (brickwall density) x (wall size)
= (2.5+3.08)m x 19kn/m3 x 0.15m x 3m
= 41.71kN
Column dead load
0.3 x 0.3 x 3 x 24
=6.48kN
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (2.5+3.08) x 24Kn/m3 x 0.3m x 0.2m
= 8.04kN
Dead load from slab:
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (7.7) x 24Kn/m3 x (0.15)m
= 27.72kN
5000
6150
2500
3080
6150
2500
3080
5000
Column A/10
RYAN KERRY JEE JIN YIING 0318715
6150
2500
Ground level
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density) x
(beam size)
= (2.5+2.5+3.08) x 24Kn/m3 x 0.3m x 0.2m
= 11.64kN
Dead load from slab:
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (3.08m x 2.5m) x 24Kn/m3 x (0.15)m
= 27.72kN
Total dead load on from wall
= (total wall length) x (brickwall density) x (wall size)
= (2.5+2.5+3.08)m x 19kn/m3 x 0.15m x 3m
= 69.08kN
3080
2500
5000
Column dead load
0.3 x 0.3 x 3 x 24
=6.48kN
Dead load acting on column A/7
Roof level
First level
Live load from slab
(Total bed room size ) x bedroom factor
7.7 x 2kN/m = 15.4kN
Live load from slab:
(Total slab area) x roof live load factor
=7.7 x 0.5
=3.85kN5000
6150
2500
3080
6150
2500
3080
5000
RYAN KERRY JEE JIN YIING 0318715
6150
2500
Ground level
Live load from slab:
(Total bedroom area) x bedroom factor +
(Total toilet area)(toilet factor)
= (3.0m x 2.5m)(2) + (0.08)(2)
=15.16 kN
3000
2500
5000
Live load acting on column A/10
Bedroom
80
Total dead load : 234.63kN
Ultimate dead load = 234.63 kN x 1.4
= 328.48kN
Total live load : 34.41kN
Ultimate dead load = 34.41kN x 1.6
= 55.6kN
Ultimate load = ultimate dead load + ultimate live load
= 328.48kN + 55.6kN
= 383.54kN
Ultimate load on column A/10= 383.54kN
RYAN KERRY JEE JIN YIING 0318715
80
10002000
500
3080
1000
1000
1500
4000
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (4+3.08+3.08+4+1.08) x 24Kn/m3 x 0.3m x 0.2m
= 16.07kN
Dead load from slab:
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (12.32) x 24Kn/m3 x (0.15)m
= 44.35kN
Total dead load on from wall
= (total wall length) x (brickwall density) x (wall size)
= (4+1+1.5+0.5+3+0.08)m x 19kn/m3 x 0.15m x 3m
= 86.18kN
Ground level
Dead load acting on column A/7
80
10002000
500
3080
1000
1000
1500
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (4+3.08+3.08+4+1.08) x 24Kn/m3 x 0.3m x 0.2m
= 16.07kN
Dead load from slab:
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (12.32) x 24Kn/m3 x (0.15)m
= 44.35kN
Total dead load on from wall
= (total wall length) x (brickwall density) x (wall size)
= (4+1+1.5+0.5+3+0.08)m x 19kn/m3 x 0.15m x 3m
= 86.18kN
first level
Roof level
3080
1500
Column A/7
4000
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (4+3.08) x 24Kn/m3 x 0.3m x 0.2m
= 17.74kN
Dead load from slab:
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (12.32) x 24Kn/m3 x (0.15)m
= 44.35kN
Column dead load
0.3 x 0.3 x 3 x 24
=6.48kN
Column dead load
0.3 x 0.3 x 3 x 24
=6.48kN
RYAN KERRY JEE JIN YIING 0318715
80
10002000
500
3080
1000
1000
1500
4000
80
10002000
500
3080
1000
1000
1500
4000
Roof level
Ground level
First level
3080
1500
4000
Live load acting on column A/7
Slab live load :
(Total slab area) x (roof live load factor)
= 12.32m2 x 0.5Kn/m2
=6.16 Kn
Total live load on roof level
=6.16kN
Bedroom
(Total bedroom areas) x (bedroom factor)
=(1.5m x 3.08m) (2Kn/m2) +
(2.5m x 1.08m) (2Kn/m2) +
(0.5m x 1m) (2Kn/m2)
=15.64 kN
Toilet
(Total toilet area) x (toilet factor)
= (2m x 2m) x 2.0 kN/m2
=8 kN
Total live load on first level
=23.64kN
Bedroom
(Total bedroom areas) x (bedroom factor)
=(1.5m x 1m) (2Kn/m2) + (2m x 2.5m) (2Kn/m2)
=13 Kn
Toilet
(Total toilet area) x (toilet factor)
= (1.5m x 3m) x 2.0 kN/m2
= 9kN
Corridor
(total corridor area) x (corridor factor)
= (0.08m x 4m) (1.5Kn/m2) + (2m x 1m) (1.5Kn/m2)
= 3.48 Kn
Total live load on ground level
=25.48kN
BEDROOM
BATH
BEDROOM
BEDROOM
BEDROOM
BATH
BEDROOM
CORRIDOR
RYAN KERRY JEE JIN YIING 0318715
Total dead load : 390.93kN
Ultimate dead load = 390.93kN x 1.4
= 547.3kN
Total live load : 55.28kN
Ultimate dead load = 55.28kN x 1.6
= 88.45kN
Ultimate load = ultimate dead load + ultimate live load
= 547.3kN + 88.45kN
= 635.75kN
Ultimate load on column A/7= 635.75kN
RYAN KERRY JEE JIN YIING 0318715
Roof level
Ground level
First level
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (8.63m) x 24Kn/m3 x 0.3m x 0.2m
= 31.07kN
Dead load from slab (assuming roof is concrete
slab):
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (4.63m x 2m) x 24Kn/m3 x (0.15)m
= 33.34kN
total dead load on from wall
= (total wall length) x (brickwall density) x (wall size)
= 6.63m x 19kn/m3 x 0.15m x 3m
= 56.69kN
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (8.63m) x 24Kn/m3 x 0.3m x 0.2m
= 31.07kN
Dead load from slab (assuming roof is concrete
slab):
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (4.63m x 2m) x 24Kn/m3 x (0.15)m
= 33.34kN
4625
1500
Dead load acting on column A/6
1750
1375
2000
4625
1500
1750
1375
2000
4625
1500
1750
1375
2000
Dead load from beam self weight:
(Total beam length) x (reinforced concrete density)
x (beam size)
= (8.63m) x 24Kn/m3 x 0.3m x 0.2m
= 31.07kN
Dead load from slab (assuming roof is concrete
slab):
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= (4.63m x 2m) x 24Kn/m3 x (0.15)m
= 33.34kN
total dead load on from wall
= (total wall length) x (brickwall density) x (wall size)
= 6.63m x 19kn/m3 x 0.15m x 3m
= 56.69kN
Column dead load
0.3 x 0.3 x 3 x 24
=6.48kN
Column dead load
0.3 x 0.3 x 3 x 24
=6.48kN
RYAN KERRY JEE JIN YIING 0318715
Column A/6
Roof level
Ground level
First level
Live load from stairs:
(stairs area) x (stairs factor)
= (1.38m x 2m) x 3kN/m2
= 8.28kN
Live load from corridor:
(Total corridor area) x (corridor factor) x
(slab thickness)
= (1.75m x 2m) x 1.5kN/m2
= 5.25kN
Total live load on from bedroom
= (total bedroom area) x bedroom factor
= 1.5m x 2m x 2kN/m2
= 56kN
Live load from slab :
(Total slab area) x 0.5kN/m2
= (4.63m x 2m) x 0.5kN/m2
= 4.63kN
4625
1500
Lead load acting on column A/6
1750
1375
2000
4625
1500
1750
1375
2000
4625
1500
1750
1375
2000
stairs
corridor
bedroom
stairs
corridor
bath
Live load from stairs:
(stairs area) x (stairs factor)
= (1.38m x 2m) x 3kN/m2
= 8.28kN
Live load from corridor:
(Total corridor area) x (corridor factor) x
(slab thickness)
= (1.75m x 2m) x 1.5kN/m2
= 5.25kN
Total live load on from bedroom
= (total bedroom area) x bedroom factor
= 1.5m x 2m x 2kN/m2
= 56kN
RYAN KERRY JEE JIN YIING 0318715
Total dead load : 319.57kN
Ultimate dead load = 319.57kN x 1.4
= 447.4kN
Total live load : 55.28kN
Ultimate dead load = 55.28kN x 1.6
= 88.45kN
Ultimate load = ultimate dead load + ultimate live load
=447.4kN + 88.45kN
= 535.85kN
Ultimate load on column A/6= 535.85kN
RYAN KERRY JEE JIN YIING 0318715

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Building Structure Project 2

  • 1. • Dead load from beam self weight • Dead load from wall self weight (D/8-9) Ground Floor Beam D/8-9 1000 8 Dead load from beam self weight 1.44kN/m Dead load from wall self weight (D/8-9) (Density of reinforced concrete) x (Beam size) = 24kN/m3 x 0.2m x 0.3m = 1.44kN/m RYAN KERRY JEE JIN YIING 0318715 8.55kN/m ∴ Total dead load 8-9 : (1.44+8.55)kN/m = 9.99kN/m = 10kN/m 10kN/m 9 Beam self weight Wall self weight Total dead load ∴ Ultimate load = Total dead load X Dead load factor = (10kN/m) X 1.4 = 14kN/m 14kN/m Ultimate load Uniform distributed load (UDL) = Ultimate load X Distance = 14kN/m X 1m = 14kN (Density of brick wall) x (Wall size) = 19kN/m3 x 0.15m x 3.0m = 8.55kN/m ∴ Reaction forces (UDL distributes evenly to both sides) = 14kN/2 = 7kN Dead load 14kN/m Ra Rb 7kN 7kN Load diagram ∴ Ra = 7kN Rb = 7kN 1000Load diagram
  • 2. RYAN KERRY JEE JIN YIING 0318715 1000 8 9 Shear force diagram 0kN 0kN 7kN -7kN Bending moment diagram Shear force diagram Bending moment diagram 0kN 0kN ( - ) ( + ) 1.75kNm Area of (Density of reinforced concrete) x (Beam size) = 24kN/m3 x 0.2m x 0.3m = 1.44kN/m
  • 3. • Dead load from beam self weight • Dead load from wall self weight (E/7-8) • Dead load from slab: E-F/7-8 • Live load from slab: E-F/7-8 Ground Floor Beam E/7-8 1000 7 Dead load from beam self weight 1.44kN/m Dead load from wall self weight (E/7-8) (Density of reinforced concrete) x (Beam size) = 24kN/m3 x 0.2m x 0.3m = 1.44kN/m RYAN KERRY JEE JIN YIING 0318715 8.55kN/m ∴ Total dead load 7-8 : (1.44+8.55+1.2)kN/m = 11.19kN/m 1.2kN/m 8 Beam self weight Wall self weight Dead load of slab E-F/7-8 ∴ Ultimate dead load = Total dead load X Dead load factor = (11.19kN/m) X 1.4 = 15.67kN/m Total dead load (Density of brick wall) x (Wall size) = 19kN/m3 x 0.15m x 3.0m = 8.55kN/m Dead load 15.67kN/m Ultimate dead load Dead load from slab E-F/7-8 (Density of reinforced concrete) x (slab thickness) x (Lx/2) x (2/3)(triangular) = 24kN/m3 x 0.15m x 1m/2 x 2/3 = 1.2kN/m 11.19kN/m Live load Live load from slab E-F/7-8 (Corridor) (Corridor factor) x (Lx/2) = 1.5kN/m2 x 1m/2 = 0.58kN/m 0.58kN/m Live load of slab E-F/7-8
  • 4. 1000 7 0.93kN/m RYAN KERRY JEE JIN YIING 0318715 16.6kN/m 8 Ultimate live load Ultimate load 16.6kN/m Uniform distributed load (UDL) = Ultimate load X Distance = 16.6kN/m X 1m = 16.6kN Rb 8.3kN Load diagram 1000 ∴ Ultimate live load = Total live load X Live load factor = (0.58kN/m) X 1.6 = 0.93kN/m ∴ Ultimate load = Ultimate dead load + Ultimate live load = (15.67+0.93)kN/m = 16.60kN/m ∴ Reaction forces (UDL distributes evenly to both sides) = 16.6kN/2 = 8.3kN ∴ Ra = 8.3kN Rb = 8.3kN Ra 8.3kN Shear force diagram Bending moment diagram 0kN 0kN 8.3kN -8.3kN Shear force diagram ( - ) ( + ) Bending moment diagram 0kN 0kN 2.08kNm Load diagram
  • 5. • Dead load from beam self weight • Dead load from wall self weight (B-E) • Dead load from slab: 7-8/B-E • Dead load from slab: 8-9/B-D • Dead load from slab: 7-8/E-F • Dead load from slab: 8-9/D-F • Live load from slab: 7-8/B-E • Live load from slab: 8-9/B-D • Live load from slab: 7-8/E-F • Live load from slab: 8-9/D-F • Point load at D/8 • Point load at E/8 Ground Floor Beam 8/B-F 2000 B Dead load from beam self weight 1.44kN/m Dead load from wall self weight (B-E) (Density of reinforced concrete) x (Beam size) = 24kN/m3 x 0.2m x 0.3m = 1.44kN/m RYAN KERRY JEE JIN YIING 0318715 F Beam self weight Wall self weight Dead load of slab 7-8/B-E (Density of brick wall) x (Wall size) = 19kN/m3 x 0.15m x 3.0m = 8.55kN/m Dead load Dead load from slab 7-8/B-E (Density of reinforced concrete) x (slab thickness) x (Lx/2) = 24kN/m3 x 0.15m x 1m/2 = 1.8kN/m 1.8kN/m D E 1000 1150 8.55kN/m 1.8kN/m Dead load from slab 8-9/B-D (Density of reinforced concrete) x (slab thickness) x (Lx/2) = 24kN/m3 x 0.15m x 1m/2 = 1.8kN/m 1.8kN/m Dead load of slab 8-9/B-D Dead load from slab 7-8/E-F (Density of reinforced concrete) x (slab thickness) x (Lx/2) = 24kN/m3 x 0.15m x 1m/2 = 1.8kN/m 1.8kN/m Dead load of slab 7-8/E-F Dead load from slab 8-9/D-F (Density of reinforced concrete) x (slab thickness) x (Lx/2) = 24kN/m3 x 0.15m x 1m/2 = 1.8kN/m Dead load of slab 8-9/D-F
  • 6. Live load of slab 7-8/B-E 2000 B RYAN KERRY JEE JIN YIING 0318715 F Total dead load of B-D D E 1000 1150 5.04kN/m 13.59kN/m ∴ Total dead load B-D : (1.44+8.55+1.8+1.8)kN/m = 13.59kN/m D-E : (1.44+8.55+1.8+1.8)kN/m = 13.59kN/m E-F : (1.44+1.8+1.8)kN/m = 5.04kN/m ∴ Ultimate dead load = Total dead load X Dead load factor B-D = 13.59kN/m X 1.4 = 19.03kN/m D-E = 13.59kN/m X 1.4 = 19.04kN/m E-F = 5.04kN/m X 1.4 = 7.06kN/m 13.59kN/m Total dead load of D-E Total dead load of E-F 19.03kN/m 5.04kN/m 19.03kN/m Ultimate dead load Live load Live load from slab 7-8/B-E (Corridor) (Corridor factor) x (Lx/2) = 1.5kN/m2 x 1m/2 = 0.75kN/m 0.75kN/m Live load from slab 8-9/B-D (Corridor) (Corridor factor) x (Lx/2) = 1.5kN/m2 x 1m/2 = 0.75kN/m Live load of slab 8-9/B-D 0.75kN/m Live load from slab 7-8/E-F (Corridor) (Corridor factor) x (Lx/2) = 1.5kN/m2 x 1m/2 = 0.75kN/m Live load of slab 7-8/E-F 0.75kN/m
  • 7. Live load of slab 8-9/D-F 2000 B RYAN KERRY JEE JIN YIING 0318715 FD E 1000 1150 Live load from slab 8-9/D-F (Corridor) (Corridor factor) x (Lx/2) = 1.5kN/m2 x 1m/2 = 0.75kN/m 0.75kN/m ∴ Total live load B-D : (0.75+0.75)kN/m = 1.5kN/m D-E : (0.75+0.75)kN/m = 1.5kN/m E-F : (0.75+0.75)kN/m = 1.5kN/m ∴ Ultimate live load = Total dead load X live load factor B-D = 1.5kN/m X 1.6 = 2.4kN/m D-E = 1.5kN/m X 1.6 = 2.4kN/m E-F = 1.5kN/m X 1.6 = 2.4kN/m Total live load of B-D 1.5kN/m 1.5kN/m 1.5kN/m Total live load of D-E Total live load of E-F 2.4kN/m 2.4kN/m2.4kN/m Ultimate live load ∴ Ultimate load = Ultimate dead load + Ultimate live load B-D = (19.03+2.1)kN/m = 21.43kN/m D-E = (19.03+2.4)kN/m = 21.43kN/m E-F = (7.06+2.4)kN/m = 9.46kN/m 21.43kN/m 9.46kN/m 21.43kN/m Ultimate load
  • 8. 2000 B RYAN KERRY JEE JIN YIING 0318715 FD E 1000 1150 21.43kN/m 9.46kN/m 21.43kN/m Point load Point load at D/8 = 7kN (Refer to Beam D/8-9) Point load at E/8 = 8.3kN (Refer to Beam E/7-8) Load diagram 7kN 8.3kN Ra Rb M = 0 = (21.43)(2)(1)+(7)(2)+(21.43)(1)(2.5) +(8.3)(3)+(9.46)(1.15)(3.58)-(4.15)(Rb) = 42.86 + 14 + 53.58 + 24.9 + 38.95 - 4.15Rb 4.15Rb = 174.29kN Rb = 42kN 48.47kN 42kN Fy = 0 = Ra + Rb - (21.43)(2)-7-(21.43)(1)-8.3 -(9.46)(1.15) - Ra = 42 - 42.86 - 21.43 - 10.88 - 7- 8.3 - Ra = - 48.47kN Ra = 48.47kN 21.43kN/m 9.46kN/m 21.43kN/m Load diagram 7kN 8.3kN
  • 9. 2000 B RYAN KERRY JEE JIN YIING 0318715 FD E 1000 1150 Bending moment diagram Shear force diagram 0kN 0kN Shear force diagram ( - ) ( + ) 48.47kN 5.61kN -1.39kN -42kN a c b d e a = (48.47 – 5.61)(2) /2 = 42.86 Bending moment diagram 0kN 0kN 54.08kNm b = (5.61)(2) = 11.22 c = (1.39 x 2.15) = 2.99 d = (22.82-1.39)(1/2) = 10.72 e = ( 31.12-1.39) x 1.15 = 34.29 f = (42-31.12) (1.15)/2 = 6.26 -22.82kN -31.12kN f
  • 10. Ground Floor Beam B/7-9 1000 7 Dead load from beam self weight 1.44kN/m Dead load from wall self weight (7-9) (Density of reinforced concrete) x (Beam size) = 24kN/m3 x 0.2m x 0.3m = 1.44kN/m RYAN KERRY JEE JIN YIING 0318715 9 Beam self weight Wall self weight Dead load of slab 7-8/A-B (Density of brick wall) x (Wall size) = 19kN/m3 x 0.15m x 3.0m = 8.55kN/m Dead load Dead load from slab 7-8/A-B (Density of reinforced concrete) x (slab thickness) x (Lx/2) x (2/3) = 24kN/m3 x 0.15m x 2m/2 x 2/3 = 2.4kN/m 8 1000 8.55kN/m 2.4kN/m Total dead load of 7-8 ∴ Total dead load 7-8 : (1.44+8.55+2.4)kN/m = 12.39kN/m 8-9 : (1.44+8.55+2.4)kN/m = 12.39kN/m 13.59kN/m Total dead load of 8-9 12.39kN/m 12.39kN/m • Dead load from beam self weight • Dead load from wall self weight (B-E) • Dead load from slab: 7-9/A-B • Live load from slab: 7-9/A-B • Point load at 8/B
  • 11. 1000 7 17.35kN/m RYAN KERRY JEE JIN YIING 0318715 9 Ultimate dead load 8 1000 Ultimate live load Ultimate load 19.48kN/m ∴ Ultimate dead load = Total dead load X Dead load factor 7-8 = 12.39kN/m X 1.4 = 17.35kN/m 8-9 = 12.39kN/m X 1.4 = 17.35kN/m 17.35kN/m Live load Live load from slab 7-9/A-B (Bedroom) (Bedroom factor) x (Lx/2) x (2/3) = 2kN/m2 x 2m/2 x (2/3) = 1.33kN/m 1.33kN/m Live load of slab 7-9/A-B ∴ Ultimate live load = Total live load X live load factor 7-9 = 1.33kN/m X 1.6 = 2.13kN/m 2.13kN/m ∴ Ultimate load 19.48kN/m Point load Point load at 8/B = 52.99kN (Refer to Beam 8/B-F) 52.99kN 19.48kN/m19.48kN/m = Ultimate dead load + Ultimate live load 7-8 = (17.35+2.13)kN/m = 19.48kN/m 8-9 = (17.35+2.13)kN/m = 19.48kN/m
  • 12. 1000 7 RYAN KERRY JEE JIN YIING 0318715 9 Ra 8 1000 Load diagram 48.47kN 19.48kN/m19.48kN/m Rb Load diagram M = 0 = (19.48)(1)(0.5)+(48.47)(1)+(19.48)(1.5)(1) - (2)(Rb) = 9.74 + 48.47 + 29.22 - 2Rb 2Rb = 87.43 Rb = 43.72kN Fy = 0 = Ra + Rb - (19.48)(1) - 48.47- (19.48)(1) - Ra = 43.72 - 19.48 - 48.47 - 19.48 - Ra = -43.71 Ra = 43.71kN 43.71kN 43.72kN Shear force diagram 0kN 0kN Shear force diagram ( - ) ( + ) 43.71kN 24.23kN -24.24kN Bending moment diagram -43.72kN Bending moment diagram 0kN 0kN 33.97kNm (43.71 – 24.23) x ½ =9.74 24.23 x 1 =24.23 9.74 + 24.23 = 33.97kNm
  • 13. Ground Floor Beam C/6-7 6 Dead load from beam self weight 1.44kN/m Dead load from wall self weight (6-7) (Density of reinforced concrete) x (Beam size) = 24kN/m3 x 0.2m x 0.3m = 1.44kN/m RYAN KERRY JEE JIN YIING 0318715 7 Beam self weight Wall self weight Dead load of slab A-C/6-7 (Density of brick wall) x (Wall size) = 19kN/m3 x 0.15m x 3.0m = 8.55kN/m Dead load Dead load from slab A-C/6-7 (Density of reinforced concrete) x (slab thickness) x (Lx/2) x (2/3) = 24kN/m3 x 0.15m x 3m/2 x 2/3 = 3.6kN/m 3000 8.55kN/m 3.6kN/m ∴ Total dead load = (3.6+3.6+8.55+1.44)kN/m = 17.19kN/m Total dead load 3.6kN/m 17.19kN/m • Dead load from beam self weight • Dead load from wall self weight (6-7) • Dead load from slab: A-C/6-7 • Dead load from slab: C-F/6-7 • Live load from slab: A-C/6-7 • Live load from slab: C-F/6-7 Dead load from slab C-F/6-7 (Density of reinforced concrete) x (slab thickness) x (Lx/2) x (2/3) = 24kN/m3 x 0.15m x 3m/2 x 2/3 = 3.6kN/m Dead load of slab C-F/6-7 ∴ Ultimate dead load = Total dead load X Dead load factor = 17.19kN/m X 1.4 = 27.07kN/m 27.07kN/m Ultimate dead load
  • 14. 6 1kN/m RYAN KERRY JEE JIN YIING 0318715 7 Live load on slab A-C/6-7 Total live load Live load 3000 0.75kN/m 1.75kN/m∴ Total live load = (1+0.75)kN/m = 1.75kN/m Ultimate load 2.8kN/m 26.87kN/m Ultimate live load ∴ Ultimate live load = Total live load X live load factor = 1.75kN/m X 1.6 = 2.8kN/m 26.87kN/m Load diagram Live load from slab A-C/6-7 (Bathroom) (Bathroom factor) x (Lx/2) x (2/3) = 2kN/m2 x 1.5m/2 x (2/3) = 1kN/m Live load from slab C-F/6-7 (Corridor) (Corridor factor) x (Lx/2) x (2/3) = 1.5kN/m2 x 1.5m/2 x (2/3) = 0.75kN/m Live load on slab C-F/6-7 ∴ Ultimate load = Ultimate dead load + Ultimate live load = (24.07+2.8)kN/m = 26.87kN/m Uniform distributed load (UDL) = Ultimate load X Distance = 26.87kN/m X 3m = 80.61kN ∴ Reaction forces (UDL distributes evenly to both sides) = 80.61kN/2 = 40.31kN ∴ Ra = 40.31kN Rb = 40.31kN 3000 Ra Rb 40.31kN 40.31kN Load diagram Shear force diagram 0kN 0kN 40.31kN -40.31kN Shear force diagram ( - ) ( + )
  • 15. Ground Floor Beam C/6-7 Dead load from beam self weight 1.44kN/m Dead load from wall self weight (A-C) & (E-F) (Density of reinforced concrete) x (Beam size) = 24kN/m3 x 0.2m x 0.3m = 1.44kN/m RYAN KERRY JEE JIN YIING 0318715 F Beam self weight Wall self weight Dead load of slab A-B/7-9 (Density of brick wall) x (Wall size) = 19kN/m3 x 0.15m x 3.0m = 8.55kN/m Dead load Dead load from slab A-B/7-9 (Density of reinforced concrete) x (slab thickness) x (Lx/2) x (2/3) = 24kN/m3 x 0.15m x 2m/2 x 2/3 = 2.4kN/m 2000 8.55kN/m 2.4kN/m 1.8kN/m 5.4kN/m • Dead load from beam self weight • Dead load from wall self weight (A-C) & (E-F) • Dead load from slab: A-B/7-9 • Dead load from slab: B-E/7-8 • Dead load from slab: E-F/7-8 • Dead load from slab: A-C/6-7 • Dead load from slab: C-F/6-7 • Live load from slab: A-B/7-9 • Live load from slab: B-E/7-8 • Live load from slab: E-F/7-8 • Live load from slab: A-C/6-7 • Live load from slab: C-F/6-7 • Point load at B/7 • Point load at C/7 • Point load at E/7 Dead load from slab B-E/7-8 (Density of reinforced concrete) x (slab thickness) x (Lx/2) = 24kN/m3 x 0.15m x 1m/2 = 1.8kN/m Dead load of slab B-E/7-8 3.6kN/m A C EB 1000 2000 1500 8.55kN/m Dead load from slab E-F/7-8 (Density of reinforced concrete) x (slab thickness) x (Lx/2) = 24kN/m3 x 0.15m x 3m/2 = 5.4kN/m Dead load of slab E-F/7-8 Dead load from slab A-C/6-7 (Density of reinforced concrete) x (slab thickness) x (Lx/2) x (2/3) = 24kN/m3 x 0.15m x 3m/2 x 2/3 = 3.6kN/m Dead load of slab A-C/6-7
  • 16. 5.4kN/m RYAN KERRY JEE JIN YIING 0318715 F Dead load of slab C-F/6-7 Dead load from slab C-F/6-7 (Density of reinforced concrete) x (slab thickness) x (Lx/2) = 24kN/m3 x 0.15m x 3m/2 x 2/3 = 5.4kN/m 2000 15.99kN/m A C EB 1000 2000 1500 ∴ Total dead load A-B = (1.44+8.55+2.4+3.6)kN/m = 15.99kN/m B-C = (1.44+8.55+1.8+3.6)Kn/M = 15.39kN/m C-E = (1.44+1.8+5.4)kN/m = 8.64kN/m E-F = (8.55+1.44+5.4+5.4)kN/m = 20.79kN/m ∴ Ultimate dead load = Total dead load X Dead load factor A-B = 15.99kN/m X 1.4 = 22.39kN/m B-C = 15.39kN/m X 1.4 = 21.55kN/m C-E = 8.64kN/m X 1.4 = 12.10kN/m E-F = 20.79kN/m X 1.4 = 29.11kN/m Total dead load of A-B 15.39kN/m Total dead load of B-C 8.64kN/m Total dead load of C-E 20.79kN/m Total dead load of E-F 22.39kN/m Ultimate dead load of A-B 21.55kN/m Ultimate dead load of B-C 12.10kN/m Ultimate dead load of C-D 29.11kN/m Ultimate dead load of E-F
  • 17. RYAN KERRY JEE JIN YIING 0318715 F Live load of slab A-B/7-9 2000 1.33kN/m A C EB 1000 2000 1500 0.75kN/m 2kN/m 1kN/m 3.25kN/m Live load ∴ Total live load A-B = (1.33+2)kN/m = 3.33kN/m B-C = (0.75+2)kN/m = 2.75kN/m C-E = (0.75+2.25)kN/m = 3kN/m E-F = (1+2.25)kN/m = 3.25kN/m Live load from slab A-B/7-9 (Bedroom) (Bedroom factor) x (Lx/2) x (2/3) = 2kN/m2 x 2m/2 x (2/3) = 1.33kN/m Live load from slab B-E/7-8 (Corridor) (Corridor factor) x (Lx/2) = 1.5kN/m2 x 1m/2 = 0.75kN/m Live load of slab B-E/7-8 Live load from slab E-F/7-8 (Bedroom) (Bedroom factor) x (Lx/2) = 2kN/m2 x 1m/2 = 1kN/m Live load of slab E-F/7-8 Live load from slab A-C/6-7 (Bathroom) (Bathroom factor) x (Lx/2) x (2/3) = 2kN/m2 x 3m/2 x 2/3 = 2kN/m Live load of slab A-C/6-7 Live load from slab C-F/6-7 (Corridor) (Corridor factor) x (Lx/2) = 1.5kN/m2 x 3m/2 = 2.25kN/m 2.25kN/m Live load of slab C-F/6-7 3.33kN/m Total live load of A-B 2.75kN/m Total live load of B-C 3kN/m Total live load of C-E Total live load of E-F
  • 18. RYAN KERRY JEE JIN YIING 0318715 F 2000 A C EB 1000 2000 1500 34.31kN/m 27.72kN/m Ultimate load of A-B 25.95kN/m Ultimate load of B-C 16.9kN/m Ultimate load of C-E Ultimate load of E-F ∴ Ultimate live load = Total live load X live load factor A-B = 3.33kN/m X 1.6 = 5.33kN/m B-C = 2.75kN/m X 1.6 = 4.4kN/m C-E = 3kN/m X 1.6 = 4.8kN/m E-F = 3.25kN/m X 1.6 = 5.2kN/m 5.33kN/m Ultimate live load of A-B 4.4kN/m Ultimate live load of B-C 4.8kN/m Ultimate live load of C-D 5.2kN/m Ultimate live load of E-F ∴ Ultimate load = Ultimate dead load + Ultimate live load A-B = (22.39+5.33)kN/m = 27.72kN/m B-C = (21.55+4.4)kN/m = 25.95kN/m C-E = (12.1+4.8)kN/m = 16.9kN/m E-F = (29.11+5.2)kN/m = 34.31kN/m Point load Point load at B/7 = 45.97kN (Refer to Beam B/7-9) Point load at C/7 = 40.31kN (Refer to Beam C/6-7) Point load at E/7 = 8.3kN (Refer to Beam E/7-8) 8.3kN/m 27.72kN/m 45.97kN/m 40.31kN/m 34.31kN/m 16.9kN/m 25.95kN/m
  • 19. RYAN KERRY JEE JIN YIING 0318715 F 2000 A C EB 1000 2000 1500 8.3kN/m 27.72kN/m 43.71kN/m 40.31kN/m 34.31kN/m 16.9kN/m 25.95kN/m Load diagram Ra Rb 135.7kN 123.28kN M = 0 = (27.72)(2)(1)+(43.71)(2)+(25.95)(1)(2.5) +(40.31)(3)+(16.9)(2)(4)+(8.3)(5)+(34.31) (1.5)(5.75) - (6.5)(Rb) = 55.44 + 87.42 + 64.88 + 120.93 + 135.2 + 41.5 + 295.92 - 6.5Rb 6.5Rb = 801.29kN Rb = 123.28kN Fy = 0 = Ra + Rb - (27.72)(2) – 43.71 - (25.95)(1) - 40.31 - (16.9)(2) - 8.3 - (34.31)(1.5) - Ra = 123.28 - 55.44 – 43.71 - 25.95 - 40.31 - 33.8 - 8.3 - 51.47 - Ra = - 135.7kN Ra = 135.7kN 0kN 0kN Shear force diagram ( - ) ( + ) 135.7kN 80.26kN -29.71 10.6kN -123.28kN 36.55kN -63.51kN -71.81kN Shear force diagram Load diagram
  • 20. RYAN KERRY JEE JIN YIING 0318715 F 2000 A C EB 1000 2000 1500 0kN 0kN Shear force diagram ( - ) ( + ) 135.7kN 80.26kN -29.71 10.6kN -123.28kN 36.55kN -63.51kN -71.81kN Shear force diagram Bending moment diagram 0kN 0kN 239.5kNm a = (135.7 – 80.26) x 2 x ½ = 55.44 Bending moment diagram a b d c e f g h b = 80.26 x 2 = 160.52 c = (36.55 – 10.6) x ½ = 12.98 d = 10.6 x 1 = 10.6 e = 29.71 x 3.5 = 103.99 f = (63.51-29.71)x 2/2 = 33.8 g = (71.81-29.71) x 1.5 = 63.15 h = (123.28-71.81)x 1.5 /2 = 38.6
  • 21. Roof level First level Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (2.5+3.08) x 24Kn/m3 x 0.3m x 0.2m = 8.04kN Dead load from slab: (Total slab area) x (reinforced concrete density) x (slab thickness) = (7.7) x 24Kn/m3 x (0.15)m = 27.72kN Total dead load on from wall = (total wall length) x (brickwall density) x (wall size) = (2.5+3.08)m x 19kn/m3 x 0.15m x 3m = 41.71kN Column dead load 0.3 x 0.3 x 3 x 24 =6.48kN Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (2.5+3.08) x 24Kn/m3 x 0.3m x 0.2m = 8.04kN Dead load from slab: (Total slab area) x (reinforced concrete density) x (slab thickness) = (7.7) x 24Kn/m3 x (0.15)m = 27.72kN 5000 6150 2500 3080 6150 2500 3080 5000 Column A/10 RYAN KERRY JEE JIN YIING 0318715 6150 2500 Ground level Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (2.5+2.5+3.08) x 24Kn/m3 x 0.3m x 0.2m = 11.64kN Dead load from slab: (Total slab area) x (reinforced concrete density) x (slab thickness) = (3.08m x 2.5m) x 24Kn/m3 x (0.15)m = 27.72kN Total dead load on from wall = (total wall length) x (brickwall density) x (wall size) = (2.5+2.5+3.08)m x 19kn/m3 x 0.15m x 3m = 69.08kN 3080 2500 5000 Column dead load 0.3 x 0.3 x 3 x 24 =6.48kN Dead load acting on column A/7
  • 22. Roof level First level Live load from slab (Total bed room size ) x bedroom factor 7.7 x 2kN/m = 15.4kN Live load from slab: (Total slab area) x roof live load factor =7.7 x 0.5 =3.85kN5000 6150 2500 3080 6150 2500 3080 5000 RYAN KERRY JEE JIN YIING 0318715 6150 2500 Ground level Live load from slab: (Total bedroom area) x bedroom factor + (Total toilet area)(toilet factor) = (3.0m x 2.5m)(2) + (0.08)(2) =15.16 kN 3000 2500 5000 Live load acting on column A/10 Bedroom 80
  • 23. Total dead load : 234.63kN Ultimate dead load = 234.63 kN x 1.4 = 328.48kN Total live load : 34.41kN Ultimate dead load = 34.41kN x 1.6 = 55.6kN Ultimate load = ultimate dead load + ultimate live load = 328.48kN + 55.6kN = 383.54kN Ultimate load on column A/10= 383.54kN RYAN KERRY JEE JIN YIING 0318715
  • 24. 80 10002000 500 3080 1000 1000 1500 4000 Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (4+3.08+3.08+4+1.08) x 24Kn/m3 x 0.3m x 0.2m = 16.07kN Dead load from slab: (Total slab area) x (reinforced concrete density) x (slab thickness) = (12.32) x 24Kn/m3 x (0.15)m = 44.35kN Total dead load on from wall = (total wall length) x (brickwall density) x (wall size) = (4+1+1.5+0.5+3+0.08)m x 19kn/m3 x 0.15m x 3m = 86.18kN Ground level Dead load acting on column A/7 80 10002000 500 3080 1000 1000 1500 Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (4+3.08+3.08+4+1.08) x 24Kn/m3 x 0.3m x 0.2m = 16.07kN Dead load from slab: (Total slab area) x (reinforced concrete density) x (slab thickness) = (12.32) x 24Kn/m3 x (0.15)m = 44.35kN Total dead load on from wall = (total wall length) x (brickwall density) x (wall size) = (4+1+1.5+0.5+3+0.08)m x 19kn/m3 x 0.15m x 3m = 86.18kN first level Roof level 3080 1500 Column A/7 4000 Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (4+3.08) x 24Kn/m3 x 0.3m x 0.2m = 17.74kN Dead load from slab: (Total slab area) x (reinforced concrete density) x (slab thickness) = (12.32) x 24Kn/m3 x (0.15)m = 44.35kN Column dead load 0.3 x 0.3 x 3 x 24 =6.48kN Column dead load 0.3 x 0.3 x 3 x 24 =6.48kN RYAN KERRY JEE JIN YIING 0318715
  • 25. 80 10002000 500 3080 1000 1000 1500 4000 80 10002000 500 3080 1000 1000 1500 4000 Roof level Ground level First level 3080 1500 4000 Live load acting on column A/7 Slab live load : (Total slab area) x (roof live load factor) = 12.32m2 x 0.5Kn/m2 =6.16 Kn Total live load on roof level =6.16kN Bedroom (Total bedroom areas) x (bedroom factor) =(1.5m x 3.08m) (2Kn/m2) + (2.5m x 1.08m) (2Kn/m2) + (0.5m x 1m) (2Kn/m2) =15.64 kN Toilet (Total toilet area) x (toilet factor) = (2m x 2m) x 2.0 kN/m2 =8 kN Total live load on first level =23.64kN Bedroom (Total bedroom areas) x (bedroom factor) =(1.5m x 1m) (2Kn/m2) + (2m x 2.5m) (2Kn/m2) =13 Kn Toilet (Total toilet area) x (toilet factor) = (1.5m x 3m) x 2.0 kN/m2 = 9kN Corridor (total corridor area) x (corridor factor) = (0.08m x 4m) (1.5Kn/m2) + (2m x 1m) (1.5Kn/m2) = 3.48 Kn Total live load on ground level =25.48kN BEDROOM BATH BEDROOM BEDROOM BEDROOM BATH BEDROOM CORRIDOR RYAN KERRY JEE JIN YIING 0318715
  • 26. Total dead load : 390.93kN Ultimate dead load = 390.93kN x 1.4 = 547.3kN Total live load : 55.28kN Ultimate dead load = 55.28kN x 1.6 = 88.45kN Ultimate load = ultimate dead load + ultimate live load = 547.3kN + 88.45kN = 635.75kN Ultimate load on column A/7= 635.75kN RYAN KERRY JEE JIN YIING 0318715
  • 27. Roof level Ground level First level Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (8.63m) x 24Kn/m3 x 0.3m x 0.2m = 31.07kN Dead load from slab (assuming roof is concrete slab): (Total slab area) x (reinforced concrete density) x (slab thickness) = (4.63m x 2m) x 24Kn/m3 x (0.15)m = 33.34kN total dead load on from wall = (total wall length) x (brickwall density) x (wall size) = 6.63m x 19kn/m3 x 0.15m x 3m = 56.69kN Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (8.63m) x 24Kn/m3 x 0.3m x 0.2m = 31.07kN Dead load from slab (assuming roof is concrete slab): (Total slab area) x (reinforced concrete density) x (slab thickness) = (4.63m x 2m) x 24Kn/m3 x (0.15)m = 33.34kN 4625 1500 Dead load acting on column A/6 1750 1375 2000 4625 1500 1750 1375 2000 4625 1500 1750 1375 2000 Dead load from beam self weight: (Total beam length) x (reinforced concrete density) x (beam size) = (8.63m) x 24Kn/m3 x 0.3m x 0.2m = 31.07kN Dead load from slab (assuming roof is concrete slab): (Total slab area) x (reinforced concrete density) x (slab thickness) = (4.63m x 2m) x 24Kn/m3 x (0.15)m = 33.34kN total dead load on from wall = (total wall length) x (brickwall density) x (wall size) = 6.63m x 19kn/m3 x 0.15m x 3m = 56.69kN Column dead load 0.3 x 0.3 x 3 x 24 =6.48kN Column dead load 0.3 x 0.3 x 3 x 24 =6.48kN RYAN KERRY JEE JIN YIING 0318715 Column A/6
  • 28. Roof level Ground level First level Live load from stairs: (stairs area) x (stairs factor) = (1.38m x 2m) x 3kN/m2 = 8.28kN Live load from corridor: (Total corridor area) x (corridor factor) x (slab thickness) = (1.75m x 2m) x 1.5kN/m2 = 5.25kN Total live load on from bedroom = (total bedroom area) x bedroom factor = 1.5m x 2m x 2kN/m2 = 56kN Live load from slab : (Total slab area) x 0.5kN/m2 = (4.63m x 2m) x 0.5kN/m2 = 4.63kN 4625 1500 Lead load acting on column A/6 1750 1375 2000 4625 1500 1750 1375 2000 4625 1500 1750 1375 2000 stairs corridor bedroom stairs corridor bath Live load from stairs: (stairs area) x (stairs factor) = (1.38m x 2m) x 3kN/m2 = 8.28kN Live load from corridor: (Total corridor area) x (corridor factor) x (slab thickness) = (1.75m x 2m) x 1.5kN/m2 = 5.25kN Total live load on from bedroom = (total bedroom area) x bedroom factor = 1.5m x 2m x 2kN/m2 = 56kN RYAN KERRY JEE JIN YIING 0318715
  • 29. Total dead load : 319.57kN Ultimate dead load = 319.57kN x 1.4 = 447.4kN Total live load : 55.28kN Ultimate dead load = 55.28kN x 1.6 = 88.45kN Ultimate load = ultimate dead load + ultimate live load =447.4kN + 88.45kN = 535.85kN Ultimate load on column A/6= 535.85kN RYAN KERRY JEE JIN YIING 0318715