Architecture case study India Habitat Centre, Delhi.pdf
Individual Caluculation
1. Analysis of Beams
Identify One Way or Two Way Slab
Ly = Longer side of slab
Lx - shorter side of slab
Slab A-B/2-6:
3.5 ÷ 3.6 = 0.97 ≤ 2, Two way slab
Slab A-B/6-8:
3.5 ÷ 2.7 = 1.3 ≤ 2, Two way slab
Slab B-H/2-6:
6.9 ÷ 3.6 = 1.92 ≤ 2, Two way slab
Slab B-h/6-8:
6.9 ÷ 2.7 = 2.56 ≥ 2, One way slab
SECOND FLOOR
B
F
1
2
5
7
10
CA E H
3
4
6
8
9
11
14
13
D
12
G
AV ROOM
MASTER
FAMILY / STUDY
MASTER SUITEBATH
ROOF TERRACE
PRODUCED BY AN AUTODESK EDUCATIONAL PRODUCT
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
PENGE YEP SIANG 0315259
2. Beam A-B/6
Dead Load
Dead load from slab A-B/2-6
= 4.2 kN / m² × (3.5/2)
= 7.35 kN/m
Convert triangular load to UDL
7.35× ⅔ = 4.9 kN/m
Dead load from slab A-B/6-8
= 4.2 kN / m² × (2.7/2)
= 5.67kN/m
Total dead load A/2-8
= 8.84 + 1.44 + 4.9+5.67
= 20.85 kN/m
SECOND FLOOR
1
2
5
7
10
3
4
6
8
9
11
14
13
12
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
2
A B H
6
8
20.85kN/m
8.84kN/m
A6 B6
Brick Wall
Beam Self-weight
Slab A-B/2-6
Slab A-B/6-8
Total Dead Load
1.44kN/m
4.9kN/m
5.67kN/m
3. Live Load
Live load from slab A-B/2-6
= 2.0 kN / m² × (3.5/2)
= 3.5 kN/m
Convert triangular load to UDL
3.5 × ⅔ = 2.33 kN/m
Live load from slab A-B/6-8
= 2.0 kN / m² × (2.7/2)
= 2.7 kN/m
Total live load A-B/6
= 2.33 + 2.7
= 5.03 kN/m
Ultimate Load
Dead load factor = 1.4
Live load factor = 1.6
Ultimate load A-B/6
= (20.85 × 1.4) + (5.03 × 1.6)
= 29.19 + 8.05
= 37.24 kN/m
Reaction
Convert UDL to Point load
37.24 ×3.5 = 130.34kN
Reaction force = ½ Total Load
130.34 ÷ 2 = 65.17kN
Bending Moment
At point A6, there is no area = 0kN
At point B6,
area of triangle (+ve) + area of
triangle (-ve)
= ½(65.17 × 3.5/2) + ½(-65.17 × 3.5/2)
= 57.03 - 57.03
= 0
5.03kN/m
A6
A6
A6
+
+
-
B6
B6
B6
Slab A-B/2-6
Ultimate Load
Slab A-B/6-8
Total Live Load
2.7kN/m
2.33kN/m
37.24kN/m
37.24kN/m
65.17kN
0kN
0kN
65.17kN
-65.17kN
57.03
0kN
0kN
65.17kN
3.5m
4. Beam A/2-8
Dead Load
Dead load from slab A-B/2-6
= 4.2 kN / m² × (3.5/2)
= 7.35kN/m
Dead load from slab A-B/6-8
= 4.2 kN / m² × (2.7/2)
= 5.67 kN/m
Convert triangular load to UDL
5.67 × ⅔ = 3.78 kN/m
Total dead load A/2-6
= 8.84 + 1.44 + 7.35
= 17.63 kN/m
Total deal load A/6-8
= 8.84 + 1.44 + 3.78
= 14.06 kN/m
SECOND FLOOR
1
2
5
7
10
3
4
6
8
9
11
14
13
12
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
PRODUCEDBYANAUTODESKEDUCATIONALPRODUCT
2
A B H
6
8
14.06kN/m17.63kN/m
8.84kN/m
A2 A6 A8
Brick Wall
Beam Self-weight
Slab A-B/2-6
Slab A-B/6-8
Total Dead Load
1.44kN/m
7.35kN/m
3.78kN/m
5. Live Load
Live load from slab A-B/2-6
= 2.0 kN / m² × (3.5/2)
= 3.5 kN/m
Live load from slab A-B/6-8
= 2.0 kN / m² × (2.7/2)
= 2.7 kN/m
Convert triangular load to UDL
2.7 × ⅔ = 1.8 kN/m
Total live load A/2-6
= 3.5 kN/m
Total live load A/6-8
= 1.8 kN/m
Ultimate Load
Dead load factor = 1.4
Live load factor = 1.6
Ultimate load A/2-6
= (17.63 × 1.4) + (3.5 × 1.6)
= 30.28 kN/m
Ultimate load A/6-8
= (14.06 × 1.4) + (1.8 × 1.6)
= 22.56 kN/m
1.8kN/m
22.56kN/m
3.5kN/m
30.28kN/m
A2
A2
A6
A6
A8
A8
Slab A-B/2-6
Slab A-B/6-8
Total Live Load
Total Live Load
3.5kN/m
1.8kN/m
6. Reaction
Convert UDL to Point load
30.28 × 3.6 = 109.0 kN
22.56 × 2.7 = 60.91 kN
∑M = 0
= RA2
(6.3) - 109(4.5) - 65.17(2.7) -
22.56(1.35)
= 6.3 RA2
- 490.5 - 175.96 - 30.46
= 6.3 RA2
- 696.92
RA2
= 696.92 ÷ 6.3
= 110.62 kN
∑Fy
= RA8
+ 110.62 - 109 - 65.17 - 60.91
= RA8
- 124.46
RA8
= 124.46 kN
22.56kN
65.17kN
3.6m 2.7m
30.28kN/m
110.62kN
110.62kN
124.46kN
-124.46kN
-63.55kN
202.03
1.62kN
A2
+
+
-
A6 A8
Bending Moment
At point A2, there is no area = 0kN
At point A6,
area of trapezium
= ½ × (110.62 + 1.62) × 3.6
= 202.03
At point A8
area of trapezium (+ve) + area of
trapezium (-ve)
= 202.03 + ½(-63.55-124.46)(2.7)
= 202.03 - 202.03
= 0
0kN
0kN
0kN
0kN