BUILDING STRUCTURE PROJECT 2 (INDIVIDUAL)
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Transcript of BUILDING STRUCTURE PROJECT 2 (INDIVIDUAL)
1.Ground floor beam (D/2-3) secondary beam
Slab B-D / 2-3
Brick Wall Weight
Beam Self Weight
Total Dead Load
Total Live Load
4.62 kN/m
8.55 kN/m
1.08 kN/m
14.25 kN/m
3.85 kN/m
26.11kN/m
50.26kN 50.26kN
= 1.432 (two way slab)Slab B-D/ 2-3 = 5513/ 3850
Concrete Density = 24kN/m³ Brick Density = 19kN/m³
Dead Load
Slab self-weight = 0.15m x 24kN/m³
Slab B-D / 2-3 = 3.6kN/m² x (3.85m/2) x ⅔
Brick Wall Weight = 0.15m x 3m x 19kN/m³
Beam Self Weight = 0.15m x 0.3m x 24kN/m³
Total Dead Load = 4.62 + 8.55 +1.08 Total Dead Load = 4.62 + 8.55 +1.08 = 14.25kN/m
= 4.62kN/m
= 8.55kN/m
= 1.08kN/m
= 3.6kN/m²
Live Load
Corridor Slab B-D / 2-3 = 3kN/m² x (3.85m/2) x ⅔ = 3.85kN/m
Ultimate Load
Ultimate dead load 2-3 = 14.25kN/m x 1.4
Ultimate live load 2-3 = 3.85kN/m x 1.6
Total ultimate load = 19.95kN/m + 6.16kN/m
= 6.16kN/m
= 26.11kN/m
= 19.95kN/m
Reaction Force
(26.11kN/m x 3.85m)/ 2 = 50.26kN
2.Ground floor beam (B‘-D‘/2) primary beam
= 1.432 (two way slab)
= 2.289 (one way slab)
= 1.213Slab B‘-D‘/ 1-2 = 4850/ 4000
Slab B-D/ 2-3 = 5513/ 3850
Slab D-G/ 2-3 = 8812/ 3850
Concrete Density = 24kN/m³ Brick Density = 19kN/m³ Dead Load
Slab self-weight = 0.15m x 24kN/m³
Slab B‘-D‘ / 1-2 = 3.6kN/m² x (4m/2)
Slab B-D / 2-3 = 3.6kN/m² x (3.85m/2)
Slab D-G / 2-3 = 3.6kN/m² x (3.85m/2)
Brick Wall Weight = 0.15m x 3m x 19kN/m³ Brick Wall Weight = 0.15m x 3m x 19kN/m³
Beam Self Weight = 0.2m x 0.3m x 24kN/m³
Total Dead Load for B‘-D‘ / 1-2 = 7.2 + 8.55 + 1.44
Total Dead Load for B-D / 2-3 = 6.93 + 8.55 +1.44
Total Dead Load for D-G / 2-3 = 6.93 + 8.55 +1.44
= 7.2kN/m
= 6.93kN/m
= 6.93kN/m
= 1.08kN/m
= 1.44kN/m
= 17.19kN/m
= 16.92kN/m
= 16.92kN/m
= 3.6kN/m²
Live Load
Guest Room Slab B‘-D‘ / 1-2 = 1.5kN/m² x (4m/2)
Corridor Slab B-D / 2-3 = 3kN/m² x (3.85m/2)
Corridor Slab D-G / 2-3 = 3kN/m² x (3.85m/2)
= 5.775kN/m
= 5.775kN/m
= 3kN/m
Slab B‘-D‘/1-2
Slab B-D/2-3
Slab D-G/2-3
Brick Wall Weight
Beam Self Weight
Total Dead LoadB‘-D‘/1-2
Total Dead LoadB-D/2-3
Total Dead LoadD-G/2-3
Slab B‘-D‘/1-2
Slab B-D/2-3
Slab D-G/2-3
7.2kN/m
6.93kN/m
6.93kN/m
1.08kN/m
1.44kN/m
17.19kN/m
16.92kN/m
16.92kN/m
3kN/m
5.775kN/m
5.775kN/m
Ultimate Load
Dead LoadUltimate dead load B‘-D‘ / 1-2 = 17.19kN/m x 1.4
Ultimate dead load B-D / 2-3 = 16.92kN/m x 1.4
Ultimate dead load D-G / 2-3 = 16.92kN/m x 1.4
Live LoadUltimate live load B‘-D‘ / 1-2 = 3kN/m x 1.6Ultimate live load B‘-D‘ / 1-2 = 3kN/m x 1.6
Ultimate live load B-D / 2-3 = 5.775kN/m x 1.6
Ultimate live load D-G / 2-3 = 5.775kN/m x 1.6
Total Ultimate LoadTotal ultimate load B‘-D‘ / 1-2 = 24.066kN/m + 4.8kN/m
Total ultimate load B-D / 2-3 = 23.688kN/m + 9.24kN/m
Total ultimate load D-G / 2-3 = 23.688kN/m + 9.24kN/m
= 23.688kN/m
= 23.688kN/m
= 4.8kN/m
= 9.24kN/m
= 9.24kN/m
= 28.866kN/m
= 32.928kN/m
= 32.928kN/m
= 24.066kN/m
Reaction Force
∑m=0RD‘y(4.849) - 50.262(4.037) - 61.794(4.0317)(2.019) - 61.794(0.812)(4.443) = 0RD‘y = 191.651kN
∑fy=0RB‘y + 191.651 - 50.262 - 61.794(4.037) - 61.794(0.812) = 0RB‘y = RB‘y = 157.818kN
Shear Force Diagram
157.818 - 249.03 = - 91.212-91.212 + (-50.262) = -141.474-141.474 + (-50.177) = -191.651-191.651 + 191.651 = 0
61.794kN
157.818kN 191.651kN
61.794kN
V157.818
-91.212
-141.474
-191.651
0
Bending Moment Diagram
+ve area= (2.559 x 157.818) / 2= 201.928 ≈ 202
-ve area= ½ (191.651 + 141.474) x 0.812 + ½ (91.212 x 1.479) = ½ (191.651 + 141.474) x 0.812 + ½ (91.212 x 1.479) = 201.701≈ 202
202
202-202=0
3. First floor beam (E/2‘-3) secondary beam
= 1.091 (two way slab)
= 1.179 (two way slab)
Slab D-E/ 2‘-3 = 2737/ 2508
Slab E-F‘/ 2‘-3 = 2958/ 2508
Concrete Density = 24kN/m³ Brick Density = 19kN/m³
Dead Load
Slab self-weight = 0.15m x 24kN/m³
Slab D-E / 2‘-3 = 3.6kN/m² x (2.508m/2) x ⅔
Slab E-F‘ / 2‘-3 = 3.6kN/m² x (2.508m/2) x ⅔
Brick Wall Weight = 0.15m x 3m x 19kN/m³
Beam Self Weight = 0.15m x 0.3m x 24kN/m³Beam Self Weight = 0.15m x 0.3m x 24kN/m³
Total Dead Load = 3.01 + 3.01 + 8.55 +1.08 = 15.65kN/m
= 3.01kN/m
= 3.01kN/m
= 8.55kN/m
= 1.08kN/m
= 3.6kN/m²
Live Load
Corridor Slab D-E / 2‘-3 = 3kN/m² x (2.508m/2) x ⅔
Washroom Slab E-F‘ / 2‘-3 = 2kN/m² x (2.508m/2) x ⅔
Total Live Load = 2.508kN/m + 1.672kN/m = 4.18 kN/m
= 2.508kN/m
= 1.672kN/m
Ultimate Load
Ultimate dead load D-E = 15.65kN/m x 1.4
Ultimate live load E-F‘ = 4.18kN/m x 1.6
Total ultimate load = 21.91kN/m + 6.688kN/m
= 6.688kN/m
= 28.6kN/m
= 21.91kN/m
Reaction Force
(28.6kN/m x 2.508m)/ 2 = 35.862kN
Slab D-E / 2‘-3
Slab E-F‘ / 2‘-3
Brick Wall Weight
Beam Self Weight
Total Dead Load
Slab D-E / 2‘-3
Slab E-F‘ / 2‘-3
Total Live Load
3.01kN/m
3.01kN/m
8.55kN/m
1.08kN/m
15.65kN/m
2.508kN/m
1.672kN/m
4.18kN/m
35.862kN 35.862kN
28.6kN
4. First floor beam (D-F‘/3) primary beam
= 1.179 (two way slab)
= 1.139 (two way slab)
= 1.091 (two way slab)Slab D-E/ 2‘-3 = 2737/ 2508
Slab E-F‘/ 2‘-3 = 2958/ 2508
Slab D-F‘/ 3-4 = 5696/ 5000
Concrete Density = 24kN/m³ Brick Density = 19kN/m³ Dead Load
Slab self-weight = 0.15m x 24kN/m³
Slab D-E / 2‘-3 = 3.6kN/m² x (2.308m/2)
Slab E-F‘ / 2-3 = 3.6kN/m² x (2.308m/2)
Slab D-F‘ / 3-4 = 3.6kN/m² x (5m/2)
Brick Wall Weight = 0.15m x 3m x 19kN/m³ Brick Wall Weight = 0.15m x 3m x 19kN/m³
Beam Self Weight = 0.2m x 0.3m x 24kN/m³
Total Dead Load for D-E / 2‘-3 = 4.514 + 8.55 + 1.44
Total Dead Load for E-F‘ / 2-3 = 4.514+ 8.55 +1.44
Total Dead Load for D-F‘ / 3-4 = 9 + 8.55 +1.44
= 4.514kN/m
= 4.514kN/m
= 9kN/m
=8.55kN/m
= 1.44kN/m
= 14.504kN/m
= 14.504kN/m
= 18.99kN/m
= 3.6kN/m²
Live Load
Corridor Slab D-E / 2‘-3 = 3kN/m² x (2.508m/2)
Washroom Slab E-F‘ / 2-3 = 2kN/m² x (2.508m/2)
Bedroom Slab D-F‘ / 3-4 = 1.5kN/m² x (5m/2)
= 2.508kN/m
= 3.75kN/m
= 3.762kN/m
Slab D-E/2‘-3
Slab E-F‘/2-3
Slab D-F‘/3-4
Slab D-E/2‘-3
Slab E-F‘/2-3
Slab D-F‘/3-4
4.514kN/m
4.514kN/m
Brick Wall Weight
Beam Self Weight
Total Dead LoadD-E/2‘-3
Total Dead LoadE-F‘/2-3
Total Dead LoadD-F‘/3-4
9kN/m
8.55kN/m
1.44kN/m
14.504kN/m
14.504kN/m
18.99kN/m
3.762kN/m
2.508kN/m
3.75kN/m
Dead LoadUltimate dead load D-E / 2‘-3 = 14.504kN/m x 1.4
Ultimate dead load E-F‘ / 2-3 = 14.504kN/m x 1.4
Ultimate dead load D-F‘ / 3-4 = 14.504kN/m x 1.4
Live LoadUltimate live load D-E / 2‘-3 = 3.762kN/m x 1.6
Ultimate live load E-F‘ / 2-3 = 2.508kN/mUltimate live load E-F‘ / 2-3 = 2.508kN/m x 1.6
Ultimate live load D-F‘ / 3-4 = 3.75kN/m x 1.6
Total Ultimate LoadTotal ultimate load D-E / 2‘-3 = 20.306kN/m + 6.02kN/m
Total ultimate load E-F‘ / 2-3 = 20.306kN/m + 4.013kN/m
Total ultimate load D-F‘ / 3-4 = 26.586kN/m + 6kN/m
Ultimate Load
= 20.306kN/m
= 26.586kN/m
= 26.326kN/m
= 6.02kN/m
= 4.013kN/m
= 6kN/m
= 32.586kN/m
= 24.319kN/m
= 20.306kN/m
Reaction Force
∑m=0RDy(56.96) - 35.862(2.958) - 58.912(2.737)(4.327) - 56.905(2.958)(1.479) = 0RDy = 184.819kN
∑fy=0RF‘y + 184.819 - 35.862- 58.912(2.737) - 56.905(2.958) = 0RF‘y = RF‘y = 180.61kN 58.912kN/m
35.862kN/m
56.905kN/m
184.819kN/m 180.61kN/mShear Force Diagram
184.819 - 161.242 = 23.57723.577+ (-35.862) = -12.285-12.285+ (-168.325) = -180.61-180.61 + 180.61= 0
V
184.819
23.577
-12.285
-180.61
0
Bending Moment Diagram
+ve area= ½ (184.819 + 23.577) x 2.737= 285.189 ≈ 285
-ve area= ½ (180.610 + 12.285) x 2.958 = ½ (180.610 + 12.285) x 2.958 = 285.292≈ 285
B
285
285 - 285 = 0
5. First floor beam (E/F‘-4) secondary beam
= 1.267 (two way slab)
= 1.110 (two way slab)
Slab E-F‘/ 4-4‘ = 2958/ 2335
Slab E-F‘/ 4‘-5 = 2958/ 2665
Concrete Density = 24kN/m³ Brick Density = 19kN/m³
Slab E-F‘/ 4-4‘
Slab E-F‘/4‘-5
Brick Wall Weight
Beam Self Weight
Total Dead Load
Slab E-F‘/ 4-4‘
Slab E-F‘/ 4‘-5
Total Dead Load
4.203kN/m
4.797kN/m
8.55kN/m
1.08kN/m
18.63kN/m
2.335kN/m
2.665kN/m
5kN/m
Dead Load
Slab self-weight = 0.15m x 24kN/m³
Slab E-F‘/ 4-4‘ = 3.6kN/m² x (2.335m/2)
Slab E-F‘/ 4‘-5 = 3.6kN/m² x (2.665m/2)
Brick Wall Weight = 0.15m x 3m x 19kN/m³
Beam Self Weight = 0.15m x 0.3m x 24kN/m³Beam Self Weight = 0.15m x 0.3m x 24kN/m³
Total Dead Load = 4.203 + 4.797 + 8.55 +1.08 = 18.63kN/m
= 4.203kN/m
= 4.797kN/m
= 8.55kN/m
= 1.08kN/m
= 3.6kN/m²
Live Load
Washroom Slab E-F‘/ 4-4‘ = 2kN/m² x (2.335m/2)
Dressing Room Slab E-F‘/ 4‘-5 = 2kN/m² x (2.665m/2)
Total Live Load = 2.335kN/m + 2.665kN/m = 5kN/m
= 2.335kN/m
= 2.665kN/m
Ultimate Load
Ultimate dead load = 18.63kN/m x 1.4
Ultimate live load E-F‘ = 5kN/m x 1.6
Total ultimate load = 26.082kN/m + 8kN/m
= 8kN/m
= 34.082kN/m
= 26.082kN/m
Reaction Force
(24.082kN/m x 2.958m)/ 2 = 35.617kN
35.617kN 35.617kN
24.082kN
6. First floor beam (F‘/4-5) primary beam
= 1.267 (two way slab)
= 1.110 (two way slab)
Slab E-F‘/ 4-4‘ = 2958/ 2335
Slab E-F‘/ 4‘-5 = 2958/ 2665
Concrete Density = 24kN/m³ Brick Density = 19kN/m³ Dead Load
Slab self-weight = 0.15m x 24kN/m³
Slab E-F‘/ 4-4‘ = 3.6kN/m² x (2.335m/2) x ⅔
Slab E-F‘/ 4‘-5 = 3.6kN/m² x (2.665m/2) x ⅔
Brick Wall Weight = 0.15m x 3m x 19kN/m³
Beam Self Weight = 0.2m x 0.3m x 24kN/m³Beam Self Weight = 0.2m x 0.3m x 24kN/m³
Total Dead Load for E-F‘/ 4-4‘ = 2.802 + 8.55 + 1.44
Total Dead Load for E-F‘/ 4‘-5 = 3.198+ 8.55 +1.44
= 2.802kN/m
= 3.198kN/m
= 8.55kN/m
= 1.44kN/m
= 12.792kN/m
= 13.188kN/m
= 3.6kN/m²
Live Load
Washroom Slab E-F‘/ 4-4‘ = 2kN/m² x (2.332m/2) x ⅔
Dressing Room Slab E-F‘/ 4‘-5 = 2kN/m² x (2.665m/2) x ⅔= 1.777kN/m
= 1.555kN/m
Ultimate Load
Dead LoadUltimate dead load E-F‘/ 4-4‘ = 12.792kN/m x 1.4
Ultimate dead load E-F‘/ 4‘-5 = 13.188kN/m x 1.4= 18.463kN/m
= 17.909kN/m
2.802kN/m
3.198kN/m
8.55kN/m
1.44kN/m
12.792kN/m
13.188kN/m
1.555kN/m
1.777kN/m
Slab E-F‘/4-4‘
Slab E-F‘/4‘-5
Slab E-F‘/4-4‘
Slab E-F‘/4‘-5
Brick Wall Weight
Beam Self Weight
Total Dead LoadE-F‘/4-4‘
Total Dead LoadE-F‘/4‘-5
Live LoadUltimate live load E-F‘/ 4-4‘ = 1.555kN/m x 1.6
Ultimate live load E-F‘/ 4‘-5 = 1.777kN/m x 1.6
Total Ultimate LoadTotal ultimate load E-F‘/ 4-4‘ = 17.909kN/m + 2.488kN/m
Total ultimate load E-F‘/ 4‘-5 = 18.463kN/m + 2.843kN/m
= 2.843kN/m
= 20.397kN/m
= 21.306kN/m
= 2.488kN/m
Reaction Force
∑m=0R5y(5) - 35.617(2.665) - 21.306(2.665)(1.333) - 20.397(2.335)(3.831) = 0R5y = 70.566kN
∑fy=0R4y + 70.566 - 35.617 - 20.397(2.335) - 21.306(2.665) = 0R4y = R4y = 69.397kN
Shear Force Diagram
70.566 - 56.780 = 13.78613.786 + (-35.617) = -21.831-21.831+ (-47.566) = -69.397-69.397 + 69.397 = 0
Bending Moment Diagram
+ve area= ½ (69.397 + 12.617) x 2.665= 109.284 ≈ 109
-ve area= ½ (23 + 40.566) x 2.332= ½ (23 + 40.566) x 2.332= 109.098≈ 109
69.397kN70.566kN
35.671kN
21.306kN 20.397kN
109
109 - 109 = 0
v
B
70.566
-21.831
-69.397
0
13.786
Column D4
Ground FloorWalls: 1.368mSlabs: 14.724m²Beams: 5.445m
Foyer: 1.5kN/mDining Area: 2kN/m²Living Room: 2kN/m²Living Room: 2kN/m²
First FloorWalls: 5.445mSlabs: 14.724m²Beams: 5.445m
Corridor: 3kN/m²Bedrom: 1.5kN/m²Master Bedroom: 1.5kN/m²Master Bedroom: 1.5kN/m²
Column D4Roof Level (Assume as flat roof)
Dead LoadSlab = 14.724m² x 3.6kN/m² = 53.006kN
Roof Beam = 5.445m x 1.44kN/m = 7.841kN
Total = 60.847kN
First Floor
Dead LoadWalls = 5.445m x 8.55 kN/m = 46.555kN
Slabs = 14.724m² x 3.6kN/m² = 53.006kN
Beams = 5.445m x 1.44kN/m = 7.841kN
Column = 6.48kN
Total = Total = 113.882kN
Live LoadCorridor = (1.577m x 2.6m) x 3kN/m² = 11.828kN
Bedroom = (2.5m x 1.368m) x 1.5kN/m² = 5.13kN
Master Bedroom = (2.5m x 2.945m) x 1.5kN/m² = 11.044kN
Total = 28.002kN
Ground Floor
Dead LoadWalls = 1.368m x 8.55 kN/m = 11.696kN
Slabs = 14.724m² x 3.6kN/m² = 53.006kN
Beams = 5.445m x 1.44kN/m = 7.841kN
Column = 6.48kN
Total = Total = 79.023kN
Live LoadFoyer = (2.5m x 2.945m) x 1.5kN/m² = 11.044kN
Dining Area = (2.5m x 1.577m) x 2kN/m² = 7.885kN
Living Room = (2.5m x 1.368m) x 2kN/m² = 6.84kN
Total = 25.769kN
Dead LoadTotal Dead Load = 253.752kN
Apply 1.4 factor = 355.253kN
Live LoadTotal Live Load = 53.771kN
Apply 1.6 factor = 86.034kN
So, ultimate load acting on column D4 = So, ultimate load acting on column D4 = 441.287kN
Column C4
Ground FloorWalls: 5.5mSlabs: 22.885m²Beams: 9.577m
Dining Area: 2kN/m²Foyer: 1.5kN/m²Car Porch: 2kN/m²Car Porch: 2kN/m²
First FloorWalls: 6.577mSlabs: 7.885m²Beams: 6.577m
corridor: 3kN/m²Bedroom: 1.5kN/m²
Roof LevelSlabs: 7.885m²Roof Beams: 6.577m
Column C4Roof Level (Assume as flat roof)
Dead LoadSlab = 7.885m² x 3.6kN/m² = 28.386kN
Roof Beam = 6.577m x 1.44kN/m = 9.471kN
Total = 37.857kN
First Floor
Dead LoadWalls = 6.577m x 8.55 kN/m = 56.233kN
Slabs = 7.885m² x 3.6kN/m² = 28.386kN
Beams = 6.577m x 1.44kN/m = 9.471kN
Column = 6.48kN
Total = Total = 100.57kN
Live LoadCorridor = (1.577m x 2.5m) x 3kN/m² = 11.828kN
Bedroom = (2.5m x 1.577m) x 1.5kN/m² = 5.914kN
Total = 17.742kN
Ground Floor
Dead LoadWalls = 5.5m x 8.55 kN/m = 47.025kN
Slabs = 22.885m² x 3.6kN/m² = 82.386kN
Beams = 9.577m x 1.44kN/m = 13.79kN
Column = 6.48kN
Total = Total = 149.081kN
Live LoadFoyer = (1.577m x 2.5m) x 1.5kN/m² = 5.914kN
Dining Area = (4.577m x 2.5m) x 2kN/m² = 22.885kN
Car Porch = (2.5m x 3m) x 2kN/m² = 15kN
Total = 43.799kN
Dead LoadTotal Dead Load = 287.524kN
Apply 1.4 factor = 402.534kN
Live LoadTotal Live Load = 61.541kN
Apply 1.6 factor = 98.466kN
So, ultimate load acting on column C4 = So, ultimate load acting on column C4 = 501kN
Column A2
Ground FloorWalls: 4.483mSlabs: 10.04m²Beams: 6.483m
Laundry: 1.5kN/mStairs: 1.5kN/m²
First FloorWalls: 5.746mSlabs: 3.642m²Beams: 5.746m
Stairs: 1.5kN/m²Bedroom: 1.5kN/m²
Roof LevelSlabs: 7.147m²Roof Beams: 5.746m
Column A2Roof Level (Assume as flat roof)
Dead LoadSlab = 7.147m² x 3.6kN/m² = 25.729kN
Roof Beam = 5.746m x 1.44kN/m = 8.274kN
Total = 34.003kN
First Floor
Dead LoadWalls = 5.746m x 8.55 kN/m = 49.128kN
Slabs = 3.642m² x 3.6kN/m² = 13.111kN
Beams = 5.746m x 1.44kN/m = 8.274kN
Column = 6.48kN
Total = Total = 76.993kN
Live LoadBedroom = (2m x 1.821m) x 1.5kN/m² = 5.463kN
Stairs = (1.821m x 1.925m) x 1.5kN/m² = 5.258kN
Total = 10.721kN
Ground Floor
Dead LoadWalls = 4.483m x 8.55 kN/m = 38.33kN
Slabs = 10.04m² x 3.6kN/m² = 36.144kN
Beams = 6.483m x 1.44kN/m = 9.336kN
Column = 6.48kN
Total = Total = 90.29kN
Live LoadLaundry = (2m x 1.821m) x 1.5kN/m² = 5.463kN
Stairs = (1.821m x 1.925m) x 1.5kN/m² = 5.258kN
Total = 10.721kN
Dead LoadTotal Dead Load = 201.286kN
Apply 1.4 factor = 281.8kN
Live LoadTotal Live Load = 21.442kN
Apply 1.6 factor = 34.307kN
So, ultimate load acting on column C4 = So, ultimate load acting on column C4 = 316.107kN