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 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


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



Slab D-E/ 2‘-3 = 2737/ 2508

Slab E-F‘/ 2‘-3 = 2958/ 2508


Dead Load


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


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



= 1.091 (two way slab)Slab D-E/ 2‘-3 = 2737/ 2508

Slab E-F‘/ 2‘-3 = 2958/ 2508

Slab D-F‘/ 3-4 = 5696/ 5000



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


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


+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



Slab E-F‘/ 4-4‘ = 2958/ 2335

Slab E-F‘/ 4‘-5 = 2958/ 2665


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 E-F‘/ 4-4‘ = 3.6kN/m² x (2.335m/2)

Slab E-F‘/ 4‘-5 = 3.6kN/m² x (2.665m/2)



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



Slab E-F‘/ 4-4‘ = 2958/ 2335

Slab E-F‘/ 4‘-5 = 2958/ 2665



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



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


+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


Slabs = 14.724m² x 3.6kN/m² = 53.006kN

Beams = 5.445m x 1.44kN/m = 7.841kN

Column = 6.48kN


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


So, ultimate load acting on column D4 = So, ultimate load acting on column D4 = 441.287kN

Column C4


Dining Area: 2kN/m²Foyer: 1.5kN/m²Car Porch: 2kN/m²Car Porch: 2kN/m²


corridor: 3kN/m²Bedroom: 1.5kN/m²

Roof LevelSlabs: 7.885m²Roof Beams: 6.577m

Column C4Roof Level (Assume as flat roof)



Total = 37.857kN

First Floor


Slabs = 7.885m² x 3.6kN/m² = 28.386kN

Beams = 6.577m x 1.44kN/m = 9.471kN

Column = 6.48kN


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


Slabs = 22.885m² x 3.6kN/m² = 82.386kN

Beams = 9.577m x 1.44kN/m = 13.79kN

Column = 6.48kN


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





So, ultimate load acting on column C4 = So, ultimate load acting on column C4 = 501kN

Column A2


Laundry: 1.5kN/mStairs: 1.5kN/m²


Stairs: 1.5kN/m²Bedroom: 1.5kN/m²

Roof LevelSlabs: 7.147m²Roof Beams: 5.746m

Column A2Roof Level (Assume as flat roof)



Total = 34.003kN

First Floor


Slabs = 3.642m² x 3.6kN/m² = 13.111kN

Beams = 5.746m x 1.44kN/m = 8.274kN

Column = 6.48kN


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


Slabs = 10.04m² x 3.6kN/m² = 36.144kN

Beams = 6.483m x 1.44kN/m = 9.336kN

Column = 6.48kN


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





So, ultimate load acting on column C4 = So, ultimate load acting on column C4 = 316.107kN

BUILDING STRUCTURE PROJECT 2 (INDIVIDUAL)

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