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A square footing of side 4m is designed to support a square column of 400 mm size. The effective depth of footing is 500 mm. The safe bearing capacity below the footing is 1.5 MPa. The design bending moment for the footing is________
- a)7920 KN-m
- b)900 KN-m
- c)9720 KN-m
- d)972 KN-m
Correct answer is option 'C'. Can you explain this answer?
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A square footing of side 4m is designed to support a square column of ...
The critical section for bending moment is the face of the column:-
Po = Net upward pressure = 1.5 N/mm2
Most Upvoted Answer
A square footing of side 4m is designed to support a square column of ...
The design bending moment for the footing can be calculated using the following formula:
M = Q × e
Where:
M = Design bending moment
Q = Load on the footing
e = Lever arm or eccentricity
1. Calculation of Load on the Footing:
The load on the footing can be determined by calculating the total weight of the column and the footing itself.
Weight of the column = Area × Density
Area = Side × Side = 0.4 m × 0.4 m = 0.16 m²
Density of column = 25 kN/m³ (Assuming)
Weight of the column = 0.16 m² × 25 kN/m³ = 4 kN
Weight of the footing = Area × Density
Area = Side × Side = 4 m × 4 m = 16 m²
Density of footing = 25 kN/m³ (Assuming)
Weight of the footing = 16 m² × 25 kN/m³ = 400 kN
Total load on the footing = Weight of the column + Weight of the footing = 4 kN + 400 kN = 404 kN
2. Calculation of Lever Arm or Eccentricity:
The lever arm or eccentricity can be calculated as the difference between the centroid of the column and the centroid of the footing.
Centroid of the column = Side/2 = 0.4 m/2 = 0.2 m
Centroid of the footing = Side/2 = 4 m/2 = 2 m
Eccentricity = Centroid of the column - Centroid of the footing = 0.2 m - 2 m = -1.8 m
Note: The negative sign indicates that the column is offset from the center of the footing.
3. Calculation of Design Bending Moment:
M = Q × e
M = 404 kN × (-1.8 m)
M = -727.2 kN-m
The design bending moment for the footing is -727.2 kN-m.
M = Q × e
Where:
M = Design bending moment
Q = Load on the footing
e = Lever arm or eccentricity
1. Calculation of Load on the Footing:
The load on the footing can be determined by calculating the total weight of the column and the footing itself.
Weight of the column = Area × Density
Area = Side × Side = 0.4 m × 0.4 m = 0.16 m²
Density of column = 25 kN/m³ (Assuming)
Weight of the column = 0.16 m² × 25 kN/m³ = 4 kN
Weight of the footing = Area × Density
Area = Side × Side = 4 m × 4 m = 16 m²
Density of footing = 25 kN/m³ (Assuming)
Weight of the footing = 16 m² × 25 kN/m³ = 400 kN
Total load on the footing = Weight of the column + Weight of the footing = 4 kN + 400 kN = 404 kN
2. Calculation of Lever Arm or Eccentricity:
The lever arm or eccentricity can be calculated as the difference between the centroid of the column and the centroid of the footing.
Centroid of the column = Side/2 = 0.4 m/2 = 0.2 m
Centroid of the footing = Side/2 = 4 m/2 = 2 m
Eccentricity = Centroid of the column - Centroid of the footing = 0.2 m - 2 m = -1.8 m
Note: The negative sign indicates that the column is offset from the center of the footing.
3. Calculation of Design Bending Moment:
M = Q × e
M = 404 kN × (-1.8 m)
M = -727.2 kN-m
The design bending moment for the footing is -727.2 kN-m.
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A square footing of side 4m is designed to support a square column of 400 mm size. The effective depth of footing is 500 mm. The safe bearing capacity below the footing is 1.5 MPa. The design bending moment for the footing is________a)7920 KN-mb)900 KN-mc)9720 KN-md)972 KN-mCorrect answer is option 'C'. Can you explain this answer?
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A square footing of side 4m is designed to support a square column of 400 mm size. The effective depth of footing is 500 mm. The safe bearing capacity below the footing is 1.5 MPa. The design bending moment for the footing is________a)7920 KN-mb)900 KN-mc)9720 KN-md)972 KN-mCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A square footing of side 4m is designed to support a square column of 400 mm size. The effective depth of footing is 500 mm. The safe bearing capacity below the footing is 1.5 MPa. The design bending moment for the footing is________a)7920 KN-mb)900 KN-mc)9720 KN-md)972 KN-mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square footing of side 4m is designed to support a square column of 400 mm size. The effective depth of footing is 500 mm. The safe bearing capacity below the footing is 1.5 MPa. The design bending moment for the footing is________a)7920 KN-mb)900 KN-mc)9720 KN-md)972 KN-mCorrect answer is option 'C'. Can you explain this answer?.
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