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For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?
A) 1.44pq
B) 1.3125pq
C) 0.9225 pq
D)1.5225 pq?
A) 1.44pq
B) 1.3125pq
C) 0.9225 pq
D)1.5225 pq?
Most Upvoted Answer
For a circular column of 200mm radius , a circular footing of radius 1...
Solution:
Given data:
Radius of circular column (r) = 200 mm
Radius of circular footing (R) = 1.25 m = 1250 mm
Depth of footing (d) = 600 mm
Factored earth pressure (q) = Given
Design two-way shear = ?
Area of circular column = πr2
= 3.14 × 0.2 × 0.2
= 0.1256 m2
Area of circular footing = πR2
= 3.14 × 1.25 × 1.25
= 4.91 m2
Area of projection of column on footing = πr2
= 3.14 × 0.2 × 0.2
= 0.1256 m2
Area of footing outside the projection of column = π(R2 - r2)
= π(1.252 - 0.22)
= 19.405 m2
Total area of footing (A) = Area of projection of column on footing + Area of footing outside the projection of column
= 0.1256 + 19.405
= 19.5316 m2
Perimeter of column section = 2πr
= 2 × 3.14 × 0.2
= 1.2568 m
Design two-way shear force on footing = q × A
= q × 19.5316
Design two-way shear stress on footing = Design two-way shear force / Perimeter of column section × Depth of footing
= (q × 19.5316) / (1.2568 × 0.6)
= 1.3125q
Therefore, the design two-way shear will be 1.3125pq (Option B).
Given data:
Radius of circular column (r) = 200 mm
Radius of circular footing (R) = 1.25 m = 1250 mm
Depth of footing (d) = 600 mm
Factored earth pressure (q) = Given
Design two-way shear = ?
Area of circular column = πr2
= 3.14 × 0.2 × 0.2
= 0.1256 m2
Area of circular footing = πR2
= 3.14 × 1.25 × 1.25
= 4.91 m2
Area of projection of column on footing = πr2
= 3.14 × 0.2 × 0.2
= 0.1256 m2
Area of footing outside the projection of column = π(R2 - r2)
= π(1.252 - 0.22)
= 19.405 m2
Total area of footing (A) = Area of projection of column on footing + Area of footing outside the projection of column
= 0.1256 + 19.405
= 19.5316 m2
Perimeter of column section = 2πr
= 2 × 3.14 × 0.2
= 1.2568 m
Design two-way shear force on footing = q × A
= q × 19.5316
Design two-way shear stress on footing = Design two-way shear force / Perimeter of column section × Depth of footing
= (q × 19.5316) / (1.2568 × 0.6)
= 1.3125q
Therefore, the design two-way shear will be 1.3125pq (Option B).
Community Answer
For a circular column of 200mm radius , a circular footing of radius 1...
0.9225
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For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?A) 1.44pqB) 1.3125pqC) 0.9225 pqD)1.5225 pq?
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For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?A) 1.44pqB) 1.3125pqC) 0.9225 pqD)1.5225 pq? 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 For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?A) 1.44pqB) 1.3125pqC) 0.9225 pqD)1.5225 pq? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?A) 1.44pqB) 1.3125pqC) 0.9225 pqD)1.5225 pq?.
For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?A) 1.44pqB) 1.3125pqC) 0.9225 pqD)1.5225 pq? 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 For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?A) 1.44pqB) 1.3125pqC) 0.9225 pqD)1.5225 pq? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a circular column of 200mm radius , a circular footing of radius 1.25m is provided.if the depth of footing is 600mm and factored earth pressure is q, the design two way shear will be?A) 1.44pqB) 1.3125pqC) 0.9225 pqD)1.5225 pq?.
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