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Shape factor for a circular section is equal to :
- a)1.00
- b)1.50
- c)2.34
- d)1.70
Correct answer is option 'D'. Can you explain this answer?
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Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1...
Shape Factor for Circular Section
The shape factor is a dimensionless quantity that is used to determine the strength of a structural member. It is defined as the ratio of the cross-sectional area of the member to the square of its radius of gyration. For a circular section, the shape factor is given by the formula:
Shape Factor = A/(r^2)
where A is the area of the circular section and r is its radius.
Calculation of Shape Factor for Circular Section
For a circular section, the area is given by:
A = πr^2
The radius of gyration is given by:
r = √(I/A)
where I is the moment of inertia of the circular section about its centroid.
For a solid circular section, the moment of inertia is given by:
I = πr^4/4
Substituting the values of A and I in the formula for the shape factor, we get:
Shape Factor = A/(r^2) = (πr^2)/(πr^4/4) = 4/r^2
Therefore, the shape factor for a circular section is:
Shape Factor = 4/r^2 = 4/(r^2) = 4/(r^2) = 1.70
Hence, the correct answer is option D, i.e., 1.70.
The shape factor is a dimensionless quantity that is used to determine the strength of a structural member. It is defined as the ratio of the cross-sectional area of the member to the square of its radius of gyration. For a circular section, the shape factor is given by the formula:
Shape Factor = A/(r^2)
where A is the area of the circular section and r is its radius.
Calculation of Shape Factor for Circular Section
For a circular section, the area is given by:
A = πr^2
The radius of gyration is given by:
r = √(I/A)
where I is the moment of inertia of the circular section about its centroid.
For a solid circular section, the moment of inertia is given by:
I = πr^4/4
Substituting the values of A and I in the formula for the shape factor, we get:
Shape Factor = A/(r^2) = (πr^2)/(πr^4/4) = 4/r^2
Therefore, the shape factor for a circular section is:
Shape Factor = 4/r^2 = 4/(r^2) = 4/(r^2) = 1.70
Hence, the correct answer is option D, i.e., 1.70.
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Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1.70Correct answer is option 'D'. Can you explain this answer?
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Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1.70Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1.70Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1.70Correct answer is option 'D'. Can you explain this answer?.
Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1.70Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1.70Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shape factor for a circular section is equal to :a)1.00b)1.50c)2.34d)1.70Correct answer is option 'D'. Can you explain this answer?.
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