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Torsional rigidity of a solid circular shaft of diameter d is proportional to
- a)d
- b)d2
- c)d4
- d)1/d2
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Torsional rigidity of a solid circular shaft of diameter d is proporti...
Torque per radian twist is known as torsional stiffness (k)
The parameter GJ is called torsional rigidity of the shaft.
Torsional rigidity is also defined as torque per unit angular twist.
Torsional rigidity of a solid circular shaft is proportional to d4.
Most Upvoted Answer
Torsional rigidity of a solid circular shaft of diameter d is proporti...
Torsional Rigidity of a Solid Circular Shaft
Torsional rigidity is the ability of a material to resist twisting or torsion. In the case of a solid circular shaft, the torsional rigidity is proportional to the fourth power of its diameter.
Formula
The formula for torsional rigidity of a solid circular shaft is given by:
K = (π/16) * G * (d^4 / L)
where,
K = torsional rigidity
G = shear modulus of elasticity
d = diameter of the shaft
L = length of the shaft
Explanation of Options
a) d - torsional rigidity is not directly proportional to the diameter of the shaft.
b) d^2 - torsional rigidity is proportional to the fourth power of the diameter, not square.
c) d^4 - torsional rigidity is indeed proportional to the fourth power of the diameter.
d) 1/d^2 - this is the reciprocal of d^2, which is not the correct relationship.
Conclusion
Therefore, option 'C' is the correct answer, as torsional rigidity of a solid circular shaft of diameter d is proportional to d^4.
Torsional rigidity is the ability of a material to resist twisting or torsion. In the case of a solid circular shaft, the torsional rigidity is proportional to the fourth power of its diameter.
Formula
The formula for torsional rigidity of a solid circular shaft is given by:
K = (π/16) * G * (d^4 / L)
where,
K = torsional rigidity
G = shear modulus of elasticity
d = diameter of the shaft
L = length of the shaft
Explanation of Options
a) d - torsional rigidity is not directly proportional to the diameter of the shaft.
b) d^2 - torsional rigidity is proportional to the fourth power of the diameter, not square.
c) d^4 - torsional rigidity is indeed proportional to the fourth power of the diameter.
d) 1/d^2 - this is the reciprocal of d^2, which is not the correct relationship.
Conclusion
Therefore, option 'C' is the correct answer, as torsional rigidity of a solid circular shaft of diameter d is proportional to d^4.
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Torsional rigidity of a solid circular shaft of diameter d is proportional toa)db)d2c)d4d)1/d2Correct answer is option 'C'. Can you explain this answer?
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Torsional rigidity of a solid circular shaft of diameter d is proportional toa)db)d2c)d4d)1/d2Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Torsional rigidity of a solid circular shaft of diameter d is proportional toa)db)d2c)d4d)1/d2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Torsional rigidity of a solid circular shaft of diameter d is proportional toa)db)d2c)d4d)1/d2Correct answer is option 'C'. Can you explain this answer?.
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