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Torsional stiffness is defined as
- a)Torque required to produce a twist of one radian per unit length of the shaft
- b)Torque required to produce a twist of one radian over the length of the shaft
- c)Torque required to produce a twist of one radian per unit polar modulus of the shaft
- d)Torque required to produce a twist of one radian per unit cross sectional area of the shaft
Correct answer is option 'A'. Can you explain this answer?
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Torsional stiffness is defined asa)Torque required to produce a twist ...
Torsional rigidity of a shaft is defined as the torque required to produce a twist of one radian per unit length of the shaft.
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Torsional stiffness is defined asa)Torque required to produce a twist ...
Torsional stiffness is a mechanical property that characterizes the resistance of a shaft to torsional deformation or twisting. It is an important parameter in designing and analyzing various mechanical systems, such as drive shafts, crankshafts, and transmission systems. Torsional stiffness is defined as the torque required to produce a twist of one radian per unit length of the shaft.
Explanation:
a) Torque required to produce a twist of one radian per unit length of the shaft:
- Torque is the rotational force applied to a shaft, while twist refers to the angular displacement of the shaft caused by the applied torque.
- The torsional stiffness measures the relationship between the applied torque and the resulting twist in the shaft.
- The unit of torsional stiffness is typically expressed in Nm/rad per unit length (Nm/rad·m or Nm/rad·mm), which indicates the amount of torque required to produce a twist of one radian over a specific length of the shaft.
b) Torque required to produce a twist of one radian over the length of the shaft:
- This option is incorrect because it does not take into account the length of the shaft. Torsional stiffness is dependent on both the torque and the length of the shaft. Neglecting the length would result in an incorrect measurement of torsional stiffness.
c) Torque required to produce a twist of one radian per unit polar modulus of the shaft:
- The polar modulus is a material property that describes the resistance of a shaft to torsional deformation.
- While the polar modulus is related to torsional stiffness, it is not the primary factor used to define torsional stiffness. Torsional stiffness is primarily determined by the torque and the length of the shaft.
d) Torque required to produce a twist of one radian per unit cross-sectional area of the shaft:
- The cross-sectional area of the shaft is another material property that affects torsional stiffness.
- However, torsional stiffness is not directly measured or defined in terms of the cross-sectional area. It is primarily defined based on the torque and the length of the shaft.
In conclusion, the correct definition of torsional stiffness is the torque required to produce a twist of one radian per unit length of the shaft. This definition takes into account both the applied torque and the length of the shaft, which are the primary factors influencing torsional stiffness.
Explanation:
a) Torque required to produce a twist of one radian per unit length of the shaft:
- Torque is the rotational force applied to a shaft, while twist refers to the angular displacement of the shaft caused by the applied torque.
- The torsional stiffness measures the relationship between the applied torque and the resulting twist in the shaft.
- The unit of torsional stiffness is typically expressed in Nm/rad per unit length (Nm/rad·m or Nm/rad·mm), which indicates the amount of torque required to produce a twist of one radian over a specific length of the shaft.
b) Torque required to produce a twist of one radian over the length of the shaft:
- This option is incorrect because it does not take into account the length of the shaft. Torsional stiffness is dependent on both the torque and the length of the shaft. Neglecting the length would result in an incorrect measurement of torsional stiffness.
c) Torque required to produce a twist of one radian per unit polar modulus of the shaft:
- The polar modulus is a material property that describes the resistance of a shaft to torsional deformation.
- While the polar modulus is related to torsional stiffness, it is not the primary factor used to define torsional stiffness. Torsional stiffness is primarily determined by the torque and the length of the shaft.
d) Torque required to produce a twist of one radian per unit cross-sectional area of the shaft:
- The cross-sectional area of the shaft is another material property that affects torsional stiffness.
- However, torsional stiffness is not directly measured or defined in terms of the cross-sectional area. It is primarily defined based on the torque and the length of the shaft.
In conclusion, the correct definition of torsional stiffness is the torque required to produce a twist of one radian per unit length of the shaft. This definition takes into account both the applied torque and the length of the shaft, which are the primary factors influencing torsional stiffness.
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Torsional stiffness is defined asa)Torque required to produce a twist of one radian per unit length of the shaftb)Torque required to produce a twist of one radian over the length of the shaftc)Torque required to produce a twist of one radian per unit polar modulus of the shaftd)Torque required to produce a twist of one radian per unit cross sectional area of the shaftCorrect answer is option 'A'. Can you explain this answer?
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Torsional stiffness is defined asa)Torque required to produce a twist of one radian per unit length of the shaftb)Torque required to produce a twist of one radian over the length of the shaftc)Torque required to produce a twist of one radian per unit polar modulus of the shaftd)Torque required to produce a twist of one radian per unit cross sectional area of the shaftCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Torsional stiffness is defined asa)Torque required to produce a twist of one radian per unit length of the shaftb)Torque required to produce a twist of one radian over the length of the shaftc)Torque required to produce a twist of one radian per unit polar modulus of the shaftd)Torque required to produce a twist of one radian per unit cross sectional area of the shaftCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Torsional stiffness is defined asa)Torque required to produce a twist of one radian per unit length of the shaftb)Torque required to produce a twist of one radian over the length of the shaftc)Torque required to produce a twist of one radian per unit polar modulus of the shaftd)Torque required to produce a twist of one radian per unit cross sectional area of the shaftCorrect answer is option 'A'. Can you explain this answer?.
Torsional stiffness is defined asa)Torque required to produce a twist of one radian per unit length of the shaftb)Torque required to produce a twist of one radian over the length of the shaftc)Torque required to produce a twist of one radian per unit polar modulus of the shaftd)Torque required to produce a twist of one radian per unit cross sectional area of the shaftCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Torsional stiffness is defined asa)Torque required to produce a twist of one radian per unit length of the shaftb)Torque required to produce a twist of one radian over the length of the shaftc)Torque required to produce a twist of one radian per unit polar modulus of the shaftd)Torque required to produce a twist of one radian per unit cross sectional area of the shaftCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Torsional stiffness is defined asa)Torque required to produce a twist of one radian per unit length of the shaftb)Torque required to produce a twist of one radian over the length of the shaftc)Torque required to produce a twist of one radian per unit polar modulus of the shaftd)Torque required to produce a twist of one radian per unit cross sectional area of the shaftCorrect answer is option 'A'. Can you explain this answer?.
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