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A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?
- a)Axial longitudinal fibre of the shaft is subjected to compressive stress only
- b)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress only
- c)Every point on the surface of the shaft is subjected to maximum shear stress only
- d)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress only
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A shaft is subjected to simultaneous action of a torque T, bending mom...
When a shaft is subjected to the simultaneous action of a torque T, bending moment M, and axial thrust F, only compressive stress is acted along the shaft's axial longitudinal fibre. Shear stress due to twisting and bending tension will be zero at the centroidal axis. As a result, only compressive stress will occur in the longitudinal direction.
Most Upvoted Answer
A shaft is subjected to simultaneous action of a torque T, bending mom...
Explanation:
When a shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F, the stresses induced in the shaft are as follows:
- Torsional Shear Stress: Due to the torque T, torsional shear stress is induced in the shaft. It is maximum at the outer surface of the shaft and zero at the center of the shaft.
- Bending Stress: Due to the bending moment M, bending stress is induced in the shaft. It is maximum at the outermost fiber of the shaft, which is farthest from the neutral axis.
- Axial Stress: Due to the axial thrust F, axial stress is induced in the shaft. It is maximum at the ends of the shaft and zero at the center of the shaft.
Now, let's consider the vertical diametral fiber of the shaft, which is perpendicular to the axial line of the shaft.
- At one extreme end of the vertical diametral fiber, the torsional shear stress is maximum and bending stress is also maximum. However, the axial stress is zero at this point. Therefore, the maximum compressive stress is induced at this point.
- At the opposite extreme end of the vertical diametral fiber, the torsional shear stress is minimum and bending stress is also minimum. However, the axial stress is maximum at this point. Therefore, both tensile and compressive stresses are induced at this point.
- Every point on the surface of the shaft is not subjected to maximum shear stress only. The maximum shear stress occurs at a point on the surface where the sum of the torsional shear stress and bending stress is maximum.
- The axial longitudinal fiber of the shaft is not subjected to compressive stress only. It is subjected to a combination of bending stress, torsional shear stress, and axial stress.
Therefore, option 'A' is the correct answer.
When a shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F, the stresses induced in the shaft are as follows:
- Torsional Shear Stress: Due to the torque T, torsional shear stress is induced in the shaft. It is maximum at the outer surface of the shaft and zero at the center of the shaft.
- Bending Stress: Due to the bending moment M, bending stress is induced in the shaft. It is maximum at the outermost fiber of the shaft, which is farthest from the neutral axis.
- Axial Stress: Due to the axial thrust F, axial stress is induced in the shaft. It is maximum at the ends of the shaft and zero at the center of the shaft.
Now, let's consider the vertical diametral fiber of the shaft, which is perpendicular to the axial line of the shaft.
- At one extreme end of the vertical diametral fiber, the torsional shear stress is maximum and bending stress is also maximum. However, the axial stress is zero at this point. Therefore, the maximum compressive stress is induced at this point.
- At the opposite extreme end of the vertical diametral fiber, the torsional shear stress is minimum and bending stress is also minimum. However, the axial stress is maximum at this point. Therefore, both tensile and compressive stresses are induced at this point.
- Every point on the surface of the shaft is not subjected to maximum shear stress only. The maximum shear stress occurs at a point on the surface where the sum of the torsional shear stress and bending stress is maximum.
- The axial longitudinal fiber of the shaft is not subjected to compressive stress only. It is subjected to a combination of bending stress, torsional shear stress, and axial stress.
Therefore, option 'A' is the correct answer.
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Community Answer
A shaft is subjected to simultaneous action of a torque T, bending mom...
Correct option is D
due to bending we will have tensile/ compressive forces on vertical diametrical fiber (VDF) but this is not just pure bending as they will also possess shear stress due to torque.
That eliminates option A and option B
and similarly every point on the surface or periphery will experience max shear stress only in the case of pure torsion but here it isn't. eliminates option C
so even i am not sure if axial thrust means tensile or compression but here in this case it leaves us no choice but to assume it as compressive, by that we can say axial long fiber has only compressive stress as torque and bending will not effect it.
due to bending we will have tensile/ compressive forces on vertical diametrical fiber (VDF) but this is not just pure bending as they will also possess shear stress due to torque.
That eliminates option A and option B
and similarly every point on the surface or periphery will experience max shear stress only in the case of pure torsion but here it isn't. eliminates option C
so even i am not sure if axial thrust means tensile or compression but here in this case it leaves us no choice but to assume it as compressive, by that we can say axial long fiber has only compressive stress as torque and bending will not effect it.
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A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect answer is option 'A'. Can you explain this answer?
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A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect 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 A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect 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 A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect answer is option 'A'. Can you explain this answer?.
A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect 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 A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect 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 A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect answer is option 'A'. Can you explain this answer?.
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A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A shaft is subjected to simultaneous action of a torque T, bending moment M and an axial thrust F. Which one of the following statements is correct for this situation?a)Axial longitudinal fibre of the shaft is subjected to compressive stress onlyb)The opposite extreme end of the vertical diametral fibre is subjected to tensile/compressive stress onlyc)Every point on the surface of the shaft is subjected to maximum shear stress onlyd)One extreme end of the vertical diametral fibre is subjected to maximum compressive stress onlyCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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