Mechanical Engineering Exam > Mechanical Engineering Questions > The strain energy variation across cross sec...
Start Learning for Free
The strain energy variation across cross section of a shaft is subjected to uniform torque along the length is
- a)Constant from axis of shaft to outer surface
- b)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.
- c)Zero at the axis to maximum at outer surface, and this variation is linear.
- d)Maximum at the axis to zero at the outer surface and this variation is linear.
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The strain energy variation across cross section of a shaft is subjec...
Strain energy stored in a shaft due to torsion is S. E(U) = 1/2 x T x θ ⇒U ∝ T Torque is zero at the axis and maximum at outer surface.
∴ Strain energy also zero at the axis and maximum at outer surface.
Free Test
FREE
| Start Free Test |
Community Answer
The strain energy variation across cross section of a shaft is subjec...
The Strain Energy Variation Across the Cross-Section of a Shaft
The strain energy variation across the cross-section of a shaft subjected to uniform torque along its length is zero at the axis and maximum at the outer surface. This variation is linear.
Explanation:
When a shaft is subjected to a uniform torque along its length, it experiences shear stress. This shear stress causes deformation within the shaft, resulting in strain energy being stored in the material. The strain energy variation across the cross-section of the shaft can be analyzed to understand how the deformation and energy distribution occur.
Zero at the Axis:
At the axis of the shaft, the distance from the axis to any point on the cross-section is zero. Therefore, the shear stress and strain are also zero at the axis. As a result, there is no strain energy stored at this location.
Maximum at the Outer Surface:
At the outer surface of the shaft, the distance from the axis to any point on the cross-section is maximum. This means that the shear stress and strain are also maximum at the outer surface. As a result, the strain energy stored in the material is also maximum at this location.
Linear Variation:
The strain energy variation across the cross-section of the shaft is linear because the torque is uniformly applied along the length of the shaft. This means that the shear stress and strain increase proportionally from the axis to the outer surface. Consequently, the strain energy also increases linearly across the cross-section.
Conclusion:
In conclusion, the strain energy variation across the cross-section of a shaft subjected to a uniform torque along its length is zero at the axis and maximum at the outer surface. This variation is linear, with the strain energy increasing proportionally from the axis to the outer surface.
The strain energy variation across the cross-section of a shaft subjected to uniform torque along its length is zero at the axis and maximum at the outer surface. This variation is linear.
Explanation:
When a shaft is subjected to a uniform torque along its length, it experiences shear stress. This shear stress causes deformation within the shaft, resulting in strain energy being stored in the material. The strain energy variation across the cross-section of the shaft can be analyzed to understand how the deformation and energy distribution occur.
Zero at the Axis:
At the axis of the shaft, the distance from the axis to any point on the cross-section is zero. Therefore, the shear stress and strain are also zero at the axis. As a result, there is no strain energy stored at this location.
Maximum at the Outer Surface:
At the outer surface of the shaft, the distance from the axis to any point on the cross-section is maximum. This means that the shear stress and strain are also maximum at the outer surface. As a result, the strain energy stored in the material is also maximum at this location.
Linear Variation:
The strain energy variation across the cross-section of the shaft is linear because the torque is uniformly applied along the length of the shaft. This means that the shear stress and strain increase proportionally from the axis to the outer surface. Consequently, the strain energy also increases linearly across the cross-section.
Conclusion:
In conclusion, the strain energy variation across the cross-section of a shaft subjected to a uniform torque along its length is zero at the axis and maximum at the outer surface. This variation is linear, with the strain energy increasing proportionally from the axis to the outer surface.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer?
Question Description
The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. 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 The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. 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 The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer?.
The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. 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 The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. 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 The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer?.
Solutions for The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The strain energy variation across cross section of a shaft is subjected to uniform torque along the length isa)Constant from axis of shaft to outer surfaceb)Zero at the axis to maximum at outer surface and this variation is in parabolic nature.c)Zero at the axis to maximum at outer surface, and this variation is linear.d)Maximum at the axis to zero at the outer surface and this variation is linear.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup