GATE Exam > GATE Questions > A rotating steel shaft is supported at the en...
Start Learning for Free
A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. The maximum bending stress developed is 100 MPa. If the yield, ultimate and corrected endurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively, then the factor of safety for the shaft is _______
(Important - Enter only the numerical value in the answer)
Correct answer is between '1.9,2.1'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A rotating steel shaft is supported at the ends. It is subjected to a ...
Most Upvoted Answer
A rotating steel shaft is supported at the ends. It is subjected to a ...
Factors of Safety for a Rotating Steel Shaft
Given data:
Bending stress developed in the shaft = 100 MPa
Yield strength of the shaft material = 300 MPa
Ultimate strength of the shaft material = 500 MPa
Corrected endurance strength of the shaft material = 200 MPa
To find the factor of safety for the shaft, we need to consider the different failure criteria and compare the applied stress to the corresponding strength values.
1. Yield Strength Criterion:
- The yield strength is the maximum stress that a material can withstand without permanent deformation.
- The factor of safety based on yield strength is calculated by dividing the yield strength by the maximum stress developed.
- Factor of Safety (yield) = Yield Strength / Maximum stress = 300 MPa / 100 MPa = 3
2. Ultimate Strength Criterion:
- The ultimate strength is the maximum stress that a material can withstand before failure.
- The factor of safety based on ultimate strength is calculated by dividing the ultimate strength by the maximum stress developed.
- Factor of Safety (ultimate) = Ultimate Strength / Maximum stress = 500 MPa / 100 MPa = 5
3. Corrected Endurance Strength Criterion:
- The corrected endurance strength is the maximum stress that a material can withstand for an infinite number of cycles without failure.
- The factor of safety based on corrected endurance strength is calculated by dividing the corrected endurance strength by the maximum stress developed.
- Factor of Safety (endurance) = Corrected Endurance Strength / Maximum stress = 200 MPa / 100 MPa = 2
The factor of safety for the shaft is the minimum value among the factors of safety calculated based on the different failure criteria.
Therefore, the factor of safety for the shaft is 2.
As per the given correct answer range, the factor of safety falls between 1.9 and 2.1, which is consistent with the calculated factor of safety of 2.
Given data:
Bending stress developed in the shaft = 100 MPa
Yield strength of the shaft material = 300 MPa
Ultimate strength of the shaft material = 500 MPa
Corrected endurance strength of the shaft material = 200 MPa
To find the factor of safety for the shaft, we need to consider the different failure criteria and compare the applied stress to the corresponding strength values.
1. Yield Strength Criterion:
- The yield strength is the maximum stress that a material can withstand without permanent deformation.
- The factor of safety based on yield strength is calculated by dividing the yield strength by the maximum stress developed.
- Factor of Safety (yield) = Yield Strength / Maximum stress = 300 MPa / 100 MPa = 3
2. Ultimate Strength Criterion:
- The ultimate strength is the maximum stress that a material can withstand before failure.
- The factor of safety based on ultimate strength is calculated by dividing the ultimate strength by the maximum stress developed.
- Factor of Safety (ultimate) = Ultimate Strength / Maximum stress = 500 MPa / 100 MPa = 5
3. Corrected Endurance Strength Criterion:
- The corrected endurance strength is the maximum stress that a material can withstand for an infinite number of cycles without failure.
- The factor of safety based on corrected endurance strength is calculated by dividing the corrected endurance strength by the maximum stress developed.
- Factor of Safety (endurance) = Corrected Endurance Strength / Maximum stress = 200 MPa / 100 MPa = 2
The factor of safety for the shaft is the minimum value among the factors of safety calculated based on the different failure criteria.
Therefore, the factor of safety for the shaft is 2.
As per the given correct answer range, the factor of safety falls between 1.9 and 2.1, which is consistent with the calculated factor of safety of 2.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer?
Question Description
A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer?.
A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer?.
Solutions for A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer?, a detailed solution for A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? has been provided alongside types of A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A rotating steel shaft is supported at the ends. It is subjected to a point load at the centre. Themaximum bending stress developed is 100 MPa. If the yield, ultimate and correctedendurance strength of the shaft material is 300 MPa, 500 MPa and 200 MPa, respectively,then the factor of safety for the shaft is _______(Important - Enter only the numerical value in the answer)Correct answer is between '1.9,2.1'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup