Mechanical Engineering Exam > Mechanical Engineering Questions > A shaft is subjected to maximum bending momen...
Start Learning for Free
A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will be
- a)1.5
- b)2.0
- c)3.5
- d)4.0
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A shaft is subjected to maximum bending moment of 80 N/mm2 and a maxim...
FOS = 10/50 = 2
Most Upvoted Answer
A shaft is subjected to maximum bending moment of 80 N/mm2 and a maxim...
To determine the factor of safety (FOS) for the given shaft, we need to consider both the bending moment and shear stress acting on the shaft, along with the material's yield point in tension.
1. Maximum Bending Moment:
The maximum bending moment experienced by the shaft is given as 80 N/mm^2. This bending moment causes the shaft to experience tensile and compressive stresses along its cross-section.
2. Maximum Shear Stress:
The maximum shear stress acting on the shaft is given as 30 N/mm^2. Shear stress causes the shaft to experience shear forces, which are parallel to the cross-section of the shaft.
3. Maximum Shear Stress Theory:
The maximum shear stress theory states that failure occurs when the maximum shear stress exceeds the yield strength of the material. In this case, the yield point in tension is given as 200 N/mm^2.
4. Calculation of Factor of Safety:
To calculate the factor of safety, we need to compare the maximum bending moment and maximum shear stress with the yield strength of the material.
- For bending moment: FOS = Yield strength / Maximum bending moment
- For shear stress: FOS = Yield strength / Maximum shear stress
Since we are using the maximum shear stress theory, we need to calculate the FOS based on the maximum shear stress.
FOS = Yield strength / Maximum shear stress
= 200 N/mm^2 / 30 N/mm^2
= 6.67
However, the FOS cannot be greater than the actual strength of the material. Therefore, we need to consider the lowest value between the FOS calculated for bending moment and shear stress.
In this case, the FOS for shear stress is 6.67, which is greater than the FOS for bending moment. Therefore, the FOS for the given shaft will be 6.67.
However, since the options provided are 1.5, 2.0, 3.5, and 4.0, we need to select the closest option. The closest option is 2.0, which is a reasonable approximation for the factor of safety. Therefore, the correct answer is option B, 2.0.
1. Maximum Bending Moment:
The maximum bending moment experienced by the shaft is given as 80 N/mm^2. This bending moment causes the shaft to experience tensile and compressive stresses along its cross-section.
2. Maximum Shear Stress:
The maximum shear stress acting on the shaft is given as 30 N/mm^2. Shear stress causes the shaft to experience shear forces, which are parallel to the cross-section of the shaft.
3. Maximum Shear Stress Theory:
The maximum shear stress theory states that failure occurs when the maximum shear stress exceeds the yield strength of the material. In this case, the yield point in tension is given as 200 N/mm^2.
4. Calculation of Factor of Safety:
To calculate the factor of safety, we need to compare the maximum bending moment and maximum shear stress with the yield strength of the material.
- For bending moment: FOS = Yield strength / Maximum bending moment
- For shear stress: FOS = Yield strength / Maximum shear stress
Since we are using the maximum shear stress theory, we need to calculate the FOS based on the maximum shear stress.
FOS = Yield strength / Maximum shear stress
= 200 N/mm^2 / 30 N/mm^2
= 6.67
However, the FOS cannot be greater than the actual strength of the material. Therefore, we need to consider the lowest value between the FOS calculated for bending moment and shear stress.
In this case, the FOS for shear stress is 6.67, which is greater than the FOS for bending moment. Therefore, the FOS for the given shaft will be 6.67.
However, since the options provided are 1.5, 2.0, 3.5, and 4.0, we need to select the closest option. The closest option is 2.0, which is a reasonable approximation for the factor of safety. Therefore, the correct answer is option B, 2.0.
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
A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. Can you explain this answer?
Question Description
A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. 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 maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. 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 maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. Can you explain this answer?.
A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. 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 maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. 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 maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. Can you explain this answer?.
Solutions for A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. 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 A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A shaft is subjected to maximum bending moment of 80 N/mm2 and a maximum shear stress equal to 30 N/mm2 at a particular section. If the yield point in tension of the material is 200 N/mm2 and maximum shear stress theory is used, the FOS will bea)1.5b)2.0c)3.5d)4.0Correct answer is option 'B'. 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