Mechanical Engineering Exam > Mechanical Engineering Questions > Consider the following statements:In a cantil...
Start Learning for Free
Consider the following statements:
In a cantilever subjected to a concentrated load at the free end
1. The bending stress is maximum at the free end
2. The maximum shear stress is constant along the length of the beam
3. The slope of the elastic curve is zero at the fixed end
- a)1, 2 and 3
- b)2 and 3
- c)1 and 3
- d)1 and 2
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Consider the following statements:In a cantilever subjected to a conce...
Bending and Shear Stresses in Cantilever under Concentrated Load
Bending and shear stresses are important factors that need to be considered while analyzing the behavior of a cantilever beam subjected to a concentrated load at the free end. The given statements in the question relate to these stresses and the behavior of the beam under the load. Let's discuss each statement in detail.
1. The bending stress is maximum at the free end
When a concentrated load is applied at the free end of a cantilever beam, it causes the beam to bend. The bending stress is maximum at the point where the load is applied, which is the free end of the beam. This is because the moment of the load is maximum at this point, which in turn causes the maximum bending stress.
2. The maximum shear stress is constant along the length of the beam
Shear stress is also an important factor in the behavior of a cantilever beam under a concentrated load. The maximum shear stress is constant along the length of the beam and occurs at a distance of one-third of the depth of the beam from the free end. This is because the shear force is maximum at the support and reduces linearly to zero at the free end. Therefore, the maximum shear stress occurs at a distance of one-third of the depth of the beam from the free end.
3. The slope of the elastic curve is zero at the fixed end
The elastic curve is the shape of the beam under the load. The slope of the elastic curve is zero at the fixed end of the beam because the fixed end does not allow any rotation. Therefore, the slope of the elastic curve is maximum at the free end of the beam where the load is applied.
Conclusion
From the above discussion, it is clear that statements 2 and 3 are correct, while statement 1 is partially correct as the bending stress is maximum at the free end where the load is applied. Therefore, option B is the correct answer.
Bending and shear stresses are important factors that need to be considered while analyzing the behavior of a cantilever beam subjected to a concentrated load at the free end. The given statements in the question relate to these stresses and the behavior of the beam under the load. Let's discuss each statement in detail.
1. The bending stress is maximum at the free end
When a concentrated load is applied at the free end of a cantilever beam, it causes the beam to bend. The bending stress is maximum at the point where the load is applied, which is the free end of the beam. This is because the moment of the load is maximum at this point, which in turn causes the maximum bending stress.
2. The maximum shear stress is constant along the length of the beam
Shear stress is also an important factor in the behavior of a cantilever beam under a concentrated load. The maximum shear stress is constant along the length of the beam and occurs at a distance of one-third of the depth of the beam from the free end. This is because the shear force is maximum at the support and reduces linearly to zero at the free end. Therefore, the maximum shear stress occurs at a distance of one-third of the depth of the beam from the free end.
3. The slope of the elastic curve is zero at the fixed end
The elastic curve is the shape of the beam under the load. The slope of the elastic curve is zero at the fixed end of the beam because the fixed end does not allow any rotation. Therefore, the slope of the elastic curve is maximum at the free end of the beam where the load is applied.
Conclusion
From the above discussion, it is clear that statements 2 and 3 are correct, while statement 1 is partially correct as the bending stress is maximum at the free end where the load is applied. Therefore, option B is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
Consider the following statements:In a cantilever subjected to a conce...
1) bending stress is maximum at fixed end
2) shear force is constant along length so shear stress
3) the slope of elastic curve is zero at fixed end and max at free end
2) shear force is constant along length so shear stress
3) the slope of elastic curve is zero at fixed end and max at free end
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
Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct answer is option 'B'. Can you explain this answer?
Question Description
Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct 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 Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct 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 Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct answer is option 'B'. Can you explain this answer?.
Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct 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 Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct 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 Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct answer is option 'B'. Can you explain this answer?.
Solutions for Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct 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 Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider the following statements:In a cantilever subjected to a concentrated load at the free end1. The bending stress is maximum at the free end2. The maximum shear stress is constant along the length of the beam3. The slope of the elastic curve is zero at the fixed enda)1, 2 and 3b)2 and 3c)1 and 3d)1 and 2Correct 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