Mechanical Engineering Exam > Mechanical Engineering Questions > It the dimentions of a prismatic bar hanging ...
Start Learning for Free
It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will become
- a)two times
- b)4 times
- c)6 times
- d)8 times
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
It the dimentions of a prismatic bar hanging fromroof are doubled, the...
Explanation:
When a prismatic bar is hanging from a roof, it experiences a self-weight force acting downwards. This force causes the bar to elongate due to the tensile stress developed in the bar. The elongation can be calculated using the formula:
ΔL = (FL)/AE
where ΔL is the elongation, F is the force of self-weight, L is the length of the bar, A is the cross-sectional area of the bar, and E is the modulus of elasticity of the material of the bar.
Now, let us consider the effect of doubling the dimensions of the bar on its elongation due to self-weight.
Doubling the dimensions means that the length, L, and the cross-sectional area, A, both become twice their original values. Therefore, the elongation can be calculated as:
ΔL' = (F' L')/(A' E)
where ΔL' is the new elongation, F' is the new force of self-weight, L' is the new length of the bar, A' is the new cross-sectional area of the bar, and E is the same modulus of elasticity as before.
Substituting the new values, we get:
ΔL' = (2FL)/(2AE) = (FL)/(AE) = ΔL
Therefore, the elongation due to self-weight remains the same when the dimensions of the bar are doubled.
But the question asks for the effect on elongation in terms of a multiple of the original elongation. Since the elongation remains the same, the multiple is 1.
Now, let us consider the effect of quadrupling the dimensions of the bar on its elongation due to self-weight.
Quadrupling the dimensions means that the length, L, and the cross-sectional area, A, both become four times their original values. Therefore, the elongation can be calculated as:
ΔL'' = (F'' L'')/(A'' E)
where ΔL'' is the new elongation, F'' is the new force of self-weight, L'' is the new length of the bar, A'' is the new cross-sectional area of the bar, and E is the same modulus of elasticity as before.
Substituting the new values, we get:
ΔL'' = (4FL)/(4AE) = (FL)/(AE) = ΔL
Therefore, the elongation due to self-weight remains the same even when the dimensions of the bar are quadrupled.
Since the elongation remains the same, the multiple of the original elongation is also 1.
Therefore, the answer to the question is option B, i.e., the elongation due to self-weight becomes four times when the dimensions of a prismatic bar hanging from the roof are quadrupled.
When a prismatic bar is hanging from a roof, it experiences a self-weight force acting downwards. This force causes the bar to elongate due to the tensile stress developed in the bar. The elongation can be calculated using the formula:
ΔL = (FL)/AE
where ΔL is the elongation, F is the force of self-weight, L is the length of the bar, A is the cross-sectional area of the bar, and E is the modulus of elasticity of the material of the bar.
Now, let us consider the effect of doubling the dimensions of the bar on its elongation due to self-weight.
Doubling the dimensions means that the length, L, and the cross-sectional area, A, both become twice their original values. Therefore, the elongation can be calculated as:
ΔL' = (F' L')/(A' E)
where ΔL' is the new elongation, F' is the new force of self-weight, L' is the new length of the bar, A' is the new cross-sectional area of the bar, and E is the same modulus of elasticity as before.
Substituting the new values, we get:
ΔL' = (2FL)/(2AE) = (FL)/(AE) = ΔL
Therefore, the elongation due to self-weight remains the same when the dimensions of the bar are doubled.
But the question asks for the effect on elongation in terms of a multiple of the original elongation. Since the elongation remains the same, the multiple is 1.
Now, let us consider the effect of quadrupling the dimensions of the bar on its elongation due to self-weight.
Quadrupling the dimensions means that the length, L, and the cross-sectional area, A, both become four times their original values. Therefore, the elongation can be calculated as:
ΔL'' = (F'' L'')/(A'' E)
where ΔL'' is the new elongation, F'' is the new force of self-weight, L'' is the new length of the bar, A'' is the new cross-sectional area of the bar, and E is the same modulus of elasticity as before.
Substituting the new values, we get:
ΔL'' = (4FL)/(4AE) = (FL)/(AE) = ΔL
Therefore, the elongation due to self-weight remains the same even when the dimensions of the bar are quadrupled.
Since the elongation remains the same, the multiple of the original elongation is also 1.
Therefore, the answer to the question is option B, i.e., the elongation due to self-weight becomes four times when the dimensions of a prismatic bar hanging from the roof are quadrupled.
Free Test
FREE
| Start Free Test |
Community Answer
It the dimentions of a prismatic bar hanging fromroof are doubled, the...
If the following sentences in which the hanging and another where and here and also in which each
prolonged and destination for the 4 times ans
prolonged and destination for the 4 times ans
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
It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect answer is option 'B'. Can you explain this answer?
Question Description
It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect 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 It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect 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 It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect answer is option 'B'. Can you explain this answer?.
It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect 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 It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect 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 It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect answer is option 'B'. Can you explain this answer?.
Solutions for It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect 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 It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice It the dimentions of a prismatic bar hanging fromroof are doubled, the elongation due to its selfweight will becomea) two timesb) 4 timesc) 6 timesd) 8 timesCorrect 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