Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  A Cantilever beam of rectangular cross-sectio... Start Learning for Free
A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would. 
  • a)
    Be weakened 0.5 times
  • b)
    Be weakened 0.6 times
  • c)
    Be strengthened 0.6 times
  • d)
    Have the same strength as the original beam because the cross-sectional area remains the same
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m th...
View all questions of this test
Most Upvoted Answer
A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m th...
Answer:

The bending strength of a beam is directly proportional to the moment of inertia of its cross-section. The moment of inertia of a rectangular cross-section is given by the equation I = (1/12)bh^3, where b is the width and h is the depth of the beam.

Given:
- Original beam: b=0.6m, h=1m
- Modified beam: b=1m, h=0.6m

To compare the moment of inertia of the original and modified beams, we can use the ratio of their moment of inertia:

I_modified / I_original = (1/12)(1m)(0.6m)^3 / (1/12)(0.6m)(1m)^3
= (0.6)^2

Therefore, the moment of inertia of the modified beam is weakened by a factor of (0.6)^2 = 0.36.

Since the bending strength of a beam is directly proportional to its moment of inertia, the modified beam is weakened by the same factor of 0.36.

Therefore, the correct answer is option B: the modified beam is weakened by 0.6 times.
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 Engineering

A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect answer is option 'B'. Can you explain this answer?
Question Description
A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect 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 Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect 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 Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect 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 Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A Cantilever beam of rectangular cross-section is 1m deep and 0.6 m thick. If the beam were to be 0.6 m deep and 1m thick, then the beam would.a)Be weakened 0.5 timesb)Be weakened 0.6 timesc)Be strengthened 0.6 timesd)Have the same strength as the original beam because the cross-sectional area remains the sameCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev