Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  A beam carrying a uniformly distribute load r... Start Learning for Free
A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.
  • a)
    1/2
  • b)
    1
  • c)
    3/2
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A beam carrying a uniformly distribute load rests on two supports ‘b’ ...


(a + b / 2)= b
a = b/2
b/a = 2
Correct option = D
View all questions of this test
Most Upvoted Answer
A beam carrying a uniformly distribute load rests on two supports ‘b’ ...
Ratio for Zero Bending Moment at Midspan
To determine the ratio b/a for zero bending moment at midspan, we need to consider the equilibrium of forces and moments acting on the beam.

Equilibrium of Forces
- For zero bending moment at midspan, the beam should be in equilibrium.
- The reactions at the supports will be equal and opposite to the load acting on the beam.
- The reactions will create a couple to balance the distributed load.

Equilibrium of Moments
- The bending moment at midspan will be zero when the sum of moments about that point is zero.
- The overhangs 'a' at each end will create a moment that counteracts the moment due to the distributed load.

Ratio Calculation
- Let's assume the reactions at the supports are R.
- The total length of the beam is 2a + b.
- The total load on the beam is w(2a + b).
- To balance the moments about the midspan, the moment due to the reactions at the supports should be equal and opposite to the moment due to the distributed load.
- This leads to the equation: Rb = w(2a + b)(a + b/2).
- By solving this equation, we get b/a = 2.
Therefore, the correct answer is option 'D' (2).
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

Top Courses for Mechanical Engineering

A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. Can you explain this answer?
Question Description
A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. 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 beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. 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 beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. Can you explain this answer?.
Solutions for A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. 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 beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.a)1/2b)1c)3/2d)2Correct answer is option 'D'. 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