Mechanical Engineering Exam > Mechanical Engineering Questions > A simply supported beam has equal over-hangin...
Start Learning for Free
A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supports
- a)Is zero
- b)Is a non-zero constant
- c)Varies uniformly from one support to the other
- d)Is maximum at mid-span
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A simply supported beam has equal over-hanging lengths and carries equ...
**Answer:**
To analyze the bending moment over the length between the supports, we need to consider the equilibrium of forces and moments acting on the beam.
**1. Equilibrium of Forces:**
Since the beam is simply supported, it can only exert vertical reactions at the supports. The vertical reactions at each support will balance the weight of the beam and the concentrated loads P at the ends.
Therefore, the vertical reactions at the supports will be equal to P/2 each, as they need to balance the load P at the ends.
**2. Equilibrium of Moments:**
To calculate the bending moment at any point on the beam, we need to consider the moments acting on the beam.
Since the beam is symmetrical and the loads are concentrated at the ends, the beam will experience equal and opposite moments at the supports.
At each support, the moment will be equal to P multiplied by the distance between the load and the support (equal to the overhanging length).
**3. Bending Moment Diagram:**
The bending moment diagram for the beam will consist of two equal and opposite moments, each acting at the supports. Between the supports, the bending moment will be constant and equal to the magnitude of the applied moments at the supports.
Therefore, the bending moment over the length between the supports will be a non-zero constant, which is equal to P times the overhanging length.
**Conclusion:**
Based on the above analysis, we can conclude that the correct answer is option 'B': The bending moment over the length between the supports is a non-zero constant.
To analyze the bending moment over the length between the supports, we need to consider the equilibrium of forces and moments acting on the beam.
**1. Equilibrium of Forces:**
Since the beam is simply supported, it can only exert vertical reactions at the supports. The vertical reactions at each support will balance the weight of the beam and the concentrated loads P at the ends.
Therefore, the vertical reactions at the supports will be equal to P/2 each, as they need to balance the load P at the ends.
**2. Equilibrium of Moments:**
To calculate the bending moment at any point on the beam, we need to consider the moments acting on the beam.
Since the beam is symmetrical and the loads are concentrated at the ends, the beam will experience equal and opposite moments at the supports.
At each support, the moment will be equal to P multiplied by the distance between the load and the support (equal to the overhanging length).
**3. Bending Moment Diagram:**
The bending moment diagram for the beam will consist of two equal and opposite moments, each acting at the supports. Between the supports, the bending moment will be constant and equal to the magnitude of the applied moments at the supports.
Therefore, the bending moment over the length between the supports will be a non-zero constant, which is equal to P times the overhanging length.
**Conclusion:**
Based on the above analysis, we can conclude that the correct answer is option 'B': The bending moment over the length between the supports is a non-zero constant.
Free Test
FREE
| Start Free Test |
Community Answer
A simply supported beam has equal over-hanging lengths and carries equ...
B
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 EngineeringView all
A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect answer is option 'B'. Can you explain this answer?
Question Description
A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect 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 simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect 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 simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect answer is option 'B'. Can you explain this answer?.
A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect 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 simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect 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 simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect 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 simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A simply supported beam has equal over-hanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supportsa)Is zerob)Is a non-zero constantc)Varies uniformly from one support to the otherd)Is maximum at mid-spanCorrect 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