SSC Exam > SSC Questions > A beam simply supported at both the ends of ...
Start Learning for Free
A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-
- a)ML2/4EI
- b)ML2/16EI
- c)ML2/64EI
- d)ML2/8EI
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A beam simply supported at both the ends of length ‘L’ carries two eq...
A beam simply supported at both ends carried two equal, unlike couples at both ends.
View all questions of this test
The slope at both ends will be equal
(θA=θB)
(ML/2EI)
Deflection will be maximum at the center
(△max=△center)(=ML2/8EI)
Hence the option D is correct.
Most Upvoted Answer
A beam simply supported at both the ends of length ‘L’ carries two eq...
Given:
- Beam simply supported at both ends of length 'L'
- Carries two equal unlike couple 'M' at two ends
- Flexure rigidity EI is constant
To find: Central deflection of the beam
Solution:
- Let's consider the beam as shown below:
- We can see that the beam is subjected to a couple moment 'M' at each end.
- Due to this, the beam will undergo bending and the shape of the beam will be as shown below:
- The equation for deflection of a simply supported beam subjected to a point load at the center is given by:
δ = (PL^3)/(48EI)
- Here, the beam is subjected to two point loads at the ends. Hence, we can use the principle of superposition to find the deflection at the center.
- The deflection at the center due to one point load is given by:
δ1 = (ML^2)/(16EI)
- Using the principle of superposition, the deflection at the center due to two point loads is given by:
δ = 2δ1
= 2*(ML^2)/(16EI)
= (ML^2)/(8EI)
- Hence, the central deflection of the beam is given by option 'D': ML^2/8EI.
- Beam simply supported at both ends of length 'L'
- Carries two equal unlike couple 'M' at two ends
- Flexure rigidity EI is constant
To find: Central deflection of the beam
Solution:
- Let's consider the beam as shown below:
- We can see that the beam is subjected to a couple moment 'M' at each end.
- Due to this, the beam will undergo bending and the shape of the beam will be as shown below:
- The equation for deflection of a simply supported beam subjected to a point load at the center is given by:
δ = (PL^3)/(48EI)
- Here, the beam is subjected to two point loads at the ends. Hence, we can use the principle of superposition to find the deflection at the center.
- The deflection at the center due to one point load is given by:
δ1 = (ML^2)/(16EI)
- Using the principle of superposition, the deflection at the center due to two point loads is given by:
δ = 2δ1
= 2*(ML^2)/(16EI)
= (ML^2)/(8EI)
- Hence, the central deflection of the beam is given by option 'D': ML^2/8EI.
|
Explore Courses for SSC exam
|
|
Similar SSC Doubts
A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer?
Question Description
A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer?.
A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer?.
Solutions for A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A beam simply supported at both the ends of length ‘L’ carries two equal unlike couple ‘M’ at two ends if the flexure rigidity EI is constant. Then the central deflection of the beam is given by-a)ML2/4EIb)ML2/16EIc)ML2/64EId)ML2/8EICorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
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