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The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-
- a)M = WL/2
- b)M = WL/8
- c)M = ML/4
- d)M = WL/12
Correct answer is option 'A'. Can you explain this answer?
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The extreme bending moment caused by the total of a uniformly distrib...
The centre of the load is acting at L/2, and the BM is given by WL/2.
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Understanding Bending Moments in Cantilever Beams
When a cantilever beam is subjected to a uniformly distributed load (W) over its entire length (L), the resultant bending moment at the fixed support is a critical factor in structural analysis.
Key Concepts
- Cantilever Beam: A beam fixed at one end and free at the other. It can support a load along its length but will experience bending moments due to these loads.
- Uniformly Distributed Load (UDL): This is a load that is spread evenly across the length of the beam, resulting in a consistent load per unit length.
Calculation of Bending Moment
The maximum bending moment (M) at the fixed end of a cantilever beam subjected to a uniformly distributed load can be derived from basic principles of equilibrium and mechanics.
- The total load (W) acting on the beam is equal to the load intensity (w) multiplied by the span (L):
W = w * L.
- The formula for the maximum bending moment at the fixed support for a uniformly distributed load is:
M = WL/2.
Why Option A is Correct
- This equation indicates that the maximum bending moment occurs at the fixed support, which is crucial for the design and safety of structures.
- The bending moment (M) is directly proportional to the total load and the length of the beam, highlighting the importance of both parameters in structural integrity.
Conclusion
In summary, for a cantilever beam with a uniformly distributed load, the maximum bending moment is accurately represented by the formula M = WL/2, confirming that option 'A' is indeed the correct answer. Understanding this principle is essential for engineers and architects in ensuring the safety and functionality of structures.
When a cantilever beam is subjected to a uniformly distributed load (W) over its entire length (L), the resultant bending moment at the fixed support is a critical factor in structural analysis.
Key Concepts
- Cantilever Beam: A beam fixed at one end and free at the other. It can support a load along its length but will experience bending moments due to these loads.
- Uniformly Distributed Load (UDL): This is a load that is spread evenly across the length of the beam, resulting in a consistent load per unit length.
Calculation of Bending Moment
The maximum bending moment (M) at the fixed end of a cantilever beam subjected to a uniformly distributed load can be derived from basic principles of equilibrium and mechanics.
- The total load (W) acting on the beam is equal to the load intensity (w) multiplied by the span (L):
W = w * L.
- The formula for the maximum bending moment at the fixed support for a uniformly distributed load is:
M = WL/2.
Why Option A is Correct
- This equation indicates that the maximum bending moment occurs at the fixed support, which is crucial for the design and safety of structures.
- The bending moment (M) is directly proportional to the total load and the length of the beam, highlighting the importance of both parameters in structural integrity.
Conclusion
In summary, for a cantilever beam with a uniformly distributed load, the maximum bending moment is accurately represented by the formula M = WL/2, confirming that option 'A' is indeed the correct answer. Understanding this principle is essential for engineers and architects in ensuring the safety and functionality of structures.
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The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. Can you explain this answer?
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The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. 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 The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. Can you explain this answer?.
The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. 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 The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. Can you explain this answer?.
Solutions for The extreme bending moment caused by the total of a uniformly distributed load (W) on a cantilever beam of span L is-a)M = WL/2b)M = WL/8c)M = ML/4d)M = WL/12Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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