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Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.?
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Assertion (A): A beam subjected only to end moments will be free from ...
Explanation:
End Moments and Shearing Force
When a beam is subjected only to end moments, it will be free from shearing force. End moments are moments that act at the ends of a beam, and they cause bending of the beam. Shearing force, on the other hand, is the force that acts perpendicular to the longitudinal axis of the beam.
Bending Moment Variation
The bending moment variation along the beam length is not necessarily zero when a beam is subjected only to end moments. The bending moment varies along the beam length, and it is zero at the points where the shearing force is maximum.
Free Body Diagram
To understand this concept better, consider a free body diagram of a beam subjected only to end moments. The diagram will show that the beam is in equilibrium, and the sum of the forces and moments acting on it is zero.
Conclusion
In conclusion, the assertion that a beam subjected only to end moments will be free from shearing force is true. However, the reason given that the bending moment variation along the beam length is zero is false. The bending moment varies along the beam length, and it is zero at the points where the shearing force is maximum.
End Moments and Shearing Force
When a beam is subjected only to end moments, it will be free from shearing force. End moments are moments that act at the ends of a beam, and they cause bending of the beam. Shearing force, on the other hand, is the force that acts perpendicular to the longitudinal axis of the beam.
Bending Moment Variation
The bending moment variation along the beam length is not necessarily zero when a beam is subjected only to end moments. The bending moment varies along the beam length, and it is zero at the points where the shearing force is maximum.
Free Body Diagram
To understand this concept better, consider a free body diagram of a beam subjected only to end moments. The diagram will show that the beam is in equilibrium, and the sum of the forces and moments acting on it is zero.
Conclusion
In conclusion, the assertion that a beam subjected only to end moments will be free from shearing force is true. However, the reason given that the bending moment variation along the beam length is zero is false. The bending moment varies along the beam length, and it is zero at the points where the shearing force is maximum.
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Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.?
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Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.? 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 Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.?.
Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.? 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 Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): A beam subjected only to end moments will be free from shearing force. [IAS-2004] Reason (R): The bending moment variation along the beam length is zero.?.
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