Mechanical Engineering Exam > Mechanical Engineering Questions > Assertion (A): If the bending moment along th...
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Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.
Reason (R): The shear force acting on the beam will be zero everywhere along the length.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): If the bending moment along the length of a beam is con...
A is the correct answer. As bot the statements are correct and R is the correct explanation for A.
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Assertion (A): If the bending moment along the length of a beam is con...
The given assertion and reason can be analyzed as follows:
Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.
Reason (R): The shear force acting on the beam will be zero everywhere along the length.
Explanation:
- Bending moment and shear force are two important internal forces that act on a beam due to external loads. Bending moment causes the beam to bend or deform, while shear force causes the beam to shear or slide along its length.
- The distribution of bending moment and shear force along the length of a beam depends on the type and magnitude of the external loads acting on the beam. For example, a simply supported beam with a point load at the center will have maximum bending moment and zero shear force at the center, and vice versa at the supports.
- When the bending moment along the length of a beam is constant, it means that the beam is subjected to a uniformly distributed load or a couple. In such cases, the beam will undergo pure bending without any shear deformation. This is because the bending moment produces a bending stress in the beam cross section that is perpendicular to the longitudinal axis of the beam, and this stress does not have any shear component.
- The reason for the absence of shear stress in such cases is that the shear force acting on the beam is zero everywhere along the length. This is because the external loads that cause bending moment do not have any component perpendicular to the longitudinal axis of the beam, and hence do not produce any shear force. Since shear stress is directly proportional to shear force and inversely proportional to the cross-sectional area of the beam, the absence of shear force implies the absence of shear stress.
Therefore, both assertion (A) and reason (R) are individually true, and reason (R) correctly explains assertion (A). Hence, the correct option is (A).
Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.
Reason (R): The shear force acting on the beam will be zero everywhere along the length.
Explanation:
- Bending moment and shear force are two important internal forces that act on a beam due to external loads. Bending moment causes the beam to bend or deform, while shear force causes the beam to shear or slide along its length.
- The distribution of bending moment and shear force along the length of a beam depends on the type and magnitude of the external loads acting on the beam. For example, a simply supported beam with a point load at the center will have maximum bending moment and zero shear force at the center, and vice versa at the supports.
- When the bending moment along the length of a beam is constant, it means that the beam is subjected to a uniformly distributed load or a couple. In such cases, the beam will undergo pure bending without any shear deformation. This is because the bending moment produces a bending stress in the beam cross section that is perpendicular to the longitudinal axis of the beam, and this stress does not have any shear component.
- The reason for the absence of shear stress in such cases is that the shear force acting on the beam is zero everywhere along the length. This is because the external loads that cause bending moment do not have any component perpendicular to the longitudinal axis of the beam, and hence do not produce any shear force. Since shear stress is directly proportional to shear force and inversely proportional to the cross-sectional area of the beam, the absence of shear force implies the absence of shear stress.
Therefore, both assertion (A) and reason (R) are individually true, and reason (R) correctly explains assertion (A). Hence, the correct option is (A).
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Assertion (A): If the bending moment along the length of a beam is con...
When bending moment is constant through out its length while the beam is not experienced any vertical transverse shear load
if any case vertical transverse shear load is present (i.e concentrated point load) bending moment does not constant through out its length that is changes its magnitude at every point on
if any case vertical transverse shear load is present (i.e concentrated point load) bending moment does not constant through out its length that is changes its magnitude at every point on
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Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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 Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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 Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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 Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. 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 Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice Assertion (A): If the bending moment along the length of a beam is constant, then the beam cross section will not experience any shear stress.Reason (R): The shear force acting on the beam will be zero everywhere along the length.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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