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Consider the following statements in case of beams: [IES-2002] 1. Rate of change of shear force is equal to the rate of loading at a particular section 2. Rate of change of bending moment is equal to the shear force at a particular suction. 3. Maximum shear force in a beam occurs at a point where bending moment is either zero or bending moment changes sign Which of the above statements are correct? (a) 1 alone (b) 2 alone (c) 1 and 2 (d) 1, 2 and 3 Correct option is (c)?
Most Upvoted Answer
Consider the following statements in case of beams: [IES-2002] 1. Rate...
In this question only option 1&2 are correct but 3 is not correct 
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Consider the following statements in case of beams: [IES-2002] 1. Rate...
The correct option is (c) 1 and 2. Let's discuss each statement in detail:

1. Rate of change of shear force is equal to the rate of loading at a particular section:
This statement is correct. According to the equilibrium equation, the rate of change of shear force at any section of a beam is equal to the rate of loading (or external force) acting on that section. In other words, the slope of the shear force diagram at any point gives the magnitude of the distributed load at that point.

2. Rate of change of bending moment is equal to the shear force at a particular section:
This statement is also correct. The rate of change of bending moment at any section of a beam is equal to the shear force acting on that section. Mathematically, it can be expressed as:

dM/dx = V

where dM/dx is the rate of change of bending moment with respect to the distance x along the beam, and V is the shear force at that section. This relationship is derived from the equilibrium equation for moments.

3. Maximum shear force in a beam occurs at a point where bending moment is either zero or bending moment changes sign:
This statement is incorrect. The maximum shear force in a beam does not necessarily occur at a point where the bending moment is zero or changes sign. The maximum shear force occurs at the sections where the shear force diagram has a sudden change or discontinuity, such as at concentrated loads, supports, or points of inflection.

To summarize:
- Statement 1 is correct as the rate of change of shear force is equal to the rate of loading at a particular section.
- Statement 2 is correct as the rate of change of bending moment is equal to the shear force at a particular section.
- Statement 3 is incorrect as the maximum shear force does not necessarily occur at a point where the bending moment is zero or changes sign.

Therefore, the correct option is (c) 1 and 2.
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Consider the following statements in case of beams: [IES-2002] 1. Rate of change of shear force is equal to the rate of loading at a particular section 2. Rate of change of bending moment is equal to the shear force at a particular suction. 3. Maximum shear force in a beam occurs at a point where bending moment is either zero or bending moment changes sign Which of the above statements are correct? (a) 1 alone (b) 2 alone (c) 1 and 2 (d) 1, 2 and 3 Correct option is (c)?
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Consider the following statements in case of beams: [IES-2002] 1. Rate of change of shear force is equal to the rate of loading at a particular section 2. Rate of change of bending moment is equal to the shear force at a particular suction. 3. Maximum shear force in a beam occurs at a point where bending moment is either zero or bending moment changes sign Which of the above statements are correct? (a) 1 alone (b) 2 alone (c) 1 and 2 (d) 1, 2 and 3 Correct option is (c)? 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 Consider the following statements in case of beams: [IES-2002] 1. Rate of change of shear force is equal to the rate of loading at a particular section 2. Rate of change of bending moment is equal to the shear force at a particular suction. 3. Maximum shear force in a beam occurs at a point where bending moment is either zero or bending moment changes sign Which of the above statements are correct? (a) 1 alone (b) 2 alone (c) 1 and 2 (d) 1, 2 and 3 Correct option is (c)? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements in case of beams: [IES-2002] 1. Rate of change of shear force is equal to the rate of loading at a particular section 2. Rate of change of bending moment is equal to the shear force at a particular suction. 3. Maximum shear force in a beam occurs at a point where bending moment is either zero or bending moment changes sign Which of the above statements are correct? (a) 1 alone (b) 2 alone (c) 1 and 2 (d) 1, 2 and 3 Correct option is (c)?.
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