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A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?
  • a)
    Maximum or minimum shear force occurs where the curvature is zero.
  • b)
    Maximum or minimum bending moment occurs where the shear force is zero.
  • c)
    Maximum or minimum bending moment occurs where the curvature is  zero.
  • d)
    Maximum bending moment and maximum shear force occur at the same section.
Correct answer is option 'B'. Can you explain this answer?
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A simply supported beam is subjected to a uniformly distributed load. ...

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A simply supported beam is subjected to a uniformly distributed load. ...
Explanation:

In a simply supported beam subjected to a uniformly distributed load, the load is spread out evenly along the length of the beam. This results in a linearly varying shear force and a parabolic bending moment diagram.

Shear Force:
The shear force at any section of a beam is the algebraic sum of all the vertical forces on one side of the section. In the case of a uniformly distributed load, the shear force is zero at the supports and increases linearly towards the center of the beam.

Bending Moment:
The bending moment at any section of a beam is the algebraic sum of all the moments about that section. In the case of a uniformly distributed load, the bending moment is maximum at the center of the beam and reduces towards the supports. The bending moment diagram is parabolic, with the maximum bending moment occurring at the center.

Relationship between Shear Force and Bending Moment:
The shear force at any section of a beam is equal to the slope of the bending moment diagram at that section. In other words, the shear force is the rate of change of bending moment.

Therefore, if the shear force is zero at a particular section, it means that the bending moment is not changing at that section. This occurs at the supports of a simply supported beam, where the bending moment is maximum or minimum.

Hence, the correct statement is option 'B': Maximum or minimum bending moment occurs where the shear force is zero.
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A simply supported beam is subjected to a uniformly distributed load. Whichoneof thefollowing statements is true?a)Maximum or minimum shear force occurs where the curvature is zero.b)Maximum or minimum bending moment occurs where the shear force is zero.c)Maximum or minimum bending moment occurs where the curvature is zero.d)Maximum bending moment and maximum shear force occur at the same section.Correct answer is option 'B'. Can you explain this answer?
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A simply supported beam is subjected to a uniformly distributed load. Whichoneof thefollowing statements is true?a)Maximum or minimum shear force occurs where the curvature is zero.b)Maximum or minimum bending moment occurs where the shear force is zero.c)Maximum or minimum bending moment occurs where the curvature is zero.d)Maximum bending moment and maximum shear force occur at the same section.Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A simply supported beam is subjected to a uniformly distributed load. Whichoneof thefollowing statements is true?a)Maximum or minimum shear force occurs where the curvature is zero.b)Maximum or minimum bending moment occurs where the shear force is zero.c)Maximum or minimum bending moment occurs where the curvature is zero.d)Maximum bending moment and maximum shear force occur at the same section.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam is subjected to a uniformly distributed load. Whichoneof thefollowing statements is true?a)Maximum or minimum shear force occurs where the curvature is zero.b)Maximum or minimum bending moment occurs where the shear force is zero.c)Maximum or minimum bending moment occurs where the curvature is zero.d)Maximum bending moment and maximum shear force occur at the same section.Correct answer is option 'B'. Can you explain this answer?.
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