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A simply supported beam is subjected to a uniformly distributed load. Which one 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:
When a uniformly distributed load is applied to a simply supported beam, it causes shear force and bending moment to be generated throughout the beam. The following statements are true for a simply supported beam under uniformly distributed load:
Maximum or minimum shear force occurs where the bending moment is zero: Shear force is the algebraic sum of all vertical forces acting on either side of a section. When the beam is under a uniformly distributed load, the shear force is maximum at the ends and minimum at the center. At the center of the beam, the bending moment is zero, so the shear force is maximum or minimum where the bending moment is zero.
Maximum or minimum bending moment occurs where the shear force is zero: Bending moment is the algebraic sum of all moments of forces acting on either side of a section. When the beam is under a uniformly distributed load, the bending moment is maximum at the center and minimum at the ends. At the ends of the beam, the shear force is zero, so the bending moment is maximum or minimum where the shear force is zero.
Maximum or minimum bending moment occurs where the curvature is zero: The curvature of a beam is the rate of change of slope. The curvature is zero at the ends of the beam and maximum at the center. However, the bending moment is maximum at the center and minimum at the ends, so the maximum or minimum bending moment does not occur where the curvature is zero.
Maximum bending moment and maximum shear force occur at the same section: This statement is false. Maximum bending moment and maximum shear force occur at different sections of the beam. The maximum shear force occurs at the ends of the beam, while the maximum bending moment occurs at the center.
When a uniformly distributed load is applied to a simply supported beam, it causes shear force and bending moment to be generated throughout the beam. The following statements are true for a simply supported beam under uniformly distributed load:
Maximum or minimum shear force occurs where the bending moment is zero: Shear force is the algebraic sum of all vertical forces acting on either side of a section. When the beam is under a uniformly distributed load, the shear force is maximum at the ends and minimum at the center. At the center of the beam, the bending moment is zero, so the shear force is maximum or minimum where the bending moment is zero.
Maximum or minimum bending moment occurs where the shear force is zero: Bending moment is the algebraic sum of all moments of forces acting on either side of a section. When the beam is under a uniformly distributed load, the bending moment is maximum at the center and minimum at the ends. At the ends of the beam, the shear force is zero, so the bending moment is maximum or minimum where the shear force is zero.
Maximum or minimum bending moment occurs where the curvature is zero: The curvature of a beam is the rate of change of slope. The curvature is zero at the ends of the beam and maximum at the center. However, the bending moment is maximum at the center and minimum at the ends, so the maximum or minimum bending moment does not occur where the curvature is zero.
Maximum bending moment and maximum shear force occur at the same section: This statement is false. Maximum bending moment and maximum shear force occur at different sections of the beam. The maximum shear force occurs at the ends of the beam, while the maximum bending moment occurs at the center.
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A simply supported beam is subjected to a uniformly distributed load. Which one 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 zerod)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. Which one 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 zerod)Maximum bending moment and maximum shear force occur at the same section.Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A simply supported beam is subjected to a uniformly distributed load. Which one 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 zerod)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 GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam is subjected to a uniformly distributed load. Which one 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 zerod)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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