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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)The maximum or minimum bending moment occurs where the shear force is zero
- c)The 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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Verified Answer
A simply supported beam is subjected to a uniformly distributed load. ...
For section AB
For equilibrium, ∑M0 = 0
Most Upvoted Answer
A simply supported beam is subjected to a uniformly distributed load. ...
Explanation:
Uniformly Distributed Load
A uniformly distributed load is a load that is spread over a length or area in a uniform manner. It is also known as a UDL. The load per unit length or area remains constant throughout the length or area of the load.
Simply Supported Beam
A simply supported beam is a beam that is supported at two points, known as supports or simply supports. The supports are usually located at the ends of the beam. The beam is free to rotate at the supports but cannot translate.
Shear Force and Bending Moment
Shear force is the force that tends to shear or cut the beam along a particular section. Bending moment is the moment that tends to bend the beam along a particular section. Shear force and bending moment vary along the length of the beam.
Maximum or Minimum Shear Force
The maximum or minimum shear force occurs where the bending moment is zero. This is because the bending moment changes sign at this point. The shear force is maximum or minimum when the bending moment is zero and changes sign.
Maximum or Minimum Bending Moment
The maximum or minimum bending moment occurs where the shear force is zero. This is because the shear force changes sign at this point. The bending moment is maximum or minimum when the shear force is zero and changes sign.
Maximum Bending Moment and Maximum Shear Force
The maximum bending moment and maximum shear force occur at different sections. The maximum bending moment occurs where the shear force is zero and changes sign. The maximum shear force occurs where the bending moment is zero and changes sign.
Conclusion
Hence, option B is the correct answer. The maximum or minimum bending moment occurs where the shear force is zero.
Uniformly Distributed Load
A uniformly distributed load is a load that is spread over a length or area in a uniform manner. It is also known as a UDL. The load per unit length or area remains constant throughout the length or area of the load.
Simply Supported Beam
A simply supported beam is a beam that is supported at two points, known as supports or simply supports. The supports are usually located at the ends of the beam. The beam is free to rotate at the supports but cannot translate.
Shear Force and Bending Moment
Shear force is the force that tends to shear or cut the beam along a particular section. Bending moment is the moment that tends to bend the beam along a particular section. Shear force and bending moment vary along the length of the beam.
Maximum or Minimum Shear Force
The maximum or minimum shear force occurs where the bending moment is zero. This is because the bending moment changes sign at this point. The shear force is maximum or minimum when the bending moment is zero and changes sign.
Maximum or Minimum Bending Moment
The maximum or minimum bending moment occurs where the shear force is zero. This is because the shear force changes sign at this point. The bending moment is maximum or minimum when the shear force is zero and changes sign.
Maximum Bending Moment and Maximum Shear Force
The maximum bending moment and maximum shear force occur at different sections. The maximum bending moment occurs where the shear force is zero and changes sign. The maximum shear force occurs where the bending moment is zero and changes sign.
Conclusion
Hence, option B is the correct answer. The 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. Which one of the following statements is true?a)Maximum or minimum shear force occurs where the curvature is zero.b)The maximum or minimum bending moment occurs where the shear force is zeroc)The maximum or minimum bending moment occurs where the curvature is zerod)Maximum bending moment and maximum shear force occur at the same sectionCorrect answer is option 'B'. Can you explain this answer?
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