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If a simply – supported beam of span L carries a moment force at its mid-span, then the shear force diagram will be
  • a)
    triangular
  • b)
    rectangular
  • c)
    parabolic
  • d)
    cubic parabolic
Correct answer is option 'B'. Can you explain this answer?
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If a simply – supported beam of span L carries a moment force at its ...
If a simply – supported beam of span L carries a moment force at its mid-span, then the shear force diagram will be rectangular, and the bending moment diagram will be triangular.
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If a simply – supported beam of span L carries a moment force at its ...
Shear Force Diagram for a Simply-Supported Beam with Mid-Span Moment
1. Explanation:
When a simply-supported beam of span L carries a moment force at its mid-span, the shear force diagram will be rectangular. This is because the moment force creates a constant shear force along the entire span of the beam.
2. Shear Force Distribution:
- At the supports, the shear force will be zero.
- At the mid-span where the moment force is applied, there will be a constant shear force equal to the magnitude of the moment force.
3. Rectangular Shear Force Diagram:
- The shear force diagram for this scenario will be a rectangle with a height equal to the magnitude of the moment force and a constant value along the entire length of the beam.
- This is in contrast to other loading conditions where the shear force diagram may be triangular, parabolic, or cubic parabolic.
4. Implications:
- Understanding the shear force distribution in a simply-supported beam with a mid-span moment is crucial for designing structures to ensure they can withstand the applied loads.
- Engineers use shear force diagrams to analyze the internal forces acting on a beam and determine the required size and material properties for safe and efficient construction.
In conclusion, when a simply-supported beam with a mid-span moment force is analyzed, the shear force diagram will be rectangular due to the constant shear force resulting from the applied moment. This knowledge is essential for structural engineers when designing and analyzing beam structures.
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If a simply – supported beam of span L carries a moment force at its mid-span, then the shear force diagram will bea)triangularb)rectangularc)parabolicd)cubic parabolicCorrect answer is option 'B'. Can you explain this answer?
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