Which of the following is/are an assumption(s) made in the theory of Simple Bending?

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  1. The material of the beam that is subjected to bending is homogenous
  2. The effect of shear stresses is neglected
  3. The beams have a symmetrical crosssection and they are subjected to bending only in the plane of symmetry
  4. All of the options

Answer (Detailed Solution Below)

Option 4 : All of the options
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Detailed Solution

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Explanation:

Following are the assumptions made in the theory of Simple Bending:

  • The material of the beam is homogenous and isotropic.
  • The beam is initially straight, and all the longitudinal fibres bend in circular arcs with a common centre of curvature.
  • Members have symmetric cross-sections and are subjected to bending in the plane of symmetry.
  • The beam is subjected to pure bending and the effect of shear is neglected.
  • Plane sections through a beam, taken normal to the axis of the beam remain plane after the beam is subjected to bending.
  • The radius of curvature is large as compared to the dimensions of the beam.
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