Question

According to pure bending theory, which of the following claims is factually incorrect?

• A. Every layer has a different center of curvature
• B. Beam material is isotropic
• C. Beam material is homogenous
• D. Permissible stresses are under Elastic Limit

Answer 1

Answer:

A. Every layer has a different center of curvature

Pure bending theory assumes that beam material is homogenous and isotropic, initially straight, with symmetric cross-sections subjected to bending in the plane of symmetry. The effect of shear is neglected, and plane sections taken normal to the axis of the beam remain plane after bending. The radius of curvature is large compared to beam dimensions, and beam materials are stressed within their elastic limit. In pure bending, every layer has a different radius of curvature but the same centre of curvature, making option 1 factually incorrect.