Question

Consider the following statements about theory of simple bending:
(i) Beam material is isotropic and homogeneous
(ii) Elastic modulus of beam material is more in tension than in compression
(iii) Radius of curvature is large Of these statements,

• A. (i) and (ii) are true
• B. (i) and (iii) are true
• C. (ii) and (iii) are true
• D. (i), (ii), (iii) are true

Hint:

In beam theory, simplifications like isotropy, homogeneity, and large radius of curvature help in deriving practical and analytical solutions in structural analysis.

Answer 1

The Correct Option is B

Analyzing the statements. 
Statement (i) is generally true for simple bending theory, which assumes materials are isotropic and homogeneous for simplicity.
Statement (ii) is false because the elastic modulus is assumed the same in tension and compression for isotropic materials. 
Statement (iii) is generally considered true in the bending equation under small deformation assumptions, where the radius of curvature is large relative to dimensions of the cross-section.