Question

In Pure Bending, the strain “Ex” is linear with the assumption of “Bernoulli-Navier Hypothesis”. Consider a deformed beam segment of length “L”, show “the radius of curvature” and prove that “the longitudinal normal strain (Ex) will vary linearly with distance ‘y’ measured from the neutral axis”. (Prove the formula for the strain Ex).
NOTE: Formulate “Ex” as a function of “Emax: the maximum value of the strain”.

Answer 1

in pure bending, beam behaves like a circular arc after the bending.

where R is the raidus of curvature of the beam after bending.

thank you and please do rate.