Flexural rigidity D of an isotropic plate differs from beam EI by a fa…

Question

Flexural rigidity D of an isotropic plate differs from beam EI by a factor of:

Accepted Answer

D. {'text': '$1/(1-\nu^2)$ — the plate is stiffer than the beam because lateral contraction is restrained by adjacent material', 'label': 'B'}

For a beam, EI = E·(bt³/12). For a plate, D = E·t³/[12·(1−ν²)]. The 1/(1−ν²) factor arises because plate bending puts the material in plane strain (no lateral contraction), making it appear stiffer.

Answer

{'text': '$(1+\nu)$', 'label': 'D'}

Answer

{'text': '1', 'label': 'A'}

Answer

{'text': '$\nu$', 'label': 'C'}