Question

A plane rectangular element is subjected to two normal stresses ${}^{\prime }{\rho }_1^{\prime }an{d}^{\prime }{\rho }_2^{\prime }$ on two mutually perpendicular planes $({\rho }_1>{\rho }_2$) as shown in the figure.

Which one of the following statements is NOT true in this regard?

• A. The plane BC and CD are pricipal planes.
• B. Shear stress will act on plane inclined to planes AB and CB.
• C. There will not be any normal stress on planes having maximum shear stress.
• D. There will not be any shear stress on planes AB and BC.

Answer 1

The correct option is C There will not be any normal stress on planes having maximum shear stress.

The normal stress on planes having maximum shear stress
$=\frac{{\rho }_1+{\rho }_2}{2}$