Numerical Problem $21$

The principal stresses at a point in an elastic material are $200\frac{N}{m}m2($teasile$),100\frac{N}{m}m2($tensile$)$ and $50\frac{N}{m}m2($compressive$),$ If the stress at the elastic limit in simple tension is $200\frac{N}{m}{m}^2,$ determine whether the failure or material vill occur according to maximum priocipal strain theory. If not, then determine she factor of safety Take poisson's ratio $0\mathrm{.}3.$