The principal stresses acting at a point on a thin-walled cylindrical pressure vessel are \(\sigma_{1}=p r / t, \sigma_{2}=p r / 2 t\), and \(\sigma_{3}=0\). If the yield stress is \(\sigma_{Y}\), determine the maximum value of \(p\) based on

(a) the maximum shear stress theory and

(b) the maximum distortion energy theory.