• # question_answer Plane stress at a point in a body is defined by principal stresses $3\sigma$ and $\sigma .$ The ratio of the maximum normal stress to the maximum shear stress on the plane of maximum shear stress is: A) 1                                 B) 2C) 3                                 D) 4

${{\sigma }_{1}}=3\sigma ,$ ${{\sigma }_{2}}=0$ ${{\tau }_{\max }}=\frac{{{\sigma }_{1}}-{{\sigma }_{2}}}{2}=\frac{3\sigma -\sigma }{2}=\sigma$ $\frac{{{\sigma }_{1}}}{{{\tau }_{\max }}}=\frac{3\sigma }{\sigma }=3$