10-94. In the case of plane stress, where the in-plane principal strains are given by P 1 and P 2 , show that the third principal strain can be obtained from P 10-96. The principal plane stresses acting at a point are shown in the figure. If the material is machine steel having a yield stress of sY = 500 MPa, determine the factor of safety with respect to yielding if the maximum-shear-stress theory is considered. 3 = −[ n /(1 − n )](P 1 + P 2 ), where n is Poisson's ratio for the material
 
 
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