<Dd> σ 2 = σ a v g − R = − 30 MPa (\ displaystyle (\ begin (aligned) \ sigma _ (2) & = \ sigma _ (\ mathrm (avg)) - R \ \ & = - 30 (\ textrm (MPa)) \ \ \ end (aligned))) </Dd> <P> The coordinates for both points H and G (Figure 8 and Figure 9) are the magnitudes of the minimum and maximum shear stresses, respectively; the abscissas for both points H and G are the magnitudes for the normal stresses acting on the same planes where the minimum and maximum shear stresses act, respectively . The magnitudes of the minimum and maximum shear stresses can be found analytically by </P> <Dl> <Dd> τ max, min = ± R = ± 50 MPa (\ displaystyle \ tau _ (\ max, \ min) = \ pm R = \ pm 50 (\ textrm (MPa))) </Dd> </Dl> <Dd> τ max, min = ± R = ± 50 MPa (\ displaystyle \ tau _ (\ max, \ min) = \ pm R = \ pm 50 (\ textrm (MPa))) </Dd>

For the following principal state of stresses draw the mohr’s circles