Consider the following states of biaxel stress : (1) σ1 =30 , σ2 = 0. (2) σ1 = 30 σ2 = -15 (3) σ1 = 30 σ2 = -30 (4) σ1 = 30 σ2 = 15 (5) pure shear, τ = 30 with the aid of σ1-σ2 plot, list these stress states in order of increasing likelihood of causing failure according to (a) the maximum-normal-stress theory, (b) the maximum-shear stress theory and (c) the maximum-distortion energy theory. Assume an arbitrary value of Sy = 80 psi for the plot and calculate safety factors for each failure theory and stress state.