☐please work out the compliance matrix for the linear isotropic elastic plane stress and plane strain problems • Plane stress: all "out-of-plane" stresses assumed zero, 0₂ = 0,0zx = 0, 0zy = 0, • Plane strain: all "out-of-plane" strains assumed zero, i.e., Ez = 0, Ezx = 0, Ezy = 0,

If €, and e y are the maximum and minimum strains, respectively in the neighbourhood of a point in a stressed material, then what is the expression for the maximum principal stress?

A critical point in a part made of a ductile material is subject to the following state of plane stress: 15ksi, 30 ksi, 15 ksi, Ox,min = -35 ksi, Oy,min = 30 ksi, Txy,min = -15 ksi. Ох,max бу,max Тxy,max %3D There are no stress concentrations. The load line is propositional. The material has a yield strength of Sy = 130 ksi, an ultimate strength of Su = 200 ksi, and a fully corrected endurance limit of Sn : 75 ksi. Calculate the: (a) Static factor of safety using the MSSTF, (b) Static factor of safety using the DETF, (c) Fatigue factor of safety using the Soderberg criterion, (d) Fatigue factor of safety using the Goodman criterion, (e) Fatigue factor of safety using the ASME elliptic criterion.

1. If we take the stress function = 2x²y + xy², what are the stress components according to this stress function? What are the stresses on the boundaries of the body below? O y H H L X