A differential element is subjected to plane strain that has the following components; Px = 950(10-6), Py = 420(10-6), gxy = -325(10-6). Use the strain transformation equations and determine (a) the principal strains and (b) the maximum in-plane shear strain and the associated average strain. In each case specify the orientation of the element and show how the strains deform the element.

A strain rosette was attached to the outer surface of stainless vessel when the vessel is in a stress-free state. The vessel was then put under a complex loading (pressure, bending and torsion) state. The train readings for the three strain gage elements in the strain rosette were recorded as: Ea=210, Eb=160, Ec-330, all in micro-strains. The mechanical properties of the stainless material are known: E=193 GPa, G=76 GPa, v=0.27, oy=205 MPa. Calculate the following: 1. Principal strains and in-plane maximum shear strain. 2. Principal stresses and absolute maximum shear stress. 3. The factor-of-safety based on the maximum shear stress failure theory. 4. The factor-of-safety based on the maximum distortion energy failure theory. 45° 45° b 45° strain rosette X

Using the equations of strain in isotropic elasticity, find the stress tensor that cause the following strain state determined from an experiment (material has Young’s modulus of 190 GPa): ?? = 0.001    0.001    0        0.001 −0.002    0.0005        0        0.0005    0shear moduli is 70GPa.

The stress-strain curve of cellulose acetate at 25°C is shown below. Draw the curves at 0°C and 60°C