A very large, steel plate of yield stress 200 MPa has a crack at the centre of length 18 mm, orientated along the x-axis. If the plate is subjected to far field tensile loading of magnitude 179 MPa and is assumed to be in a state of plane strain, determine the extent of the plastic region at the crack tip, along the x-axis. You may assume Poisson's ratio is (1/3). Express your answer as an integer value of mm.

A very large, steel plate of yield stress 200 MPa and Poisson's ratio 0.3 has a crack at the centre of length 34 mm, orientated along the x-axis. If the plate is subjected to far field tensile loading of magnitude 177 MPa and is assumed to be in a state of plane stress, determine the extent of the plastic region at the crack tip, along the x-axis. You may assume Poisson's ratio is (1/3). Express your answer as an integer value of mm.

A homogenous isotropic material of size 20 cm x cm x 20 cm is placed inside a rigid box of internal dimension 20 x 20 x 20 cm. The top of the box is open and the material inside is subjected to a uniform compressive stress of 10 N/mm² from the top. Assuming there is no friction between the surface of contact, find the stresses on the side faces of the material. Also find maximum shear stress, the normal stresses on the plane of maximum shear stress and the change of volume of the material. Young's modulus E is 1 x 105 N/mm² and Poisson's ratio, m = 0.3 for the material. S 10 N/mm² 20 cm 20 cm-

Consider a single crystal oriented such that the slip direction and normal to the slip plane are at angles 42.7° and 48.3°, respectively, with the tensile axis. If the critical resolved shear stress is 26.3 MPa, what applied stress (in MPa) will be necessary to cause the single crystal to yield? i MPa