At a critical point in a steel part of a machine, the stress components found were σxx = 100 mpa, σyy = −50 mpa and σxy = 30 mpa. assuming the point is in state stress plane, and the material yield stress to be 160 mpa, determine whether the fails according to the criteria: (a) the maximum shear stress (tresca). (b) the maximum deformation energy (von mises).

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.