Find all principal stresses, the unit normal vectors in all principal directions, the maximum shear stress and the unit normal vector to the plane on which it acts. draw the three-dimensional mohr’s circle, labeling all key values. show all work, just using a calculator is not allowed. (a) σxx = 120, σyy = 60, σzz = −40, σxy = −30, σyz = 100, σxz = 50, (all in mpa). (b) σxx = σyy = σzz = 0, σxy = σyz = σxz = −50 mpa. (c) σxx = σyy = −20 mpa, σzz = 40 mpa, σxy = σyz = σxz = 0.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.

Slip occurs via two partial dislocations because of (a) the shorter path of the partial dislocation lines; (b) the lower energy state through partial dislocations; (c) the charge balance.

Ahot wire operates at a temperature of 200°c while the air temperature is 20°c. the hot wire element is a tungsten wire of 5 um diameter and 2 mm in length. plot using excel current, heat transfer and heat generated by the wire for air velocity varying from 1-10 m/s in steps of lm/s? matlab the sensor voltage output, resistance, or assume nu 0.989 re033pr13 take air properties at tr (200°c20°c)/2 = 110°c properties of tungsten: c 0.13 kj/kg.k 3 p 19250 kg/m k (thermal conductivity) = 174 w/m.k