Calculate the flow stress at the end of the stroke of this material at the given temperature assuming coefficient =0.2

12. An aluminum sleeve is held between the head and the nut of a steel bolt. The temperature is raised 40°F from 60°F after the nut is turned 45° against the sleeve from loose contact therewith. Calculate the stresses in the sleeve and the bolt. BOLT IS 1/2" DIA, 16 THREADS/ IN. E(ALUM.) 10 x 106 psi E (STEEL)= 30×106 psi Coefficient of linear expansion STEEL: 6.5 x 10-6 °/°F ALUM: 12 x 10-6/F

The tube has a length of 2 m and is made of the material with the properties provided in the following figure. (a) Determine the torque needed to just cause the maximum strain to reach 0.015. (b) What is the permanent angle of twist of the tube when this torque is removed?

Graphically present the general form of the maximum shear stress variation across the compound cylinder wall clearly indicating the values at the cylinder bore, common interface and the outer surface. What do you infer by comparing the shear stress distributions in the respective cylinders?