2. The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Aluminum El=10(10³) ksi AAB=0.09 in² 2.00 kip A 18 in.- Copper Ecu=18(10³) ksi ABC = 0.12 in² 3.50 kip 3.50 kip -12 in. Steel Est = 29(10³) ksi ACD= 0.06 in² 1.75 kip 1.75 kip 16 in- 1.50 kip

A rectangular plate is subjected to uniform biaxial stress with x = 90 MPa (tension), oy = -20 MPa (compression), and ₂ = 0. The plate has original dimensions 400 X 800 X 200 mm (x X y X z) and is made of steel with E = 200 GPa and v = 0.3. What are the strains Ex, Ey, and Ez?

The solid circular drill rod AB is made of a steel that is assumed to be elastoplastic with τY = 22 ksi and G = 11.2 × 106 psi. Knowing that a torque T = 72 kip·in. is applied to the rod and then removed, determine the maximum residual shearing stress in the rod.       The maximum residual shearing stress in the rod is  ksi.

The composite bar is firmly attached to unyielding supports. The bar is stress-free at 50°F. Compute the stress in each material after the 80-kip force is applied and the temperature is increased to 100°F. Use a = 6.5 x106/°F for steel and a = 12.8 x106/°F for aluminum. Aluminum A = 2 in.² E = 10 x 106 psi 15 in. Steel A = 3 in.2 E = 29 × 106 psi 80 kips 10 in.