A steel shaft (G=77 GPa) & an (Al) tube (G = 27 GPa) are connected to a fixed support & a rigid disk at the two ends. Knowing that the initial stresses are zero, determine the max torque that can be applied to the disk if the allowable stresses are tallow = 120 MPa & Tallow = 70 MPa for the steel shaft & (Al) tube respectively Rigid Disk Al Tube 76 mm Steel Shaft 50 mm 8 mm Al Tube Steel Shaft 500 mm

*10-48. The 6061-T6 aluminum alloy plate fits snugly into the rigid constraint. Determine the normal stresses o, and o, developed in the plate if the temperature is increased by AT = 50°C. To solve, add the thermal strain aAT to the equations for Hooke's law. y 300 mm 400 mm Prob. 10-48

The shaft AB is formed by bonding steel tube and a brass core. Outer diameter of the steel tube is 60 mm and the diameter of the brass core is 30 mm. The shaft is subjected to uniform distributed torque o t kNm/m. The allowable shear stresses for steel and brass are (Tsteel)all = 80 MPa and (Tbrass)all = 50 MPa, respectively. Determine a) the maximum value of the uniform torque t , b) the corresponding angle of twist at A. (The shear modulus for steel and brass are Gsteel = 77 GPa and Gbrass = 40 GPa, respectively) - Steel Tube A t kNm/m B 30 mm 15 mm 1 m 1 m Brass Core Cross Section

Load P is applied to joint D and the temperature increases by 50 °F. There are two steel (E = 29*10^6 psi; a = 6.5*10^-6/°F) AD and DC and a bronze (E = 16*10^6 psi; a = 9*10^-6/°F) BD with a length of 50 inches. Each bar is a 0.75 inch diameter. Find the deformation of every rod, the displacement at D, and the stress in each rod.