Determine the maximum torque that can be applied to hollow circular steel shaft of 100mm outside diameter and 70mm inside diameter without exceeding a shearing stress of 60MPa or a twist of 0.5 degree per meter

1. A solid steel shaft 3in in diameter and 4ft long is fixed at one end and free at the other, as shown. The shaft is subjected to an axial tensile load of 50,000 lbs. a. Compute the magnitude of the force P at the free end necessary to reduce the stress at point B to zero. b. Compute the maximum combined stress at point A. 50.000 b 4'-0"

The torsional element shown consists of two solid shafts; steel shaft (1) with a length of L1 = 650 mm, a diameter of d1 = 39 mm, and a modulus of rigidity of G1= 40 GPa; and copper shaft (2) with a length of L2 = 1445 mm, a diameter of d2 = 23 mm and a modulus of rigidity of G2= 85 GPa. A torque of TB = 835 N.m and a torque of TC = 300 N.m are applied on the shaft at joints B and C, respectively. [L1 = 650 mm, d1 = 39 mm, G1= 40 GPa; L2 = 1445 mm, d2 = 23 mm, G2= 85 GPa, TB = 835 N.m, TC = 300 N.m] Determine the internal torque in shaft (2).N.m Determine the maximum shear stress in shaft (2). Determine the angle of twist in shaft (1). Determine the angle of twist in shaft (2).in rad Determine the angle of twist at C with respect to the support.in rad