A solid steel [G= 80 GPa] shaft of variable diameter is subjected to the torques shown in Fig. Q3. The diameter of the shaft in segments (1) and (3) is 50 mm, and the diameter of the shaft in segment (2) is 80 mm. The bearings shown allow the shaft to turn freely. (a) Determine the maximum shear stress in the shaft. (b) Determine the rotation angle of pulley C to pulley A. 25 ptc 1,200 N-m 4,500 N-m CG 0.70 m (2) 1.80 m 2,800 N-m of (3) 500 0.70 m

P5 The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar AE is an aluminium alloy [EAE 70 GPa] with a cross-sectional area of AAE = 2,400 mm². Bar CF is a bronze alloy [ECF = 100 GPa] with a cross-sectional area of ACF = 6,000 mm². A downward load P=298 kN is applied at point B. Determine the normal stress created in bras AE and CF. E 2.9 m 0.8 m B P 1.5 m 3.3 m 1.2 m D

2.0 in 3.0 in. The tubular torsional shaft shown above is made ofa stainless steel metal with the following properties: E = 28500 ksi • G= 11000 ksi • v = 0.37 If the pipe cross-section is subjected to an internal torque of T 50 kip-in, which of the following is closest to the minimum shear stress action on the cross-section? 3.92 ksi 1.57 ksi 7.84 ksi

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