The composite shaft assembly shown is composed of a bronze (G = 38 GPa) hollow shaft perfectly bonded to an aluminum (G = 26 GPa) shaft as shown below. The outer diameter of the aluminum shaft is 70mm while the outer diameter of the bronze shaft is 65 mm with an inner diameter of 60mm. If the allowable shear stresses for aluminum and bronze is 85 MPa and 100 MPa, respectively. H Almim Shaft Perfect Bd a Interface H Brone Shaft 1.2m What is the maximum torque (T that can be applied at the end of the assembly? What is the maximum internal shear stress in the bronze section (T)? What is the maximum internal shear stress in the aluminum section (t)

The shaft consists of a titanium alloy tube AB and a solid stainless steel shaft BC. Tube AB has a length of L = 40 in., an outside diameter of dị = 1.75 in., and a wall thickness of tn = 0.125 in. Shaft BC has a length of L2 = 50 in. and a diameter of d2 = 1.25 in. Use G = 6,500 ksi for the tube AB, and G = 11,000 ksi for the shaft BC. The torque Te = 290 lb-ft acts at pulley C in the direction shown. TC L2 B 1. Determine the maximum shear stress in the shaft BC. A) 7.56 ksi B) 18.1 ksi C) 10.5 ksi D) 9.07 ksi E) None of the Above

4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 -10 -250 32 B 6.8 KN 75 -38 100- с 125 10 35 D 30

4. What length of a square key is required for a 4-in diameter shaft transmitting 1000 hp at 1000 RPM? The allowable shear and compressive stresses in the key are 15 ksi and 30 ksi, respectively.