The stepped solid steel shaft ABC is attached to rigid supports at each end. Determine the diameter of segment BC for which the maximum shear stress in both segments will be equal when the torque T is applied at B. Note that the lengths of both segments are given and the diameter of segment AB is 51 mm.

F The shaft is loaded with two forces as shown and is fixed at A. The strength is defined as the maximum allowable force F that does not produce shear stress above the material's maximum al- lowable value of 4 ksi. Determine the strength. By what factor would the strength increase if the shaft diameter were doubled? (L₁ = 12 in., L₂ = 6 in., and d = 0.5 in.)

The axle of the freight train is subjected to loadings as shown below. The diameter of the axle is 137.5 mm. If it is supported by two journal bearings at C and D, determine the maximum bending Stress. Include a FBD, SFD and BMD using either the section or graphical method. Draw a cross-section of the shaft and indicate the points of maximum tension and compression.

3. The stepped shaft shown is supported by bearings at A and B. Determine the maximum stress in the shaft due to the applied torques. The shoulder fillet at the junction of each shaft has a radius of r= 3 mm 27 N.m 54 N.m 27 N.m 30 mm A 15 mm

The composite shaft shown consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 164 mm and a wall thickness of 7 mm. Steel pipe (2) has an outside diameter of 114 mm and a wall thickness of 6 mm. Both pipes are 3-m long and have a shear modulus of 80 GPa. If a concentrated torque of 20 kN-m is applied to flange 8, determine the torque in pipe (1). ... 3 m 3 m 20 kN-m (1) (2) B A 10.98 kN-m в) 15.63 kN-m 9.40 kN-m 14.85 kN-m

A steel core is bonded firmly to the copper tube (shell) to form the shaft shown. The length of the shaft is 450 mm and the end A is fixed to the wall. Take the shear modulus of steel and copper as 76 GPa and 38 GPa, respectively. The diameter of the core is 60 mm and the outer diameter of the shaft is 100 mm. Determine the maximum external torque (Tmax) so that the absolute maximum shear stress for any point H on the surface of the copper shell does not exceed 50 MPa. 450 mm A 100 mm 60 mm В Tmax =? kN · m

Two solid steel wall supported shafts are connected using the 4 bolt flange. A torque is applied to one side of the bolted connection. Using G = 11.2x10 psi determine the shear stress in the 4" diameter bolts which are on a 2.5" bolt circle diameter. Solve with the applied torque on the left side coupling as shown. Also determine the bolt shear stress if the applied torque was on the other side of the coupling. 1.5 in. 1.25 in. T-350 lb ft 3 ft 2 ft

The mechanism below consists of a solid shaft with a diameter of 2 in between A and B and a hollow shaft with an outside diameter of 7 in and a thickness of 1/2 in between B and C. A torque T = 3 kip-in is applied as shown at A and two forces, each P = 322 lb, are applied as shown at the ends of the levers connected to Point B. Determine the shear stress that occurs on the exterior of the hollow shaft between B and C. Express answer in nearest whole psi.

A circular hollow shaft has outer diameter of 60 mm and thickness of 15 mm and is subjected to a torque load of 4.2 kN•m. Determine the resulting minimum shear stress. Also determine the resulting maximum shear stress.

(1) The shaft has an outer diameter of 1.5 in. and an inner diameter of 0.8 in. If it is subjected to the applied torques as shown, determine the shear stress distribution on the cross-section within region EA. The smooth bearings at A and B do not resist torque