10-2. The solid shaft of radius r is subjected to a torque T. Determine the radius r' af the inner core of the shaft that resists one-quarter of the applied torque (T/4). Solve the problem two ways: (a) by using the tarsion formula, (b) by finding the resultant of the shear-stress distribution. т

5-3. The solid shaft is fixed to the support at C and subjected to the torsional loadings shown. Determine the shcar stress at points A and B and sketch the shear stress on volume clements located at these points 10 kN-m 75 mm 4 kN-m 75 mm 50 mm

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 1500 lb-in. E 2100 lb-in. B 600 lb.in.

Mechanics of materials I

The 43-mm-diameter shaft is subjected to the torques shown. What is the angle of twist of end A with respect to C? Take G = 82 GPa. 400 mm B 600 mm 3 kN-m 2 kN-m

The shaft is fixed at ends A and B and has a positive torque T a distance of 4m from A and 8m from end B. If the angle of twist is zero and the reaction torque at A is 334N-m, what is the magnitute of applied torque T?

The 80-mm-diameter shaft is made of steel. If it is subjected to the uniform distributed torque, determine the angle of twist of end A. Take G = 75 GPa.

= 5-6. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions BC and DE of the shaft. The bearings at A and Fallow free rotation of the shaft. B 20 lb-ft 35 lb-ft 40 lb-ft 25 lb-ft Probs. 5-6/7

5-39. The solid steel shaft DF has a diameter of 25 mm 12 kW 5 kW 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 12 kW of power to the shaft while it is turning at 50 rev/s. If gears A, B, and C remove 3 kW, 4 kw, and 5 kW respectively, determine the maximum shear stress developed in the shaft within regions CF and BC. The shaft is free to turn in its support bearings D and E. 3 kW 4 kW B 1 D.

4. The tapered shaft is made from E- 36 steel ( G = 80 GPa ) , and has a radius which can be described by the equation r = 0.02 ( 1 + x5) m, where x is in meters. Determine the angle of twist of its end A if it is subjected to a torque of 450 N.m. r = 0.02(1 + x3/2) m 4 m 450 N•m