Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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The electric motor exerts a torque of 800 N- m on the steel shaft ABCD when it is
rotating at a constant speed. The angle of twist between A and D is limited to 1.50 degree. Use
maximum shear = 60 MPa and modulus of rigidity = 77 GPa. Solve its torque for each shaft AB
and BC. And determine the diameter of the Shaft based on strength.
300 N.m
500 N.m
0.4 m
0.6 m
0.3 m
FI0-R. The gear motor can develop 2250 W when it turns
at 150 rev/min. If the allowable shear stress for the shaft is
Talom = 84 MPa, determine the smalest diameter of the
shaft to the nearest mm that can be used.
3. Motor A develops a power of 2.5 HP and has an attached pulley that rotates at 90 rev/min. Determinethe diameters of the steel shafts located on the pulleys at A and B3 if the allowable shear stress isperm = 15 ksi
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- The solid steel shaft AC has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at C, which delivers 3 kW of power to the shaft while it is turning at 50 rev>s. If gears A and B remove1 kW and 2 kW, respectively, determine the maximum shear stress in the shaft within regions AB and BC. The shaft is free to turn in its support bearings D and E.arrow_forward10-2. 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. тarrow_forwardThe solid steel shaft DF has a diameter of 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 absolute maximum shear stress in the shaft. 5 kW 25 mm 12 kW 3 kW 4 kW A B D ΕF. ווו(arrow_forward
- The shaft consists of two sections that are rigidly connected. If the material is elastic perfectly plastic as shown, determine the largest torque T that can be applied to the shaft. Also, draw the shear-stress distribution over a radial line for each section. Neglect the effect of stress concentration.arrow_forwardThe shaft has a radius c and is subjected to a torque per unit length of t0, which is distributed uniformly over the shaft’s entire length L. If it is fixed at its far end A, determine the angle of twist f of end B. The shear modulus is G.arrow_forwardThe gear motor can develop 3 hp when it turns at 150 rev>min. If the allowable shear stress for the shaft is tallow = 12 ksi, determine the smallest diameter of the shaft to the nearest 1 8 in. that can be used.arrow_forward
- 10-1. The solid shaft of radius r is subjected to a torque T. Determine the radius r' of the inner core of the shaft that resists one-half of the applied torque (T/2). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.arrow_forwardThe 304 stainless steel tube has a thickness of 10 mm. If the allowable shear stress is tallow = 80 MPa, determine the maximum torque T that it can transmit. Also, what is the angle of twist of one end of the tube with respect to the other if the tube is 4 m long? The mean dimensions are shown.arrow_forwardThe solid steel shaft DF has a diameter of 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 remove3 kW, 4 kW, and 5 kW respectively, determine the maximum shear stress in the shaft within regions CF and BC. The shaft is free to turn in its support bearings D and E.arrow_forward
- If the solid shaft is made from red brass C83400 and it is subjected to a torque T = 6 kip # ft at B, determine the maximum shear stress developed in segments AB and BC.arrow_forwardthe solid steel sheft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F. which delivers 12kw of bower to the shift while turning at 50 rev/s if gears A ,B and C remove 3kw,4kw,5kw respectively . determine the maximum shear stress developed in the shift within Regions CF and BC. the shaft is free to turn in its support bearings D and Farrow_forwardThe solid 50-mm-diameter shaft is subjected to the torques applied to the gears. Determine the absolute maximum shear stress in the shaft.arrow_forward
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