EBK STATICS AND MECHANICS OF MATERIALS
5th Edition
ISBN: 8220102955295
Author: HIBBELER
Publisher: PEARSON
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Chapter 10.3, Problem 31P
To determine
Find the required diameter of the shaft.
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10-21. The shaft has an outer diameter of 100 mm and an
inner diameter of 80 mm. If it is subjected to the three
torques, plot the shear stress distributicn along a radial line
for the cross section within region CD of the shaft. The
smooth bearings at A and B do not resist tarque.
10 kN-m
15 kN m
5 kN-m
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
10-19. If the applied torque on shaft CD is T" = 75 N- m,
determine the absolute maximum shear stress in each shaft.
The bearings B, C, and D allow free rotation of the shafts,
and the motor holds the shafts fixed from rotating.
S0m
30 mm
35 mm
125 mm
Chapter 10 Solutions
EBK STATICS AND MECHANICS OF MATERIALS
Ch. 10.3 - Determine the internal torque at each section and...Ch. 10.3 - Determine the internal torque at each section and...Ch. 10.3 - Prob. 3PPCh. 10.3 - Prob. 4PPCh. 10.3 - Prob. 1FPCh. 10.3 - The hollow circular shaft is subjected to an...Ch. 10.3 - Prob. 3FPCh. 10.3 - Prob. 4FPCh. 10.3 - Determine the maximum shear stress in the shaft at...Ch. 10.3 - Prob. 6FP
Ch. 10.3 - The solid 50-mm-diameter shaft is subjected to the...Ch. 10.3 - Prob. 8FPCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - A shaft is made of an aluminum alloy having an...Ch. 10.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 10.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 10.3 - The solid aluminum shaft has a diameter of 50 mm...Ch. 10.3 - The solid aluminum shaft has a diameter of 50 mm....Ch. 10.3 - The solid 30-mm-diameter shaft is used to transmit...Ch. 10.3 - The solid shaft is fixed to the support at C and...Ch. 10.3 - The link acts as part of the elevator control for...Ch. 10.3 - The assembly consists of two sections of...Ch. 10.3 - The shaft has an outer diameter of 100 mm and an...Ch. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10.3 - Prob. 21PCh. 10.3 - The 60-mm-diametcr solid shaft is subjected to the...Ch. 10.3 - Prob. 23PCh. 10.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 10.3 - Prob. 25PCh. 10.3 - The pump operates using the motor that has a power...Ch. 10.3 - Prob. 27PCh. 10.3 - Prob. 28PCh. 10.3 - Prob. 29PCh. 10.3 - The gear motor can develop 2 hp when it turns at...Ch. 10.3 - Prob. 31PCh. 10.3 - The 6-hp reducer motor can turn at 1200 rev/min....Ch. 10.3 - Prob. 33PCh. 10.3 - Prob. 34PCh. 10.4 - The 60-mm-diameter steel shaft is subjected to the...Ch. 10.4 - Prob. 10FPCh. 10.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 10.4 - A series of gears are mounted on the...Ch. 10.4 - Prob. 13FPCh. 10.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 10.4 - The propellers of a ship are connected to an A-36...Ch. 10.4 - Prob. 36PCh. 10.4 - The splined ends and gears attached to the A992...Ch. 10.4 - Prob. 38PCh. 10.4 - The 60-mm-diameter shaft is made of 6061-T6...Ch. 10.4 - The 60-mm-diameter shaft is made of 6061-T6...Ch. 10.4 - Prob. 41PCh. 10.4 - Prob. 42PCh. 10.4 - Gear B supplies 15 kW of power, while gears A, C,...Ch. 10.4 - Prob. 44PCh. 10.4 - The turbine develops 150 kW of power, which is...Ch. 10.4 - Prob. 46PCh. 10.4 - Prob. 47PCh. 10.4 - Prob. 48PCh. 10.4 - The A 992 steel shaft has a diameter of 50 mm and...Ch. 10.4 - The turbine develops 300 kW of power, which is...Ch. 10.4 - Prob. 51PCh. 10.4 - The device shown is used to mix soils in order to...Ch. 10.4 - The 6-in.-diameter L-2 steel shaft on the turbine...Ch. 10.4 - The A-36 hollow steel shaft is 2 m long and has an...Ch. 10.4 - The A-36 solid steel shaft is 3 m long and has a...Ch. 10.4 - Prob. 56PCh. 10.4 - Prob. 57PCh. 10.4 - Prob. 58PCh. 10.4 - The tubular drive shaft for the propeller of a...Ch. 10.4 - The 60-mm diameter solid shaft is made of 2014-T6...Ch. 10.4 - Prob. 61PCh. 10.5 - The steel shaft has a diameter of 40 mm and is...Ch. 10.5 - The A992 steel shaft has a diameter of 60 mm and...Ch. 10.5 - The steel shaft is made from two segments: AC has...Ch. 10.5 - The bronze C86100 pipe has an outer diameter of...Ch. 10.5 - The bronze C86100 pipe has an outer diameter of...Ch. 10.5 - Prob. 67PCh. 10.5 - Prob. 68PCh. 10.5 - The Am1004-T61 magnesium tube is bonded to the...Ch. 10.5 - The Am1004-T61 magnesium tube is bonded to the...Ch. 10.5 - The two shafts are made of A-36 steel. Each has a...Ch. 10.5 - Prob. 72PCh. 10.5 - Prob. 73PCh. 10.5 - Prob. 74PCh. 10.5 - Prob. 75PCh. 10.5 - The composite shaft consists of a mid-section that...Ch. 10.5 - Prob. 77PCh. 10.5 - The tapered shaft is confined by the fixed...Ch. 10.5 - Prob. 79PCh. 10 - The shaft is made of A992 steel and has an...Ch. 10 - The shaft is made of A992 steel and has an...Ch. 10 - The A-36 steel circular tube is subjected to a...Ch. 10 - Prob. 4RPCh. 10 - Prob. 5RPCh. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - The 60-mm-diameter shaft rotates at 300 rev/min....
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- 10-47. The shaft is made of A992 steel with the allowable shear stress of Tal- 75 MPa. If gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively, determine the required minimum diameter d of the shaft to the nearest millimeter. Also, find the corresponding angle of twist of gear A relative to gear D.The shaft is rotating at 600 rpm. Sdo mmarrow_forwardFI0-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.arrow_forward10-1. 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_forward
- 10-3. A shaft is made of an aluminum alloy having an alkowable shear stress of T - 100 MPa. If the diameter of the shaft is 100 mm, determine the maximum torque T that can be transmitted. What would be the maximum torque T'if a 75-mm-diameter hole were bared through the shaft? Sketch the shear-stress distribution along a radial line in each case.arrow_forward10-61. The motor produces a torque of T = 20 N-m an gear A. If gear Cis suddenly kocked so it does not turn, yet B can freely turn, determine the angle of twist of Fwith respect to E and Fwith respect to D af the L2-steel shaft, which has an inner diameter of 30 mm and an outer diameter of 50 mm. Alsa, calculate the absolute maximum shear stress in the shaft. The shaft is supported on journal bearings at Gat H. 100 mm 30 Omm 40 0.8 m Prob. 10-61arrow_forward10-38. The 60-mm-diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of Ta- 80 MPa. Determine the maximum allowable torque T. Alka, find the corresponding angle of twist of disk A relative to disk C. 1.20m 120marrow_forward
- *10-32. The motor A develops a power of 300 W and turns its connected pulley at 90 rev/min. Determine the required diametens of the steel shafts on the pulleys at A and Bif the allowable shear stress is Tato = 85 MPa. 60 mm 90 rev/min 150 mmarrow_forwardThe shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the three torques, plot the shear stress distribution along a radial line for the cross section within region CD of the shaft. The smooth bearings at A and B do not resist torque.arrow_forward10-34. The A36 solid steel shaft is 2 m long and has a diameter of 60 mm. It is required to transmit 60 kW af power from the motor M to the pump P. Determine the smallest angular velocity the shaft can have if the allowable shear stress is o = H0 MPa.arrow_forward
- *10-28. The 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 af power to the shaft while it is turning at 50 rev/s. If gears A, B, and C remve 3 kW, 4 kW, and 5 kW respectively, determine the maximum shear stress developed in the shaft within regions CFand BC. The shaft is free to turn in its suppeirt bearings D and E. Skw 12 kw 3kw 4 kw 25 mm шлшоarrow_forward10-59. The A-36 hallow steel shaft is 2 m long and has an outer diameter of 40 mm. When it is rotating at 80 rad/s, it transmits 32 kW of power from the engine E to the generator G. Determine the smallest thickness of the shaft if the allowable shear stress is Talle - 140 MPa and the shaft is restricted not to twist more than 0.05 rad.arrow_forwardA3arrow_forward
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