Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.4, Problem 42P
To determine
Find the required minimum diameter of the shaft and the angle of twist of gear A relative to gear D of the shaft.
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10-57. The tubular drive shaft for the propeller of a
hovereraft is 6 m long. If the motor delivers 4 MW of power
to the shaft when the propellers rotate at 25 rad's, determine
the required inner diameter of the shaft if the outer
diameter is 250 mm. What is the angle of twist of the shaft
when it is operating? Take Ta-90 MPa and G = 75 GPa.
The shaft is made of A992 steel with the allowable shear stress of tallow = 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 diameterd 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.
3.The shaft is made of A992 steel with the allowable shear stress of Tallow = 75 MPa. If gear
B supplies 15 KW of power, while gears A, C and D withdraw 6 KW, 5KW and 4 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.
B
600 mm
600 mm
600 mm
Chapter 10 Solutions
Statics and Mechanics of Materials (5th Edition)
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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- 10-38. 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_forwardGear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively. If the shaft is made of steel with the allowable shear stress of Tmax = 75 MPa, and the relative angle of twist between any two gears cannot exceed 0.05 rad, determine the required minimum diameter d of the shaft to the nearest millimeter. The shaft is rotating at 600 rpm. Shear modulus of steel G = 75 MPa| 600 mm 600 mm 600 mmarrow_forward10-6. The solid 30-mm-diameter shuft is used to transmit the torques applied to the gears. Determine the absolute maximum shear stress in the shaft. 00 N-m S00N-m 200 N-m 400 N-m 300 mm 400 mm S00 mmarrow_forward
- FI0-12. Aseriesofgearsare mountedonthe 40-mm-diameter steel shaft. Determine the angle of twist of gear E relative to gear A. Take G = 75 GPa. G00 N-m 900 N-m SO0 Nm zio mm 300 N-m 200 mm S00 N-m 200 mm 200 mmarrow_forwardThe two 3-ft-long shafts are made of 2014-16 aluminum. Each has a diameter of 1.5 in. and they are connected using the gears fixed to their ends. Their other ends are attached to fixed supports at A and B. They are also supported by bearings at C and D, which allow free rotation of the shafts along their axes. If a torque of 600 lb # ft is applied to the top gear as shown, determine the maximum shear stress in each shaft.arrow_forwardThe gears attached to the A-36 steel shaft are subjected to the torques shown. Determine the angle of twist of end C with respect to end A. The shaft has a diameter of 40 mm. A 0.2 m AAN 300 N·m B 0.5 m GRAA 100 N·m C 200 N·marrow_forward
- 10-61. 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_forwardRI0-2. The shaft is made of A992 steel and has an alkowable shear stress of To - 75 MPa. when the shaft is rotating at 300 rpm, the motor supplies 8 kW af power, while gears A and B withdraw 5 kW and 3 kW, respectively. If the angle of twist of gear A relative to C is not alkowed to exceed 003 rad, determine the required minimum diameter of the shaft to the nearest millimeter. 300 mm S00arrow_forwardThe composite shaft consists of a mid-section that includes the 1-in.-diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thickness of the flanges and determine the angle of twist of end C of the shaft relative to end D.The shaft is subjected to a torque of 800 lb.ft.The material is A-36 steel.arrow_forward
- The solid steel shaft is supported by frictionless bearings in D and E. This system is connected to a motor that provides 5 kW of power to the shaft while rotating at w = 75 rpm. If A and B gears get 2 kW and 3 kW respectively, determine the minimum shaft diameter. w rotation speed and safety shear stress τem = 35MPa are known and given in the table with your names below.arrow_forward10-3. 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_forwardThe solid 35-mm-diameter shaft is used to transmit the torques applied to the gears. The shaft is made of steel A-36 with E = 200 GPa and G = 75 GPa a. Determine the absolute maximum shear stress on the shaft. b. Determine the angle of twist of the end B with respect to end A. c. The shaft is now change d to a hollowed shaft with an outside diameter of 40 mm. What inner diameter is required to resist the same torque with the same maximum shear stress?arrow_forward
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