Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 10.4, Problem 49P
The A 992 steel shaft has a diameter of 50 mm and is subjected to the distributed loadings shown. Determine the absolute maximum shear stress in the shaft and plot a graph of the angle of twist of the shaft in radians versus x.
Prob. 10-49
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10-46. The A992 steel shaft has a diameter of 50 mm and
is subjected to the distributed loadings shown. Determine
the ahsolute maximum shear stress in the shaft and plot a
graph of the angle of twist of the shaft in radians versus I.
SO0 N-
1000 N-m/m
*o.s
"asm
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
120m
*10-56. The shaft of radius c is subjected to a distributed
torque t, measured as torquellength of shaft. Determine the
angle of twist at end A. The shear modulus is G.
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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- 10-57. 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.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_forwardThe 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 marrow_forward
- The shaft is made from a solid steel section AB and a tubular portion made of steel and having a brass core. If it is fixed to a rigid support at A, and a torque of T = 50 lb.ft is applied to it at C, determine the rotation angle that occurs at C relative to A and compute the maximum shear stress and maximum shear strain in the brass and steel. Take Gst = 11500 ksi, Gbr = 5600 Ksi. 3 ft 0.5 in. B 1 in. T = 50 lb•ftarrow_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_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_forward
- If the shaft is made from A-36 steel having allowable shear stress of tallow = 75 MPa, determine the minimum dimension a for the cross-section to the nearest millimeter. Also, find the corresponding angle of twist at end B.arrow_forwardIf the following solid shaft has a diameter of 20 mm, determine the following: a- a - The polar moment of inertia for the shaft. b- The absolute maximum shear stress developed in the shaft. b- c- The angle of twist of the end B. Take G= 75 GPa.arrow_forward10-21. 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-marrow_forward
- The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the shear stress (in Pa) in the hollow shaft using the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70066350 Pa and angle of twist of 2.5° for the whole shaft. Use 6 = 83000000000 Pafor the shaft, x = 2.25 m, and y = 1.63 m. Round off the final answer to two decimal places. T 100 mm 70 mm 70 mm yarrow_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_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_forward
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