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 48P
To determine
Find the angle of twist of gear C with respect to B.
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*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.
*10-72. The shafts are made of A-36 steel and have the
same diameter of 100 mm. If a torque of 25 kN - mis applied
to gear B, determine the angle of twist of gear B
150 mm
25 kN-m
300 mm
0.9 m
10-51. The 50-mm-diameter A992 steel shaft is subjected
to the torques shown. Determine the angle of twist of the
end A.
400 N-m
200 N-m
300 mm
S00 N-m
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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- The two shafts are made of A-36 steel. Each has a diameter of 25 mm 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 journalbearings at C and D, which allow free rotation of the shafts along their axes. If a torque of 500 N # m is applied to the gear at E, determine the rotation of this gear.arrow_forward*5-72. The 80-mm diameter shaft is made of 6061-T6 0.6 m aluminum alloy and subjected to the torsional loading shown. Determine the angle of twist at end A. 0.6 m 10 kN-m/m. B 2 kN-marrow_forwardThe 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. 800 mm 5 kN m/m Aarrow_forward
- The motor produces a torque of T = 20 N # m on gear A. If gear C is suddenly locked so it does not turn, yet B can freely turn, determine the angle of twist of F with respect to E and F with respect to D of the L2-steel shaft, which hasan inner diameter of 30 mm and an outer diameter of 50 mm. Also, calculate the absolute maximum shear stress in the shaft. The shaft is supported on journal bearings at G at H.arrow_forward*10-52. The 60-mm diameter solid shaft is made of 2014-T6 aluminum and is subjected to the distributed and concentrated tonsicnal loadings shown. Determine the angle of twist at the free end A af the shaft. 15KN m 2 kN-m/marrow_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
- The tapered shaft has a length L and a radius r at end A and 2r at end B. If it is fixed at end B and is subjected to a torque T, determine the angle of twist of end A. the shear modulus is G.arrow_forwardA shaft with two segments (one with constant cross-section of 40-mm-diameter, 500-mm--length and one with the tapered cross-section from 40-mm-diameter to 20-mm-diameter, 400-mm-length) is fixed between walls and a torque T is applied at the junction. Determine the angle of twist at B. Shaft is made of 6061-T6 Aluminum.arrow_forwardThe shaft is made of A992 steel. It has a diameter of 1 in. and is supported by bearings at A and D, which allow free rotation. Determine the angle of twist of B with respect to D.arrow_forward
- Segments AB and CD of the assembly are solid circular rods, and segment BC is a tube. If the assembly is made of 6061-T6 aluminum, determine the displacement of end D with respect to end A.arrow_forwardThe 80-mm-diameter shaft is made of steel. If it is subjected to the triangular distributed load, determine the angle of twist of end A. Take G = 75 GPa.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_forward
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