Mechanics of Materials

11th Edition

ISBN: 9780137605460

Author: Russell C. Hibbeler

Publisher: Pearson Education (US)

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Textbook Question

Chapter 5.4, Problem 9FP

The 60 mm-diameter steel shaft is subjected to the torques shown. Determine the angle of twist of end *A* with respect to *C*. Take *G* = 75 GPa.

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1.
The
40-mm-diameter
steel shaft is subjected to the torques shown. Determine the angle
of twist of end B with respect to A. Use the sign convention for internal torques and take G=
75GPa. FBDs of cut sections OR an internal torque diagram is required for full credit.
80 N-m
20 N-m
30 N-m
600 mm
800 mm
200 mm

The 60-mm-diameter steel shaft is subjected to the torques shown. Determine the angle of twist of end A with respect to C. Take G = 75 GPa.

The ends and gears connected to the steel shaft (G = 75 GPa) aresubject to the torques shown. Determine the torsional angle of end B with respect to A.The shaft has a diameter of 40 mm.

# Chapter 5 Solutions

Mechanics of Materials

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Ch. 5.3 - Prob. 3PCh. 5.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 5.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 5.3 - The link acts as part of the elevator control for...Ch. 5.3 - The assembly consists of two sections of...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 15...Ch. 5.3 - Prob. 20PCh. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - If the tube is made from a material having an...Ch. 5.3 - Prob. 29PCh. 5.3 - The motor delivers 50 hp while turning at a...Ch. 5.3 - The solid steel shaft AC has a diameter of 25 mm...Ch. 5.3 - Prob. 35PCh. 5.4 - The 60 mm-diameter steel shaft is subjected to the...Ch. 5.4 - Prob. 10FPCh. 5.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 5.4 - A series of gears are mounted on the...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The propellers of a ship are connected to an A-36...Ch. 5.4 - Show that the maximum shear strain in the shaft is...Ch. 5.4 - Determine the angle of twist of end B with respect...Ch. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Determine the angle of twist of the end A.Ch. 5.4 - The hydrofoil boat has an A992 steel propeller...Ch. 5.4 - Also, calculate the absolute maximum shear stress...Ch. 5.4 - If a torque of T = 50 N m is applied to the bolt...Ch. 5.4 - If a torque of T= 50N m is applied to the bolt...Ch. 5.4 - If the motor delivers 4 MW of power to the shaft...Ch. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.5 - Gst = 75 GPa.Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - It is fixed at its ends and subjected to a torque...Ch. 5.5 - 5–89. Determine the absolute maximum shear stress...Ch. 5.7 - If the yield stress for brass is Y = 205 MPa,...Ch. 5.7 - By what percentage is the shaft of circular cross...Ch. 5.7 - Prob. 97PCh. 5.7 - Also, find the angle of twist of end B. The shaft...Ch. 5.7 - Also, find the corresponding angle of twist at end...Ch. 5.7 - Prob. 110PCh. 5.7 - Determine the average shear stress in the tube if...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - Prob. 114PCh. 5.7 - Prob. 115PCh. 5.7 - Prob. 119PCh. 5.10 - Prob. 121PCh. 5.10 - If the radius of the fillet weld connecting the...Ch. 5.10 - Prob. 125PCh. 5.10 - Determine the radius of the elastic core produced...Ch. 5.10 - Prob. 128PCh. 5.10 - Determine the torque T needed to form an elastic...Ch. 5.10 - Determine the torque applied to the shaft.Ch. 5.10 - Prob. 131PCh. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - Determine the applied torque T, which subjects the...Ch. 5.10 - Determine the radius of its elastic core if it is...Ch. 5.10 - Plot the shear-stress distribution acting along a...Ch. 5.10 - If the material obeys a shear stress-strain...Ch. 5.10 - It is made of an elastic perfectly plastic...Ch. 5.10 - Prob. 139PCh. 5.10 - Prob. 140PCh. 5.10 - Prob. 142PCh. 5.10 - Prob. 143PCh. 5 - The shaft is made of A992 steel and has an...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - Determine the shear stress at the mean radius p =...Ch. 5 - If the thickness of its 2014-T6-aluminum skin is...Ch. 5 - Determine which shaft geometry will resist the...Ch. 5 - If couple forces P = 3 kip are applied to the...Ch. 5 - If the allowable shear stress for the aluminum is...Ch. 5 - Determine the angle of twist of its end A if it is...Ch. 5 - This motion is caused by the unequal belt tensions...

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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions

- The 30-mm-diameter A-36 steel shaft is subjected to the torques shown. Determine the angle of twist of the end B. 30 N-m 200 mm B 600 mm 20 N-m 800 mm 80 N-m
*arrow_forward*The 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.*arrow_forward*The 103-mm-diameter steel shaft is subjected to the torques shown. T1 = 12 kN-m, T2 = 2 kN-m, T3 = 5 kN-m. Determine the angle of twist (degrees) of the end B. Use L1 = 0.55 m., L2 = 0.85 m., L3 = 0.81 m. Shear modulus = 72 GPa.*arrow_forward* - The compound shaft carries the two torques shown. The shear moduli are 28 GPa for aluminum, 83 GPa for steel, and 35 Gpa for bronze. If T = 1168.7 Nm, U = 4515 Nm, x = 3.01 m, y = 2.36 m, z = 1.35 m, d = 90 mm, and e = 83 mm, find the angle of rotation of the free end of the shaft. Round off the final answer to two decimal places. U T Aluminum Steel Bronze
*arrow_forward*The torque of 100 kip - ft is applied in the 16-ft-long hollow steel shaft. Note that the inner diameter of the shaft is two-thirds of its outer diameter D. If the inner diameter is 8 inches, find the angle of twist of the shaft. Use G = 12 x 10^6 psi for steel.*arrow_forward*A tapered, wrought iron shaft of length 5 ft, has 2 inch diameter at the fixed end and 0.8 inch diameter at the free end. Determine the angle of twist of the shaft, if it carries a torque, T = 2000 lb-in at the free end. Use G = 10^7 psi for wrought iron.*arrow_forward* - Determine the maximum torque that can be applied to the shaft, given that the maximum angle of twist is 0.0225 rad. Neglect bending
*arrow_forward*The 63-mm diameter shaft is subjected to the torques as shown. Determine the angle of twist (in degree) of end A with respect to C. G= 33 GPa C 400 mm B 3 kN-m 600 mm 2 kN-m Do not include units in final answer. Answer in 3 decimal places.*arrow_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_forward* - PROBLEM 1. The shafts are made of A-36 steel and both have 100 mm diameter. If a torque of 60 kN.m is applied to end E and 25 kN.m to the D gear as shown in the figure, determine the angle of twist of the section at E of the DE shaft. 0.75 m 0.75 m A B 150 mm 25 kN-m 300 mm 60 kN.m 1.25 m E
*arrow_forward*PROBLEM 1. The shafts are made of A-36 steel and both have 100 mm diameter. If a torque of 60 kN.m is applied to end E and 25 kN.m to the D gear as shown in the figure, determine the angle of twist of the section at E of the DE shaft. 0.75 m 0.75 m 150 mm 25 kN-m 300 mm 60 kN.m 1.25 m E*arrow_forward*The 54-mm diameter shaft is subjected to the torques as shown. Determine the angle of twist (in degree) of end A with respect to C. G= 36 GPa 400 mm B 3 kN-m 600 mm 2 kN-m Do not include units in final answer. Answer in 3 decimal places.*arrow_forward*

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