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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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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- 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-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.arrow_forwardThe 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 Bronzearrow_forwardThe 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_forwardA 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 bendingarrow_forwardThe 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_forwardThe 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 Earrow_forwardPROBLEM 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 Earrow_forwardThe 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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