Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 12, Problem 12.36SP
Compute the maximum shear stress in the circular steel shaft shown if the shaft is subjected to the torques indicated. The shaft is solid and 2 in. in diameter for 21 in. of its length and is hollow with an outside diameter of 2 in. and an inside diameter of 1 in. for 21 in. of its length, as shown.
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When a solid steel shaft is subjected to a torque of 45,000 in-lbs, the maximum shear stress is 8,000 psi. Find the diameter of the shaft and compute the angle of twist in a length of 5 feet.
2. A composite shaft is made of slipping a bronze tube of 3-in. outer diameter and 2-in. inner diameter over a solid steel
shaft of the same length and 2-in. diameter. The two components are fastened rigidly together at their ends. What is
the largest torque that can be carried by the composite shaft if the working shear stresses are 10 ksi for bronze and
14 ksi for the steel? If the hollow tube is made out of steel and the solid shaft is made out of bronze, what is the
largest torque that can be carried by the composite shaft if the same working shear stresses are applied? For bronze,
G = 6 x 10° psi, and for steel, G = 12 x 10°.
For the steel shaft shown in Fig.
Determine the maximum torque transmitted by any
transverse cross section of the shaft.
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E.
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Chapter 12 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 12 - Determine the internal resisting torque in the...Ch. 12 - Determine the internal resisting torque in the...Ch. 12 - Calculate the maximum shear stress developed in a...Ch. 12 - Calculate the allowable torque for a hollow steel...Ch. 12 - Calculate the allowable torque that may be applied...Ch. 12 - A hollow circular steel shaft has a 100-mm outside...Ch. 12 - Design a solid circular steel shaft to transmit an...Ch. 12 - Calculate the shear stresses at the outer and...Ch. 12 - A hollow shaft is produced by boring a...Ch. 12 - Pulleys C and D are attached to shaft AB, as...
Ch. 12 - Calculate the angle of twist a 3-in-diameter...Ch. 12 - Calculate the angle of twist a 65-mm-diameter...Ch. 12 - Calculate the angle of twist a 4-in.-diameter...Ch. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - A solid steel shaft is to resist a torque of 9000...Ch. 12 - A hollow steel shaft has a 50-mm outside diameter...Ch. 12 - If the shaft of Problem 12.17 were solid, with the...Ch. 12 - An automobile engine develops 90 hp at 3500 rpm....Ch. 12 - Calculate the speed (rpm) at which a...Ch. 12 - Select the diameter of a solid circular steel...Ch. 12 - Select the diameter for a hollow steel shaft that...Ch. 12 - A 6-ft-long solid steel shaft with a diameter of 4...Ch. 12 - The outside and inside diameters of a hollow steel...Ch. 12 - Calculate the maximum shear stress developed in a...Ch. 12 - Write a program that will calculate the allowable...Ch. 12 - Write a program that will generate a table of...Ch. 12 - Rework the program of Problem 12.27 using SI...Ch. 12 - Write a program that will generate a table of...Ch. 12 - Compute the maximum shear stress in the hollow...Ch. 12 - Calculate the allowable torque that may be applied...Ch. 12 - Design a hollow steel shaft to transmit a torque...Ch. 12 - A 32-in.-long solid steel circular shaft, 3 in. in...Ch. 12 - The 65-mm-diameter solid shaft shown is subjected...Ch. 12 - Rework Problem 12.34, changing the diameter of...Ch. 12 - Compute the maximum shear stress in the circular...Ch. 12 - Determine the allowable torque a hollow steel...Ch. 12 - A 1.00-m-long steel wire, 4 mm in diameter, is...Ch. 12 - Select the outside and inside diameters for a...Ch. 12 - A solid aluminum shaft, 6 ft in length, is to...Ch. 12 - A 25-mm-diameter solid shaft with an allowable...Ch. 12 - Compute a. the maximum shear stress developed in a...Ch. 12 - What horsepower can a solid steel shaft 6 in. in...Ch. 12 - Calculate the maximum power that may be...Ch. 12 - A small ski lift has a main cable driving wheel 11...Ch. 12 - A 32-mm-diameter solid shaft transmits 100 kW of...Ch. 12 - A solid steel shaft is to transmit power of 58 kW...Ch. 12 - Select the diameter for a solid steel shaft that...Ch. 12 - A solid steel shaft is to transmit 100 hp at a...Ch. 12 - Two shafts-one a hollow steel shaft with an...Ch. 12 - A 112 -in.-diameter solid steel shaft is 40 ft in...Ch. 12 - A solid steel shaft is to transmit 120 hp. The...
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- For the steel shaft shown in Fig. Determine the maximum torque transmitted by any transverse cross section of the shaft. 30 kN-m 15 kN-m 5 kN-m B 10 kN-m 40 kN-marrow_forwardDetermine the distribution of shear stress in the following circular shafts that are subject to a maximum torque of 7.5 Nm by calculating the polar second moment of area.arrow_forwardA solid shaft 50 mm in diameter is subject to the torques applied in thegears. Determine the maximum shear stress on the shaft.arrow_forward
- Design the outside and inside diameters for a hollow stell shaft subjected to a torque of 1,000,000 in-lb. The maximum shear stress developed in the shaft is not to exceed 8,000 psi. The inside diameter is to be 2/3 of the outside diameter. Calculate the angle of twist in degrees for a 14 foot length of this shaft. Answer: D(outside) = 9.259 inches, D(inside) = 6.176 inches, angle of twist= 1.39 degrees I'm unsure of how to solve this problem. Could someone help me walk through the process step-by-step? Thanks in advance.arrow_forward2. If the solid shaft is made from a red brass alloy having an allowable shear stress of Tallow = 4 ksi, determine the maximum allowable torque T that can be applied at B. (please note that the problem is statically indeterminate!) 2 ft 4 in. 2 in. T 2 in. 4 ftarrow_forwardFind the torsional shear stress on a 2 inch diameter shaft if it is subjected to a torque of 561 in-lb.arrow_forward
- The solid aluminum shaft ABCD carries the three torques shown.Determine:(a) the smallest safe diameter of the shaft if the allowable shear stress is 15 ksi.(b) Compute the angle of rotation of end A of the shaft using G = 4 x 10^6 ???.arrow_forwardDetermine the allowable torque a hollow steel shaft can transmit if the outside diameter is 4 inches, and the inside diameter is 3 inches. The allowable shear stress is 10,000 psi. Compute the angle of twist per foot of length. Answer = 85,900 in-lbs I'm unsure of how to solve this problem. Could you please help me solve for the answer step-by-step? Thank you in advance.arrow_forwardA hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required to tranmit a power of 60kW at a speed of 2950 rpm if the modulus of rigidity is 79.5GPa calculate the angle of twist in degreesarrow_forward
- The composite shaft below, consists of three sections, a tubular indication welded, through flanges Aand B, two 1” diameter bars. Neglect the thickness of the flanges and determine the angle of twist of the endC from shaft to end D. Shaft 0 is relative to a torque of lb × ft. The A-36 material.arrow_forward1. 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 mmarrow_forwardFor the steel shaft shown in Fig. Determine the torque transmitted by transverse cross sections at points A, B, and C of the shaft. 150 ft-lb 100 ft-lb 300 ft-lbarrow_forward
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