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 12.13P
Calculate the angle of twist
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A solid circular shaft is subjected to a torque of 21,334 in-lb. Calculate the diameter required if the allowable twist is 1.7° per foot, and the material is steel alloy which has a modulus of rigidity of 12,000,000 psi.
A circular shaft with diameter 50mm and its length is 850mm long and is made of steel,The shaft is subjected to a torque of 800Nm. Compute the angle of twist of one end inrelation to the other.
Determine 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.
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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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
- A circular shaft with 50mm and its lenght is 850mm long and is made of steel, the shaft is subjected to a torque of 800Nm. Compute the angle of twist of one end in relation to the other.arrow_forwardA hollow shaft of outer diameter 40 mm and inner diameter of 20 mm is to be replaced by a solid shaft to trandmit the same torque at the same maximum stress. What should be the diameter of the solid shaft?arrow_forwardWhat is the minimum diameter of a solid steel shaft that will not twist through more than 4o in a 9 m length when subjected to a torque of 11 kN.m ? if G = 83 GPaarrow_forward
- A 39 in. tubular shaft is in torsion under a torque of 34 lb-in.. Its cross-section shown below as diameter d1 = 3.2 in., diameter d2 = 1.4 in. If it is a soft tube, and G = 315 psi, calculate the angle of twist of the shaft: _____ O (degrees). Pay attention to units, and calculate your answer to one decimal place.arrow_forwardWhat is the minimum diameter of a solid steel shaft that will not twist through more than 3° (degrees) in a 6 m. length when subjected to a torque of 14 kN-m? Use G = 83 kN/ m^2. Convert your answers to mm.arrow_forwardA solid shaft 2 inch in diameter is subjected into two torques .If the total angle of twist is eight degrees, find the maximum shear stress at 3ft segment in psi?arrow_forward
- 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.arrow_forwardA motor drives 50 hp to a shafting 1 1/2 in. diameter and 3 ft. long. If the maximum shearing stress produced by torsion is 39,628 psi and the total angle of twist in the shaft is 9.080, calculate the torque (based on angle of twist and shearing) and angular speed in rpm. G = 12 x 106 psi.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
- Calculate the maximum and minimum shear stress in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 N-m.arrow_forwardin a solid circular shaft under torsion use the diagram below to draw and explain a) what the angle of twist is? b)what the shear strain is?arrow_forwardCompute for the normal shear stress in ksi for a 3.1 inch diameter shaft that is subjected to a torque of 500ft lbf.arrow_forward
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