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 12.51SP
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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.
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.
Determine the minimum diameter that can be used for a solid circular steel shaft which is limited to an allowable shear stress of 70 MPa and a maximum angle of twist of 1.5o (degrees) per meter length. Applied maximum torque is 25 KN-m and the overall shaft length is 1.25 meters. Shear modulus = G= 80 GPa
Note: When using torsion stress formulas, you must convert the angle of twist from degrees to radians.
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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- 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_forwardDesign a hallow shaft (Diameter and length) that develops 80 kW of power while rotating at a speed of 4000 rpm. The design constrains are as under:The angle of twist not to exceed 0.200Shear stress is not to exceed 480 MN/m2The outer diameter is to be twice the inner diameter. The shaft length is to be three times the outer diameter. Modulus of rigidity = 79 GN/m2.arrow_forwardA solid 2.0 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant. The torque delivered by the shaft is 3300 Ib-in. What horsepower must be delivered to the shaft to maintain a shaft speed of 590 rpm? What is the maximum shear stress developed in the shaft? Answer: P = hp psi Save for Later Attempts: 0 of 1 used Submit Answerarrow_forward
- The internal diameter of a hollow shaft is 2/3 rd of its external diameter. Compare the strength and stiffness of the shaft with that of a solid shaft of the same material.arrow_forwardA solid 1.9 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant. The torque delivered by the shaft is 3500 lb-in. What horsepower must be delivered to the shaft to maintain a shaft speed of 520 rpm? What is the maximum shear stress developed in the shaft? Part 1 Convert the given shaft speed to units of rad/s. Answer: W= i rad/sarrow_forwardA solid 1.5 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant. The torque delivered by the shaft is 3500 lb-in. What horsepower must be delivered to the shaft to maintain a shaft speed of 670 rpm? What is the maximum shear stress developed in the shaft? Convert the given shaft speed to units of rad/s. Answer: W = i rad/sarrow_forward
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