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 12.17P
A hollow steel shaft has a 50-mm outside diameter and a 40-mm inside diameter. The shaft is 2 m long. Compute the angle of twist when the maximum shear stress is 52 MPa.
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an aluminum shaft is 6ft. and has toruq of 500 lb-ft. the shear stress is 6500 psi and the angle of twist must not go over 3 1/2 degrees in the 6ft. pick the economical shaft size.
A steel shaft ABCD having a total length of 3.5 m consists of three lengths having different
sections as follows:
AB is hollow having outside and inside diameters of 100 mm and 62.5 mm respectively, and
BC and CD are solid. BC has a diameter of 100 mm and CD has a diameter of 87.5 mm. If the
angle of twist is the same for each section, Calculate the length of each section, l1, l2 and l3.
Analyse the value of the applied torque and the total angle of twist, if the maximum shear stress
in the hollow portion is PP MPa and shear modulus, G = QQ GPa.
PP=75MPA
Please refer appendix for PP and QQ values.
QQ=88GPA
в
C
D
62.5 mm
100 mm
100 mm
87.5 mm
13
3.5 m
Find the torsional shear stress on a 2 inch diameter shaft if it is subjected to a torque of 561 in-lb.
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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- Please help me out with this question. Correct answer will give upvote. A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further subjected to a torque of 10 kN-m. Calculate the maximum principal stress experienced on the shaft.arrow_forward1. A solid circular shaft transmits 75 kW power at 200 rpm. Calculate the diameter of the shaft and the maximum shear stress acting on it, if the twist in the shaft is not exceeding 1° in 2 m length of the shaft. Take modulus of rigidity as 102 GPa.arrow_forwardA 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.arrow_forward
- A steel shaft is to be manufactured either as a solid circular solid bar or as a circular tube. The shaft is required to transmit a torque of 1200N-m without exceeding an allowable shear stress of 40MPa or an allowable rate twist of 0.75deg/m. The shear modulus of steel is 78GPa. Compute the required diameter of the solid shaft & compute the required outer diameter of the hollow shaft if its thickness is 1/10 of its outer diameter.arrow_forwardA solid steel machine shaft with safe shearing stress of 7000 psi transmits a torque of 10,500 in-lb. A square key is used whose width is equal to one-fourth the shaft diameter and whose length is equal to 1.5 times the shaft diameter. Find the shearing stress in the key in psi.arrow_forwardDesign 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_forward
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