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 12.3P
Calculate the maximum shear stress developed in a
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Determine 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.
A 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?
What is the minimum diameter of a solid steel shaft that will not twist through more than 3˚ in a6-m length when subjected to a torque of 15 KN-m? What maximum shearing stress isdeveloped? Use G=85 GPa.
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
- Design a hollow circular steel shaft to transmit an applied torque of 360,000 in-lbs. Theallowable shear stress is 6,000 psi and the inside diameter is to be 0.6 times the outsidediameter.arrow_forwardA solid shaft having a diameter of 100mm has an allowable shearing stress of 80 MPa. Determine the maximum torque in KN-m that the shaft can carry without exceeding the allowable shearing stress.arrow_forwardA 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.arrow_forward
- A shaft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer diameter of the shaft is 0.1 m and its wall thickness is 10 mm, what would be the minimum diameter of a solid steel shaft needed if it would be subjected to the maximum shear stress of the hollow shaft?arrow_forwardA hollow shaft for a rotary compressor is to be designed to transmit a maximum of torque of 4750 N-m. The shear stress in shaft, if the ratio of the inside to the outside diameter is 0.4arrow_forwardA circular steel shaft of diameter 30 mm is subjected to a torque of 60 N-m. Calculate the angle of twist if the length of the shaft is 20 m.arrow_forward
- What is the minimum diameter of a solid steel shaft that will not twist through more than 3° in a 6 m. length when subjected to a torque of 14 kN-m? Use G = 83 kN/ m2. Convert your answers to mm. Based on the problem above, what is the maximum shearing stress developed? Use G = 83 kN/ m2. Convert your answers to MPa.arrow_forwardCompute the torsional shear stress in a circular shaftwith a diameter of 50 mm that is subjected to a torqueof 800 Nmarrow_forwardA solid circular shaft is required to transmit 200 kW while turning at 90 rpm (rev/min). The allowable shearing stress is 42 MPa. Find the required shaft diameter.arrow_forward
- The transmitted torque of a hollow shaft is 3400 N-m at a shearing stress of 55 MPa. If the outside diameter is 1.25 times that of the inside diameter, what is the inside diameter, in mm?arrow_forwardA hollow brass alloy shaft with an outside radius of 50-mm and a wall thickness of 10-mm is subjected to a torque of T = 5.5 kN-m. Determine the minimum required diameter in mm of a solid steel shaft for which the maximum shear stress is the same?arrow_forwardCalculate the maximum permissible torque on a hollow shaft if the maximum allowable shearing stress is 83 MPa. D=75mm and d=60mm. A)4788 Nm B)4316 Nm C)4059 Nm D)4532 Nmarrow_forward
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