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 12.41SP
A 25-mm-diameter solid shaft with an allowable shear stress of 60 MPa rotates at a speed of 15 r/s. Determine the maximum power that can be transmitted by this shaft.
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A solid shaft (100 mm diameter) transmits 75 kW at 150 rpm.
Determine the value of maximum shear stress set up in the
shaft and the angle of twist per metre of the shaft length if
G=80 GN/m².
Determine the diameters of a hollow shaft which has to transmit 40 kW at 300rev/min. If the shear stress is limited to 30 MPa. Assume the maximum torque to be 12% greater than the mean torque and that the shaft diameters are in the ratio of 1 to 1, 5.
A solid shaft is to transmit 22kW at 110 rpm. Determine the diameter of the shaft if the shearing stress is not exceed 35 MPa and the angle of twist is limited to 5 degrees in a length of 4m. Use G=86 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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- A 2-in diameter steel shaft rotates at 240 rpm. If the shearing stress is limited to 12 ksi, determine the maximum horsepower that can be transmitted.arrow_forwardA solid shaft is transmitting 1 MW at 240 r.p.m. Determine the diameter of the shaft if the maximum torque transmitted exceeds the mean torque by 20%. Take the maximum allowable shear stress as 60 MPa.arrow_forwardA solid shaft of 120 mm diameter transmits 80Kw power at 160 rpm. Taking modulus of rigidity of 80 GPa. Determine the maximum shear stress induced 14.07 N/mm² 32.81 N/mm² 16.28 N/mm² O 21.74 N/mm²arrow_forward
- Determine the diameter of a solid steel shaft which will transmit 112.5 kW at 200 rpm. Also determine the length of the shaft if the twist must not exceed 1.5o over the entire length. The maximum shear stress is limited to 55 N/mm2. Take the value of modulus of rigidity = 8 x 104 N/mm2.arrow_forwardA solid shaft is to transmits 22 KW at 110 rpm. Determine the diameter of the shaft if the shearing stress is not to exceed 35 MPa and the angle of twist is limited to 5° in a length of 4m. Use G=86 Geaarrow_forward3. A solid circular shaft is 1.8 m and is made of steel with G = 70 GPa. When rotating at w = 70 rad/s, it transmits 28 kW of power from engine A to generator B. As the design engineer, you are asked to: (a) Determine the shaft's smallest allowable radius if the allowable shear stress is T allow = 80 MPa. (b) Determine the shaft's smallest allowable radius If the allowable angle of twist is allow = 0.1 rad (in other words, the shaft is restricted not to twist more than 0.1 rad). (c) If both conditions (a) and (b) are required simultaneously, which radius will you select as the allowable radius. (In other words which condition controls the situation)? Briefly explain your answer. (1 kW = 1000 Watts) Barrow_forward
- Determine the maximum shearing stress (MPa) in a solid shaft of 60-mm diameter as it transmits 91 kW at a speed of 175 rpm.arrow_forwardfind the maximum shear stress induced in a solid circular shaft of diameter 150 mm when the shaft transmits 150 KW power at 150 RPM.arrow_forwarda solid shaft in a rolling mill transmits 20 kw at 2r/s. determine the diameter of the shaft if the shearing stress is not exceed to 40 Mpa and the angle of twist is limited to 6 in length of 3m. use G=83 gpa.arrow_forward
- 2. A solid shaft is to transmits 22 kW at 110 rpm. Determine the diameter of the shaft if the shearing stress is not to exceed 35 MPa and the angle of twist is limited to 5° in a length of 4m. Use G=86 GPa (20 pts)arrow_forwardA solid shaft in a rolling mill transmits 20 kW at 2 Hz. Determine the diameter of the shaft if the shearing stress isnot to exceed 40 MPa and the angle of twist is limited to 6° in a length of 3m. Use G = 83 GPa. Note: Round the diameter value to the safest 5-mm multiple.arrow_forwardA solid circular shaft of steel is transmitting 20 kW of power at 120 rpm. Determine the minimum diameter of the shaft if the angle of twist is limited to 5.5° in a length of 3.5 meters and the shear stress is not to exceed 45 MPa. Use G = 83 x 10° Pa.arrow_forward
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