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 12.25P
Calculate the maximum shear stress developed in a
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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.
A solid steel shaft is to transmit 120hp. The allowable shear stress is 8,000 psi. Calculate the diameter if the shaft speed is 3000 rpm.
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.
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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- Compute the torsional shear stress that would be produced in a solid circular shaft having a diameter of 20 mm whe subjected to a torque of 280 N m.arrow_forwardProblem 2: Determine the minimal value of a radius of the circular-solid shaft in problem 1 such that the maximum shear stress due to the torsion is smaller than 1.0 MPaarrow_forwardCompute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected to a torque of 800N-m.arrow_forward
- Compute the torsional shear stress in a circular shaft with diameter of 50mm that is subjected to a torque of 800Nm.arrow_forwardCalculate the maximum allowable torque (in-lbs). A solid steel shaft is made from AISI 1045 steel, with a 9.0" diameter and length of 44". The maximum allowable shear stress on the material is 6200 psi. Based on the answer above, what is the required RPM if this shaft needs to transmit 4500 HP at the maximum allowable torque?arrow_forwardDesign a hallow shaft (Diameter and length) that develops 80 kN of power while rotating at a speed of 4000 rpm. The design constrains are as under: The angle of twist not to exceed 0.200 Shear stress is not to exceed 480 MN/m? The 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/m?.arrow_forward
- Calculate the maximum torsional shear stress that would develop in a solid circular shaft, having a diameter of 32 mm, if it is transmitting 95 kW while rotating at 525 rpm. (●_^) hope for your help sooonest!arrow_forwardAn engine develops 5.0 MW at 115 RPM and the ratio of maximum to mean torques is 1.3 to 1. Calculate the diameter (in mm) of the main shaft coupled direct to the engine to transmit the power 1. а. allowing a stress of 50 MPa and assuming the shaft to be solid. b. Calculate the diameter (in mm) of the main shaft coupled direct to the engine to transmit the power allowing a stress of 50 MPa and assuming the hollow with a bore equal to half the outside diameter. For Solid Shaft:T: = D't For Hollow Shaft:T= 16 16D Tm = P/warrow_forwardA hollow shaft must transmit 1400 kW at 180 rpm. The outside diameter must be 1.6 times the inside diameter. The maximum torque is 30% more than the mean torque. Calculate: 1. The diameters of the hollow shaft if the allowable stress is 200 MPa. 2. The diameter of the solid shaft if the allowable stress is 200 MPa.arrow_forward
- A shaft is designed to transmit power of 100 kW at 180 rpm. The allowable shear stress is 50MPa and modulus of rigidity of 80 GPa. The angle of twist is not to exceed to 1° in 4-meter length A. Calculate the diameter of the shaft in inches. B.If the shaft in A is to be fitted to a hub with material SAE 0105 and fit classification of FN3, what will be the maximum and minimum stresses based on the interference of metal.arrow_forwardAsaparrow_forwardA solid 1.2 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant. The torque delivered by the shaft is 3200 lb·in. What horsepower must be delivered to the shaft to maintain a shaft speed of 690 rpm? What is the maximum shear stress developed in the shaft?arrow_forward
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