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 12.7P
Design a solid circular steel shaft to transmit an applied torque of 25,000 lb-ft. The allowable shear stress is 10,000 psi.
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Compute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected
to a torque of 800N-m.
Design 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.
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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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
- 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 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_forwardA hollow shaft has an inner diameter of 0.035m and outer diameter of 0.06m. Compute for the torqueif the shear stress is not to exceed120 MPa in N-m.arrow_forward
- 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_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 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_forward
- 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.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_forwardDesign a rigid flange coupling to transmit a torque of 228N-m between two coaxial shafts. The shaft is made of alloy steel, flanges out of cast iron and bolts out of steel. Four bolts are used to couple the flanges. The shafts are keyed to the flange hub. The permissible stresses are given below: Shear stress on shaft =100MPa Bearing or crushing stress on shaft =250MPa Shear stress on keys =100MPa Bearing stress on keys = 250MPa Shearing stress on cast iron = 200Mpa Shear stress on bolts =100MPa > Provide FBDarrow_forward
- 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.arrow_forwardinclude FBD and complete solutionarrow_forwardCalculate 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_forward
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