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 12.48SP
Select the diameter for a solid steel shaft that is to transmit 60 hp at 850 rpm without exceeding an allowable shear stress of 7000 psi.
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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 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.
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.
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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- The motor A delivers 3000 hp to the shaft at 1500 rev/min, of which 1000 hp is removed by gear B and 2000 hp is removed by gear C. 1.) Determine the maximum shear stress in the shaft in ksi. (Answer in 2 decimal places) 2.) Determine the angle of twist in degrees of end D relative to end A. Use G = 12 x 106 psi for steel, and assume that friction at bearing D is negligible. (Answer in 3 decimal places)arrow_forwardThe driveshaft of an automobille is being designed to transmit 234 kw at 3167 rpm. Determine the minimum diameter (in mm) required for a solid steel shaft if the allowable shear stress in the shaft is not to exceed 44 MPa. Note: Do not include units in your answer Answer:arrow_forwardA 1.5-inch Monel shaft is used in a torsional application. Based on the operating speed of 100 rpm and factor of safety of 12. How much horsepower can it transmit? Assume the shearing stress is ¾ of the ultimate tensile stress which is 100 ksi.arrow_forward
- A flat key is to be designed for 100 mm diameter shaft which will transmit 200kw at 300 rpm . If the allowable shearing stress is 300 Mpa and key width is 10 mm ,determine the length of key.arrow_forwardCompute the torsional shear stress in a hollow shaft with an outside diameter of 40 mm and an inside diameter of 30 mm when transmitting 28 kilowatts(kW) of power at a speed of 45 rad/s.arrow_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
- 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_forwardFigure 1 is presented the solid shaft AB rotates at 650 rpm and transmits 30 kW from the motor machine tools connected to gears F and G. Assuming that, 10 kW is taken off at gear F and 20 k taken off at gear G, knowing that allowable torsional shear stress is equal to (65 plus last digit of student ID) MPa. Design the smallest permissible diameter of shaft AB. Figure 1 150 mm 225 mm 905 mm 150 mm 60 mm 100 mm D. 60 mm B.arrow_forwardA 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_forward
- What power in kW a 10-mm diameter solid shaft at 30 rev/sec can transmit if the allowable torsional stress is 40 Mpa.arrow_forwardDetermine the torque in ft-Ib that can be applied to a 1-in diameter circular shaft if the shearing stress is not to exceed 8000 psi.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_forward
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