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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Textbook Question
Chapter 12, Problem 12.23P
A 6-ft-long solid steel shaft with a diameter of 4 in. transmits 250 hp at a speed of 250 rpm. Determine whether the following two requirements are satisfied:
a. The maximum shear stress is not to exceed 10,000 psi.
b. The angle of twist is not to exceed
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(a) A circular shaft used for transmission is 510mm in length and 50mm in external diameter. It
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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 composite shaft is made by slipping a bronze tube of 3-in. outer diameteran -in. inner diameter over a solid steel shaft of the same length and 2-in.-diameter. The two components are then fastened rigidly together at their ends. What is the largest torque that can be carried by the composite shaft if the working shear stresses are 8 ksi for bronze and 12 ksi for the steel? For bronze, G = 6 x 106 psi, and for steel, G = 12 x 106 psiarrow_forwardQUESTION 3 Determine the maximum shearing stress (MPa) in a solid shaft of 61-mm diameter as it transmits 92 kW at a speed of 144 rpm.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_forward
- Take time and show all the work which is required to solve. Handwritten acceptedarrow_forwardDetermine 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_forwardQ.1) Two torques are applied to the solid bronze ( G= 6500 ksi) shafts of a gear system shown below. The diameters of shafts AB and CD are 1.25 inch and 1.0 inch, respectively. The shaft CD ix fixed at D and the bearings at A, B, and C are frictionless. Determine the maximum shear stress in each of the shaft and the rotation of end A. 10 in. 30 in. 80 lb·ft A 40 lb ft 8 in. 10 in. 6 in. B 4 in. 12 in.arrow_forward
- Take time and show all the work , Kindly do not skip the step.arrow_forward3. Two solid 1.75 in.-diameter steel shafts are connected by the gears shown. The shaft lengths are L₁= 6 ft and L2 = 10 ft. Assume that the shear modulus of both shafts is G= 12,000 ksi and that the bearings shown allow free rotation of the shafts. If the torque applied at gear D is TD= 225 lb-ft, determine (a) the internal torques T₁ and 72 in the two shafts. (b) the angles of twist 1 and 2. (c) the rotation angles 3 and þc of gears B and G. (d) the rotation angle of gear D. 4₁ (1) 30 teeth 54 teeth B (2)arrow_forward9. I upvote! Thanks!arrow_forward
- 2) Determine the maximum torque that can be applied to a hollow circular steel shaft of 100mm outside diameter and 70mm inside diameter without exceeding a shearing stress of 60MPa or a twist of 0.5 deg./m. Use G= 83GPAarrow_forwardThe 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_forwardA composite shaft is comprised of an inner solid steel shaft 1/6 ft in diameter slipped over with a hollow bronze shaft of 1/4 ft outer dimater and 1/6 ft inner diameter and of the same length as the steel shaft. The two shafts are then fastened rigidly together at their ends. For steel, G = 12 × 106 psi, and for bronze, G = 6 × 106 psi. What torque can be applied to the composite shaft without exceeding a shearing stress of 12,000 psi in the steel or 8,000 psi in the bronze?arrow_forward
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