APPLIED STATICS & STRENGTH OF MATERIALS
null Edition
ISBN: 9781323905210
Author: Limbrunner
Publisher: PEARSON C
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Chapter 12, Problem 12.12P
Calculate the angle of twist
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A shaft 100mm in diameter and 3 m long, with built-in ends, is subjected to a clockwise torque of 4 kn-m applied at 1 m from left end, and another clockwise torque of 16 kN-m applied 2m from the left end. Compute the maximum shearing stress developed in each segment of the shaft.
A solid shaft in a rolling mill transmits 30 hp at 100 rpm. Find the diameter in mm of the shaft so as not to exceed a shearing stress of 42 MPa and an angle of twist of more than 5 degrees in a length of 3 meters. G = 83 GPa
A solid circular shaft is subjected to a torque of 21,334 in-lb. Calculate the diameter required if the allowable twist is 1.7° per foot, and the material is steel alloy which has a modulus of rigidity of 12,000,000 psi.
Chapter 12 Solutions
APPLIED STATICS & STRENGTH OF MATERIALS
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 solid shaft 50 mm in diameter is subject to the torques applied in thegears. Determine the maximum shear stress on the shaft.arrow_forwardA 2-metre long and 40 mm diameter aluminium shaft is to be replaced by a hollow steel shaft of the same length and the same outside diameter with the same angle of twist over the total length. Find inside diameter of the hollow shaft. Take the modulus of rigidity of the steel thrice of that of aluminium.arrow_forwardFind the torsional shear stress on a 2 inch diameter shaft if it is subjected to a torque of 561 in-lb.arrow_forward
- A hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required to tranmit a power of 60kW at a speed of 2950 rpm if the modulus of rigidity is 79.5GPa calculate the angle of twist in degreesarrow_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_forwardDetermine the minimum diameter that can be used for a solid circular steel shaft which is limited to an allowable shear stress of 70 MPa and a maximum angle of twist of 1.5o (degrees) per meter length. Applied maximum torque is 25 KN-m and the overall shaft length is 1.25 meters. Shear modulus = G= 80 GPa Note: When using torsion stress formulas, you must convert the angle of twist from degrees to radians.arrow_forward
- Need in 1 hour please, thank u! If a twisting moment of 10,000 lb-in is impressed upon a 1 and 3/4 inch diameter shaft, what is the maximum shearing stress developed? Also, what is the angle of twist in a 4 ft. length of the shaft in radians? The material is steel for which G = 12x106 lb/in2. Assume entirely elastic action.arrow_forwardA solid steel shaft must not twist through more than 3° in a 6-m length whensubjected to a torque of 12 kN • m. (a) Find the diameter of the smallest shaft that can be used. (b) What is the maximum shear stress in the shaft of this diameter? Use G = 83 GPa for steel.arrow_forwardA solid circular shaft 2.5 m long and 75 mm in diameter is subjected to torsional moment. Use G=78 GPa. Calculate the maximum shearing stress on the shaft due to a 3 kN-m torque at its free endarrow_forward
- A steel shaft 8 ft long that has a diameter of 3 inches is subjected to a torque of 27 kip ft. Determine the angle of twist in radian. Use G = 12 x 10^6 psi.arrow_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_forwardcomplete solution A solid steel shaft must not twist through more than 30 in a 6-m length whented to a torque of 12 kN • m. (a) Find the diameter of the smallest shaft thatcan be used. (b) What is the maximum shear stress in the shaft of this diameter? UseG = 83 GPa for steel.arrow_forward
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