APPLIED STATICS & STRENGTH OF MATERIALS
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ISBN: 9781323905210
Author: Limbrunner
Publisher: PEARSON C
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Chapter 12, Problem 12.27CP
Write a program that will generate a table of required diameters (to
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Compute the torsional shear stress in a circular shaftwith a diameter of 50 mm that is subjected to a torqueof 800 Nm
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.
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.
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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- What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?arrow_forwardA motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.arrow_forwardA square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.arrow_forward
- Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.arrow_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_forwardAnswer the following problem. Show your complete solution. Use 4 decimal places. Calculate the diameter of the shaft required to transmit 45 kw at 120 rpm. The maximum torque is likely to exceed the mean by 30% for a maximum permissible shear stress of 55. Calculate also the angle of twist for a length of 2m.arrow_forward
- Calculate 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 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.arrow_forwardA shaft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer diameter of the shaft is 0.1 m and its wall thickness is 10 mm, what would be the minimum diameter of a solid steel shaft needed if it would be subjected to the maximum shear stress of the hollow shaft?arrow_forward
- A) Define the following terms; I)A propeller shaft for a small machine is made of a solid steel bar 104mm in diameter.The allowable stress in shear is 48MPa, and the allowable rate of twist is 2.0° in 3.5meters.Assuming that the shear modulus of elasticity is G=80GPa, calculate the maximum torque that can be applied to the shaft.arrow_forward(5) A 76mm solid shaft is to be replaced with a hollow shaft of the same torsional strength. Determine the inside diameter and the percentage weight savings if the outside diameter of the hollow shaft is 100mm.arrow_forwardA 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_forward
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