A hollow steel shaft with an outside diameter of 90 mm and a wall thickness of 10 mm is subjected to a pure torque of T-7,300 N-m. (a) Determine the maximum shear stress in the hollow shaft. (b) Determine the minimum diameter of a solid steel shaft for which the maximum shear stress is the same as in part (a) for the same torque T. Answers: (a) Tmax MPa mm (b) dmin i

A hollow steel shaft with an outside diameter of 90 mm and a wall thickness of 10 mm is subjected to a pure torque of T-7,300 N-m. (a) Determine the maximum shear stress in the hollow shaft. (b) Determine the minimum diameter of a solid steel shaft for which the maximum shear stress is the same as in part (a) for the same torque T. Answers: (a) Tmax MPa mm (b) dmin i

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

See similar textbooks

Similar questions

A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?
A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
A hollow circular steel shaft with an outside diameter of 2.569. and a wall thickness of 0.388 in. is subjected to a pure torque of 292 lb-ft. The shaft is 124 in. long. The shear modulus of the steel is G-12.000 ksi. Determine the magnitude of the angle of twist in the shaft. 1. T B
A hollow steel shaft with an outside diameter of 80 mm and a wall thickness of 11 mm is subjected to a pure torque of T = 5,200 N-m.(a) Determine the maximum shear stress in the hollow shaft.(b) Determine the minimum diameter of a solid steel shaft for which the maximum shear stress is the same as in part (a) for the same torque T.
Two designs for a shaft are being considered. Both have an outside diameter of 80 m and are 100 cm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of T N. m. the missing Torque (T) = 199.
Calculate 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.
Kindly solve step by step answer I need to learn. A hollow shaft is to transmit 300 kW at 80 r.p.m. If the shear stress is not to exceed 60 MN/mm² and internal diameter is 0.6 of the external diameter, find the external and internal diameters assuming that the maximum torque is 1.4 times the mean.
A compound steel (G= 70 GPa) shaft consists of a solid 59-mm-diameter segment (1) and a solid 39-mm- diameter segment (2). The allowable shear stress of the steel is 76 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to Pcs 4.6°. Assume ₁-0.6 m and £₂-1.0 m. Determine the magnitude of the largest torque Te that may be applied at C. Express your answer in N-m rounded to three significant digits. L₁ (1) B (2) L2 Tc C X
A hollow steel shaft with an outside diameter of 41 mm and a wall thickness of 9 mm is subjected to a pure torque of T = 6300 N-m. The shear modulus of the steel is G = 87 GPa. Determine: (a) the maximum shear stress T in the shaft. (b) the magnitude of the angle of twist o in a 2.4-m length of shaft. Answers: (a) = i MPа. (b) p = i
A round shaft, made of cold-finished AISI 1020 steel, is subjected to a variable torque whose maximum value is 7238 cm-kg. For N  5 on the Soderberg criterion, determine the diameter if (a) the torque is reversed, (b) the torque varies from zero to a maximum, (c) the torque varies from 3141 in-lb to maximum.