tubular steel [G = 80 GPa] shaft is being designed to transmit 150 kW at 30 Hz. The maximum shear stress in the shaft must not exceed 80 MPa and the angle of twist is not to exceed 6° in a 4-m length. Determine the minimum permissible outside diameter if the ratio of the inside diameter to the outside diameter is 0.80.

tubular steel [G = 80 GPa] shaft is being designed to transmit 150 kW at 30 Hz. The maximum shear stress in the shaft must not exceed 80 MPa and the angle of twist is not to exceed 6° in a 4-m length. Determine the minimum permissible outside diameter if the ratio of the inside diameter to the outside diameter is 0.80.

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 3.7.8P: A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The...

See similar textbooks

Similar questions

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?
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
A tubular steel [G = 79 GPa] shaft with an outside diameter of D = 89 mm and a wall thickness of t = 4 mm must not twist more than 0.071 rad in a 5.4-m length. Determine the maximum power P that the shaft can transmit at 310 rpm.
A tubular aluminum alloy [G = 4,000 ksi] shaft is being designed to transmit 390 hp at 1,600 rpm. The maximum shear stress in the shaft must not exceed 6 ksi, and the angle of twist is not to exceed 4° in an 10-ft length. Determine the minimum permissible outside diameter if the inside diameter is to be 3/4 of the outside diameter. Answer: Dmin = i in.
A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is 1°. The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft is_
A steel propeller for a windmill transmits 5 kW at 87.9 rpm. If the allowable shear stress in the shaft must be limited to 81 MPa, determine the minimum diameter d required for a solid shaft. Answer: d = Save for Later mm. Attempts: 0 of 1 used Submit Answer
A solid steel shaft is stressed at 100 Mpa when twisted through 6 degrees. Compute the Diameter of the shaft and the Power it transmits at 25 Hz given the following data: Length of shaft = 15 metersG = 83 GPa
Design a suitable diameter for a circular shaft required to transmit 90 kW at 180 r.p.m. The shear stress in the shaft is not to exceed 70 MPa and the maximum torque exceeds the mean by 40%. Also find the angle of twist in a length of 2 metres. Take C= 90 GPa. [Ans. 80 mm; 2.116°]
A hollow shaft of 1m length is designed to transmit a power of 30kW at 630 rpm. The maximum permissible angle of twist in the shaft is 1degree. The inner diameter of the shaft is 0.6 times the outer diameter. The modulus of rigidity is 90 GPa. Determine the outside diameter of the shaft?
A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is 1º. The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. What is the outside diameter of the shaft?
A solid shaft transmits 1.7 kW of power at 4.4 Hz. What is the smallest safe diameter of the shaft if the shear stress is not to exceed 36 MPa?
The disc clutch of an automobile is carried on a 2-inch 6-splined shaft and not to slide under load. The nominal dimensions are as follows: b = 0.25 D; t = 0.075 D and d = 0.85 D. The hub length of 150 % of shaft diameter. Determine the total horsepower transmitted at 3,600 rpm, if the yield strength of the shaft is 1,400 psi