J = " (r* – r↑) (Tubular shaft)T.LØ =G.J"ז-T%3D(Solid shaft)22. The steel shaft is subjected to the torques shown in the figure below. Determine the angle of twist of the overalllength of the shaft. The diameter and length of each shaft step are indicated in the figure. Take G = 75 GPa. (19 pts)80 mm60 mm4 m3 m200N-m300N m

angle of twist of the overall length of the shaft,ϕAC=ϕAB+ϕBC

J = = (r* – r^) (Tubular shaft) Ø = Tr %3D J = (Solid shaft) 2. The steel shaft is subjected to the torques shown in the figure below. Determine the angle of twist of the length of the shaft. The diameter and length of each shaft step are indicated in the figure. Take G= 75 GPa. 80 mm 60 mm 4 m 3 m 200N-m 300N m

J = = (r* – r^) (Tubular shaft) Ø = Tr %3D J = (Solid shaft) 2. The steel shaft is subjected to the torques shown in the figure below. Determine the angle of twist of the length of the shaft. The diameter and length of each shaft step are indicated in the figure. Take G= 75 GPa. 80 mm 60 mm 4 m 3 m 200N-m 300N m

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 3.4.5P: A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions...

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 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 solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
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).
The 6061-T6 aluminum shaft shown in Figure has a cross-sectional area in the shape of an equilateral triangle. Determine the largest torque T that can be applied to the end of the shaft if the allowable shear stress is tallow= 8 ksi and the angle of twist at its end is restricted to fallow = 0.02 rad. How much torque can be applied to a shaft of circular cross section made from the same amount of material?
A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.
The compound shaft carries the two torques shown. The shear moduli are 28 GPa for aluminum, 83 GPa for steel, and 35 Gpa for bronze. If T = 1168.7 Nm, U = 4515 Nm, x = 3.01 m, y = 2.36 m, z = 1.35 m, d = 90 mm, and e = 83 mm, find the angle of rotation of the free end of the shaft. Round off the final answer to two decimal places. U T Aluminum Steel Bronze
What torque, T, should be applied to the end of the steel shaft shown in order to produce a twist of 1.5 degrees? Use G = 80 GPa for the shear modulus.
A shaft made from acrylic is subjected to the three torques indicated below. The acrylic has a shear modulus of 1.7 GPa. Determine: a. The twist at the end D if the diameter if the shaft is 100 mm. b. The minimum shaft diameter if Tallow = 10 MPa 200 N•m A 800 N•m 300 mm B 400 N•m 600 mm C 600 mm
A tapered, wrought iron shaft of length 5 ft, has 2 inch diameter at the fixed end and 0.8 inch diameter at the free end. Determine the angle of twist of the shaft, if it carries a torque, T = 2000 lb-in at the free end. Use G = 10^7 psi for wrought iron.
1. The 2.0 in diameter shaft shown in the figure below is supported by two bearings and is subjected to three torques. Determine the maximum shear stress located at section a-a of the shaft. 55 kip-in. 42.5 kip-in. 12.5 kip-in. a
A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 212 mm and a wall thickness of 9 mm. Segment (2) has an outside diameter of 139 mm and a wall thickness of 11 mm. The shaft is subjected to torques TB = 47 kN-m and Tc = 24 kN-m, which act in the directions shown. Determine the maximum shear stress magnitudes 7₁, 72 in each shaft segment. Answers: T1 = i T2 = i (1) (2) MPa. MPa.