2. A compound shaft consisting of an aluminum segment and steel segment is acted upon by two torques as shown in figure. Determine the maximum permissible value of (T) subjected to the following conditions: 1) Maximum shear stress in steel is (100MPA). 2) Maximum shear stress in aluminum is (70MPA). 3) The angle of twist of free end is limited to (12°). (G-83GPA, GAI =28GPA). Al

2. A compound shaft consisting of an aluminum segment and steel segment is acted upon by two torques as shown in figure. Determine the maximum permissible value of (T) subjected to the following conditions: 1) Maximum shear stress in steel is (100MPA). 2) Maximum shear stress in aluminum is (70MPA). 3) The angle of twist of free end is limited to (12°). (G-83GPA, GAI =28GPA). Al

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 3.12.1P: A stepped shaft consisting of solid circular segments having diameters D1= 2.0 in, and D2= 2.4 in....

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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).
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A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (sec figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0) that may be applied at section C? Find (T0)max if the maximum angle of twist is limited to 0.55º. Let G = 10,600 ksi.
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