The shaft consists of a titanium alloy tube AB and a solid stainless steel shaft BC. Tube AB has a length of L, = 40 in., an outside diameter of d, = 1.75 in., and a wall thickness of f1 = 0.125 in. Shaft BC has a length of L2 = 50 in. and a diameter of d2 = 1.25 in. Use G= 6,500 ksi for the tube AB, and G=11,000 ksi for the shaft BC. The torque Tc = 290 Ib-ft acts at pulley C in the direction shown. Tc L2 B 1. Determine the maximum shear stress in the shaft BC. A) 7.56 ksi в) 18.1 ksi C) 10.5 ksi D) 9.07 ksi E) None of the Above

The shaft consists of a titanium alloy tube AB and a solid stainless steel shaft BC. Tube AB has a length of L, = 40 in., an outside diameter of d, = 1.75 in., and a wall thickness of f1 = 0.125 in. Shaft BC has a length of L2 = 50 in. and a diameter of d2 = 1.25 in. Use G= 6,500 ksi for the tube AB, and G=11,000 ksi for the shaft BC. The torque Tc = 290 Ib-ft acts at pulley C in the direction shown. Tc L2 B 1. Determine the maximum shear stress in the shaft BC. A) 7.56 ksi в) 18.1 ksi C) 10.5 ksi D) 9.07 ksi E) None of the Above

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.11P: The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in...

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.17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.
An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.
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A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is loaded by a linearly varying distributed force with maximum intensity of q0, Find the maximum shear stress in the pole.