708_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 708_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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702 CHAPTER 8 Applications of Plane Stress Problem 8.5-22 A mountain bike rider going uphill applies force P 65 N to each end of the handlebars ABCD , made of aluminum alloy 7075-T6, by pulling on the handlebar extenders ( DF on right handlebar segment). 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 1 and L 3 and with outer diameters and thicknesses d 01 , t 01 and d 03 , t 03 , respectively, as shown. Segment BC of length L 2 , however, is tapered and, outer diameter and thickness vary linearly between dimensions at B and C . Consider shear, torsion, and bending effects only for segment AD ; assume DF is rigid. Find maximum tensile, compressive, and shear stresses adjacent to support A . Show where each maximum stress value occurs. (b) Section D F d 03 Handlebar extension

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