midterm1_problem3

midterm1_problem3 - Probiem#3(30 A circular shaft is made...

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Unformatted text preview: Probiem #3 (30%) A circular shaft is made of two materials, with a cross section of outer radius c and inner circie of radius (2/2 (see figure). Determine the ratio Tun/Ty between the ultimate torque Tu” and the maximum elastic torque Ty if the material response of each material can be idealized by the stress—strain laws depicted beiow, with 02:61 Ty3=3Ty1. As shown in the figure, materiai 1 corresponds to the inner core, and Materiai 2 to the outer ring: Sketch the distribution of the stresses on thecross section under Ty and TH“, respectively. flew/2am 9&2;— % =5 are 1.524643% Legit: 50451ng {325%} 7“ 2:. CAM/c alien Zfe/éy/Vfowurx /o7C;] :2! ZMW ”@7‘flaaa/éfl7 mm @ [géflh/Z yraéZ/fl/éxm. ZWU? zya we gW/zi %Z:§%>?X/ @ @énfi/fffl/kflLM) thflch :37?! "€23 gmdxgfiz 679/ <- 5/12 WM “9 éx® rig/M air/£14 Qalfm/m/fleé/ @ ‘2’2 I 9'} Ede: 7 x 3w h— 1/164“? 57% :23 a /arid;-/z"ac/ /%V//Eé/ZmK// ...
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