Re: [理工] [材力]-Strain and Material Relations

看板Grad-ProbAsk作者thefirst (陳金鋒 #52 )時間15年前 (2010/03/27 16:33)推噓4(4推 0噓 5→)

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※ 引述《a1133333 (阿傑)》之銘言： : A 2-in.-diameter and 4-in.-long solid cylinder is subjected to hydrostatic : loading with σx=σy=σz=-7.2ksi.Use E=30*10^6psi and υ=1/3. Calculate : (a)the change in length of the cylinder and (b)the change in volume of the : cylinder. : 幫幫我謝謝賺個P幣由廣義虎克定律 εx = [σx-ν(σy+σz)] / E = -81.6μ εy = [σy-ν(σx+σz)] / E = -81.6μ εz = [σz-ν(σx+σy)] / E = -81.6μ (a) △L = εx × L = -81.6μ × 4 = -0.0003264 in (負表長度縮短) (b) △V = (εx+εy+εz) × V = (-81.6μ-81.6μ-81.6μ) ×π×4 = -0.003076247526 (in^3) (負表體積減少) △V另一算法 △V = εv × V = [ (1-2ν)(3σ) / E ] × V = -244.8μ × 4π = -0.003076247526 (in^3) -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 59.125.52.40

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a1133333

03/27 21:59, , 1^F

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thefirst

03/28 15:33, , 3^F

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