872_Mechanics Homework Mechanics of Materials Solution

872_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 7.134 through 7.137 The following state of strain has been measured on the surfiwe - PROBLEM 7-134 of a thin plate. Knowing that the surface of the plate' is witnessed, determine (a) the direction and magnitude of the principal strains, (b) the maximum ill-plane shearing strain, (6) the maximum shearing strain. (Use v = 3 ) Ex=+lGOfl tar—480,1; Yfl:—600/u SOLUTION (a) For Molar-‘5 CI'V‘Cje crs'iwm'n) P901“ POW?“ x: (MO/4’ 3ob-A7 Y: (r: Lisa/(J wan/g} C'. (-leon, o) 71:3 - 39° =‘ = , = - O. 375‘ ta‘ +4“ 29p 5” .— EJ 310 q 3 29, = 4345‘ 9,: — 21.53‘ mg“) I; anal —2I.$a+eo .— 95.42" 9v -2|.ss° .q 68. 92° O. = Jtszom‘dsoofl)‘ -“ H38.G’./4 EM+ R = —Igo,4+433.ea,u =+278’.G/,¢ ‘- E... - 12 = — JGOM*938.€/4 .— —$€rs.e,¢- «- TWanng) = 2R ’ 377/4 -‘ -:5"?8.G.;4 2734.,“ +5ra.e,u = 377,“ .... ...
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