873_Mechanics Homework Mechanics of Materials Solution

873_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 surface PROBLEM 7-135 ofa thin plate. Knowingthat the sumac ofthc plate is mstressed, dctennine (a) the direction and magnitude of the principal strains, (b) the maximum in-plane shearixm maim(c)thcma:dmmnshcaringstrain. (Usev= %) E: “260/4 EJ =-Go,u fix .— +430)” SOLUTION For MDLV'E cffl‘c’e a“? 5+r‘am Pfio‘f Fahd": X: (— Zea/u) - 240/4) Y: (-6014) Z‘fDA‘ c: (-Ieou, O) .V 90.7 5-6 5" -‘ 0- R ”J (10014}; + (210,... \" 1' x R = 2gp)" _ L 33.679 E. ‘. ‘° J (CL) 5." = EM-r R =-' - leak-L 2G0,“ = loo/u ' .1 ab '4' Emu. _ R =- - léofl “" 260M 3 — ”20 fl 1‘ Yummy...“ = 2R =' 520 ,u 4‘ “V 1/3 1 (E..+ EL) ‘—‘ - If» (83+ SJ) = - 173-0260-60) 7" '60 A Ell-M.“ '- _ qzo A no; + 420,“ = 530,4 .- ...
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