Exam2_Solutions - . / . l Problem I (33 points) An elastic...

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Unformatted text preview: . / . l Problem I (33 points) An elastic solid isotropic bloclq with Yomg's Mdulus E--lf psl, and Poisssn's ratio v : 0.3 fits perfectly between to rigid, immobile, ild smooth (frictionless) plates as shown at the right. The solid block has an original undeformed length Lt: lland is-_*g,g{npressed by a normal load applied in the i, directions, which produces.the measured \--- tt ^ displacement dt = 0.01 of each of the f , : faces of the block. a) What are the principal stresses in the block due to this loading? b) What are the strains associated with direction t i,ir?r. c) If the material yields at 50000 psi, what is the margin of safety associate with the above described loading by D Tresca failure theory, ii) von Mises failure theory? z 6 6 , , : T = - o ' o Z , t a f D , S s ' o FR-vm ta.uJ SuSSf tTur tr.t 6 A ) = ) z- | l - . i g . 8,,= E Lq - v(w.+ t'r) I Ez = e["i.-Y(o:r{fi)J €7 1 a 7 v ( - r ) Y t € t p s Q , o z ffi = -7t,qv| Frl = ) - o . o z = , d t I q t - o s d . f , ( r l t o . = t o ' l q . - o . 3 c r , l - \ , = 0 . 3 6 , = l o t [ q - a , 3 ( o , s a i ) f . ? . t x t i ] 6 L z ) THrg (lir = % z = o ' 3 T u = - 6 s ? 3 p s t , olgt o % € , ' - O , o e )- l ! ! - | Tk,scll I r / a...
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This note was uploaded on 10/31/2010 for the course MANE 4060 taught by Professor Huang during the Fall '08 term at Rensselaer Polytechnic Institute.

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Exam2_Solutions - . / . l Problem I (33 points) An elastic...

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