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MIT2_094S11_hw_3 - ‐ 181(a Show explicitly that(b Show...

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2.094 F INITE E LEMENT A NALYSIS OF S OLIDS AND F LUIDS S PRING 2008 Homework 3 Instructor: Prof. K. J. Bathe Assigned: 02/21/2008 Due: 02/28/2008 Problem 1 (10 points): The four node plane strain element shown is subjected to the constant stresses ࢞࢞ ൌ ૛૙ ࢖࢙࢏ ࢟࢟ ൌ ૚૙ ࢖࢙࢏ ࢞࢟ ൌ ૚૙ ࢖࢙࢏ Calculate the nodal point displacements of the element. Page 1 of 2
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Page 2 of 2 ሺ૝ሻ ൌ න ሺ૝ሻ ሺ૝ሻ ࢊࢂ ሺ૝ሻ ሺ૝ሻ Problem 2 (20 points): Consider the element 4 in Fig. E4.9 in the textbook (p.180
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