633_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

633_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 7.7 Plane Strain 627 Problem 7.7-8 Solve the preceding problem for the following strains: , , and . g xy 360 * 10 6 P y 450 * 10 6 P x 120 * 10 6 Solution 7.7-8 Element in plane strain P RINCIPAL STRAINS â 2 502 * 10 6 ; u p 2 73.9° u p 1 163.9° â 1 172 * 10 6 ; 172 * 10 6 â x 1 â x + â y 2 + â x â y 2 cos 2 u + g xy 2 sin 2 u For u p 163.9°: u p 163.9° and 73.9° 2 u p 327.7° and 147.7° tan 2 u p g xy â x â y 0.6316 â 1 172 * 10 6 â 2 502 * 10 6 165 * 10 6 ; 377 * 10 6 â 1,2 â x + â y 2 ; A a â x â y 2 b 2 + a g xy 2 b 2 g xy 360 * 10 6 â x 120
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