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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Unformatted text preview: 07Ch07.qxd 9/27/08 1:24 PM Page 627 SECTION 7.7 Plane Strain Problem 7.7-8 Solve the preceding problem for the following strains: Px gxy 360 * 10 6 6 120 * 10 gxy 360 * 10 ây âx + ây ; 2 A 165 * 10 â1 tan 2up 172 * 10 gmax 2 a 6 6 us1 502 * 10 6 0.6316 ây up gmin 327.7° and 147.7° 163.9° and 73.9° âx1 up2 âaver 163.9°: âx + ây ây âx + 2 172 * 10 ‹ up1 163.9° 73.9° gmax us2 gxy âx â2 gmax 6 ; 377 * 10 2 gxy cos 2u + 2 sin 2u 6 â1 â2 172 * 10 6 502 * 10 ; 6 A a ây âx 2 337 * 10 ây 2 gxy 2 b +a b 2 2 âx 2up For up , Py 450 * 10 MAXIMUM SHEAR STRAINS 6 450 * 10 6 PRINCIPAL STRAINS â1,2 6 . Solution 7.7-8 Element in plane strain âx 120 * 10 ; gxy 2 b 2 6 674 * 10 2 b +a 6 up1 45° 674 * 10 us1 118.9° 6 90° 674 * 10 âx + ây 2 ; 28.9° 6 ; 165 * 10 6 6 , and 627 ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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