653_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

653_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 647 SECTION 7.7 Plane Strain 647 Problem 7.7-28 Solve Problem 7.7-10 by using Mohr’s circle for plane strain. Solution 7.7-28 Element in plane strain âx gxy 6 1120 * 10 780 * 10 ây 430 * 10 gxy 6 390 * 10 2 6 6 u 45° PRINCIPAL STRAINS a 2up1 180° 2up2 2up1 + 180° 2(345 * 10 arctan b 390 345 180° Point D: (u âx1 gx1y1 2 2 gx1y1 2u R 1296 * 10 62 ) 41.50° 775 * 10 MAXIMUM SHEAR STRAINS 6 a 2us1 R sin b 6 + R cos b 345 * 10 6 385 * 10 gx1y1 6 90° 2us2 45°): 775 * 10 2us1 + 180° Point S1: âaver 690 * 10 6 gmax 2R Point S2: âaver Point D ¿ : (u âx1 gx1y1 6 254 * 10 48.50° a Point C: âx1 ) + (390 * 10 775 * 10 +R 155.7° 6 520.70 * 10 a Point P2: â2 62 775 * 10 6 65.7° up2 311.50° Point P1: â1 R up 1 131.50° gmin 135°) 775 * 10 6 R cos b R sin b 690 * 10 345 * 10 6 1165 * 10 6 6 us1 41.50° 221.50° 775 * 10 1041 * 10 6 775 * 10 1041 * 10 6 6 6 20.7° us2 110.7° 6 6 ...
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