652_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 652_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 646 1:24 PM Page 646 CHAPTER 7 Analysis of Stress and Strain Problem 7.7-27 Solve Problem 7.7-9 by using Mohr’s circle for plane strain. Solution 7.7-27 Element in plane strain âx 480 * 10 6 gxy 420 * 10 6 ây gxy 2 6 70 * 10 210 * 10 6 u 75° PRINCIPAL STRAINS 2up1 a 45.69° up1 2up2 2up1 + 180° 22.8° Point P1: â1 62 ) + (210 * 10 210 205 arctan b a + 180° Point C: âx1 Point D (u 275 * 10 6 2u 275 * 10 MAXIMUM SHEAR STRAINS 2us2 6 202 * 10 6 90° + a 2us1 2us2 + 180° Point S1: âaver 284.36 * 10 569 * 10 6 gmax 165°): 6 569 * 10 + R cos b 348 * 10 284.36 * 10 6 6 2R Point S2: âaver gmin gx1y1 6 ) 6 gx1y1 âx1 275 * 10 gx1y1 R sin b 2 18 * 10 62 75°): (u R 6 75.69° R cos b Point 568 * 10 45.69° âx1 275 * 10 6 gx1y1 R sin b 2 Dœ +R 112.8° 6 293.47 * 10 a 275 * 10 6 Point P2: â2 2(205 * 10 R up2 225.69° 6 us2 135.69° 315.69° 275 * 10 587 * 10 6 275 * 10 587 * 10 6 6 6 67.8° us1 157.8° ...
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