642_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

642_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 07Ch07.qxd 9/27/08 636 1:24 PM Page 636 CHAPTER 7 Analysis of Stress and Strain Solution 7.7-16 âA 45° strain rosette 6 310 * 10 âC âB 6 160 * 10 gmax 2 FROM EQS. (7-77) AND (7-78) OF EXAMPLE 7-8: âx gxy âA 2âB âA âx + ây ; 2 75 * 10 â1 332 * 10 tan 2up 2up up 6 A âC 210 * 10 a ây âx 2 ; 257 * 10 6 160 * 10 6 â2 ây 2 gxy 2 b 2 6 182 * 10 âaver 6 0.4468 12.0° and 102.0° FOR up 12.0°: ây âx + ây âx gxy âx1 + cos 2u + sin 2u 2 2 2 ‹ up1 up2 6 12.0° â1 102.0° â2 us2 gmin 24.1° and 204.1° 332 * 10 gmax us1 b +a 332 * 10 6 182 * 10 ; 6 ; a ây âx 2 257 * 10 6 gmax gxy âx ây âC PRINCIPAL STRAINS â1,2 6 310 * 10 A MAXIMUM SHEAR STRAINS 6 180 * 10 gxy 2 b 2 6 515 * 10 2 b +a 6 up1 45° 515 * 10 us1 + 90° 33.0° or 147.0° 6 57.0° 515 * 10 âx + ây 2 ; 6 ; 75 * 10 6 ...
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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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