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629_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 629_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Solution 7.7-2 Plate in biaxial stress (a) I NCREASE IN LENGTH OF DIAGONAL â x 1 â x + â y 2 + â x â y 2 cos 2 u + g xy 2 sin 2 u L d 1 b 2 + h 2 170.88 mm f arctan h b 20.56° â y 320 * 10 6 g xy 0 b 160 mm h 60 mm â x 410 * 10 6 (b) C HANGE IN ANGLE Minus sign means line rotates clockwise (angle decreases.) (c) C HANGE IN ANGLE Angle increases the same amount that decreases. ¢ c 240 * 10 6 rad (increase) ; f c c ¢ f 240 * 10 6 rad (decrease) ; f Od For u f 20.56°: a 240.0 * 10 6 rad Eq. (7-68): a ( â x â y ) sin u cos u g xy sin 2 u f ¢ d â x 1 L d 0.0547 mm ; For u f 20.56°: â x 1 319.97 * 10 6 Problem 7.7-3 A thin square plate in is subjected to stresses and , as shown in part (a) of the figure . The width of the plate is Measurements show that the normal strains in the and directions are and , respectively. With reference to part (b) of the figure, which shows a

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629_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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