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483_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 483_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 5.12-3 A curved bar having a circular axis (radius .) is loaded by forces (see figure). The cross section of the bar is rectangular with height and thickness . If the allowable tensile stress in the bar is 12,000 psi and the height ., what is the minimum required thickness ? t min h 1.25 in t h P 400 lb r 12 in ABC Solution 5.12-3 Curved bar radius of curved bar C ROSS SECTION h height t thickness A ht S 1 6 th 2 M Pe Pr 2 (2 1 2 ) r a 1 1 1 2 b e r r cos 45° r T ENSILE STRESS M INIMUM THICKNESS S UBSTITUE NUMERICAL VALUES : t min 0.477 in. ; r 12 in. h 1.25 in. P 400 lb s allow 12,000 psi t min P h s allow c 1 + 3(2 1 2 ) r h d P ht c 1 + 3(2 1 2 ) r h d s t P A + M S P ht + 3 Pr (2 1 2

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483_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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