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335_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 335_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 3.10-3 A thin-walled aluminum tube of rectangular cross section (see figure) has a centerline dimensions b 6.0 in. and h 4.0 in. The wall thickness t is constant and equal to 0.25 in. (a) Determine the shear stress in the tube due to a torque T 15 k-in. (b) Determine the angle of twist (in degrees) if the length L of the tube is 50 in. and the shear modulus G is 4.0 10 6 psi. SECTION 3.10 Thin-Walled Tubes 329 Solution 3.10-2 Bar and tube S OLID BAR (Eq. 3-12) R ECTANGULAR TUBE t max 16 T p d 3 A m ( d )(2 d ) 2 d 2 (Eq. 3-64) (Eq. 3-61) E QUATE THE MAXIMUM SHEAR STRESSES AND SOLVE FOR t If t t min

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