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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Unformatted text preview: Sec_3.9-3.11.qxd 9/27/08 1:14 PM Page 329 SECTION 3.10 Thin-Walled Tubes Solution 3.10-2 329 Bar and tube SOLID BAR Am tmax 16T pd3 (Eq. 3-12) (d)(2d) 2d2 tmax T 2tAm T (Eq. 3-64) (Eq. 3-61) 4td2 EQUATE THE MAXIMUM SHEAR STRESSES AND SOLVE FOR t 16T T pd3 4td2 tmin RECTANGULAR TUBE pd 64 ; If t tmin, the shear stress in the tube is less than the shear stress in the bar. 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. t h (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 4.0 106 psi. b Probs. 3.10-3 and 3.10-4 Solution 3.10-3 Thin-walled tube Eq. (3-64): Am Eq. (3-71) with t1 J 24.0 in.2 bh t2 J t: 28.8 in.4 (a) SHEAR STRESS (EQ. 3-61) t b 6.0 in. h 4.0 in. t 0.25 in. T 15 k-in. L 50 in. G 4.0 T 2tAm 1250 psi ; (b) ANGLE OF TWIST (EQ. 3-72) 106 psi f TL GJ 0.373° 0.0065104 rad ; 2b2h2t b+h ...
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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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