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317_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 317_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.8 Statically Indeterminate Torsional Members 311 Solution 3.8-11 Bar enclosed in a tube d 1 1.50 in. d 2 1.75 in. d 3 2.25 in. G 11.6 10 6 psi P OLAR MOMENTS OF INERTIA Tube: I P 2 p 32 1 d 3 4 d 2 4 2 1.595340 in. 4 Bar: I P 1 p 32 d 1 4 0.497010 in. 4 T ORQUES IN THE BAR (1) AND TUBE (2) FROM E QS . (3-44 A AND B ) (a) M AXIMUM SHEAR STRESSES (b) A NGLE OF ROTATION OF END PLATE 0.354° (c) T ORSIONAL STIFFNESS ; k T T f 809 k- in. ; f T 1 L GI P 1 T 2 L GI P 2 0.006180015 rad ; Tube: t 2 T 2 ( d 3 /2) I P 2 2690 psi ; Bar: t 1 T 1 ( d 1 /2) I P 1 1790 psi Tube: T 2 T a I P 2 I P 1 + I P 2 b 3812.32 lb-in. Bar: T 1 T a I PI I PI + I PI b 1187.68 lb-in. Problem 3.8-12 The composite shaft shown in the figure is manufactured by shrink-fitting a steel sleeve over a brass core so that the two parts act as a single solid bar in torsion. The outer diameters of the two parts are

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