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311_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 311_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.8 Statically Indeterminate Torsional Members 305 Problem 3.8-5 A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (see figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque ( T 0 ) max that may be applied at section C ? ( Hint : Use Eqs. 3-45a and b of Example 3-9 to obtain the reactive torques.) T max T B 0.24 P S HEAR STRESS IN PART CB (Eq. 1) U NITS : Newtons and meters max 45 10 6 N/m 2 d d 2 0.05 mm I p p 32 ( d 2 4 d 1 4 ) 362.26 * 10 9 m 4 t max T max ( d /2) I P T max 2 t max I P d Substitute numerical values into (Eq. 1): P allow 2720 N ; P 652.07 N # m 0.24 m 2717 N 652.07 N # m 0.24 P 2(45 * 10 6 N/m 2 )(362.26 * 10 9 m 4 ) 0.05 m A 0.75 in. 6.0 in. 15.0 in. 1.50 in. B C T 0 Solution 3.8-5 Stepped shaft ACB d A 0.75 in. d B 1.50 in. L A 6.0 in. L B 15.0 in. allow

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