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345_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 345_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.11 Stress Concentrations in Torsion 339 Problem 3.11-3 A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D 2 1.0 in. (see figure). A torque T 500 lb-in. acts on the shaft. Determine the shear stress max at the stress concentration for values as follows: D 1 5 0.7, 0.8, and 0.9 in. Plot a graph showing max versus D 1 . Solution 3.11-3 Stepped shaft in torsion D 2 1.0 in. T 500 lb-in. D 1 0.7, 0.8, and 0.9 in. Full quarter-circular fillet ( D 2 D 1 2 R ) U SE F IG . 3-48 FOR THE STRESS - CONCENTRATION FACTOR K 16(500 lb-in.) p D 1 3 2546 K D 1 3 t max K t nom K a 16 T p D 1 3 b R D 2 D 1 2 0.5 in. D 1 2 NOTE that max gets smaller as D 1 gets larger, even though

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