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03-03ChapGere.0020

# 03-03ChapGere.0020 - 5 2546 K D 1 3 5 K 16(500 lb-in p D 1...

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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 0.7, 0.8, and 0.9 in. Plot a graph showing max versus D 1 . Solution 3.11-3 Stepped shaft in torsion SECTION 3.11 Stress Concentrations in Torsion 255 T T R D 2 D 1 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
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Unformatted text preview: 5 2546 K D 1 3 5 K 16(500 lb-in.) p D 1 3 t max 5 K t nom 5 K ¢ 16 T p D 1 3 ≤ R 5 D 2 2 D 1 2 5 0.5 in. 2 D 1 2 Note that t max gets smaller as D 1 gets larger, even though K is increasing. D 1 (in.) D 2 / D 1 R (in.) R / D 1 K t max (psi) 0.7 1.43 0.15 0.214 1.20 8900 0.8 1.25 0.10 0.125 1.29 6400 0.9 1.11 0.05 0.056 1.41 4900 t max (psi) 10,000 5000 0.6 0.8 1 D 1 (in.) A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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