03-03ChapGere.0022

03-03ChapGere.0022 - ≤ R 5 D 2 2 D 1 2 5 0.75 in. 2 D 1 2...

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Problem 3.11-5 A stepped shaft (see figure) has diameter D 2 5 1.5 in. and a full quarter-circular fillet. The allowable shear stress is 15,000 psi and the load T 5 4800 lb-in. What is the smallest permissible diameter D 1 ? Solution 3.11-5 Stepped shaft in torsion SECTION 3.11 Stress Concentrations in Torsion 257 T T R D 2 D 1 D 2 5 1.5 in. t allow 5 15,000 psi T 5 4800 lb-in. Full quarter-circular fillet D 2 5 D 1 1 2 R U SE F IG . 3-48 FOR THE STRESS - CONCENTRATION FACTOR 5 24,450 K D 1 3 5 K D 1 3 B 16(4800 lb-in.) p R t max 5 K t nom 5 K ¢ 16 T p D 1 3
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Unformatted text preview: ≤ R 5 D 2 2 D 1 2 5 0.75 in. 2 D 1 2 Use trial-and-error. Select trial values of D 1 D 1 (in.) R (in.) R / D 1 K t max (psi) 1.30 0.100 0.077 1.38 15,400 1.35 0.075 0.056 1.41 14,000 1.40 0.050 0.036 1.46 13,000 From the graph, minimum D 1 < 1.31 in. 16,000 15,000 14,000 13,000 1.30 1.40 t allow t max (psi) D 1 = 1.31in. D 1 (in.) A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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