03-01ChapGere.0022 - the torques shown in the figure. The...

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Solution 3.4-6 Solid and hollow shafts 202 CHAPTER 3 Torsion S OLID SHAFT CONSISTING OF TWO SEGMENTS H OLLOW SHAFT d 0 5 inner diameter 5 0.8 d U NITS : d 5 meters 5 32 T p G ¢ 2.1 m 0.5904 d 4 5 32 T p G ¢ 3.5569 m d 4 f 2 5 TL GI p 5 T (2.1 m) G ¢ p 32 [ d 4 2 (0.8 d ) 4 ] 5 32 T p G (98,741 m 2 3 ) 5 32 T p G (29,297 m 2 3 1 69,444 m 2 3 ) 1 T (0.9 m) G ¢ p 32 (60 mm) 4 f 1 5 © TL i GI Pi 5 T (1.2 m) G ¢ p 32 (80 mm) 4 T ORSIONAL STIFFNESS Torque T is the same for both shafts. For equal stiffnesses, f 1 5 f 2 d 5 0.0775 m 5 77.5 mm d 4 5 3.5569 98,741 5 36.023 3 10 2 6 m 4 98,741 m 2 3 5 3.5569 m d 4 k T 5 T f 1.2 m 0.9 m 60 mm 80 mm t = d 10 2.1 m d = outer diameter Problem 3.4-7 Four gears are attached to a circular shaft and transmit
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Unformatted text preview: the torques shown in the figure. The allowable shear stress in the shaft is 10,000 psi. (a) What is the required diameter d of the shaft if it has a solid cross section? (b) What is the required outside diameter d if the shaft is hollow with an inside diameter of 1.0 in.? C D A B 8,000 lb-in. 19,000 lb-in. 4,000 lb-in. 7,000 lb-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 Institute of Technology.

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