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03-01ChapGere.0014

03-01ChapGere.0014 - 5 Td 2 p 32 d 2 4 2 d 1 4 5 16 Td 2 p...

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Problem 3.3-15 A solid brass bar of diameter d 5 1.2 in. is subjected to torques T 1 , as shown in part (a) of the figure. The allowable shear stress in the brass is 12 ksi. (a) What is the maximum permissible value of the torques T 1 ? (b) If a hole of diameter 0.6 in. is drilled longitudinally through the bar, as shown in part (b) of the figure, what is the maximum permissible value of the torques T 2 ? (c) What is the percent decrease in torque and the percent decrease in weight due to the hole? Solution 3.3-15 Brass bar in torsion 194 CHAPTER 3 Torsion T 2 d T 1 d (a) (b) T 2 T 1 (a) S OLID BAR d 5 1.2 in. t allow 5 12 ksi Find max. torque T 1 (b) B AR WITH A HOLE d 2 5 d 5 1.2 in. d 1 5 0.6 in. T 2 5 3817 lb-in. Ê T 2 5 p [(1.2 in.) 4 2 (0.6 in.) 4 ](12 ksi) 16(1.2 in.) T 2 5 p ( d 2 4 2 d 1 4 ) t allow 16 d 2 t max 5 Tr I P
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Unformatted text preview: 5 Td / 2 p 32 ( d 2 4 2 d 1 4 ) 5 16 Td 2 p ( d 2 4 2 d 1 4 ) 5 4072 lb-in. Ê T 1 5 p (1.2 in.) 3 (12 ksi) 16 t max 5 16 T p d 3 Ê T 1 5 p d 3 t allow 16 (c) P ERCENT DECREASE IN TORQUE P ERCENT DECREASE IN WEIGHT N OTE : The hollow bar weighs 25% less than the solid bar with only a 6.25% decrease in strength. % decrease 5 25% d 1 d 2 5 1 2 Ê W 2 W 1 5 3 4 W 2 W 1 5 A 2 A 1 5 d 2 2 2 d 1 2 d 2 2 5 1 2 ¢ d 1 d 2 ≤ 2 % decrease 5 6.25% Ê d 1 d 2 5 1 2 Ê T 2 T 1 5 0.9375 T 2 T 1 5 p ( d 2 4 2 d 1 4 ) t allow 16 d 2 ? 16 p d 2 3 t allow 5 1 2 ¢ d 1 d 2 ≤ 4 d d 2 d 1 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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