02-03ChapGere.0005

02-03ChapGere.0005 - (1.496(100 GPa(11 3 10 2 6 8 C 1 1 E S...

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110 CHAPTER 2 Axially Loaded Members Problem 2.5-8 A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is tightened until it is just snug. The bolt has a diameter d B 5 25 mm, and the sleeve has inside and outside diameters d 1 5 26 mm and d 2 5 36 mm, respectively. Calculate the temperature rise D T that is required to produce a compressive stress of 25 MPa in the sleeve. (Use material properties as follows: for the sleeve, a S 5 21 3 10 2 6 /°C and E S 5 100 GPa; for the bolt, a B 5 10 3 10 2 6 /°C and E B 5 200 GPa.) ( Suggestion: Use the results of Example 2-8.) Solution 2.5-8 Brass sleeve fitted over a Steel bolt Sleeve ( S ) Bolt ( B ) d 2 d 1 d B Subscript S means “sleeve”. Subscript B means “bolt”. Use the results of Example 2-8. s S 5 compressive force in sleeve E QUATION (2-20a): S OLVE FOR D T : or ¢ T 5 s S E S ( a S 2 a B ) ¢ 1 1 E S A S E B A B Ê ¢ T 5 s S ( E S A S 1 E B A B ) ( a S 2 a B ) E S E B A B s S 5 ( a S 2 a B )( ¢ T ) E S E B A B E S A S 1 E B A B (Compression) S UBSTITUTE NUMERICAL VALUES : s S 5 25 MPa d 2 5 36 mm d 1 5 26 mm d B 5 25 mm E S 5 100 GPa E B 5 200 GPa a S 5 21 3 10 2 6 / 8 C a B 5 10 3 10 2 6 / 8 C (Increase in temperature) ¢ T 5 34 8 C Ê ¢ T 5 25 MPa
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Unformatted text preview: (1.496) (100 GPa)(11 3 10 2 6 / 8 C) 1 1 E S A S E B A B 5 1.496 A B 5 p 4 ( d B ) 2 5 p 4 (625 mm 2 ) A S 5 p 4 ( d 2 2 2 d 1 2 ) 5 p 4 (620 mm 2 ) S B Steel Bolt Brass Sleeve Problem 2.5-9 Rectangular bars of copper and aluminum are held by pins at their ends, as shown in the figure. Thin spacers provide a separation between the bars. The copper bars have cross-sectional dimensions 0.5 in. 3 2.0 in., and the aluminum bar has dimensions 1.0 in. 3 2.0 in. Determine the shear stress in the 7/16 in. diameter pins if the temperature is raised by 100°F. (For copper, E c 5 18,000 ksi and a c 5 9.5 3 10 2 6 /°F; for aluminum, E a 5 10,000 ksi and a a 5 13 3 10 2 6 /°F.) Suggestion: Use the results of Example 2-8. Copper bar Copper bar Aluminum bar 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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