02-01ChapGere.0002 - P Steel wire P Copper wire Solution...

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Solution 2.2-2 Bridge section lifted by a cable 64 CHAPTER 2 Axially Loaded Members A 5 304 mm 2 (from Table 2-1) W 5 38 kN E 5 140 GPa L 5 14 m (a) S TRETCH OF CABLE 5 12.5 mm d 5 WL EA 5 (38 kN)(14 m) (140 GPa)(304 mm 2 ) (b) F ACTOR OF SAFETY P ULT 5 406 kN (from Table 2-1) P max 5 70 kN n 5 P ULT P max 5 406 kN 70 kN 5 5.8 Problem 2.2-3 A steel wire and a copper wire have equal lengths and support equal loads P (see figure). The moduli of elasticity for the steel and copper are E s 5 30,000 ksi and E c 5 18,000 ksi, respectively. (a) If the wires have the same diameters, what is the ratio of the elongation of the copper wire to the elongation of the steel wire? (b) If the wires stretch the same amount, what is the ratio of the diameter of the copper wire to the diameter of the steel wire?
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Unformatted text preview: P Steel wire P Copper wire Solution 2.2-3 Steel wire and copper wire P Steel wire P Copper wire Equal lengths and equal loads Steel: E s 5 30,000 ksi Copper: E c 5 18,000 ksi (a) R ATIO OF ELONGATIONS ( EQUAL DIAMETERS ) d c d s 5 E s E c 5 30 18 5 1.67 d c 5 PL E c A d s 5 PL E s A (b) R ATIO OF DIAMETERS ( EQUAL ELONGATIONS ) d c 2 d s 2 5 E s E c d c d s 5 B E s E c 5 B 30 18 5 1.29 E c p 4 d c 2 5 E s p 4 d s 2 d c 5 d s PL E c A c 5 PL E s A s or E c A c 5 E s A s 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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