01-01ChapGere.0024

# 01-01ChapGere.0024 - 3 10 2 6(2500 mm 5 650 3 10 2 6 e 5 s...

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Problem 1.5-8 A steel bar of length 2.5 m with a square cross section 100 mm on each side is subjected to an axial tensile force of 1300 kN (see figure). Assume that E 5 200 GPa and v 5 0.3. Determine the increase in volume of the bar. 24 CHAPTER 1 Tension, Compression, and Shear 100 mm 100 mm 1300 kN 2.5 m 1300 kN Solution 1.5-8 Square bar in tension Find increase in volume. Length: L 5 2.5 m 5 2500 mm Side: b 5 100 mm Force: P 5 1300 kN E 5 200 GPa n5 0.3 A XIAL STRESS Stress s is less than the yield stress, so Hooke’s law is valid. A XIAL STRAIN I NCREASE IN LENGTH 5 1.625 mm ¢ L 5 e L 5 (650
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Unformatted text preview: 3 10 2 6 )(2500 mm) 5 650 3 10 2 6 e 5 s E 5 130 MPa 200 GPa s 5 1300 kN (100 mm) 2 5 130 MPa s 5 P A 5 P b 2 D ECREASE IN SIDE DIMENSION F INAL DIMENSIONS F INAL VOLUME I NITIAL VOLUME V 5 Lb 2 5 25,000,000 mm 3 I NCREASE IN VOLUME ± V 5 V 1 2 V 5 6490 mm 3 V 1 5 L 1 b 1 2 5 25,006,490 mm 3 b 1 5 b 2 ¢ b 5 99.9805 mm L 1 5 L 1 ¢ L 5 2501.625 mm 5 0.0195 mm ¢ b 5 e ¿ b 5 (195 3 10 2 6 )(100 mm) e ¿ 5 ne 5 195 3 10 2 6 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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