02-05ChapGere.0005

02-05ChapGere.0005 - diameters d and 2 d is shown in the...

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138 CHAPTER 2 Axially Loaded Members (a) S TRAIN ENERGY OF THE BAR Add the strain energies of the two segments of the bar (see Eq. 2-40). (b) S UBSTITUTE NUMERICAL VALUES : 5 P 2 L p E ¢ 1 4 d 2 1 1 d 2 5 5 P 2 L 4 p Ed 2 U 5 a 2 i 5 1 N i 2 L i 2 E i A i 5 P 2 ( L / 2) 2 E B 1 p 4 (2 d ) 2 1 1 p 4 ( d 2 ) R P 5 27 kN L 5 600 mm d 5 40 mm E 5 105 GPa 5 1.036 N ? m 5 1.036 J U 5 5(27 kN) 2 (600 mm) 4 p (105 GPa)(40 mm) 2 P P 2 d d L 2 L 2 Problem 2.7-3 A three-story steel column in a building supports roof and floor loads as shown in the figure. The story height H is 10.5 ft, the cross-sectional area A of the column is 15.5 in. 2 , and the modulus of elasticity E of the steel is 30 3 10 6 psi. Calculate the strain energy U of the column assuming P 1 5 40 k and P 2 5 P 3 5 60 k. P 1 P 2 P 3 H H H Problem 2.7-2 A bar of circular cross section having two different
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Unformatted text preview: diameters d and 2 d is shown in the figure. The length of each segment of the bar is L /2 and the modulus of elasticity of the material is E . (a) Obtain a formula for the strain energy U of the bar due to the load P . (b) Calculate the strain energy if the load P 5 27 kN, the length L 5 600 mm, the diameter d 5 40 mm, and the material is brass with E 5 105 GPa. Solution 2.7-2 Bar with two segments P P 2 d d L 2 L 2 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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