02-07ChapGere.0015

02-07ChapGere.0015 - P b b b b 2 b P b b b b 2 b d 5 10mm s...

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Solution 2.12-5 Truss with four bars 174 CHAPTER 2 Axially Loaded Members 21 in. 21 in. 27 in. 27 in. A B C D P 36 in. E 5 3 4 5 3 4 L AE 5 60in. L BE 5 45in. J OINT E Equilibrium: or P 5 6 5 F AE 1 8 5 F BE 2 F AE ¢ 3 5 1 2 F BE ¢ 4 5 5 P P LASTIC LOAD P P At the plastic load, all bars are stressed to the yield stress. F AE 5 s Y A AE F BE 5 s Y A BE S UBSTITUTE NUMERICAL VALUES : A AE 5 0.307in. 2 A BE 5 0.601in. 2 s Y 5 36ksi 5 13.26 k 1 34.62 k 5 47.9 k 1 8 5 (36 ksi)(0.601 in. 2 ) P P 5 6 5 (36 ksi)(0.307 in. 2 ) P P 5 6 5 s Y A AE 1 8 5 s Y A BE P E F AE F BE Problem 2.12-6 Five bars, each having a diameter of 10 mm, support a load P as shown in the figure. Determine the plastic load P P if the material is elastoplastic with yield stress s Y 5 250 MPa. Solution 2.12-6 Truss consisting of five bars
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Unformatted text preview: P b b b b 2 b P b b b b 2 b d 5 10mm s Y 5 250MPa A 5 p d 2 4 5 78.54 mm 2 At the plastic load, all five bars are stressed to the yield stress F 5 s Y A Sum forces in the vertical direction and solve for the load: Substitute numerical values: P P 5 (4.2031)(250MPa)(78.54mm 2 ) 5 82.5 kN 5 4.2031 s Y A 5 s Y A 5 (5 2 1 4 5 1 5) P P 5 2 F 1 2 1 2 F 2 5 1 F P F F F F F A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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