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Problem_05_76

# Problem_05_76 - Problem 5.76 Each member made of ductile...

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Problem 5.76 Each member made of ductile steel (E=200 GPa, and ν =0.29) with Yield Stress Y=420 MPa. Member 0A has diameter 100mm and is welded to beam AB with rectangular cross section with depth 75 mm and width 50 mm. Tension member BC has a circular cross section with diameter 7.5 mm. Find: P with SF=2 against initiation of yielding. Neglect stress concentrations. Solution: Q Q s 1 From A to 0 Q T V M s 3 P L 2 From C to B From B to A V M Q s 2 N Q = M 2 Q s 2 = V 2 Q = q Q 0 = M 3 Q P ( ) s 3 = V 3 Q P = T 3 Q L 2 = 0 0 L 1 s 1 Q E A 1 1 ( ) d 0 L 2 s 2 Q s 2 E I 2 s 2 d + 0 L 2 s 2 1.2Q G A 2 1 d + 0 L 3 s 3 Q P ( ) s 3 E I 3 s 3 d 0 L 3 s 3 1.33 Q P ( ) G A 3 1 d + 0 L 3 s 3 Q L 2 G J 3 L 2 d + + ... = After integrating we get 0 1.2 L 2 Q A 2 G 1.33 L 3 P A 3 G 1.33 L 3 Q A 3 G + L 3 3 P 3 E I 3 L 2 3 Q 3 E I 2 + L 3 3 Q 3 E

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Problem_05_76 - Problem 5.76 Each member made of ductile...

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