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Engineering · Civil Engineering
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Section B-Analyse the following beams for rigid plastic collapse i. Determine the number and positions of the minimum number of plastic hinges that will need to form to cause a mechanism, and therefore plastic collapse of the beam, and calculate the colapse load factor, c. Sketch the Collapse BMD stating the principal values. In all cases assume that the beam has a fully plastic moment capacity of Mp. i If L-10m and Mp- 50MNm, determine the load to cause collapse in each case, i.e. when ic 1 5. LI4 3LI4 [Ans. QS. (i) 1c = 16Mp/3w, (ii) 26.67 MN] L/3 [Ans. Q6.0) c 3Mp/PL: (i) 15 MN L/2 [Ans. Q7.0)c 6Mp/QL: () 30 MN
2.P 6 101 L/3 [Ans. Q6. (i) λ: 3Mp/PL; (ii) 15 MN]
7. I0IO L/2 L/2 Ans. 7.)c GMp: (i) 30 MN]
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