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0.7ff M.R.-moment redistibution 0.6 8 required M.R. 40%M.R..EC4 0.3 0.2 25%M.R.in Chinese Design Code 0.1 0 0.5 06 0.7 0.8 0.9 1 H=M 'IMp Fig.5 Variation of B with u Now I'm going to consider a continuous beam with different span length and different uniformed load in each mes. span.The hogging moment based on elastic analysis becom M'a= (5) The load carrying capacity of the beam each span is expressed as: 8M(1+入。m) M=1-)1+2wan (6a) 8Mp(1+Aspan)AwAspan w收=aPa+九wa月 (6b) At ULS,the notional plastic hinge is favorable in the longer and the heavier load span which will govern the moment redistribution required in developing a plastic mechanism.So the required moment redistribution of each span is derived and expressed as: A4=1-4-A-11+pa (1+wpan)μ (7a) A2=1-4-0+久 (7b) (1+w23nan)μFig. 5 Variation of with Now I’m going to consider a continuous beam with different span length and different uniformed load in each span. The hogging moment based on elastic analysis becomes: Where: is the ratio of the two different uniformed loading is the ratio of the different span length The load carrying capacity of the beam each span is expressed as: At ULS, the notional plastic hinge is favorable in the longer and the heavier load span which will govern the moment redistribution required in developing a plastic mechanism. So the required moment redistribution of each span is derived and expressed as:
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