Moment ratics b1, and b2 are
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Figure 10 - uploaded by Eduardo Alexandre Rodrigues
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Moment vs. numerical and experimental rotation curve for beams B1, B2 and B3, for the same
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A Finite Element Approach for Predicting the Ultimate Rotation Capacity of RC Beams
Conference Paper
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Mar 2013
Eduardo Alexandre Rodrigues
O.L. Manzoli
Túlio Bittencourt
[...]
Plinio Glauber Carvalho Prazeres
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... 8 and 9 show the structural responses of moment vs. rotation of the tests developed with beams B2 and B3 with different reinforcement ratios (see Table 1). In general, the numerical results efficiently simulated the experimental tests developed by [3]. Varying the reinforcement ratio for beams B2 and B3 produced results similar to those of beam B1, since increasing the tension ratios led to a considerable increase in strength and a decrease in ductility. Therefore, it was found that increasing the dimensions of the beam led to a significant increase in strength but a loss in ductility (Fig. 10). Thus, over-reinforced or oversized beams gain in strength, but with a loss in ductility, caused by crushing failure of the concrete in the compressed region, even before the tensioned steel begins to yield. Lastly, the results of the experimental investigation carried out by [3] clearly indicate the size-scale effect of the beam in ductility after reaching the elastic limit, presenting a gain in strength and a loss in ductility in response to increasing beam dimensions. In addition, the numerical investigation demonstrated that the combined model proposed for modeling the plastic rotation capacity is able to simulate this phenomenon ...
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draw the the graph of x- 2y =1