In this appendix the flexural behaviour of reinforced concrete beams is investigated by analytical methods originally introduced by A. Hillerborg. A simple analytical model is presented which describes the bending moment-curvature relation for normal and over-reinforced beams taking account the strain loca- lization within the compression zone of the concrete. The strain softening part of the stress-train curve for the concrete is described as a stress-deformation relation which is dependent on the lenght over which the compression failure extends along the beam axis.On the basis of the moment-curvature relation estimated by the model, the load deflection curve is calculated, and the rotational capacity is obtained as the total plastic work divided by the yield moment of the beam. The results of the model are obtained assuming a linear compression softening curve with different values of the critical compression and the fracture zone lenght. The results are compared with experiments. © 1999 Elsevier Ltd. All rights reserved.
Henriksen, M. S. (1999). Appendix D: Fracture mechanical model for rotational capacity of heavily rein-forced concrete beams. European Structural Integrity Society, 24(C), 168–180. https://doi.org/10.1016/S1566-1369(99)80068-5