A Quick Prediction for Shear Behaviour of RC Membrane Elements by Fixed-Angle Softened Truss Model with Tension-Stiffening
The Fixed-angle Softened Truss Model with Tension-stiffening (FASTMT) has a superior performance in predicting the shear behaviour of reinforced concrete (RC) membrane elements, especially for the post-cracking behaviour. Nevertheless, massive computational work is inevitable due to the multiple transcendental equations involved in the stress-strain relationship. In this paper, an iterative root-finding technique is introduced to FASTMT for solving quickly the transcendental equations of the tension-stiffening effect of RC membrane elements. This fast FASTMT, which performs in MATLAB, uses the bisection method to calculate the tensile stress of the membranes. By adopting the simplification, the elapsed time of each loop is reduced significantly and the transcendental equations can be solved accurately. Owing to the high efficiency and good accuracy as compared with FASTMT, the fast FASTMT can be further applied in quick prediction of shear behaviour of complex large-scale RC structures.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1132517Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 697
 T. T. C. Hsu and Y. L. Mo, Unified theory of concrete structures. Wiley, 2010, ch. 1.
 T. T. C. Hsu, “Softened truss model theory for shear and torsion,” ACI Struct. J., vol. 85, no. 6, pp. 624–635, 1988.
 X. B. Pang and T. T. C. Hsu, “Fixed angle softened truss model for reinforced concrete,” ACI Struct. J., vol. 93, no. 2, pp. 197–207, 1996.
 T. T. C. Hsu and L. X. Zhang, “Nonlinear analysis of membrane elements by fixed-angle softened-truss model,” ACI Struct. J., vol. 94, no. 5, pp. 483–492, 1997.
 T. T. C. Hsu and R. R. H. Zhu, “Softened membrane model for reinforced concrete elements in shear,” ACI Struct. J., vol. 99, no. 4, pp. 460–469, 2002.
 F. Vecchio and M. P. Collins, “The Response of Reinforced Concrete to In-Plane Shear and Normal Stresses,” University of Toronto, Dept. of Civil Engineering, Toronto, Canada, 1982.
 X. Wang and J. S. Kuang, “Tension-stiffening effect on shear strength of RC membrane elements,” in Proceedings of the Twenty-ninth KKHTCNN Symposium on Civil Engineering, 2016, pp. 396–399.
 A. K. Gupta and S. R. Maestrini, “Tension-stiffness model for reinforced concrete bars,” J. Struct. Eng., vol. 116, no. 3, pp. 769–790, 1990.
 H. Kwak and D. Kim, “Nonlinear analysis of RC shear walls considering tension-stiffening effect,” Comput. Struct., vol. 79, pp. 499–517, 2001.
 H. C. Biscaia, C. Chastre, and M. A. G. Silva, “Linear and nonlinear analysis of bond-slip models for interfaces between FRP composites and concrete,” Compos. Part B Eng., vol. 45, no. 1, pp. 1554–1568, 2013.
 “MATLAB R2013b.” The MathWorks Inc., Natick, Massachusetts, 2013.
 X. B. Pang and T. T. C. Hsu, “Behavior of Reinforced Concrete Membrane Elements in Shear,” ACI Struct. J., vol. 92, no. 6, pp. 665–679, 1995.