Softened Variable Angle Truss Model (RA-STM): Model Description and Refinement/Optimization Proposals

Abstract

This article presents a recent softened truss model with variable angle, namely the refined RA-STM (Rotating-Angle Softened Truss Model), to model the behaviour of structural concrete plates under pure shear.  The equations of the model, as well as the solution procedure, are summarized. Some predictions from the RA-STM are also presented, discussed and compared with experimental results available in the literature. It is shown that the refined RA-STM still needs to be refined. In addition, the need to generalize the RA-STM for more general loading cases is also discussed as well as the need to optimize the solution procedure in order to facilitate its computational implementation.

References
[1] MathWorks. (2017). ”MATLAB - R2017”. Academic license.

[2] Belarbi A, Hsu TTC. Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete. Struct J Am Concr Inst. 1994;91(4): 465–474.

[3] Pang XB, Hsu TTC. Behavior of reinforced concrete membrane elements in shear. Struct J Am Concr Inst. 1995;92(6):665–679.

[4] Silva JRB, Horowitz B. Efficient procedure to estimate the load–deformation behavior of reinforced concrete panels under membrane forces [in Portuguese]. CILAMCE 2015: Iberian Latin American Congress on Computational Methods in Engineering; 2015; Rio de Janeiro-RJ, Brazil; vol. 36.

[5] Silva JRB. Efficient procedure for the analysis of reinforced concrete sections using the softened truss model [unpublished master’s thesis]. Recife, Brazil: Department of Civil Engineering, Federal University of Pernambuco; 2016.

[6] Cerquido BMD. Analysis of reinforced concrete sections with the softened truss model [unpublished master’s thesis]. Covilhã, Portugal: Department of Civil Engineering and Architecture, University of Beira Interior; 2017.

[7] Bernardo LFA, Cerquido BMD, Silva JRB, Horowitz B. Efficient Refined Rotating-Angle Softened Truss Model Procedure to Analyze Reinforced Concrete Membrane Elements. Struct Concr. fib 2018;19(6): 1971-1982.

[8] Bernardo L, Lyrio A, Silva J, Horowitz B. Refined Softened Truss Model with Efficient Solution Procedure for Prestressed Concrete Membranes. J Struct Eng ASCE. 2018;144(6): 04018045.

[9] Collins MP. Torque-twist characteristics of reinforced concrete beams. Inelasticity and non-linearity and non-linearity in structural concrete. Waterloo: University of Waterloo Press, 1973; p. 211–231.

[10] Zhang LX, Hsu TTC. Behavior and analysis of 100 MPa concrete membrane elements. J Struct Eng ASCE. 1998;124(1):24–34.

[11] Pang XB, Hsu TTC. Behavior of reinforced concrete membrane elements in shear. Struct J Am Concr Inst. 1995;92(6):665–679.