Title:
Improved Nonlinear Analysis of RC Deep Beams Using Matrix Methods
Author(s):
Hayder Rasheed
Publication:
Web Session
Volume:
ws_F24_Rasheed-Alqarni.pdf
Issue:
Appears on pages(s):
Keywords:
DOI:
Date:
11/3/2024
Abstract:
In this study, a nonlinear analysis procedure is developed to reproduce the full response of reinforced concrete (RC) deep beams using matrix truss formulation. The load-deflection curve of the RC beam is described by extracting two main key points represented by the steel yielding and ultimate capacity levels. The strut and tie method (STM) is followed when defining the type of truss elements and analyzing the nodal displacements under a unit load while estimating the actual load based on attaining limit loads in the different types of critical truss elements. Once the yielding or ultimate load is estimated, the elongation, strain and stress in each element in the truss are recovered by matrix analysis, thus, avoiding the need to approximate or establish the nonlinear strain profile across the depth and along the span. Also, two solution strategies using the secant and tangent stiffness are formulated and their results are compared to the experimental findings. An attempt is made to analytically define the failure mode using the critical truss element at each loading stage compared with the experimental results. This study shows an excellent agreement between the present nonlinear analysis approach and the experimental response curves for the entire range of shear span to depth ratios.