Modeling and Simulation of Symmetrically Parabolic Haunched Non-Prismatic Beams Using Finite Element Method

Non-prismatic beam members with parabolic haunches are commonly used in bridge and building structures. Due to their non-prismatic geometrical configuration, their assessment, particularly the computation of fixed-end horizontal forces (FEFs) and fixed-end moments (FEMs) becomes a complex problem. Therefore, this study aimed to investigate the modeling and simulation of the non-prismatic beams with symmetrical parabolic haunches (NBSPH) using finite element analyses (FEA). FEFs and FEMs due to vertical loadings were computed through a comprehensive parametric study using FEA. It was demonstrated that the conventional methods using frame elements can lead to significant errors, and the deviations can reach to unacceptable levels for these types of structures. This study advances to propose effective formulas and dimensionless estimation coefficients to predict the FEFs and FEMs with reasonable accuracy for the analysis and re-evaluation of NBSPH.