Parametric study of a class of arch bridge models

Abstract

This project encompasses a comprehensive parametric study of a class of arch bridge models in which several numerical parameters are studied in order to understand the magnitude of their effect when varied. The method of choice to analyze the various structures is the Direct Stiffness Method, and this is implemented in both manual and automated calculations. The aim of this project is to optimize the parameters related to stress distribution and select the best possible configuration for a class of arch bridge models. The major constraints studied include: overall dimensions, member stiffness factors, support-ends, applied forces, deflections, and bending moments. The project begins with basic idealized arch bridge examples solved manually, and these serve as control examples that aid in later stages for verification. The next step includes developing a program to facilitate the analysis since several iterations are expected in order to reach an optimal result. The program is developed using the Wolfram Mathematica platform and includes an automated algorithm to assist in analyzing several cases so that a conclusive result can be achieved. The application of a parametric study easily allows the identification of critical variable. This is important since the final outcome is to specify certain parameters and obtain maximal efficiency and capability of a half-through arch bridge.