Analysis of Roof Truss using Timoshenko Beam Model

Abstract

The exact solution for the roof truss analysis using the Timoshenko beam model is presented in this paper. The axial stiffness of the top and bottom cords is simplified to be equivalent to flexural stiffness of beam. Similarly, the axial stiffness of the webs and diagonals is equivalent to shear stiffness of beam. This analysis is broken into two parts: the member stress and the maximum deflection analysis. The results are then compared to those of the finite element models. The studies of equivalent shear deflection in the roof truss are also included in this paper.