Abstract
This research deals with the creation of a 2D frame program that includes circumferential and parabolical arc-shaped elements subjected to thermal loading. It was based on the Finite Element Method and written in Fortran. The elements have two nodes each and three degrees of freedom per node (both in-plane translations and out-of-plane rotation). The matrices were derived using Virtual Work and some integrals demanded a numerical approximation, where a Gaussian Quadrature approach was employed. The algorithm was checked against results found in books and papers, usual software where curves need to be approximated using a great number of straight elements, and structures designed and solved by the authors using traditional methods. The results for rotations, displacements, reactions, bending, normal and shear forces are seen to be very precise at a less demanding input data in comparison to others programs.
Published Version
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