Synopsis
This text uses fundamental theorems of structural mechanics to explain the connection between statics of structures and their deflections on the one hand, and the kinematics of structures and their equilibrium on the other. It develops the theory and techniques of finite element and non-linear analysis applicabale to computer software. This text brings a unified approach to the analysis of conventional truss and frame structures and the finite element approximation of the continuum via the priciples of virtual displacements and virtual forces. These principles can be succintly expressed in the form known as the contragredient law. Concepts of elasticity and elasto-plastic constitutive laws are discussed and a broad introduction given to the various approaches used in the finite element method. A treatment is then given for line element structures using both the force and the displacement method, and in the latter case, the theory is extended for non-linear large displacement analysis. Practical means are presented for the calculation of critical loads on such structures. Three chapters are devoted to the finite element method in which continuum thoery, torsion, heat transfer, plate
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