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Energy Methods in Structural Mechanics
1999,
425 pages
$161.60
Today's advanced computer-based analysis capabilities provide accurate predictions of deformations and loads in structural elements of complex structures, enabling engineers to design structures at specified levels of safety and with greater economy of materials and construction time. However, there can be a danger that without a thorough understanding of the methods involved, engineers will use computer-based analysis tools as 'black boxes' and accept results without being aware of the real significance of the information obtained or whether they are appropriate to the structure being designed. This book provides a clear introduction to the principles underlying finite elements and the computer based methods of structural analysis commonly used in industry. Energy Methods in Structural Mechanics presents a unified development founded on a few fundamental energy theorems and proceeds to show how these theorems can be used to provide practical analysis methods. The book presents a consistent approach in which the reader is introduced through variational principles to the equilibrium equations for beams, plates and the initial buckling of struts. It emphasizes the alternative approach of solving practical problems through the minimization of energy functionals by means of trial functions for approximate analysis. The finite element method is introduced as an extension of the method of trial functions. The analysis procedures are illustrated by application to example structures such as beams, trusses, frames and plates. Brief contents: Work and energy; Kinematics and equilibrium of systems of rigid bodies; Deformation of bodies and material properties; Theory of elastic deformation of beams; General principles in the analysis of linear elastic structures; Total potential energy; The method of trial functions; Matrix analysis of pin-jointed trussed structures; Matrix analysis of rigid-jointed framed structures; Analysis of thin plates; The theory of finite elements; Stability of equilibrium and non-linear deformations of beam-columns.
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