Mechanics of Structures presents a unified approach to the variational and computational mechanics of solids and structures. The fundamentals of the theory of elasticity and variational theorems are covered, as are generalized variational theorems and applications. Matrix structural mechanics (including transfer, stiffness, and flexibility methods), finite elements, weighted residuals, finite differences, and boundary element methods are presented in a rational, unified manner. The book also includes comprehensive chapters on stability and dynamics of structural systems. Mechanics of Structures provides solid information for students and professionals in civil, mechanical, and aerospace engineering. It is an excellent text for courses offering the fundamentals of finite elements; advanced strength of materials; matrix structural analysis; computational solid mechanics; variational methods of mechanics; and rods, plates, and shells.
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Formulations for Linear Problems of Elasticity: Basic Equations: Differential Form. Principles of Virtual Work: Integral Form of the Basic Equations. Related Variational and Energy Principles. Solution Methods: Structural Analysis Methods I: Beam Elements. Structural Analysis Methods II: Structural Systems. The Finite Element Method. Direct Variational and Weighted Residual Methods: Classical Trial Function Methods. The Finite Difference Method. The Boundary Element Method. Formulations for Dynamic and Stability Problems: Dynamic Responses. Stability Analysis. Bars and Plates: Beams. Plates. Appendices: Some Fundamentals of Variational Calculus. Integral Theorems. Solution of Linear Equations and Eigenvalue Problems. Indices.
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