Mechanics of Structures Variational and Computational Methods,2nd Edition
Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation.\ The authors begin by describing the behavior of deformable solids through the differential equations for the strength of materials and the theory of elasticity. They next introduce variational principles, including mixed or generalized principles, and derive...
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Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation.The authors begin by describing the behavior of deformable solids through the differential equations for the strength of materials and the theory of elasticity. They next introduce variational principles, including mixed or generalized principles, and derive integral forms of the governing equations. Discussions then move to computational methods, including the finite element method, and these are developed to solve the differential and integral equations.New in the second edition:A one-dimensional introduction to the finite element method, complete with illustrations of numerical mesh refinementExpansion of the use of Galerkin's method. Discussion of recent developments in the theory of bending and torsion of thin-walled beams.An appendix summarizing the fundamental equations in differential and variational formCompletely new treatment of stability, including detailed examplesDiscussion of the principal values of geometric properties and stressesAdditional exercisesAs a textbook or as a reference, Mechanics of Structures builds a unified, variational foundation for structure mechanics, which in turn forms the basis for the computational solid mechanics so essential to modern engineering.
Sect. AFormulations for Linear Problems of Elasticity11Basic Equations: Differential Form32Principles of Virtual Work: Integral Form of the Basic Equations773Related Variational and Energy Principles135Sect. BSolution Methods1794Structural Analysis Methods I: Beam Elements1815Structural Analysis Methods II: Structural Systems2416The Finite Element Method3337Direct Variational and Weighted Residual Methods: Classical Trial Function Methods4378The Finite Difference Method4959The Boundary Element Method533Sect. CFormulations for Dynamic and Stability Problems58510Dynamic Responses58711Stability Analysis651Sect. DBars and Plates72512Beams72713Plates757Sect. EAppendices835App. ISome Fundamentals of Variational Calculus837App. IIIntegral Theorems847App. IIISummary of the Differential and Integral Forms of the Governing Equations851Subject Index879Bibliographic Index891
