Analysis of Skeletal Structural Systems in the Elastic and Elastic-plastic Range
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Home > Science, Technology & Agriculture > Mechanical engineering and materials > Materials science > Engineering: Mechanics of solids > Analysis of Skeletal Structural Systems in the Elastic and Elastic-plastic Range: (Developments in Civil Engineering S.)
Analysis of Skeletal Structural Systems in the Elastic and Elastic-plastic Range: (Developments in Civil Engineering S.)

Analysis of Skeletal Structural Systems in the Elastic and Elastic-plastic Range: (Developments in Civil Engineering S.)


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About the Book

The purpose of this book is to provide a smooth transition from linear elasticity through the nonlinear behaviour induced by unilateral constraints to full-scale plasticity. It presents applications of Mathematical Programming to nonlinear static analysis of skeletal structures (trusses, frames, grillages etc.). It is demonstrated that under the assumption of small displacements, a broad class of structural analysis problems exhibit the same internal structure. Such is the case with elastic analysis in the presence of unilateral supports or tension-only members, elastic-plastic analysis in both holonomic and non-holonomic formulations and, finally, ultimate load analysis. Throughout the book a clear and uniform methodology of presentation is used. First a complete set of governing relations is derived for a particular problem. Then that set is shown to be equivalent to a certain minimax problem (the saddle point problem), that in turn can be replaced by a pair of constrained extremum problems (dual MP-problems). Thus the complementary energy principles are established, furnishing the basis for the development of methods of numerical solution.

Table of Contents:
Chapter I. Elements of Linear Algebra and Mathematical Programming. II. Elements of Continuum Mechanics. III. Differential Description of an Element. IV. Discrete Description of an Element. V. Discrete Description of a Structure. VI. Elastic Analysis. VII. Elastic-Plastic Analysis. VIII. Ultimate Load Analysis. References. Appendices. Index.


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Product Details
  • ISBN-13: 9780444989901
  • Publisher: Elsevier Science & Technology
  • Publisher Imprint: Elsevier Science Ltd
  • Height: 230 mm
  • Series Title: Developments in Civil Engineering S.
  • ISBN-10: 0444989900
  • Publisher Date: /06/1988
  • Binding: Hardback
  • Language: English
  • Width: 150 mm


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Analysis of Skeletal Structural Systems in the Elastic and Elastic-plastic Range: (Developments in Civil Engineering S.)
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Analysis of Skeletal Structural Systems in the Elastic and Elastic-plastic Range: (Developments in Civil Engineering S.)
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