Titlebook: Structural Optimization; Volume 1: Optimality M. Save,W. Prager,W. H. Warner Book 1985 Plenum Press, New York 1985 linear optimization.mate

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Review of Some Basic Concepts and Theorems of Structural Analysis,In this section some basic concepts of structural theory will be reviewed. Throughout the general discussion the example of a propped cantilever beam will be used to illustrate the concepts. This horizontal beam is built-in at its left end . = 0 and has a fixed simple support at its right end . = ..

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Problem Formulation and Optimality Criteria,The following concepts prove useful in the formulation of problems of optimal design.

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Solutions to Exercises,The two first equations of equilibrium Eq. (1.3), remain valid, but the third must be replaced by

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Optimal Design of Beams and Frames,oss section. A design for the beam is the prescription of a yield-moment (fully plastic moment) distribution along the beam. Piecewise constant designs will be considered first; continuous designs will be discussed at the end of this section. The following assumptions are made concerning layout, constraints, and specific cost.

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