Introduction. Mathematical formulation of structural optimization problems. Structural design optimization approaches. Reviews of structural analysis procedures: elastic analysis, plastic analysis of framed structures. Re-analysis methods: direct methods, iterative methods and approximate methods.

Optimality criteria methods: fully stressed design, displacement limited design. Linear programming: problem formulation and method solution. Non-linear programming: methods for unconstrained minimization, penalty function methods, methods of feasible directions. Applications: steel elements, plastic design by linear programming, optimal design of elastic grillages.

Refrerences:

1.An Introduction to Structural Optimization by Peter W. Christensen and Anders Klarbring
2009, Springer

2. Engineering Optimization by Singiresu S. Rao
2009, 4th Edition, JOHN WILEY & SONS, INC