Ex Example. Optimal design of a beam.
Example. Optimal design of a composite. The best structure to resist a one dimensional loading is laminate. It remain the optimal structure for any close to one-dimensional loading.
|The best structure against a uniaxial loading is again the laminate:||Picture||The project is extremely unstable to any other loading: it is collapsing as the deck of cards if any loading different from the uniaxial is applied./TR>.|
|Suppose that admissible loadings are the following:||Picture||Picture||Picture|
Similarly, optimal design of a wheel requires the axial symmetry of the design in spite of the non-symmetry of the loading.