Abstract: The importance of constraining the rate of spatial change of cross-sections in optimal design has been presented in previous studies. In the context of plastically designed beams, a theory is proposed for optimizing ...

Abstract: After reviewing existing duality principles for structures with continuously variable cross-section (i.e. structures without segmentation), optimality criteria and duality principles are presented for structures with ...

Abstract: A general theory is presented for optimizing the layout of elastic structures for a prescribed deflection at a given point. This development is an extension of an earlier layout theory which was derived in the context of ...

Abstract: This paper concerns a general theory for elastic structures with prescribed deflections and constrained ``taper'' (= rate of spatial change of the cross-sectional area). The proposed theory is applied to minimum weight ...