Abstract
Shape optimization problem of a hinged-clamped beam that is subjected to a concentrated load is reconsidered analytically. Previous report had said that the actual most suitable form within the same volume existed only in the case that the load was in a hinged end side of the span. However, it was found after solving the problem by an iterative method which used numerical integration that there existed several local solutions in which the deflection angle were discontinuous at their inner hinge points where their cross sectional areas were zero. In this paper, the characteristics of local solutions are investigated analytically.
