An Application Of Minimum-Norm Stress Analysis To Ultimate Limit State Design Of Framed Structures

摘要

The first author proposed in the past a technique of minimum-norm stress analysis to choose a design stress field in equilibrium with ultimate design loads. This paper reformulates the technique based on the sum of weighted square stress that represents designer's dissatisfaction to a stress field chosen. As for a beam-column member, weights for squares of bending moment and axial force are proposed on the basis of an elliptic approximation of yield surface. Also, another interpretation is presented that the technique is equivalent to perform a linear-elastic stress analysis on a rigid-body spring model of a frame.