軸力と曲げの耐力相関を考慮した骨組構造物のマトリクス極限解析法

概要

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This paper presents an easy modeling of a framed structure suitable to calculate its load-carrying capacity considering interacted bending and axial resistances. An efficient linear-programming technique proposed by Livesley, termed Compact Procedure, is applied to a 2D or 3D frame model including multi-spring joints, where a plastic hinge is replaced by a set of rigid-plastic uni-axial springs, where it is not required to recognize the whole interaction surface of resistances at a plastic portion. A few shapes of interaction surfaces are also presented for users' conveniences: a square hollow section and a H-shaped section are approximated by a simple 8-spring layout, respectively, and their 3D interaction surfaces are solved by an exhaustive enumeration method based on the convex set theory. The results agree fairly well with the existing design formulas for interacted bi-axial bending and axial resistances.
2001-01-30