1958•Transactions of the Japan Society of Civil EngineersOpen access

DEFINITION OF ELASTIC CENTER IN STATICALLY INDETERMINATE STRUCTURES

Shizuo Shimada

Abstract

The elastic structures which have various inner or outer restrictions are statically indeterminate. The equilibrium equations are always simultaneous equations concerning the statically indeterminate forces. A method of affine-transformation induces an idea that is like an elastic center in affine space of n-order. The author shows a general explanation in the solutions of statically indeterminate structures.

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Key concepts: Statically indeterminate, Indeterminate, Affine transformation, Mathematics, Center (category theory), Transformation (genetics), Mathematical analysis, Geometry