はり柱理論を基礎としたハイブリッド型応力法接合部要素

摘要

本研究は，壁式構造あるいは壁を有する架構を主要な解析対象に，はり柱理論を基礎とした，Timoshenko はり柱要素，2次元要素，接合部要素等のハイブリッド型応力法有限要素の開発，提案を行うと共に，これ等の要素を一体的に組み込んだ壁付き建築架構解析システムの構築を目的としたものであり，文献等では，断面の上下面で，壁あるいはバネ等の他の構造要素と連結されたはり柱を対象に，連結要素から受ける内力や，せん断応力，せん断変形の影響を正当に，又，統一的に評価したハイブリッド型応力法Timoshenkoはり柱要素の誘導を行った。%A new and effective hybrid stress connection finite element, based on the plane beam-column theory and considering the bi-axial effect in stresses and strains, is developed. The modified Timoshenko's beam-column theory is applied in the lateral and vertical directions of the connection. Also, using the so-called semi-inverse method in the several directions, the shearing stresses as well as the axial normal ones are prepared in expression of resultant stresses of the beam-column. The characteristic stress fields of the present connection element are composed of two various fields. According to the standard hybrid stress finite element procedure shown in the previous papers, a new connection finite element with the present stress field is derived. The availability and the applicability of the present approach are, with aid of several numerical tests, discussed and examined.