Load Path Analysis of Structures under Distributed Loading

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  • MATSUNAGA Takuya
    慶應義塾大学大学院理工学研究科総合デザイン工学専攻
  • NAKADA Tatsuya
    慶應義塾大学大学院理工学研究科総合デザイン工学専攻
  • HANAZATO Masashi
    慶應義塾大学大学院理工学研究科総合デザイン工学専攻
  • INOUE Kengo
    慶應義塾大学大学院理工学研究科総合デザイン工学専攻
  • TAKAHASHI Kunihiro
    Department of Mechanical Engineering, Keio University

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  • 分布荷重を受ける構造物における荷重経路解析
  • ブンプ カジュウ オ ウケル コウゾウブツ ニ オケル カジュウ ケイロ カイセキ

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Abstract

A parameter U^*, which is independent of stress and strain, has been introduced by the authors for expressing load transfer and load paths in a given structure. The conventional U^* is defined by the energy caused by displacement at the loading point. Since it is necessary to constrain an arbitrary point during the estimation of U^*, the value of U^* cannot be calculated for a point under distributed displacement. Hence, to overcome this difficulty, a new parameter U^<**> has been developed in our study. The parameter U^<**> is defined by the complementary energy caused by force at the loading point. A mathematical formulation with complementary energy and stiffness matrices is demonstrated, which can be used for rapid and efficient computation of U^<**>. The parameter U^<**> is used for expressing load transfer in the case of a reinforced rectangular plate under the condition of out-of-plane distributed loading.

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