テーパー梁の応力分布:-鉄骨木質構造の研究 その3- STRESS DISTRIBUTION IN TAPERED BEAM:—Study on steel-framed timber structures Part 3—

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Author(s)

    • 桑村 仁 KUWAMURA Hitoshi
    • 東京大学大学院工学系研究科建築学専攻 教授・Ph. D. Prof., Dept. of Architecture, The Univ. of Tokyo, Ph. D.

Abstract

Stress distribution in a tapered beam is an important issue in timber engineering, because splitting failure is possibly initiated at the taper edge. The conventional formula for the stress distribution after Maki and Kuenzi, which is adopted in current manuals of timber construction, is based on elementary mechanics assuming the Bernoulli-Euler hypothesis. However, it is not a correct solution for tapered beams, because it does not satisfy the strain compatibility as well as the boundary condition. In fact, many test data show that splitting occurs at a position apart from the maximum stress point given by the elementary solution. In this paper, exact stresses in tapered beams were derived by using stress functions in mathematical theory of elasticity. The solution was compared with those of elementary mechanics and FEM for some typical cases. It was found that the elementary solution has an unacceptable level of errors when the taper slope is greater than 0.2 or when the entire beam depth is less than three times the depth at the support.

Journal

  • Journal of Structural and Construction Engineering (Transactions of AIJ)

    Journal of Structural and Construction Engineering (Transactions of AIJ) 74(635), 83-90, 2009

    Architectural Institute of Japan

Codes

  • NII Article ID (NAID)
    130004507557
  • Text Lang
    UNK
  • ISSN
    1340-4202
  • Data Source
    J-STAGE 
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