4) 鉄筋コンクリート角筒型折板構造の崩壊時に於ける釣合条件 : 折板構造の破壊に関する研究・その7

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タイトル別名
  • 4) EQUILIBRIUM CONDITIONS FOR REINFORCED CONCRETE PRISMATIC FOLDED PLATE STRUCTURES AT COLLAPSE : Research For failure of Folded Plate Structures, No. 7.
  • 折板構造の破壊に関する研究-7-
  • ヘギイタ コウゾウ ノ ハカイ ニ カンスル ケンキュウ 7

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抄録

This paper is a part of the research series to find out the methods of limit analysis on various types of folded plate structures. From the lower bound theorem of limit analysis, if a stress field is found which is in equilibrium with given loads (system and value), and not violate yield conditions over the entire structure, then such a load value is one of the lower bounds for collapse load of the structure. Now, if in the case of finding a statically admissible field of stresses, we consider a collapse state satisfying mechanism conditions, lower bound may be found better with relatively less effort. The author has written about the mechanism conditions of prismatic folded plate structures in the transactions of A.I.J. in Oct. 1958 and Oct. 1960, and on yield curves for cross section at yield hinge line in the transactions of Oct. 1959 and Oct. 1960. In this paper, the equations of equilibrium between stress resultants of yield hinge lines and loads on each collapse fragments of plates respectively are derived first, and then continuity and the compatibility conditions between resultant forces and moments at both sides of cross section of each hinge lines res pectively are shown. The compatibility conditions considering the properties of reinforced concrete at yield hinge lines along edge lines of the structure are especially important problem for analyzing by the use of equilibrium equations. Finally, the correcting methods of each equilibrium equations in the case that loads are applied at edge lines, are shown. In addition, the contents of the previous references and this paper and their usage were described in my thesis written in dec. 1960.

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