1951Transactions of the Japan Society of Civil EngineersOpen access

NEW FORMULA FOR THE AXIAL LINE OF THE TRANSFORMED CATENARY ARCH (Report 2)

Eikichi Takeda

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Abstract

Ordinary transformed catenary arch is subjected to a reduced load whose upper rim is a straight line and lower rim the arch itself. Considering the actual load condition, writer obtained a solution for an arch whose reduced load being represented by a cubic parabola for its upper rim and the lower rim the arch itself. Comparing this arch to the ordinary transformed catenary arch, writer found many points to be studied.

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Ordinary transformed catenary arch is subjected to a reduced load whose upper rim is a straight line and lower rim the arch itself. Considering the actual load condition, writer obtained a solution for an arch whose reduced load being represented by a cubic parabola for its upper rim and the lower rim the arch itself. Comparing this arch to the ordinary transformed catenary arch, writer found many points to be studied.

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Available abstract

Ordinary transformed catenary arch is subjected to a reduced load whose upper rim is a straight line and lower rim the arch itself. Considering the actual load condition, writer obtained a solution for an arch whose reduced load being represented by a cubic parabola for its upper rim and the lower rim the arch itself. Comparing this arch to the ordinary transformed catenary arch, writer found many points to be studied.

Key concepts: Catenary, Arch, Line (geometry), Structural engineering, Parabola, Geometry, Mathematics, Engineering

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