1951•Transactions of the Japan Society of Civil EngineersOpen access

NEW FORMULA FOR THE AXIAL LINE OF THE TRANSFORMED CATENARY ARCH (Report 1)

Eikichi Takeda

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Abstract

Transformed Catenary is generally considered as the most rational axial line for the reinforced concrete arch. One can not miss the wellknown Strassner's formula which assumes a horizontal top surface of reduced load on the arch. But even if the road surface be actually horizontal, the load reduced, to concrete can not have a horizontal top surface. In most cases, the reduced load surface takes the form of a curved surface convex to heaven.Consequently, there must be a more rational formula for the axial line of the transformed catenary arch. The writer has long been studying this problem and now he is glad to offer a new formula in the following papers.

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Transformed Catenary is generally considered as the most rational axial line for the reinforced concrete arch. One can not miss the wellknown Strassner's formula which assumes a horizontal top surface of reduced load on the arch. But even if the road surface be actually horizontal, the load reduced, to concrete can not have a horizontal top surface. In most cases, the reduced load surface takes the form of a curved surface convex to heaven.Consequently, there must be a more rational formula for the axial line of the transformed catenary arch. The writer has long been studying this problem and now he is glad to offer a new formula in the following papers.

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Available abstract

Transformed Catenary is generally considered as the most rational axial line for the reinforced concrete arch. One can not miss the wellknown Strassner's formula which assumes a horizontal top surface of reduced load on the arch. But even if the road surface be actually horizontal, the load reduced, to concrete can not have a horizontal top surface. In most cases, the reduced load surface takes the form of a curved surface convex to heaven.Consequently, there must be a more rational formula for the axial line of the transformed catenary arch. The writer has long been studying this problem and now he is glad to offer a new formula in the following papers.

Key concepts: Catenary, Arch, Line (geometry), Surface (topology), Regular polygon, Structural engineering, Horizontal line test, Geometry

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