Analysis of Elastic Arches: Three-Hinged, Two-Hinged, and Hingeless of Steel, Masonry, and Reinforced Concrete (Classic Reprint) - Tapa dura

Excerpt from Analysis of Elastic Arches: Three-Hinged, Two-Hinged, and Hingeless of Steel, Masonry, and Reinforced Concrete

It may generally be said that the stresses in the arch are defined by an intersection locus and tangent curves; when these are once found, the special graphical method is readily applicable.

All arches have their own loci and tangent curves; the author found, in addition, that they have a property in common, namely, the area enclosed by the arch axis and the straight line joining its ends. All changes in the form of the arch can be expressed in terms of this characteristic. This led at once to the conclusion that the characteristic, or the elements expressed by it, viz., the intersection locus and the tangent curves, could be reduced to a standard, and that any changes in form could be reduced to factors which referred to this standard.

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