Ultimate Strength of Reinforced Concrete Arches


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Title: Ultimate Strength of Reinforced Concrete Arches

Author(s): O.P. Jain

Publication: Journal Proceedings

Volume: 57

Issue: 12

Appears on pages(s): 697-714

Keywords: none

Date: 12/1/1960

As the load on an arch increases gradually, the portion of the rib near the section of maximum moment starts show- ing plastic deformations which result in an increase of horizontal thrust in the arch above that given by the elastic theory. This causes a reduction of maximum positive mo- ment and an increase of maximum negative moment and thus the maximum moment in the arch is reduced resulting in a greater load bearing capacity of the arch. It is found that the actual ultimate strength of two-hinged arches of uniform section for various patterns of loading is 50 to 100 percent greater than the ultimate strength given by elastic theory. A method of calculation is presented which takes into account these plastic deformations. Complete agree- ment is found between the theoretical and test results. Although the calculations refer only to a single concen- trated load on the arch, the same approach can be applied to find the ultimate strength for other loading patterns (including dead load).