NONLINEAR DYNAMIC RESPONSE OF REINFORCED CONCRETE CIRCULAR ARCHES.
MASSACHUSETTS INST OF TECH CAMBRIDGE SCHOOL OF ENGINEERING
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A method is developed for predicting the response and the ultimate load carrying capacity of reinforced concrete circular arches under dynamic loading. The arch may be hinged or clamped at the ends. A set of differential equations and boundary conditions governing the behavior of reinforced concrete arches under dynamic loading is formulated. These equations are derived by considering the arch element in its deformed state. The force-strain relations are formulated by assuming a nonlinear stress strain curve for concrete and a bilinear stress strain curve for steel. The governing differential equations are converted into difference equations which, together with the force-strain relations, are solved by a step by step method of numerical integration. A program for the IBM 7094 computer is prepared to handle extensive computations involved. The influence of a few parameters on the response and the load carrying capacity of a particular arch is studied. Author