NONLINEAR DYNAMIC RESPONSE OF REINFORCED CONCRETE CIRCULAR ARCHES.

Abstract

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0602045

Entities

People

  • Indravadan K. Shah

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Concrete
  • Difference Equations
  • Differential Equations
  • Dynamic Response
  • Equations
  • Numerical Integration
  • Payload
  • Reinforced Concrete
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Hydraulic Engineering.
  • Structural Health Monitoring of Composite Structures.