Abstract

The force analysis of reinforced concrete flexural members are usually focused on the limit state that the strain at the edge of the compressive zone of concrete reaches its ultimate compressive strain. However, it is necessary to analyze and calculate the force and deformation under non-limit state in many case. In this paper, the flexural and deformation properties of reinforced concrete beam under non-limit state were studied. Firstly, a program was compiled to analyze the stress distribution in the compression zone of concrete under non-ultimate state, and the stress graph was equivalent to a rectangular stress graph. The numerical results of the stress equivalent coefficient and the height equivalent coefficient of the compression zone were obtained, and the variation curve of the equivalent coefficient was drawn. Secondly, the practical calculation formulas were proposed to calculate the equivalent coefficient of the compression concrete zone under non-limit state by curve fitting. Then, the calculation method of reinforced concrete flexural beams under non-limit state was analyzed by the equivalent coefficient formulas. Finally,a calculation example of flexural bearing capacity of reinforced concrete beams under non-limit state was given.

Highlights

  • IntroductionThe "Code for design of concrete structures"[1] gives values for various concrete equivalent coefficient with different grades including in α1 and β1

  • The "Code for design of concrete structures"[1] gives values for various concrete equivalent coefficient with different grades including in α1 and β1. This equivalence is only applicable to the limiting state of compressive strain at the edge of concrete in the compression zone

  • Some references had studied the influence of the initial strain on the ultimate bearing capacity of the beam [3], the influencing factors of the lagging strain [4], the lagging strain effect [5] and the calculation formula of the lagging strain [6]

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Summary

Introduction

The "Code for design of concrete structures"[1] gives values for various concrete equivalent coefficient with different grades including in α1 and β1. Some references had studied the influence of the initial strain on the ultimate bearing capacity of the beam [3], the influencing factors of the lagging strain [4], the lagging strain effect [5] and the calculation formula of the lagging strain [6]. Reference [7] considered different failure modes, and obtained the formula for calculating the bearing capacity of a normal section of reinforced concrete beams. The practical calculation method of equivalent coefficient under non-limit state was given. The calculation method of section force of reinforced concrete beam under non-limit state was analyzed. The corresponding calculation formula and several calculation examples under non-limit state were demonstrated

Stress analysis of the concrete compression zone under non-limit state
Numerical analysis procedures
Equivalent coefficient curves
C80 Simulation
C50 Formula C80 Formula
Force analysis of normal section under bending moment
Calculation examples of reinforced concrete beam
Limit state analysis of beams
Conclusions
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