Reinforcement Calculation of Circular and Annular Cross Section

doi:10.17559/tv-20190709112144

Abstract

Highlights

Members with circular or annular section shapes have low resistance to fluid and are commonly used in engineering structures, such as piers, water towers, etc
The obtained dimensionless design charts can be applied to all load cases, such as uniform tension, tension with a small and large eccentricity, pure bending, compression with a large and small eccentricity and uniform compression
Analytical calculating reinforcement area of the circular and annular cross sections is generally needed to solve transcendental equations, which are provided in some specifications, for example in chinses code [1,2]

Summary

INTRODUCTION

Members with circular or annular section shapes have low resistance to fluid (wind, water) and are commonly used in engineering structures, such as piers, water towers, etc. Analytical calculating reinforcement area of the circular and annular cross sections is generally needed to solve transcendental equations, which are provided in some specifications, for example in chinses code [1,2]. Among them some are obtained analytical formulas [16,17,18,19] and some others are numerical calculations [14, 15] To overcome these shortcomings some design chats are made in this paper for quick calculating reinforcement area or for checking strength of the circular and annular cross sections. For more accuracy instead of the rectangular stress block, the stress-strain curves of concrete and reinforcement adopted in reference 1are applied to derive formulas. It should be noted that all strain values take the values before the symbol of per thousand, i.e. are not divided by 1000

Division of the Whole Possible Strain Distributions Into 5 Strain Regions

Computation Cross Section Stress and Internal Force

Calculation of Stress and Internal Force of Reinforcement Ring

Calculation of Reinforcement of Annular Section

EXAMPLES

CONCLUSIONS