Abstract

Basic assumptions are proposed for the continuity model of a tubular hollow slab combined with continuity analysis and calculation of a finite-element model; the continuity Equation of a tubular hollow slab at the minor axis supported at two ends of the hollow axle under a vertical even load is determined and solved. The overall equivalent flexural rigidity is then determined, which provides important conditions for the continuity analysis of tubular hollow floor supported along four sides.

Highlights

  • In China, there are three main calculation methods used in the design of cast-in-situ concrete hollow floors, i.e., basic flexure theory method, one-way slab method, and finite-element method. 1) Basic flexure theory method has been widely used in industry but requires relatively large error tolerance

  • The reinforcement can be simplified as the I-shaped section by equal area, centroid, and equal moment of inertia, How to cite this paper: Zhang, R.L. (2015) Equivalent Rigidity at the Minor Axis of Concrete Hollow Slab Based on Continuity Analysis

  • The deflection of the tubular hollow slab supported at two ends along the slab can be used to solve the maximum deflection at the span midpoint of the hollow slab, and the overall equivalent flexural rigidity, by the theory of continuity

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Summary

Introduction

In China, there are three main calculation methods used in the design of cast-in-situ concrete hollow floors, i.e., basic flexure theory method, one-way slab method, and finite-element method. 1) Basic flexure theory method has been widely used in industry but requires relatively large error tolerance. Certain reasonable and necessary assumptions are introduced as follows: 1) The top and bottom of the core tube of the cast-in-situ hollow slab are considered as the upper and lower layers of the continuum, with the arris of slab as the sandwich layer where the effects of bending and shearing are determined. In this way, the structures only connected by the arris of upper and lower slabs become the continuous structure connected by the continuous connecting rods in the whole span, and the connection by the finite points becomes that by the infinite points, with the bending, shearing, and axial force considered.

Solutions for the Differential Equation
Numerical Simulation
Finite Element Model
Numerical Results
Comparisons and Verifications
Conclusion

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