Circular Voided Concrete Slab Stiffnesses

by G. Elliott, Lect.; Dept. of Engrg., Univ. of Lancaster, Lancaster, England,
L. A. Clark, Lect.; Dept. of Civ. Engrg., Univ. of Birmingham, England,

Serial Information: Journal of the Structural Division, 1982, Vol. 108, Issue 11, Pg. 2379-2393

Document Type: Journal Paper


Finite element procedures for determining the plate bending stiffnesses of a circular voided slab are presented and the results are compared with those obtained from tests on model elastic voided plates. Preliminary investigations showed that a simplified plane-strain formulation, rather than a more complex general plane-strain formulation, could be used to determine the transverse flexural stiffness. Torsional stiffnesses were obtained from an analysis using the Prandtl stress-function formulation of the torsion problems. Tests were carried out on four epoxy-resin model plates having different void sizes. Good agreement was obtained between the finite element and experimental results. For design purposes, charts are presented which enable a designer of a concrete voided slab, having a Poisson's ratio of 0.2, to determine the values of the plate bending stiffnesses required for a thin plate analysis of such a slab. It is also shown that simple calculations based upon replacing a circular void with an equivalent square void are often adequate for design purposes.

Subject Headings: Plates | Voids | Concrete slabs | Stiffening | Finite element method | Bending (structural) | Plane strain | Torsion

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