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Home > Publications > International Concrete Abstracts Portal
The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.
Title: Does Bernoulli’s Hypothesis Apply to Differential Shrinkage Problems?
Author(s): J. Silfwerbrand
Publication: Special Publication
Appears on pages(s): 279-292
Keywords: Bernoulli’s hypothesis; differential shrinkage; strain measurements
Abstract:Differential shrinkage - shrinkage difference between an old concrete substrate and a new-cast concrete overlay - causes stresses of substantial magnitude in repaired concrete structures. Consequently, it is important to determine normal stresses in the overlay and in the substrate as well as shear stresses in the interface. The literature on differential shrinkage problems goes back to the 1950s. Most theories use Bernoulli’s hypothesis as an important assumption. Bernoulli’s hypothesis states that plane sections remain plane after bending. It facilitates the computations. In this paper, Swedish laboratory tests on overlaid concrete beams have been reconsidered to test the validity of Bernoulli’s hypothesis. Strain measurements across the beam depth support Bernoulli’s hypothesis. Still the ultimate and generally accepted theory for computing stresses and strains in composite concrete structures subjected to differential shrinkage is missing but this paper shows that Bernoulli’s hypothesis may constitute one of the foundation-stones in such a theory.
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