Abstract

Abstract This research investigates reinforced concrete plates and shells with skew reinforcement whose directions are not aligned with the principal internal forces. Two normal forces, one tangential force, two bending moments, and one twisting moment are defined in the plane of the element. The analysis includes two shear forces in the transverse direction. The membrane and flexural forces are distributed between two panels at the upper and lower faces of the element. The smeared cracking model, equilibrium considerations, and plasticity approach yield the design equations of the skew reinforcement. The slab reinforcement of flat bridges, with and without lateral beams and girder bridges are compared considering different skew angles. The minimum reinforcement criteria of skew meshes are discussed. The results show that skew reinforcement yields higher steel and concrete stresses.

Highlights

  • In -plane loads subject reinforced concrete shell elements to biaxial stresses and transverse loads subject them to triaxial stresses

  • The results show that skew reinforcement yields higher steel and concrete stresses

  • Based on the plasticity approach, Nielsen [2] established the design equations for the orthogonal reinforcement of a concrete panel subjected to membrane forces

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Summary

Introduction

In -plane loads subject reinforced concrete shell elements to biaxial stresses and transverse loads subject them to triaxial stresses. Based on the plasticity approach, Nielsen [2] established the design equations for the orthogonal reinforcement of a concrete panel subjected to membrane forces. Baumann [5] established the equilibrium equations for a reinforced concrete shell element subjected to membrane forces, flexural moments, and torsional moments by distributing the internal forces between two panel elements on the upper and lower faces of the shell. Schulz [8] presented a rational theory for reinforced concrete shell elements subjected to flexural moments, torsional moments and in-plane forces. Schulz [11] applied the smeared cracked panel theory to thin-walled reinforced concrete beams by considering the normal and shear forces, bending moments, Saint-Venant torsion, warping torsion, and bimoment. This paper discusses the mechanical behavior of reinforced concrete shell elements and the skew reinforcement design for concrete bridge decks by considering in-plane internal forces and transverse shear forces. The results show that skew reinforcement yields higher steel and concrete stresses

Simplifying hypotheses
Distribution of internal forces between two panel elements
Skew reinforcement design for concrete panels
Minimum reinforcement for skew meshes
Examples
Flat bridges without lateral beams
Flat bridges with lateral beams
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