Analysis of reinforced concrete building slabs with physical nonlinearity

Author(s)

Richard Sarzi Oliveira

• Document type: Master's Dissertation
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD)
• Defense date: 1997-05-19

Examining board members

Marcio Roberto Silva Corrêa; Aloísio Ernesto Assan; Sergio Persival Baroncini Proença

• Advisor: Marcio Roberto Silva Corrêa

Abstract

This work deals with the natural evolution of the design model based on linear elasticity, widely employed on reinforced concrete slabs designs, to a improved design model. The consideration of physical nonlinearity of the reinforced concrete is introduced into a finite element computational system by nonlayered models with generalization of the formulation to the bending moment field. The beam element is treated in a uniaxial field, with bending moment yielding. In the plate element it is established the Von Mises yield criterion with associative laws particularized to the plane stress. These stresses are integrated along the element depth, enabling to write the criterion with plate bending moments. At last, the beam and the plate models are incorporated into a computational system, resulting in a reinforced concrete slabs analysis system. The characterization of the cross section physical behavior is made by a trilinear bending moment-curvature diagram. The application of the proposed model to isolate structural elements and to a conventional slab confirms the improvement of the finite element system and the required computational analysis times show the feasibility of the nonlinear model application into usual reinforced concrete slab design. (AU)