Reliability of buildings in service limit state for maximum horizontal displacements

Brazilian design code ABNT NBR6118:2003 - Design of Concrete Structures - Procedures - [1] proposes the use of simplified models for the consideration of non-linear material behavior in the evaluation of horizontal displacements in buildings. These models penalize stiffness of columns and beams, representing the effects of concrete cracking and avoiding costly physical non-linear analyses. The objectives of the present paper are to investigate the accuracy and uncertainty of these simplified models, as well as to evaluate the reliabilities of structures designed following ABNT NBR6118:2003[1&] in the service limit state for horizontal displacements. Model error statistics are obtained from 42 representative plane frames. The reliabilities of three typical (4, 8 and 12 floor) buildings are evaluated, using the simplified models and a rigorous, physical and geometrical non-linear analysis. Results show that the 70/70 (column/beam stiffness reduction) model is more accurate and less conservative than the 80/40 model. Results also show that ABNT NBR6118:2003 [1] design criteria for horizontal displacement limit states (masonry damage according to ACI 435.3R-68(1984) [10]) are conservative, and result in reliability indexes which are larger than those recommended in EUROCODE [2] for irreversible service limit states.

Reliability algorithms applied to reinforced concrete structures durability assessment

This paper addresses the analysis of probabilistic corrosion time initiation in reinforced concrete structures exposed to ions chloride penetration. Structural durability is an important criterion which must be evaluated in every type of structure, especially when these structures are constructed in aggressive atmospheres. Considering reinforced concrete members, chloride diffusion process is widely used to evaluate the durability. Therefore, at modelling this phenomenon, corrosion of reinforcements can be better estimated and prevented. These processes begin when a threshold level of chlorides concentration is reached at the steel bars of reinforcements. Despite the robustness of several models proposed in the literature, deterministic approaches fail to predict accurately the corrosion time initiation due to the inherently randomness observed in this process. In this regard, the durability can be more realistically represented using probabilistic approaches. A probabilistic analysis of ions chloride penetration is presented in this paper. The ions chloride penetration is simulated using the Fick's second law of diffusion. This law represents the chloride diffusion process, considering time dependent effects. The probability of failure is calculated using Monte Carlo simulation and the First Order Reliability Method (FORM) with a direct coupling approach. Some examples are considered in order to study these phenomena and a simplified method is proposed to determine optimal values for concrete cover.

Shear force and torsion in reinforced concrete beam elements: theoretical analysis based on Brazilian Standard Code ABNT NBR 6118:2007

Reinforced concrete beam elements are submitted to applicable loads along their life cycle that cause shear and torsion. These elements may be subject to only shear, pure torsion or both, torsion and shear combined. The Brazilian Standard Code ABNT NBR 6118:2007 [1] fixes conditions to calculate the transverse reinforcement area in beam reinforced concrete elements, using two design models, based on the strut and tie analogy model, first studied by Mörsch [2]. The strut angle θ (theta) can be considered constant and equal to 45º (Model I), or varying between 30º and 45º (Model II). In the case of transversal ties (stirrups), the variation of angle α (alpha) is between 45º and 90º. When the equilibrium torsion is required, a resistant model based on space truss with hollow section is considered. The space truss admits an inclination angle θ between 30º and 45º, in accordance with beam elements subjected to shear. This paper presents a theoretical study of models I and II for combined shear and torsion, in which ranges the geometry and intensity of action in reinforced concrete beams, aimed to verify the consumption of transverse reinforcement in accordance with the calculation model adopted As the strut angle on model II ranges from 30º to 45º, transverse reinforcement area (Asw) decreases, and total reinforcement area, which includes longitudinal torsion reinforcement (Asℓ), increases. It appears that, when considering model II with strut angle above 40º, under shear only, transverse reinforcement area increases 22% compared to values obtained using model I.

Flexural strengthening of reinforced concrete beams with carbon fibers reinforced polymer (CFRP) sheet bonded to a transition layer of high performance cement-based composite

Resistance to corrosion, high tensile strength, low weight, easiness and rapidity of application, are characteristics that have contributed to the spread of the strengthening technique characterized by bonding of carbon fibers reinforced polymer (CFRP). This research aimed to develop an innovate strengthening method for RC beams, based on a high performance cement-based composite of steel fibers (macro + microfibers) to be applied as a transition layer. The purpose of this transition layer is better control the cracking of concrete and detain or even avoid premature debonding of strengthening. A preliminary study in short beams molded with steel fibers and strengthened with CFRP sheet, was carried out where was verified that the conception of the transition layer is valid. Tests were developed to get a cement-based composite with adequate characteristics to constitute the layer transition. Results showed the possibility to develop a high performance material with a pseudo strain-hardening behavior, high strength and fracture toughness. The application of the strengthening on the transition layer surface had significantly to improve the performance levels of the strengthened beam. It summary, it was proven the efficiency of the new strengthening technique, and much information can be used as criteria of projects for repaired and strengthened structures.

Shear strength of reinforced concrete circular cross-section beams

A proposed adequation of NBR 6118, Item 7.4, related to shear strength of reinforced concrete beams is presented with aims to application on circular cross-section. The actual expressions are most suitable to rectangular cross-section and some misleading occurs when applied to circular sections at determination of VRd2, Vc and Vsw, as consequence of bw (beam width) and d (effective depth) definitions as well as the real effectiveness of circular stirrups. The proposed adequation is based on extensive bibliographic review and practical experience with a great number of infrastructure elements, such as anchored retaining pile walls, where the use of circular reinforced concrete members is frequent.

Design of compression reinforcement in reinforced concrete membrane

This paper presents a method to design membrane elements of concrete with orthogonal mesh of reinforcement which are subject to compressive stress. Design methods, in general, define how to quantify the reinforcement necessary to support the tension stress and verify if the compression in concrete is within the strength limit. In case the compression in membrane is excessive, it is possible to use reinforcements subject to compression. However, there is not much information in the literature about how to design reinforcement for these cases. For that, this paper presents a procedure which uses the model based on Baumann's [1] criteria. The strength limits used herein are those recommended by CEB [3], however, a model is proposed in which this limit varies according to the tensile strain which occur perpendicular to compression. This resistance model is based on concepts proposed by Vecchio e Collins [2].

O edifício da FAUUSP e os materiais do brutalismo

O trabalho analisa a história da produção do edifício da Faculdade de Arquitetura e Urbanismo da Universidade de São Paulo, projetado por João Batista Vilanova Artigas (1915-1985) em 1961 e concluído em 1969. Mais especificamente, o artigo se volta aos materiais do edifício, oferecendo insumos para uma discussão sobre o papel do chamado “brutalismo paulista” na década de 1960. O edifício da FAUUSP, como se sabe, é um marco na arquitetura moderna brasileira. Seu caráter paradigmático consiste na síntese das posições programáticas de Artigas, tanto em relação ao ensino de arquitetura como em relação à poética moderna, que ultrapassa o limite autoral e constitui uma escola. São características dessa escola – por vezes chamada de “paulista”, “brutalista” ou “artiguista” – alguns princípios como a continuidade espacial, o elogio das formas estruturais, a verdade dos materiais e o desenvolvimento das forças produtivas através da superação tecnológica. Esses princípios respondiam a algumas das questões mais urgentes da arquitetura moderna brasileira naquele período, deslocando a nova monumentalidade para uma dimensão construtiva. A nova poética, claramente exposta no projeto da FAUUSP, coincide com o surgimento de uma estética que atribuiu um novo valor político e crítico à produção. Passam a ser frequentes, por exemplo, interpretações do concreto armado brasileiro como síntese do subdesenvolvimento, por suas marcas de feitura artesanal e seus recordes tecnológicos. O objetivo deste artigo é contribuir com esse debate caracterizando em detalhe a produção do edifício em seus materiais: o concreto armado, a esquadria, os materiais de acabamento e os componentes industriais. O exame de aspectos históricos da produção do edifício, recolhidos em documentos originais e depoimentos, permite verificarmos de que modo a poética arquitetônica participa das decisões da obra e qual o seu impacto na economia do edifício e em sua forma de produção. Aprendemos, por exemplo, que o concreto armado apresenta manifestações visuais distintas e independentes de seu modo de produção (que foram pelo menos três: moldado in loco, protendido, e com agregados leves, sem função estrutural); que a empena da fachada exigiu uma fundação própria para seu cimbramento; que a modulação dos caixilhos não correspondia à modulação da estrutura; que a resina epóxi foi usada de modo pioneiro e experimental; que as fôrmas foram produzidas por um hábil carpinteiro português, mas as relações de trabalho eram precárias; que a contratação do projeto básico previa o detalhamento durante a obra pelo Escritório Técnico do Fundo para a Construção da Cidade Universitária. Essa noção ampla de material, entendida como a matéria mais o trabalho social que a define historicamente, nos permite tratar, simultaneamente, de aspectos técnicos, econômicos e artísticos da obra e assim compreender com maior exatidão dos termos do debate acerca da produção na arquitetura “brutalista” e seu papel político.