A recente revisão da NBR 7190/97 culminou em avanços inegáveis no projeto das estruturas de madeira. As excentricidades acidentais, amplificação das excentricidades e efeitos da fluência incidem diferentemente no cálculo das peças curtas, medianamente esbeltas ou esbeltas, estabelecendo descontinuidades nos diagramas de esforços de projeto em função da esbeltez das barras comprimidas ou flexocomprimidas. Associando-se a outras particularidades, como a complexidade de algumas de suas expressões, esse modelo tem sido alvo freqüente de críticas. Neste trabalho são avaliados os critérios propostos para a verificação da estabilidade de peças de madeira serrada, nas solicitações de compressão e flexo-compressão, pelos documentos normativos: alemão, australiano, canadense, europeu e norte-americanos. Essas recomendações são confrontadas com as da norma brasileira, comparando-se a objetividade dos métodos e os resultados alcançados. A proposição da AF&PA/ASCE 16-95/96 para o dimensionamento das peças comprimidas demonstra grande praticidade e continuidade nos diagramas Nd x 'lâmbda', evitando as críticas que se conectam aos critérios da norma brasileira. Por outro lado, as prescrições dessa mesma norma para as peças flexocomprimidas – embasadas em argumentos teóricos convincentes – evitam as deficiências constatadas nas propostas da norma brasileira, concordando com os propósitos de sugestão para uma necessária reformulação normativa / The recent revision of NBR 7190/97 culminated in undeniable progresses in the project of the timber structures. The accidental eccentricities, amplification of the eccentricities and the creep effects happen differently in calculation of the short members, the middling slenders or the slenders ones, establishing discontinuities in the diagrams of the design forces in function of slenderness of the members in compression and in combined bending and axial compression. Being associated to other particularities, as the complexity of some of its equations, that model has been often criticized. In this work, the proposed criteria for the verification of the stability of sawed timber members – in compression and in combined bending and axial compression – are appraised for the following normative documents: german, australian, canadian, european and north americans. Those recommendations are confronted with the brazilian code ones, comparing the objectivity of the methods and the gained results. The proposition of AF&PA/ASCE 16-95/96 for the compressed members design demonstrates great practicality and continuity in the diagrams of Nd x 'lâmbda', avoiding the critics that are connected to the criteria of the brazilian code. On the other hand, the prescriptions of that same code for the members in combined bending and axial compression – based in convincing theoretical arguments – avoid the deficiencies verified in the proposal of the brazilian code, agreeing with the purposes for suggestion in a necessary normative reformation

A recente revisão da NBR 7190/97 culminou em avanços inegáveis no projeto das estruturas de madeira. As excentricidades acidentais, amplificação das excentricidades e efeitos da fluência incidem diferentemente no cálculo das peças curtas, medianamente esbeltas ou esbeltas, estabelecendo descontinuidades nos diagramas de esforços de projeto em função da esbeltez das barras comprimidas ou flexocomprimidas. Associando-se a outras particularidades, como a complexidade de algumas de suas expressões, esse modelo tem sido alvo freqüente de críticas. Neste trabalho são avaliados os critérios propostos para a verificação da estabilidade de peças de madeira serrada, nas solicitações de compressão e flexo-compressão, pelos documentos normativos: alemão, australiano, canadense, europeu e norte-americanos. Essas recomendações são confrontadas com as da norma brasileira, comparando-se a objetividade dos métodos e os resultados alcançados. A proposição da AF&PA/ASCE 16-95/96 para o dimensionamento das peças comprimidas demonstra grande praticidade e continuidade nos diagramas Nd x 'lâmbda', evitando as críticas que se conectam aos critérios da norma brasileira. Por outro lado, as prescrições dessa mesma norma para as peças flexocomprimidas – embasadas em argumentos teóricos convincentes – evitam as deficiências constatadas nas propostas da norma brasileira, concordando com os propósitos de sugestão para uma necessária reformulação normativa / The recent revision of NBR 7190/97 culminated in undeniable progresses in the project of the timber structures. The accidental eccentricities, amplification of the eccentricities and the creep effects happen differently in calculation of the short members, the middling slenders or the slenders ones, establishing discontinuities in the diagrams of the design forces in function of slenderness of the members in compression and in combined bending and axial compression. Being associated to other particularities, as the complexity of some of its equations, that model has been often criticized. In this work, the proposed criteria for the verification of the stability of sawed timber members – in compression and in combined bending and axial compression – are appraised for the following normative documents: german, australian, canadian, european and north americans. Those recommendations are confronted with the brazilian code ones, comparing the objectivity of the methods and the gained results. The proposition of AF&PA/ASCE 16-95/96 for the compressed members design demonstrates great practicality and continuity in the diagrams of Nd x 'lâmbda', avoiding the critics that are connected to the criteria of the brazilian code. On the other hand, the prescriptions of that same code for the members in combined bending and axial compression – based in convincing theoretical arguments – avoid the deficiencies verified in the proposal of the brazilian code, agreeing with the purposes for suggestion in a necessary normative reformation

Cette thèse s’inscrit dans une démarche d’amélioration des connaissances des instabilités des éléments comprimés et fléchis sensibles aux effets du second ordre. Il s’agit de traiter la prise en compte des imperfections initiales dans l’analyse de la structure et d’adapter les critères actuels de vérification pour les structures tubulaires de type échafaudage. Les formulations existantes, proposées dans la littérature et les codes de calculs, sont souvent issues d’hypothèses, et conduisent à des incohérences entre les critères de vérification en section, et les critères de vérification en instabilité. L’approche développée traite l’interaction entre la résistance en section et les phénomènes d’instabilités, et inclut l’influence des imperfections initiales. Ces effets seront, dans la mesure du possible, découplés. À ce titre, une méthode a été conçue pour permettre la définition des imperfections initiales d’une structure, de manière à être la plus précise possible. Cette méthode, basée sur la définition d’une imperfection unique, d’allure identique à la déformée critique du mode de flambement prépondérant, est une méthode précise, entièrement définie permettant de tenir compte des caractéristiques géométriques, des caractéristiques mécaniques intrinsèques, des conditions aux limites et de la forme du chargement, dans la définition de l’imperfection initiale unique d’une structure. Une campagne d’essai a été réalisée en collaboration avec le SFECE, visant à analyser le comportement expérimental au flambement de sections tubulaires formées à froid. Des essais de flambement sur des échelles d’échafaudage, provenant de divers fournisseurs européens, ont été effectués. Une étude statistique des résultats expérimentaux a permis de mettre en évidence que le facteur d’imperfection actuellement défini pour les sections tubulaires formées à froid est bien trop pénalisant à l’égard des sections usitées dans le domaine des échafaudages. Afin de répondre à la problématique, de nouveaux critères de vérification en instabilité ont également été établis en utilisant une approche similaire à celle d’Ayrton-Perry. Ces nouveaux critères permettent de s’affranchir de la modélisation des imperfections initiales tout en offrant une estimation sûre et précise du facteur de sollicitation d’une structure. Des études comparatives ont été menées de manière à s’assurer de la sécurité des formulations proposées par rapport aux critères de vérification en section de la norme actuelle. / This thesis is part of an effort to improve knowledge of the instabilities of beam-columns sensitive to second-order effects. The works deal with the means to take into account the initial imperfections in the structural analysis and to adapt the current verification criteria for tubular section structures, such as scaffold structures. The existing formulations, proposed in the literature and calculation codes, are often based on hypotheses, and thus lead to inconsistencies between, on the one hand, the verification criteria in section, and on the other hand, the verification criteria in instability. The developed approach takes into account the interaction between section resistance and instability phenomena, and includes the influence of initial imperfections (initial defect of aplomb, lack of straightness, residual stresses). As far as possible, these effects will be decoupled. As such, a method has been developed to allow the definition of initial imperfections of a structure, to be as accurate as possible. This method, based on the definition of a single imperfection, identical in appearance to the shape of the predominant critical buckling mode, is a precise, fully defined method to take into account the geometric characteristics, intrinsic mechanical characteristics, limits and the form of loading, in the definition of the initial imperfections of a structure. A test campaign was carried out in collaboration with the French Syndicate of Scaffolding, Formwork and Shoring (SFECE), aiming to analyze the experimental behavior of buckling of cold-formed tubular sections. Nine buckling tests on scaffold ladders, from various European suppliers, have been carried out. A statistical study of the experimental results has made it possible to highlight that the imperfection factor currently defined for the cold-formed tubular sections is far too penalizing for the sections used in the field of scaffolds. In order to respond to the problem, new instability criteria have also been established using a similar approach to that of Ayrton-Perry. These new criteria make it possible to free ourselves from the modeling of initial imperfections while offering a safe and accurate estimate of the stress factor of a structure. A comparative study was conducted in order to ensure the safety of the proposed formulations as regards the section verification criteria of the NF EN 1993-1-1 current standard.