Este trabalho versa sobre o desenvolvimento de rotinas computacionais para o projeto automático de estruturas de concreto submetidas à protensão aderente e não aderente, conforme recomendações das normas brasileira [NBR6118:2007] e francesa [Règles BPEL 91]. A justificativa da realização deste trabalho vem da crescente utilização da protensão no Brasil, devido principalmente a suas vantagens construtivas, à redução na incidência de fissuras e na dimensão das peças com o emprego eficiente de materiais de maior resistência. Visando contribuir para o desenvolvimento científico nacional, o presente trabalho dá continuidade a uma linha de pesquisa que vem sendo desenvolvida no Programa de Pós- Graduação em Engenharia Civil – PPGEC/UFRGS, a qual foi iniciada com a implementação de um modelo numérico, baseado na formulação do elemento finito do tipo híbrido para pórticos planos, que faz a análise quanto à flexão de seções com protensão aderente e não aderente. A partir deste elemento finito, torna-se possível a utilização de elementos longos, de maneira que um único elemento finito possa ser utilizado para um vão de viga ou pilar, reduzindo, assim, o esforço computacional. O modelo numérico considera a não linearidade geométrica, carregamentos cíclicos e construção composta, levando em conta a concretagem por fases. Relações constitutivas já consolidadas na literatura são empregadas para os materiais, sendo que a cadeia de Maxwell é utilizada para representar o comportamento reológico do concreto e do aço de protensão, respeitando as características de cada material. Realizou-se, ainda, um estudo das variáveis necessárias na implementação do modelo numérico a fim de desenvolver uma interface gráfica amigável com a ajuda do software Microsoft Visual Basic 2008 Express Edition, disponível gratuitamente na internet, facilitando, desta forma, a entrada de dados. As rotinas computacionais implementadas efetuam a verificação dos estados limites de serviço e últimos, complementando o modelo numérico original. São consideradas as situações de protensão completa, limitada e parcial e verificados conforme cada caso, os estados limites de descompressão, de formação e de abertura das fissuras, além dos estados limites últimos finais, no ato da protensão e a verificação do esforço cortante. São apresentadas comparações entre situações de projeto conforme as normas brasileira e francesa, analisando de forma crítica os resultados obtidos. De um modo geral, observou-se que as verificações feitas pela norma francesa apresentaram resultados mais conservadores. Ao longo deste trabalho, buscou-se, como objetivo principal, tornar o programa computacional operacional para a realização de projetos. / This work presents the development of computational algorithms for the automatic design of concrete structures subjected to bonded and unbonded prestressing, according to the Brazilian [NBR6118:2007] and French [Règles BPEL 91] code specifications. The study is justified by the increased use of prestressing in Brazil, due to its many constructive advantages, like reduction in crack incidence and decrease in section dimensions, with the efficient use of higher resistance materials. It is part of a major research developed in the Graduate Program in Civil Engineering - PPGEC/UFRGS, started with the implementation of a numerical model based on the formulation of a hybrid type finite element for prestressed plane frames. Such model, makes possible the use long elements, so that a single finite element can be used for modeling a beam or column, therefore improving computational efficiency. The numerical model considers geometric nonlinearity, cyclic loading and composite construction, allowing different constructive stages. Well established constitutive relations are used for representing material behavior and the Maxwell chain model is used for both concrete and prestressing steel time-dependent responses. A study on the variables needed to implement the numerical model was performed, in order to develop a friendly graphical interface, with the help of Microsoft Visual Basic 2008 Express Edition, a free software that facilitates data acquisition. The implemented computational algorithm performs the verification of the Serviceability Limit States and the Ultimate Limit State, with a view to complementing the original numerical model. Full, partial and limited prestressing situations are considered and checked and, in each case, the Limit State of Decompression, the Limit State of Cracking, the Ultimate Limit State, the final act of prestressing and the Shear Strength are verified. Comparison between design situations according to the Brazilian and French code specifications are presented. In general, it was observed that verifications of the French code were more conservative. This work was focused on the main objective to make the computer program operational for structural design.

Este trabalho versa sobre o desenvolvimento de rotinas computacionais para o projeto automático de estruturas de concreto submetidas à protensão aderente e não aderente, conforme recomendações das normas brasileira [NBR6118:2007] e francesa [Règles BPEL 91]. A justificativa da realização deste trabalho vem da crescente utilização da protensão no Brasil, devido principalmente a suas vantagens construtivas, à redução na incidência de fissuras e na dimensão das peças com o emprego eficiente de materiais de maior resistência. Visando contribuir para o desenvolvimento científico nacional, o presente trabalho dá continuidade a uma linha de pesquisa que vem sendo desenvolvida no Programa de Pós- Graduação em Engenharia Civil – PPGEC/UFRGS, a qual foi iniciada com a implementação de um modelo numérico, baseado na formulação do elemento finito do tipo híbrido para pórticos planos, que faz a análise quanto à flexão de seções com protensão aderente e não aderente. A partir deste elemento finito, torna-se possível a utilização de elementos longos, de maneira que um único elemento finito possa ser utilizado para um vão de viga ou pilar, reduzindo, assim, o esforço computacional. O modelo numérico considera a não linearidade geométrica, carregamentos cíclicos e construção composta, levando em conta a concretagem por fases. Relações constitutivas já consolidadas na literatura são empregadas para os materiais, sendo que a cadeia de Maxwell é utilizada para representar o comportamento reológico do concreto e do aço de protensão, respeitando as características de cada material. Realizou-se, ainda, um estudo das variáveis necessárias na implementação do modelo numérico a fim de desenvolver uma interface gráfica amigável com a ajuda do software Microsoft Visual Basic 2008 Express Edition, disponível gratuitamente na internet, facilitando, desta forma, a entrada de dados. As rotinas computacionais implementadas efetuam a verificação dos estados limites de serviço e últimos, complementando o modelo numérico original. São consideradas as situações de protensão completa, limitada e parcial e verificados conforme cada caso, os estados limites de descompressão, de formação e de abertura das fissuras, além dos estados limites últimos finais, no ato da protensão e a verificação do esforço cortante. São apresentadas comparações entre situações de projeto conforme as normas brasileira e francesa, analisando de forma crítica os resultados obtidos. De um modo geral, observou-se que as verificações feitas pela norma francesa apresentaram resultados mais conservadores. Ao longo deste trabalho, buscou-se, como objetivo principal, tornar o programa computacional operacional para a realização de projetos. / This work presents the development of computational algorithms for the automatic design of concrete structures subjected to bonded and unbonded prestressing, according to the Brazilian [NBR6118:2007] and French [Règles BPEL 91] code specifications. The study is justified by the increased use of prestressing in Brazil, due to its many constructive advantages, like reduction in crack incidence and decrease in section dimensions, with the efficient use of higher resistance materials. It is part of a major research developed in the Graduate Program in Civil Engineering - PPGEC/UFRGS, started with the implementation of a numerical model based on the formulation of a hybrid type finite element for prestressed plane frames. Such model, makes possible the use long elements, so that a single finite element can be used for modeling a beam or column, therefore improving computational efficiency. The numerical model considers geometric nonlinearity, cyclic loading and composite construction, allowing different constructive stages. Well established constitutive relations are used for representing material behavior and the Maxwell chain model is used for both concrete and prestressing steel time-dependent responses. A study on the variables needed to implement the numerical model was performed, in order to develop a friendly graphical interface, with the help of Microsoft Visual Basic 2008 Express Edition, a free software that facilitates data acquisition. The implemented computational algorithm performs the verification of the Serviceability Limit States and the Ultimate Limit State, with a view to complementing the original numerical model. Full, partial and limited prestressing situations are considered and checked and, in each case, the Limit State of Decompression, the Limit State of Cracking, the Ultimate Limit State, the final act of prestressing and the Shear Strength are verified. Comparison between design situations according to the Brazilian and French code specifications are presented. In general, it was observed that verifications of the French code were more conservative. This work was focused on the main objective to make the computer program operational for structural design.

O presente trabalho aborda a utilização da protensão não aderente em edifícios residenciais e comerciais de concreto, focando os aspectos referentes às soluções com protensão aderente e não aderente e em concreto armado, para o consumo de materiais, notadamente: concreto, fôrmas e armaduras. São considerados três diferentes sistemas estruturais, sendo estes: laje plana maciça apoiada sobre pilares; laje plana nervurada apoiada sobre pilares e laje nervurada apoiada em vigas faixa protendidas sobre pilares. São apresentados estudos destes casos com a utilização da ferramenta computacional de análise estrutural TQS, a qual é baseada na análise por grelha. São comparados os índices de consumo de materiais para os dois referidos sistemas de protensão, discutindo os limites de sua utilização. Como resultados, o estudo fornece conclusões satisfatórias para utilização da protensão, tanto aderente quanto não aderente, em relação ao concreto armado. Ainda, o sistema de protensão aderente mostrou-se ligeiramente mais econômico, do ponto de vista de consumo de materiais, porém, é um sistema com produtividade inferior às soluções com protensão não aderente, tornando esta última solução, a mais adotada no cotidiano dos escritórios de cálculo de engenharia civil dentre as citadas / The present work deals the use of the prestressed unbonded tendons in residential and commercial concrete buildings, pointing out aspects to the application with bonded and unbonded prestressing and reinforced concrete, regarding the consumption such as concrete, molds and reinforcing steel. Three different structural systems are considered: flat plate and columns; waffle slab and columns and waffle slab (non prestressed) in prestressed strip beams supported by columns. Case studies are presented with the use of the software of structural analysis TQS, which is based on the grillage analogy method. The consumption of materials is compared for the two referred prestressing systems, discussing the limits of their application. Based on the developed analyses, the study supplies satisfactory conclusions for use of the prestressing systems (bonded and unbonded), compared to reinforced concrete systems. With relation to the consumption of materials, the use of bonded tendons is a bit more cost effective, however, with smaller productivity than tendons with prestressed unbonded tendons, being the last one the more usual prestressing systems. Still, the system of prestressed bonded tendons was shown more economical, of the point of view of materials consumption, however, it is a system with inferior productivity to the solutions with prestressed unbonded tendons adopted in civil engineering offices nowadays

Stable Unbonded Fibre Reinforced Elastomeric Isolators (SU-FREI) have been investigated extensively for seismic applications, with over 20 years of literature supporting their use in isolation of structures as an alternative to conventional Steel Reinforced Elastomeric Isolators (SREI). Preliminary investigations have been conducted into their potential use as bridge bearings, where they could provide an alternative to unreinforced and steel reinforced elastomeric bearings. SU-FREI offer a number of potential advantages in this application relative to SREI, including compactness due to thinner reinforcement layers, ease of installation, rotational tolerances, and ease of manufacture. Recently, SU-FREI have been installed under certain highway bridges along the 407 ETR where the previous unreinforced elastomeric bearings had experienced failure. Monitoring has been conducted by Associated Engineering for the 407 ETR Corporation. Data was collected from this monitoring program and field visits have been conducted to observe the condition of the bearings. The original design process used for the SU-FREI bearings has also been reviewed. The monitoring data was compared against design calculations, and the behavior of the SU-FREI analysed to determine whether they meet performance expectations and are suitable for further use as bridge bearings. It was found that some SU-FREI had experienced degradation, including the appearance of an unidentified liquid. The causes of deterioration were investigated and postulated to be primarily related to design limitations imposed by the geometry of the bridges, original design calculation assumptions, and installation issues. Where these factors were not present, the SU-FREI bearings were found to have experienced little to no deterioration. Furthermore, it was determined through comparative design calculations that the FREI outperformed equivalent SREI with regard to rotational capacity. Recommendations have been developed for future deployment of SU-FREI as bridge bearings. Based on the results of initial deployments, larger-scale employment of SU-FREI in this application should be considered. / Thesis / Master of Applied Science (MASc) / Concrete and steel bridges deform due to temperature changes, traffic motion, and other factors. To allow these deformations without inducing large forces or damage, bearings are employed between the bridge deck and supports. One type of bearing consists of alternating layers of rubber and steel: steel strengthens the bearing, while the rubber provides lateral and rotational flexibility. A relatively new type of bearing has been developed and tested that replaces the steel layers with carbon fibre. Recently, several of these new SU-FREI bearings have been installed on actual highway bridges. The focus of this thesis is on the performance of SU-FREI installed as bridge bearings. The goal was to observe their performance, identify any unexpected behavior, and create recommendations for future consideration whenever SU-FREI are to be used as bridge bearings. Generally, it was found that their performance is satisfactory provided they are designed and used appropriately.

Prestressed concrete structural members camber upwards or downwards depending upon the location of application of prestress force. Identical members do not camber equally due to variability of the factors influencing it. Differential camber in the beams, if significant, results in excessively tall haunches or girder top flange extending into the bottom of the slab. For adjacent members like deck bulb-tees and box girders that are to be transversely post-tensioned the differential camber causes problems during the fit up process. This variation is undesirable and hinders the smooth progress of construction work if not properly accounted for at the design stage. Various factors influence camber and camber growth in prestressed members. Some of the factors are concrete strength and modulus, concrete creep and shrinkage properties, curing conditions, maturity of concrete at release of prestress force, initial strand stress, climatic conditions in storage and length of time in storage. Combinations of these variables result in variation of camber of otherwise similar beams at the time they are erected. One way to increase the precision of camber estimation is to use Monte Carlo simulation based upon the randomized parameters affecting the camber and camber growth. In this method, the parameters, in the form of a probability distribution function, are combined and passed through a deterministic model resulting in camber and camber growth prediction with narrowed probability bounds as compared to single definite value given by most contemporary methods. This outcome gives the expected range of cambers for a given girder design. After determining the expected range of camber, the ultimate goal is to provide guidelines for using unbonded monostrands for camber adjustment. / Master of Science

As patologias apresentadas por algumas estruturas e a necessidade de aumento da capacidade de carga de outras fizeram com que diversas técnicas fossem desenvolvidas para o reforço de vigas de concreto armado. Uma delas é a incorporação e protensão de cabos externos. O grande diferencial desta técnica quando comparada às demais é o seu caráter ativo. Ou seja, por meio da protensão é possível aplicar forças de forma a diminuir o nível de tensões atuantes sobre a estrutura. Neste trabalho, é apresentado um amplo estado-da-arte sobre este tipo de reforço. São descritas algumas obras realizadas com esta técnica e relatados e analisados alguns ensaios em vigas protendidas com cabos externos. Diversos métodos de cálculo de vigas protendidas com cabos não aderentes são apresentados. É mostrado, também, um procedimento para previsão da forma de ruína de vigas protendidas com cabos externos. Foi feito um estudo experimental, ensaiando-se 3 vigas de concreto armado reforçadas por meio da protensão de cordoalhas engraxadas. Os resultados dos ensaios são analisados e comparados com previsões teóricas feitas a partir dos métodos de cálculo estudados e com resultados de ensaios em vigas reforçadas com outras técnicas. Do estudo realizado, foi possível comprovar os benefícios da protensão não só no que se refere à resistência ao momento fletor, mas também ao esforço cortante. / Many techniques for concrete beams strengthening have been developed along the years. Among them, prestressing of external tendons, which presents a major difference when compared to the others: controlled forces can be applied to reduce undesirable stresses in the structure. This work presents a state-of-the-art review on this technique. Some methods proposed to estimate the flexural capacity of beams prestressed with unbonded tendons are reviewed. It is also shown a procedure to predict the failure mode of the beams. Three reinforced concrete beams were strengthened by prestressing of external strands and tested. Results are analyzed and compared with both theoretical predictions and other test results of beams strengthened by alternative techniques. From the research, the benefits of prestressing on improving the flexural capacity and the shear strength of reinforced concrete beams could be confirmed.

The Texas Department of Transportation (TxDOT) has completed the design of a signature bridge in Fort Worth, TX. The proposed structure is comprised of precast, post-tensioned concrete network arches. The arches will be cast on their sides and then rotated into the vertical orientation. Concerns exist about the durability and stability of the arches during stressing, handling, and transportation. The rotation process in particular represents a critical period in the life of the arches. A monitoring system was proposed to track stresses in the arches throughout the construction operations. The primary goals of the project are to install vibrating wire gages (VWGs) in the arches prior to casting to monitor the performance of the arches until the bridge is completed. The instrumentation will be used to provide real-time feedback to TxDOT and the contractor during stressing, handling, and bridge construction. This thesis focuses on the results of a preliminary laboratory study conducted in support of the instrumentation initiative. The purpose of the study was two-fold: to establish the capabilities and limitations of the VWGs and to study the buckling behavior of slender concrete elements with unbonded post-tensioning. More than sixty axial load tests were performed on two slender concrete specimens instrumented with VWGs. Observations are made on the accuracy and reliability of the VWGs. In general, the VWGs were found to be both accurate and reliable in measuring structural parameters and reporting trends in behavior, even at low loads. Some apparent errors were identified, but these were attributed to testing inconsistencies and scale factors rather than to gage error. Observations were also made on the buckling behavior of the elements under a variety of axial loading configurations. The effects of the engagement of the tensioned strand with the duct had a significant impact on the behavior. Strand engagement was shown to increase the buckling capacity of the members through stiffening action, but did not necessarily eliminate the risk of instability. Both the gage resolution study and the stability tests are expected to significantly enhance the ability of the research team to support the arch construction operations. / text

Unbonded post-tensioned (UPT) flat plate concrete slabs have seen widespread use in multi-storey office and condominium buildings since the 1960s. The popularity of these systems can be attributed to various economic and structural benefits, including reductions in slab thickness, storey height, building mass, and excellent deflection control over large spans. The “inherent fire resistance” of these systems is often quoted as a key additional benefit as compared with competing structural systems. Such statements are apparently based largely on satisfactory results from large scale standard fire resistance tests performed on UPT slabs during the 1960s and on experience from real fires in UPT buildings. However, much remains unknown about the true structural behaviour of continuous multiple bay UPT slabs in real building fires. For instance, relatively little data exist on the effects of elevated temperature on cold drawn prestressing steel under realistic, sustained service stress levels. The primary objective of this thesis is to provide a greater understanding of the high-temperature performance (predominantly related to prestress relaxation) of prestressing steel used in UPT flat plate slabs. A computational model is developed, extending previous research by others, to predict transient high temperature stress relaxation (i.e., prestress loss) for a tendon in a typical UPT multiple span flat plate concrete slab under transient heating and cooling. The computational model is validated by comparison against a series of novel high temperature experiments on locally-heated, stressed, and restrained prestressing tendons with realistic as-built configurations. Reasonable agreement between measured and predicted prestress losses is observed, although some refinement of the model’s input parameters may be required. Test data also indicate that the most crucial fire scenario on a UPT concrete slab may be localized heating rather than a global, fully developed fire. The model is subsequently used to predict the capacity in flexure and punching shear of a UPT flat plate structure under various spatial and temporal heating regimes. The results highlight the need for particular care in the construction of UPT slabs to ensure adequate, robust concrete cover for structural fire safety. / Thesis (Master, Civil Engineering) -- Queen's University, 2009-09-24 18:27:25.559

As patologias apresentadas por algumas estruturas e a necessidade de aumento da capacidade de carga de outras fizeram com que diversas técnicas fossem desenvolvidas para o reforço de vigas de concreto armado. Uma delas é a incorporação e protensão de cabos externos. O grande diferencial desta técnica quando comparada às demais é o seu caráter ativo. Ou seja, por meio da protensão é possível aplicar forças de forma a diminuir o nível de tensões atuantes sobre a estrutura. Neste trabalho, é apresentado um amplo estado-da-arte sobre este tipo de reforço. São descritas algumas obras realizadas com esta técnica e relatados e analisados alguns ensaios em vigas protendidas com cabos externos. Diversos métodos de cálculo de vigas protendidas com cabos não aderentes são apresentados. É mostrado, também, um procedimento para previsão da forma de ruína de vigas protendidas com cabos externos. Foi feito um estudo experimental, ensaiando-se 3 vigas de concreto armado reforçadas por meio da protensão de cordoalhas engraxadas. Os resultados dos ensaios são analisados e comparados com previsões teóricas feitas a partir dos métodos de cálculo estudados e com resultados de ensaios em vigas reforçadas com outras técnicas. Do estudo realizado, foi possível comprovar os benefícios da protensão não só no que se refere à resistência ao momento fletor, mas também ao esforço cortante. / Many techniques for concrete beams strengthening have been developed along the years. Among them, prestressing of external tendons, which presents a major difference when compared to the others: controlled forces can be applied to reduce undesirable stresses in the structure. This work presents a state-of-the-art review on this technique. Some methods proposed to estimate the flexural capacity of beams prestressed with unbonded tendons are reviewed. It is also shown a procedure to predict the failure mode of the beams. Three reinforced concrete beams were strengthened by prestressing of external strands and tested. Results are analyzed and compared with both theoretical predictions and other test results of beams strengthened by alternative techniques. From the research, the benefits of prestressing on improving the flexural capacity and the shear strength of reinforced concrete beams could be confirmed.

京都大学 / 新制・課程博士 / 博士(工学) / 甲第23490号 / 工博第4902号 / 新制||工||1766(附属図書館) / 京都大学大学院工学研究科都市社会工学専攻 / (主査)教授 五十嵐 晃, 教授 高橋 良和, 准教授 北根 安雄 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM