Modelação e dimensionamento de estruturas

O presente relatório refere-se ao trabalho desenvolvido durante o período de estágio curricular enquadrado no ciclo de estudos do Mestrado em Engenharia Civil do ISEP, Instituto Superior de Engenharia do Porto. O estágio desenvolveu-se ao longo de seis meses, desde Fevereiro até Julho de 2015, na empresa FASE S.A., em ambiente de gabinete, para a obtenção do grau de mestre em Engenharia Civil. Durante o período de estágio foram desenvolvidos projetos de estabilidade de estruturas metálicas e de betão armado, desde a fase de conceção, pré-dimensionamento, modelação numérica e análise de resultados, dimensionamento final, até à produção das peças desenhas e escritas constituintes de um projeto de estruturas. Foi possível analisar e dimensionar estruturas através de programas de cálculo automático e ferramentas de cálculo que serão referidas no presente relatório. Neste relatório será descrita pormenorizadamente a elaboração de um projeto em betão armado em todas as suas vertentes. Apresentam-se também as metodologias de cálculo empregues. No culminar, enunciam-se algumas conclusões de carácter geral decorrentes do trabalho desenvolvido.

Aplicação do modelo escoras e tirantes a vigas parede de acordo com o Eurocódigo 2:2010

O Modelo Escoras e Tirantes surgiu no início do Século XX quando Ritter e Mörsch estabeleceram a analogia entre uma treliça clássica e uma viga de betão armado. Desde então pesquisadores têm estudado esse modelo como método de dimensionamento. A partir dos anos 90 várias normas apresentaram a utilização do modelo escoras e tirantes como relevante no dimensionamento de elementos de betão armado. Os critérios de segurança do Modelo Escoras e Tirantes são neste trabalho explicados de acordo com o Eurocódigo 2:2010, e comparadas com as normas NBR 6118:2014 e ACI 318:2011. É unanime dizer que a utilização do método torna-se mais vantajosa para regiões de descontinuidade. Em todos os elementos de betão armado, o Método Escoras e Tirantes são representações dos campos de tensão idealizados por elementos comprimidos e tracionados. Para a definição destes elementos é proposto o processo de “caminho de carga” em que conhecidas as tensões elásticas e suas direções principais utilizando o Método dos Elementos Finitos o modelo das escoras e tirantes é de fácil concepção. É também possível a definição deste a partir de modelos padrão já concebidos para determinados tipos de elementos estruturais de betão armado. Para o elemento descontinuo viga-parede estudado foram apresentados cinco modelos de cálculo até otimizar a solução validando as tensões com o Método dos Elementos Finitos. Em todos os modelos foram analisadas a definição do Modelo Escoras e Tirantes, a resistência das escoras, dos tirantes e dos nós até chegar à solução construtiva da viga-parede. Concluiu-se que a definição do modelo é a chave do dimensionamento.

Flexural strengthening by means of a arc overlay in the tension zone

Dissertação para obtenção do Grau de Mestre em Engenharia Civil – Perfil de Estruturas

Cement-cork mortars for thermal bridges correction. Comparison with cement-EPS mortars performance

Construction and Building Materials 49 (2013), 315-327

A FEM-based model to study the behaviour of corroded RC beams shear repaired by NSM CFRP rods technique

This paper presents the main features of finite element FE numerical model developed using the computer code FEMIX to predict the near-surface mounted NSM carbon-fiber-reinforced polymer CFRP rods shear repair contribution to corroded reinforced concrete RC beams. In the RC beams shear repaired with NSM technique, the Carbon Fibre Reinforced Polymer (CFRP) rods are placed inside pre-cut grooves onto the concrete cover of the RC beam’s lateral faces and are bonded to the concrete with high epoxy adhesive. Experimental and 3D numerical modelling results are presented in this paper in terms of load-deflection curves, and failure modes for 4 short corroded beams: two corroded beams (A1CL3-B and A1CL3-SB) and two control beams (A1T-B and A1T-SB), the beams noted with B were let repaired in bending only with NSM CFRP rods while the ones noted with SB were repaired in both bending and shear with NSM technique. The corrosion of the tensile steel bars and its effect on the shear capacity of the RC beams was discussed. Results showed that the FE model was able to capture the main aspects of the experimental load-deflection curves of the RC beams, moreover it has presented the experimental failure modes and FE numerical modelling crack patterns and both gave similar results for non-shear repaired beams which failed in diagonal tension mode of failure and for shear-repaired beams which failed due to large flexural crack at the middle of the beams along with the concrete crushing, three dimensional crack patterns were produced for shear-repaired beams in order to investigate the splitting cracks occurred at the middle of the beams and near the support.

Exploring the use of HPFRC and GFRP grids for the production of manhole covers

Corrosion of the steel reinforced concrete elements is one of the common pathologies that limits the long-term performance of urban infrastructures. This problem causes the loss of structural serviceability by decreasing the concrete-steel bond strength and reducing the cross section of the reinforcements. The present study introduces a new system for developing free-corrosion resistance prefabricated manhole covers for applications in the aggressive environments, i.e. wastewater collector systems, sewer systems, stormwater systems, etc. Fibre reinforced cement composites were applied in this system in order to suppress the corrodible steel mesh and maintain the structural ductility as well. Application of fibre reinforced polymer (FRP) system is adopted as the additional solution for increasing the load carrying capacity of these elements without concerns about corrosion. The effectiveness of the applied strategy in developing the manhole covers in terms of load carrying capacity and failure mode is evaluated in this research. Furthermore, this paper discusses a FEM-based simulation, aiming to address the possibility of calibrating the constitutive model parameters related to fracture modes I and II.

Design formula for the flexural strengthening of RC beams using prestressed CFRP reinforcement

Applying a certain prestress level to the carbon fiber reinforced polymer (CFRP) reinforcement according to either externally bonded reinforcing (EBR) or near surface mounted (NSM) techniques can mobilize the strengthening potentialities of this high tensile strength composite material. For the prediction of the flexural behavior of reinforced concrete (RC) structures strengthened with prestressed EBR or NSM CFRPs, however, simplified analytical and design formulations still need to be developed as a guidance for engineers to design this type of strengthened structures by hand calculation without any programming help. Hence, the current work aims to briefly explain a developed simplified analytical approach, with a design framework, to predict the flexural behavior of RC beams flexurally strengthened with either prestressed EBR or NSM CFRP reinforcements. Moreover, an upper limit for the prestress level is proposed in order to optimize the ductility performance of the NSM prestressing technique. The good predictive performance of the analytical approaches was appraised by simulating the results of experimental programs composed of RC beams strengthened with prestressed NSM CFRP reinforcements.

Exploring the potentialities of a new type of CFRP laminate for the simultaneous flexural and shear strengthening of RC beams: numerical research

This study aims to develop an innovative carbon fibre reinforced polymer (CFRP) laminate with a U configuration to address strengthening interventions, where the increment of both flexural and shear capacity of reinforced concrete (RC) elements is required. This strengthening solution combines the near surface mounted (NSM) and embedded through section (ETS) techniques in the same application, since these techniques have already evidenced high performance on flexural and shear strengthening of RC beams using FRP systems, respectively. In fact, the proposed hybrid technique aims to mobilize the advantages provided by these two strengthening techniques by using an innovative CFRP laminate. The strengthening efficacy of this new hybrid NSM/ETS technique was numerically assessed and compared to the corresponding efficiency of NSM and ETS techniques applied separately for the flexural and shear strengthening of RC beams, respectively. The numerical models are described and the main relevant results are presented and discussed.

Pesquisa experimental para avaliação da eficiência da fibra de aço na resistência à punção de lajes lisas reforçadas simetricamente

O presente artigo é dedicado à avaliação experimental da eficiência do reforço com fibra de aço em termos da resistência à punção de lajes lisa carregadas simetricamente. Para este fim, oito lajes de 2550 x 2550 x 150 mm3 foram ensaiadas até a ruína, onde se investigou a influência do consumo de fibras (0, 60, 75 e 90 kg/m3) e da resistência do concreto (50 e 70 MPa). Duas lajes de referência, sem fibras, uma para cada classe de resistência do concreto, e uma laje para cada consumo de fibra e para cada classe de resistência do concreto compuseram o programa experimental. Todas as lajes foram armadas à flexão com barras de aço (armadura convencional) de forma a garantir a ruína por punção das lajes de referência. O único reforço transversal foi garantido pelas fibras de aço hooked ends com comprimento e diâmetro de 37 e 0,55 mm, respectivamente, e resistência à tração de aproximadamente 1100 MPa. Os resultados revelaram que as fibras de aço são muito eficientes em converter uma ruína frágil por cisalhamento em uma ruína dúctil por flexão, aprimorando ambos, carga de ruptura e deslocamento. Neste artigo o programa experimental é abordado em detalhe e os principais resultados são apresentados e discutidos.

Modelo para calcular a contribuição da fibra na resistência à punção de lajes em concreto reforçado com fibra de aço

Neste artigo, formulações analíticas são desenvolvidas para calcular a resistência à punção de lajes lisas de concreto reforçado com fibras de aço (CRFA) e que também são reforçadas à flexão por barras de aço (reforço convencional). A partir de análises estatísticas sobre um banco de dados que reúne resultados experimentais de caracterização do comportamento pós-fissuração do CRFA, equações são estabelecidas para avaliar parâmetros da resistência residual à tração na flexão (fRi) a partir de informações fundamentais que caracterizam a fibra de aço. O parâmetro de resistência fRi, proposto pelo ModelCode10 foi usado para definir a lei tensão-abertura da fissura (σ-w) que simula o mecanismo de reforço da fibra em um material cimentício. A segunda parte do artigo descreve uma formulação analítica baseada nos conceitos propostos por Muttoni e Ruiz, onde a lei σ-w é convenientemente integrada para simular a contribuição da fibra de aço na resistência à punção de lajes em CRFA. A partir de um banco de dados, composto de 154 ensaios de punção, o bom desempenho da proposta apresentada é demonstrado. O desempenho do modelo também é evidenciado comparando-se os seus resultados a outros modelos.

Modelo para calcular a resistência à punção de lajes lisas simétricas reforçadas com fibras de aço

O presente artigo discute a metodologia de um novo modelo para calcular a resistência à punção simétrica de lajes de concreto reforçado com fibras de aço (CRFA). O modelo é fundamentado na teoria da fissura crítica de cisalhamento de Muttoni e seus coautores e na proposta do ModelCode10 para simular o comportamento pós-fissuração do CRFA. O desempenho do modelo é avaliado a partir de um banco de dados (BD), coletado da literatura técnica, que totaliza 154 lajes. Os resultados são avaliados em função da precisão, da dispersão e do nível de conservadorismo, a partir do parâmetro λ=Vexp/Vteo, sendo Vexp e Vteo, respectivamente, os resultados obtidos do BD e do modelo. Finalmente, para confirmar o desempenho do modelo, os seus resultados são comparados a outros 7 modelos da literatura técnica e ambos são classificados segundo o critério modificado de Collins, o Demerit Points Classifications – DPC.

Assessment of the efficiency of prefabricated hybrid composite plates (HCPs) for retrofitting of damaged interior RC beam–column joints

The effectiveness of prefabricated hybrid composite plates (HCPs) as a seismic retrofitting solution for damaged interior RC beam-column joints is experimentally studied. HCP is composed of a thin plate made of strain hardening cementitious composite (SHCC) reinforced with CFRP sheets/laminates. Two full-scale severely damaged interior beam-column joints are retrofitted using two different configurations of HCPs. The effectiveness of these retrofitting solutions mainly in terms of hysteretic response, dissipated energy, degradation of secant stiffness, displacement ductility and failure modes are compared to their virgin states. According to these criteria, both solutions resulted in superior responses regarding the ones registered in their virgin states.

Analytical approach for the flexural analysis of RC beams strengthened with prestressed CFRP

The objective of this paper is to propose a simplified analytical approach to predict the flexural behavior of simply supported reinforced-concrete (RC) beams flexurally strengthened with prestressed carbon fiber reinforced polymer (CFRP) reinforcements using either externally bonded reinforcing (EBR) or near surface mounted (NSM) techniques. This design methodology also considers the ultimate flexural capacity of NSM CFRP strengthened beams when concrete cover delamination is the governing failure mode. A moment–curvature (M–χ) relationship formed by three linear branches corresponding to the precracking, postcracking, and postyielding stages is established by considering the four critical M–χ points that characterize the flexural behavior of CFRP strengthened beams. Two additional M–χ points, namely, concrete decompression and steel decompression, are also defined to assess the initial effects of the prestress force applied by the FRP reinforcement. The mid-span deflection of the beams is predicted based on the curvature approach, assuming a linear curvature variation between the critical points along the beam length. The good predictive performance of the analytical model is appraised by simulating the force–deflection response registered in experimental programs composed of RC beams strengthened with prestressed NSM CFRP reinforcements.

Prestress losses in NSM-CFRP flexurally strengthened RC beams

The use of prestressed near surface mounted fibre reinforced polymers (NSM-FRP) has been long acknowledged to be a suitable approach to strengthen and retrofit existing reinforced concrete structures. The application of a certain amount of prestress to the FRP prior to its installation provides a number of benefits, mainly related to crack width and deflection requisites at serviceability limit state conditions. After transferring the prestress to a structural element, some of the existing cracks can be closed, decreasing the vulnerability of the element to corrosion and, a certain amount of deflection can be recovered due to the introduced negative curvature. However, these benefits can only be assured if the prestress is properly preserved over time. In this context, three series of reinforced concrete beams, in a total of 10 beams, were strengthened with a prestressed carbon FRP laminate (CFRP) and monitored for about 40 days. The data obtained from these tests is in this paper presented and analysed. The observed losses of strain in the CFRP laminate were found to be mainly located in the extremities of the bonded length, while in the central zone most of the initial strain was well-preserved over time. Additionally, the highest CFRP strain losses were observed in the first 6 to 12 days after prestress transfer, suggesting that the benefits of prestressed NSM-FRP will not be considerably lost over time.

Embedded Through-Section shear strengthening technique using steel and CFRP bars in RC beams of different percentage of existing stirrups

The Embedded Through-Section (ETS) technique is a promising technique for the shear strengthening of existing (RC) elements. According to this technique, holes are drilled through the beam section, and bars of steel or FRP material are introduced into these holes and bonded to the concrete with adhesive materials. An experimental program was carried out with RC T-cross section beams strengthened in shear using the ETS steel bars and ETS CFRP rods. The research is focused on the evaluation of the ETS efficiency on beams with different percentage of existing internal transverse reinforcement (ρsw=0.0%, ρsw=0.1% and ρsw=0.17%). The effectiveness of different ETS strengthening configurations was also investigated. The good bond between the strengthening ETS bars and the surrounding concrete allowed the yield initiation of the ETS steel bars and the attainment of high tensile strains in the ETS CFPR rods, leading to significant increase of shear capacity, whose level was strongly influenced by the inclination of the ETS bars and the percentage of internal transverse reinforcement.