Nos últimos anos, inovações e desenvolvimentos importantes ocorreram na engenharia estrutural. Apesar disso, a maioria dos avanços não considera a natureza aleatória das variáveis. Partindo-se dessas idéias, apresenta-se uma contribuição na análise da segurança e confiabilidade em pavimentos de edifícios, introduzindo-se conceitos probabilísticos e estatísticos aplicados dentro de um modelo de comportamento não-linear para o concreto armado (Ghali & Favre). A resistência à compressão do concreto e os deslocamentos nas vigas e nos pavimentos são considerados como variáveis aleatórias, seguindo uma distribuição de probabilidade conhecida. O objetivo é relacionar valores da resistência característica à compressão do concreto (fck) e do módulo de elasticidade do material com determinados níveis de confiabilidade, expressos pelo índice &#946 e pela probabilidade de falha da função de estado limite escolhida. Objetiva-se analisar o comportamento das variáveis básicas e a interação entre elas, procurando avaliar, quantitativamente, a margem de segurança obtida com a aplicação de critérios de projeto da NB-1 e do EUROCODE. Pretende-se ainda fazer algumas considerações sobre a necessidade de se estudar a formulação de um coeficiente de minoração da resistência do concreto &#947c como função das variáveis básicas dos modelos empregados e de suas distribuições de probabilidade. / In the last years, important developments and innovations took place in the structural engineering context. In spite of that, most of that progress does not consider the random nature of the involved variables. Based on these aspects, a contribution to the safety and reliability analyses for building floors is presented. It is also introduced probabilistic and statistic concepts, applied to a well-known non-linear models for the reinforced concrete elements (Ghali & Favre). The concrete compression strength, as well as beam and floor displacements are assumed random variables, following a known probability distribution. The aim of the work is to relate the concrete characteristic strength in compression (fck) and the Young\'s modulus with certain levels of reliability, expressed by the &#946 index and by the failure probability of the limit state function. The behaviour of the basic variables and their interactions are analysed in order to evaluate the safety reached by applying NB-1 (Brazilian code for reinforced concrete structures) and EUROCODE design recommendations. Moreover, some comments are made on the future studies required to achieve a single reduction coefficient &#947c for the concrete strength, which may be given in terms of the basic variables of material models and their probability distributions.

Nos últimos anos, inovações e desenvolvimentos importantes ocorreram na engenharia estrutural. Apesar disso, a maioria dos avanços não considera a natureza aleatória das variáveis. Partindo-se dessas idéias, apresenta-se uma contribuição na análise da segurança e confiabilidade em pavimentos de edifícios, introduzindo-se conceitos probabilísticos e estatísticos aplicados dentro de um modelo de comportamento não-linear para o concreto armado (Ghali & Favre). A resistência à compressão do concreto e os deslocamentos nas vigas e nos pavimentos são considerados como variáveis aleatórias, seguindo uma distribuição de probabilidade conhecida. O objetivo é relacionar valores da resistência característica à compressão do concreto (fck) e do módulo de elasticidade do material com determinados níveis de confiabilidade, expressos pelo índice &#946 e pela probabilidade de falha da função de estado limite escolhida. Objetiva-se analisar o comportamento das variáveis básicas e a interação entre elas, procurando avaliar, quantitativamente, a margem de segurança obtida com a aplicação de critérios de projeto da NB-1 e do EUROCODE. Pretende-se ainda fazer algumas considerações sobre a necessidade de se estudar a formulação de um coeficiente de minoração da resistência do concreto &#947c como função das variáveis básicas dos modelos empregados e de suas distribuições de probabilidade. / In the last years, important developments and innovations took place in the structural engineering context. In spite of that, most of that progress does not consider the random nature of the involved variables. Based on these aspects, a contribution to the safety and reliability analyses for building floors is presented. It is also introduced probabilistic and statistic concepts, applied to a well-known non-linear models for the reinforced concrete elements (Ghali & Favre). The concrete compression strength, as well as beam and floor displacements are assumed random variables, following a known probability distribution. The aim of the work is to relate the concrete characteristic strength in compression (fck) and the Young\'s modulus with certain levels of reliability, expressed by the &#946 index and by the failure probability of the limit state function. The behaviour of the basic variables and their interactions are analysed in order to evaluate the safety reached by applying NB-1 (Brazilian code for reinforced concrete structures) and EUROCODE design recommendations. Moreover, some comments are made on the future studies required to achieve a single reduction coefficient &#947c for the concrete strength, which may be given in terms of the basic variables of material models and their probability distributions.

This thesis utilized a linear analytical approach to explore the damage tolerance or residual strength as a function of increasing damage in traditional single and hybrid-grid IsoTruss® structures. Residual strength was studied for structures subjected to axial compression, torsion and flexural bending, independently. Carbon/epoxy material properties were applied in all load cases, and fiberglass/epoxy material properties were also applied in the flexural bending case. Prior to imposing damage conditions, the IsoTruss® structures were parametrically optimized to achieve the highest strength-to-weight ratios. Typical compression strut, driveshaft, and utility pole specifications governed the design strength dimensions and boundary conditions. Damage growth was achieved by removing members from IsoTruss® structures progressively about the circumference in a symmetrical manner. The sequence of member removal, beginning with primary or secondary members, was examined, and is described as primary and secondary analyses. ABAQUS finite element analysis was employed to quantify the residual strength of each IsoTruss® configuration. Reduction in residual strength trends are compared to net section strength, which assumes a linear relationship between damage size and residual strength. Results indicate that the 6-node IsoTruss® configuration is the most damage tolerant structure in the sense that the 6-node configuration deviates the least from the net section strength. As more nodes are added, IsoTruss® structures behave more like a composite tube, exhibiting a brittle behavior characterized by an increase in strength reduction for a given damage size. Bending results reveal that carbon fiber IsoTruss® structures are more damage tolerant under primary bending conditions than fiberglass poles. On the other hand, fiberglass IsoTruss® poles prove to be more damage tolerant under secondary bending conditions than carbon fiber structures. Most importantly, however, hybrid-grid IsoTruss® poles are definitively more optimal structures than single-grid poles in terms of both strength-to-weight ratio and damage tolerance. The results and conclusions from this thesis provide benchmark capacities for mechanically manufactured IsoTruss® structures. Also included in this thesis is documentation of a special program written to analyze IsoTruss® structures.

O objetivo deste trabalho é fornecer uma contribuição à análise estrutural de pavimentos de edifícios de concreto armado. Com esse fim, foram implementados os modelos de DEBERNARDI e de GHALI & FAVRE, próprios para barras de concreto armado. Os resultados são obtidos para o instante de aplicação de um carregamento e para um instante qualquer de tempo, considerando-se a fluência. Apresenta-se, no decorrer do trabalho, o equacionamento dos modelos e das variáveis envolvidas no processo. São mostrados exemplos práticos de aplicação dos algoritmos desenvolvidos e discute-se, nos capítulos finais, a redistribuição de momentos que ocorre em estruturas reticulares de concreto armado. / The aim of this work is to give a contribution to structural analysis of reinforced concrete building floors. Therefore, DEBERNARDI\'s and GHALI & FAVRE\'s models for reinforced concrete were implemented. The results are obtained at the loading application instant and at any instant of time, considering therefore the creep. In this work, it is presented the formulations of the adopted models and the variables used in the process. Some practical examples of application for the developed algorithms are shown. Finally, it is discussed the redistribution of bending moments that may occur in reinforced concrete grid structures.

O objetivo deste trabalho é fornecer uma contribuição à análise estrutural de pavimentos de edifícios de concreto armado. Com esse fim, foram implementados os modelos de DEBERNARDI e de GHALI & FAVRE, próprios para barras de concreto armado. Os resultados são obtidos para o instante de aplicação de um carregamento e para um instante qualquer de tempo, considerando-se a fluência. Apresenta-se, no decorrer do trabalho, o equacionamento dos modelos e das variáveis envolvidas no processo. São mostrados exemplos práticos de aplicação dos algoritmos desenvolvidos e discute-se, nos capítulos finais, a redistribuição de momentos que ocorre em estruturas reticulares de concreto armado. / The aim of this work is to give a contribution to structural analysis of reinforced concrete building floors. Therefore, DEBERNARDI\'s and GHALI & FAVRE\'s models for reinforced concrete were implemented. The results are obtained at the loading application instant and at any instant of time, considering therefore the creep. In this work, it is presented the formulations of the adopted models and the variables used in the process. Some practical examples of application for the developed algorithms are shown. Finally, it is discussed the redistribution of bending moments that may occur in reinforced concrete grid structures.

Composite IsoTruss™ structures incorporate intersecting longitudinal and helical members. At the intersections, the fiber tows can be interwoven to achieve mechanical interlocking for increased joint integrity. Interlocking introduces gaps and curvilinear fiber paths similar to the crossovers in filament-wound structures, potentially facilitating local delamination within the members, thus reducing the strength and/or damage tolerance of the structure. Optimizing the interlocking pattern at the joints along with efficient consolidation minimizes these effects. Joint specimens were fabricated using a specially designed machine. Specific tow intersection patterns at the joint were: 1) Completely encapsulating the longitudinal member with the tows of the helical member; and 2) Interweaving the tows of the helical member with the tows of the longitudinal member. Consolidation was accomplished using: 1) a braided sleeve; 2) a coiled sleeve; 3) a sparse spiral Kevlar® wrap; 4) a polyester shrink tape sleeve; 5) twisting the entire bundle of longitudinal fiber tows; and 6) cinching the joints using aramid fiber. Ultimate compression strength and stiffness is directly related to the straightness of the tows in the longitudinal members at the intersections. An encapsulated joint reduces member strength by only 4.6%; whereas, an interwoven joint reduces member strength by 30.5%. The fiber paths of the longitudinal member in encapsulated joints are straighter than in interwoven joints, resulting in an average strength difference of 26.2%. Physical properties, strength, and stiffness show that consolidation quality directly affects performance. Consolidation using sleeves provides high quality consolidation, high strength, and high stiffness. Encapsulated joints consolidated using sleeves have an average ultimate strength and Young's modulus 34% and 21% higher, respectively, than encapsulated joints consolidated using other methods. Interwoven joints consolidated using sleeves have an average ultimate strength and Young's modulus 28% and 19% higher, respectively, than interwoven joints consolidated using other methods. Consolidating specimens using a braided sleeve yields the highest quality based on consistency, strength, and stiffness. Consolidating specimens by twisting the longitudinal member yields the lowest strength and stiffness. These conclusions will be applied to IsoTrussâ„¢ grid structure design and manufacturing technology.