O presente trabalho é uma contribuição para o esclarecimento e a quantificação das influências na deformabilidade e na capacidade portante de elementos unidimensionais de concreto armado em solicitação plana, decorrentes da não-linearidade física dos materiais concreto e aço, bem como da fissuração e do enrijecimento da armadura tracionada, também na sua fase plástica. Para aplicações práticas determinam-se a rigidez à flexão e a capacidade de rotação plástica dos elementos estruturais, o que permite limitar com mais precisão e coerência a demanda de rotação plástica obtida na análise. De início, descrevem-se os comportamentos não-lineares do concreto e do aço, aplicando-se conceitos da Mecânica da Fratura, bem como a atuação conjunta destes materiais, sob os aspectos de aderência e de fissuração. O núcleo deste trabalho concentra-se na obtenção do diagrama momento-curvatura e dos seus pontos principais, e na subseqüente determinação da capacidade de rotação plástica dos mencionados elementos. Consideram-se as seções geradas a partir da seção duplo T assimétrico, com várias camadas de armadura, sujeitas à flexão composta normal. Com dados deste diagrama e através do modelo da viga equivalente simétrica, posteriormente estendido à viga equivalente assimétrica e às vigas contínuas de pórticos planos, determina-se a capacidade de rotação plástica, considerando-se nesta suas múltiplas influências. Por fim, comparam-se os resultados teóricos e experimentais da capacidade de rotação plástica, e resumem-se as principais conclusões encontradas e os pontos que exigem subseqüente desenvolvimento. / The present study is a contribution to the enlightenment and evaluation of the influences on deformability and load carrying capacity of one-dimensional elements of reinforced concrete subject to in-plane loading, arisen from the constitutive non-linearity of concrete and steel, as well as from the concrete cracking and the tension stiffening of the reinforcement, prior and after yielding. For practical applications, the flexural rigidity and the plastic rotation capacity of structural elements are determined, which makes it possible to limit, more precisely and coherently, the plastic rotation demand coming from the analysis. Firstly, the non-linear behaviors of concrete and steel are described, applying concepts of Fracture Mechanics, and then the joint action of both materials concerning bond and cracking is studied. The core of this study lies on obtaining the bending moment-curvature diagram, specially its main points, and on the subsequent determination of the plastic rotation capacity of the aforementioned elements. The cross-sections generated from an asymmetric double T cross-section are considered, with several layers of reinforcement, acted upon simple or combined bending about one principal axis. With data based on this diagram and through the model of equivalent symmetric beam, later extended to equivalent asymmetric beam and to continuous beams of plane frames, the plastic rotation capacity is determined, considering its multiple influences. Finally, theoretical and experimental results of plastic rotation capacity are compared, and the main conclusions and points in need of subsequent development are summarized.

The Aveston Copper and Kelly (ACK) Method has been routinely used in estimating the efficiency of the bond between the textile and cementitious matrix. This method however has a limited applicability due to the simplifying assumptions such as perfect bond. A numerical model for simulation of tensile behavior of reinforced cement-based composites is presented to capture the inefficiency of the bond mechanisms. In this approach the role of interface properties which are instrumental in the simulation of the tensile response is investigated. The model simulates the tension stiffening effect of cracked matrix, and evolution of crack spacing in tensile members. Independent experimental results obtained from literature are used to verify the model and develop composite tensile stress strain response using alkali resistant (AR) glass textile reinforced concrete. The composite stress strain response is then used with a bilinear representation of the composite obtained from the tensile stiffening model. The closed form and simplified equations for representation of flexural response are obtained and used for both back-calculation and also design. A method based on the average moment-curvature relationship in the structural design and analysis of one way and two way flexural elements using yield line analysis approaches is proposed. This comprehensive approach directly shows the interrelation of fundamental materials characterization techniques with simplified design equations for further utilization of textile reinforced concrete materials.

Gelžbetonis yra kompozitinė medžiaga, kurios komponentai yra betonas ir plieninė armatūra. Kaip žinoma, betono stipris tempiant yra 1020 kartų mažesnis nei stipris gniuždant. Atrodytų, kad tempiamojo betono įtaka, atlaikant įrąžas skerspjūvyje, yra nereikšminga. Iš tiesų, nustatant lenkiamųjų elementų stiprumą normaliniame pjūvyje, tempiamo betono įtempių galima nevertinti. Kita vertus, skaičiuojant įlinkius, neįvertinus tempiamojo betono įtakos, gali būti daroma didesnė nei 100 % paklaida. Adekvatus supleišėjusio tempiamojo betono įtakos įvertinimas, nustatant trumpalaike apkrova veikiamų gelžbetoninių elementų deformacijas, yra bene svarbiausia ir sudėtingiausia problema. Plyšio vietoje betonas negali atlaikyti tempimo įtempių, todėl visą įrąžą atlaiko armatūra. Kadangi plyšyje ir gretimuose pjūviuose armatūra praslysta betono atžvilgiu, kontakto zonoje atsiranda tangentiniai įtempiai. Šie įtempiai perduodami betonui, todėl jis atlaiko tempimo įtempius. Armatūros ir betono sąveika ruožuose tarp plyšių standina gelžbetoninį elementą. Supleišėjusio betono gebėjimas atlaikyti tempimo įtempius vadinama tempimo sustandėjimu (angl. tension stiffening). Šis efektas dažniausiai modeliuojamas supleišėjusio betono įtempių ir deformacijų diagrama, taikant vidutinių plyšių koncepciją. Tuomet neatsižvelgiama į diskrečius plyšius, o supleišėjęs betonas traktuojamas kaip ortotropinė medžiaga su pakitusiomis savybėmis. Dauguma tempimo sustandėjimo modelių įvertina betono įtempių... [toliau žr. visą tekstą] / Modelling behaviour of cracked tensile concrete is a complicated issue. Due to bond with reinforcement, the cracked concrete between cracks carries a certain amount of tensile force normal to the cracked plane. Concrete adheres to rein-forcement bars and contributes to overall stiffness of the structure. The phe-nomenon, called tension-stiffening, has significant influence on the results of short-term deformational analysis. Assumption of a tension-stiffening law has great influence on numerical results of load – deflection behaviour of reinforced concrete members subjected to short – term loading. Under wrong assumption of this law, errors in calculated deflections, particularly for lightly members, may exceed 100 %. Most known tension-stiffening relationships relate average stresses to average strains. However, some experimental and theoretical investi-gations have shown that tension-stiffening may be affected by other parameters. The scientific supervisor of the thesis has proposed a tension-stiffening model depending on reinforcement ratio. This model has been developed using experi-mental data reported in the literature. Besides, concrete shrinkage effect was not taken into account. The main objective of this PhD dissertation is to propose a tension-stiffening law for bending RC members subjected to short-term loading with eliminated concrete shrinkage effect.

Application of refined ultimate state theories and use of high strength materials have resulted in longer spans and smaller depths of reinforced and prestressed concrete structures. Consequently, the condition of the limiting deflection rather than the strength requirement often is the governing design criterion. Long-term deflections might be up to 3 to 4 times larger than the short-term deflections. Such increments are caused by complex physical effects such as concrete creep, shrinkage and cracking, bond defects, etc. Long-term concrete creep and shrinkage deformations govern prestress losses. Structural analysis can be carried out either by traditional design code methods or numerical techniques. Although design code methods ensure safe design, they have significant limitations. Different techniques are used for strength, deflection, crack width and prestress loss analyses. Besides, most of the simplified approaches do not assess such factors as concrete shrinkage, cracking or tension stiffening. Based on a large number of empirical expressions and factors, they lack physical interpretation and do not reveal the actual stress-strain state of cracked structures. On the other hand, numerical techniques are universal and can take into account each physical effect. However, inadequacies made in the prediction of each effect might lead to significant inaccuracies when integral magnitudes such as deflection are to be assessed. Consequently, the predictions by the numerical... [to full text]

Modelling behaviour of cracked tensile concrete is a complicated issue. Due to bond with reinforcement, the cracked concrete between cracks carries a certain amount of tensile force normal to the cracked plane. Concrete adheres to rein-forcement bars and contributes to overall stiffness of the structure. The phe-nomenon, called tension-stiffening, has significant influence on the results of short-term deformational analysis. Assumption of a tension-stiffening law has great influence on numerical results of load – deflection behaviour of reinforced concrete members subjected to short – term loading. Under wrong assumption of this law, errors in calculated deflections, particularly for lightly members, may exceed 100 %. Most known tension-stiffening relationships relate average stresses to average strains. However, some experimental and theoretical investi-gations have shown that tension-stiffening may be affected by other parameters. The scientific supervisor of the thesis has proposed a tension-stiffening model depending on reinforcement ratio. This model has been developed using experi-mental data reported in the literature. Besides, concrete shrinkage effect was not taken into account. The main objective of this PhD dissertation is to propose a tension-stiffening law for bending RC members subjected to short-term loading with eliminated concrete shrinkage effect. / Gelžbetonis yra kompozitinė medžiaga, kurios komponentai yra betonas ir plieninė armatūra. Kaip žinoma, betono stipris tempiant yra 10-20 kartų mažesnis nei stipris gniuždant. Atrodytų, kad tempiamojo betono įtaka, atlaikant įrąžas skerspjūvyje, yra nereikšminga. Iš tiesų, nustatant lenkiamųjų elementų stiprumą normaliniame pjūvyje, tempiamo betono įtempių galima nevertinti. Kita vertus, skaičiuojant įlinkius, neįvertinus tempiamojo betono įtakos, gali būti daroma didesnė nei 100 % paklaida. Adekvatus supleišėjusio tempiamojo betono įtakos įvertinimas, nustatant trumpalaike apkrova veikiamų gelžbetoninių elementų deformacijas, yra bene svarbiausia ir sudėtingiausia problema. Plyšio vietoje betonas negali atlaikyti tempimo įtempių, todėl visą įrąžą atlaiko armatūra. Kadangi plyšyje ir gretimuose pjūviuose armatūra praslysta betono atžvilgiu, kontakto zonoje atsiranda tangentiniai įtempiai. Šie įtempiai perduodami betonui, todėl jis atlaiko tempimo įtempius. Armatūros ir betono sąveika ruožuose tarp plyšių standina gelžbetoninį elementą. Supleišėjusio betono gebėjimas atlaikyti tempimo įtempius vadinama tempimo sustandėjimu (angl. tension stiffening). Šis efektas dažniausiai modeliuojamas supleišėjusio betono įtempių ir deformacijų diagrama, taikant vidutinių plyšių koncepciją. Tuomet neatsižvelgiama į diskrečius plyšius, o supleišėjęs betonas traktuojamas kaip ortotropinė medžiaga su pakitusiomis savybėmis. Dauguma tempimo sustandėjimo modelių įvertina betono įtempių... [toliau žr. visą tekstą]

[pt] A utilização de barras de polímero reforçado por fibras de vidro (glass fiber reinforced polymer, GFRP, em inglês) como reforço de estruturas de concreto armado, vem ganhando popularidade principalmente devido à sua resistência à corrosão e resistência mecânica. Entretanto, seu baixo módulo de elasticidade pode acarretar em problemas na estrutura em serviço, como grandes aberturas de fissuras e deflexões quando comparado com concreto armado por barras de aço. No presente estudo, um programa experimental foi realizado com o objetivo de avaliar a influência da adição de 10 kg/m3 de fibras de polipropileno (PP) em elementos de concreto armado por barras de GFRP submetidos à tração direta e flexão. Caracterização mecânica e ensaios de arrancamento (pullout) foram realizados para avaliar as propriedades dos materiais constituintes e de sua interface, respectivamente. A formação e evolução das fissuras, bem como o efeito de enrijecimento à tração no material proposto, foram avaliados por meio de ensaios de tração direta em prismas de concreto armado. Ensaios de flexão em quatro pontos foram realizados para investigar o desenvolvimento da deflexão com o carregamento, o padrão de fissuração e o comportamento momento-curvatura dos espécimes. Correlação de imagem digital (digital image correlation, DIC, em inglês) foi utilizada para monitoramento de deformações, distâncias e aberturas de fissuras relevantes para a análise. Por fim, os resultados dos ensaios de flexão foram comparados com um modelo analítico. Uma redução considerável da abertura de fissuras e um melhor comportamento de múltipla fissuração foi observado para os espécimes com adição de fibras, além de um pequeno acréscimo de rigidez à flexão. / [en] Glass-fiber reinforced polymer (GFRP) bars have been more often used in reinforced concrete (RC) structures mainly due to superior corrosion resistance and mechanical strength. However, the low modulus of elasticity leads to serviceability issues such as wider crack openings and larger deflections when compared to conventional RC. To improve the performance and allow for a more effective use of GFRP reinforcement, the addition of randomly disperse short polypropylene fibers (PP) to the concrete matrix is proposed. In the present study, an experimental program intending to investigate the flexural and tensile behavior of concrete members reinforced with GFRP bars and 10 kg/m3 of PP is carried out. Mechanical characterization and pull-out tests were carried out respectively to characterize the materials and interface between GFRP bar and concrete. Crack formation and growth, and tension stiffening effect in the proposed construction material were investigated by tension tests in reinforced concrete prisms. Four points bending tests were performed to evaluate the mid-span deflection, crack opening and moment-curvature relationship of the specimen. Digital image correlation was used to gather information about relevant data. It was proposed an analytical model to compare the results obtained in bending tests. A considerable reduction in crack openings, a better multiple cracks behavior and a slightly stiffer behavior was obtained due to fiber addition.

Software for designing structural frameworks in civil engineering is getting more and more complex. By offering reliable and efficient calculation methods, economic goals can be reached as well as the civil engineer's demands. Furthermore, opportunities for special developments are created and acceptance of new building systems is increased. The work presented here introduces a method for the physically nonlinear analysis of different composite beam designs for building and bridge structures which are subjected mainly to bending stresses under quasi-static, long-term loading. In addition, the utilization of these methods, including materials and modelling concepts, are shown in a newly developed software package. Present developments for composite construction and civil engineering requirements are the basis for the materials and modelling possibilities discussed. Particular attention is given to a realistic description of time and load dependent variables characterizing the state of the composite structures and their interactions. The selection of material models is based on experimental results. The main points of interest are concrete properties like creep, shrinkage, effluent hydration heat, cracking and boundary behaviour between different materials. Material behaviour under load and reload conditions was taken into account as well. The static solution is based on the incremental iterative application of the deformation method. Each iteration starts with the numerical integration of the beam system of differential equations. Based on the effects at the beam boundaries, the consideration of load and system modifications, as well as time dependent and independent constraint processes, is shown. An essential extension of the composite beam structure model is obtained using the system of differential equations for the flexible bond. Several detailed models are linked to a time dependent simulation for the entire system, which has been incorporated into a software package visualizing the time dependent variables. Finally, some practical application examples are presented. The validation of the implemented approach is demonstrated by correlating the calculated results with real life measurements. / Softwareentwicklungen für die Tragwerksplanung im Bauwesen werden zunehmend komplexer. Mit der Bereitstellung zuverlässiger und effizienter Berechnungsmethoden, welche sowohl ingenieurgemäße Ansprüche als auch wirtschaftliche Zielsetzungen erfüllen, werden neue Möglichkeiten für eine zielgerichtete Entwicklung oder verstärkte Etablierung von neueren Bauweisen geschaffen. Die vorliegende Arbeit beschreibt ein Verfahren zur physikalisch nichtlinearen Analyse vorwiegend biegebeanspruchter Verbund-Stabtragwerke des Hoch- und Brückenbaues unter quasi-statischer Langzeitbeanspruchung. Die zugehörige programmtechnische Umsetzung wird veranschaulicht. Die Modellierungsmöglichkeiten bezüglich der Werkstoffe orientieren sich an baupraktisch relevanten Erfordernissen sowie an den Besonderheiten und aktuellen Entwicklungen der Verbundbauweise. Besonderes Augenmerk wird zunächst auf eine realitätsnahe Darstellung der den Gebrauchs¬zustand von Verbundtragwerken charakterisierenden zeit- und lastabhängigen Einflussgrößen sowie ihrer Wechselwirkungen gelegt. Zur objektiven Beurteilung möglicher Materialmodelle wird zuerst auf das prinzipielle Verhalten im Experiment eingegangen, danach erfolgt eine Auswahl geeigneter Modelle. Schwerpunkte stellen dabei insbesondere die Betoneigenschaften Kriechen, Schwinden, abfließende Hydratationswärme und die Rissbildung sowie das Verbundverhalten zwischen den Werkstoffen dar. Diese Betrachtungen schließen das Werk¬stoffverhalten unter Be- und Entlastung ein. Die statische Lösung basiert auf einer inkrementell-iterativen Anwendung der Deformations¬methode. Ausgangspunkt der Berechnungen in einem Iterationsschritt ist die numerische Integration des Stab-Differentialgleichungssystems. Ausgehend von der Formulierung der Wirkungsgrößen an einem Stabrändern wird die Berücksichtigung von Belastungs- und Systemmodifikationen sowie zeitabhängigen und -unabhängigen Zwangsprozessen aufgezeigt. Eine wesentliche Erweiterung der Anwendungen im Stahl-Beton-Verbundbau stellt die Herleitung des Stab-Differentialgleichungssystems für den nachgiebigen Verbund dar. Mit der Verknüpfung einzelner Detailmodelle zu einem zeitabhängigen Lösungsverfahren und deren Integration in einen entsprechenden Softwareentwurf wird die programmtechnische Basis für eine modellhafte, zeitvariante Erfassung der beschreibenden Kenngrößen bereitgestellt. Ausgewählte praktische Beispiele demonstrieren abschließend die Anwendungsmöglichkeiten des Verfahrens und stellen die Verifikation der Simulationsergebnisse anhand von Messungen dar.

Software for designing structural frameworks in civil engineering is getting more and more complex. By offering reliable and efficient calculation methods, economic goals can be reached as well as the civil engineer's demands. Furthermore, opportunities for special developments are created and acceptance of new building systems is increased. The work presented here introduces a method for the physically nonlinear analysis of different composite beam designs for building and bridge structures which are subjected mainly to bending stresses under quasi-static, long-term loading. In addition, the utilization of these methods, including materials and modelling concepts, are shown in a newly developed software package. Present developments for composite construction and civil engineering requirements are the basis for the materials and modelling possibilities discussed. Particular attention is given to a realistic description of time and load dependent variables characterizing the state of the composite structures and their interactions. The selection of material models is based on experimental results. The main points of interest are concrete properties like creep, shrinkage, effluent hydration heat, cracking and boundary behaviour between different materials. Material behaviour under load and reload conditions was taken into account as well. The static solution is based on the incremental iterative application of the deformation method. Each iteration starts with the numerical integration of the beam system of differential equations. Based on the effects at the beam boundaries, the consideration of load and system modifications, as well as time dependent and independent constraint processes, is shown. An essential extension of the composite beam structure model is obtained using the system of differential equations for the flexible bond. Several detailed models are linked to a time dependent simulation for the entire system, which has been incorporated into a software package visualizing the time dependent variables. Finally, some practical application examples are presented. The validation of the implemented approach is demonstrated by correlating the calculated results with real life measurements. / Softwareentwicklungen für die Tragwerksplanung im Bauwesen werden zunehmend komplexer. Mit der Bereitstellung zuverlässiger und effizienter Berechnungsmethoden, welche sowohl ingenieurgemäße Ansprüche als auch wirtschaftliche Zielsetzungen erfüllen, werden neue Möglichkeiten für eine zielgerichtete Entwicklung oder verstärkte Etablierung von neueren Bauweisen geschaffen. Die vorliegende Arbeit beschreibt ein Verfahren zur physikalisch nichtlinearen Analyse vorwiegend biegebeanspruchter Verbund-Stabtragwerke des Hoch- und Brückenbaues unter quasi-statischer Langzeitbeanspruchung. Die zugehörige programmtechnische Umsetzung wird veranschaulicht. Die Modellierungsmöglichkeiten bezüglich der Werkstoffe orientieren sich an baupraktisch relevanten Erfordernissen sowie an den Besonderheiten und aktuellen Entwicklungen der Verbundbauweise. Besonderes Augenmerk wird zunächst auf eine realitätsnahe Darstellung der den Gebrauchs¬zustand von Verbundtragwerken charakterisierenden zeit- und lastabhängigen Einflussgrößen sowie ihrer Wechselwirkungen gelegt. Zur objektiven Beurteilung möglicher Materialmodelle wird zuerst auf das prinzipielle Verhalten im Experiment eingegangen, danach erfolgt eine Auswahl geeigneter Modelle. Schwerpunkte stellen dabei insbesondere die Betoneigenschaften Kriechen, Schwinden, abfließende Hydratationswärme und die Rissbildung sowie das Verbundverhalten zwischen den Werkstoffen dar. Diese Betrachtungen schließen das Werk¬stoffverhalten unter Be- und Entlastung ein. Die statische Lösung basiert auf einer inkrementell-iterativen Anwendung der Deformations¬methode. Ausgangspunkt der Berechnungen in einem Iterationsschritt ist die numerische Integration des Stab-Differentialgleichungssystems. Ausgehend von der Formulierung der Wirkungsgrößen an einem Stabrändern wird die Berücksichtigung von Belastungs- und Systemmodifikationen sowie zeitabhängigen und -unabhängigen Zwangsprozessen aufgezeigt. Eine wesentliche Erweiterung der Anwendungen im Stahl-Beton-Verbundbau stellt die Herleitung des Stab-Differentialgleichungssystems für den nachgiebigen Verbund dar. Mit der Verknüpfung einzelner Detailmodelle zu einem zeitabhängigen Lösungsverfahren und deren Integration in einen entsprechenden Softwareentwurf wird die programmtechnische Basis für eine modellhafte, zeitvariante Erfassung der beschreibenden Kenngrößen bereitgestellt. Ausgewählte praktische Beispiele demonstrieren abschließend die Anwendungsmöglichkeiten des Verfahrens und stellen die Verifikation der Simulationsergebnisse anhand von Messungen dar.

Tesis por compendio / [ES] Todas estructuras, especialmente las conformadas con hormigón armado, no solo deben cumplir con la seguridad necesaria bajo los Estados Límites Últimos (ULS), además es imprescindible que garanticen un comportamiento adecuado frente a condiciones de servicio. En general, los requisitos fundamentales de servicio que debe cumplir este tipo de estructuras son: la funcionalidad, comodidad para el usuario y la apariencia. Sin embargo, estos no se pueden verificar de forma directa; por lo tanto, ha sido necesario definir criterios de desempeño tales como control de deflexión, control de vibración y control de agrietamiento para dar cumplimiento a lo indicado anteriormente. Además, se dificulta el cálculo de la capacidad de servicio debido al fenómeno de agrietamiento, el efecto de rigidez por tensión, la contracción y los efectos de fluencia. Por lo tanto, el control de la fisuración en estructuras de hormigón armado generalmente se logra limitando la tensión en el refuerzo de acero y la matriz de hormigón. Siendo así que, en los diseños incluidos en códigos relevantes a hormigón, especifican la tensión máxima del refuerzo de acero después de la fisuración y el ancho máximo de fisura para los miembros estructurales de CR o FRC, no obstante los aspectos de capacidad de servicio del diseño para el hormigón reforzado con fibras de ultra alto rendimiento reforzado (R-UHPFRC), no han sido incluidos en los códigos o recomendaciones de UHPFRC. A pesar de que se han realizado muchos esfuerzos en la investigación tanto experimental como teórica sobre el comportamiento de servicio de los elementos estructurales de CR o FRC durante las últimas décadas, para el R-UHPFRC se debe desarrollar aún más su conocimiento relacionado con los requisitos para el diseño de capacidad de servicio, incluyendo su comportamiento de tensión y agrietamiento. En este marco, el objetivo principal de la presente tesis doctoral es evaluar el comportamiento de servicio de R-UHPFRC. Por tal razón, es fundamental realizar la evaluación del comportamiento de deformación y fisuración de los elementos de tracción R-UHPFRC. Para ello, se abordaron y cumplieron adecuadamente dos puntos principales. El primero, diseñar una metodología de prueba innovadora y adecuada para ejecutar los experimentos requeridos para este proyecto de doctorado. En segundo lugar, se llevó a cabo la evaluación de la respuesta de rigidez a la tensión y el comportamiento de agrietamiento del R-UHPFCR, que son parámetros primordiales para el diseño de capacidad de servicio. Para estudiar estos dos parámetros, se consideraron algunos parámetros importantes tales como: el efecto del volumen del contenido de fibra, el tipo de fibra, el efecto del tamaño, el efecto de la relación de refuerzo y el efecto de la contracción. Finalmente, para evaluar los parámetros mencionados, se presentan cuatro campañas experimentales. Cada una de ellas, representa un nivel diferente de estudio. El primero corresponde a la validación de la metodología de ensayo de tracción propuesta y examinar los datos experimentales obtenidos, para emplearlos en futuros estudios de este proyecto. El segundo nivel consistió en establecer y realizar experimentos completos con dos tipos de fibra de acero, modificando además su cantidad, es así como se utilizaron diferentes proporciones de refuerzo y sección transversal para evaluar el efecto tanto del tamaño como del contenido de fibra, respectivamente. También, en un estudio experimental específico se indagó sobre el efecto de la combinación de micro y microfibras de acero en la deformación y el comportamiento de agrietamiento de los elementos R-UHPFRC de tracción. El tercer nivel corresponde a una prueba de contracción intensiva, necesaria para obtener el valor de contracción del UHPFRC utilizado en esta investigación. El último nivel comprende la modificación de la geometría de la probeta y el uso de probetas en forma de hueso de perro para evaluar el ancho medio y máximo de fisura (valor / [CA] Totes les estructures, especialment les conformades amb formigó armat, no només han de complir amb la seguretat necessària sota els Estats Límits Últims (ULS), a més és imprescindible que garanteixin un comportament adequat davant de condicions de servei. En general, els requisits fonamentals de servei que ha de complir aquest tipus d'estructures són: la funcionalitat, la comoditat per a l'usuari i l'aparença. Això no obstant, aquests no es poden verificar de forma directa; per tant, ha calgut definir criteris d'acompliment com ara control de deflexió, control de vibració i control d'esquerdament per a donar compliment al que s'ha indicat anteriorment. A més, es dificulta el càlcul de la capacitat de servei a causa del fenomen d'esquerdament, l'efecte de rigidesa per tensió, la contracció i els efectes de fluència. Per tant, el control de la fissuració en estructures de formigó armat generalment s'aconsegueix limitant la tensió al reforç d'acer i la matriu de formigó. És així que en els dissenys inclosos en codis rellevants a formigó, especifiquen la tensió màxima del reforç d'acer després de la fissuració i l'amplada màxima de fissura per als membres estructurals de CR o FRC, no obstant els aspectes de capacitat de servei del disseny per al formigó reforçat amb fibres d'ultra alt rendiment reforçat (R-UHPFRC), no han estat inclosos als codis o recomanacions d'UHPFRC. Tot i que s'han realitzat molts esforços en la investigació tant experimental com teòrica sobre el comportament de servei dels elements estructurals de CR o FRC durant les últimes dècades, per al R-UHPFRC s'ha de desenvolupar encara més el seu coneixement relacionat amb els requisits per al disseny de capacitat de servei, incloent el comportament de tensió i esquerdament. En aquest marc, l'bjectiu principal de la present tesi doctoral és avaluar el comportament de servei de R-UHPFRC. Per aquesta raó, és fonamental fer l'avaluació del comportament de deformació i fissuració dels elements de tracció R-UHPFRC. Per això, es van abordar i van complir adequadament dos punts principals. El primer, dissenyar una metodologia de prova innovadora i adequada per executar els experiments requerits per a aquest projecte de doctorat. En segon lloc, es va fer l'avaluació de la resposta de rigidesa a la tensió i el comportament d'esquerdament del R-UHPFCR, que són paràmetres primordials per al disseny de capacitat de servei. Per estudiar aquests dos paràmetres, es van considerar alguns paràmetres importants com ara l'efecte del volum del contingut de fibra, el tipus de fibra, l'efecte de la mida, l'efecte de la relació de reforç i l'efecte de la contracció. Finalment, per avaluar els paràmetres mencionats, es presenten quatre campanyes experimentals. Cadascuna representa un nivell diferent d'estudi. El primer correspon a la validació de la metodologia dassaig de tracció proposada i examinar les dades experimentals obtingudes, per a emprar-les en futurs estudis daquest projecte. El segon nivell va consistir a establir i realitzar experiments complets amb dos tipus de fibra d'acer, modificant-ne a més la quantitat, és així com es van utilitzar diferents proporcions de reforç i secció transversal per avaluar l'efecte tant de la mesura com del contingut de fibra, respectivament. També, en un estudi experimental específic, es va indagar sobre l'efecte de la combinació de micro i macrofibres d'acer en la deformació i el comportament d'esquerdament dels elements R-UHPFRC de tracció. El tercer nivell correspon a una prova de contracció intensiva, necessària per obtenir el valor de contracció de l'UHPFRC utilitzat en aquesta investigació. L'últim nivell comprèn la modificació de la geometria de la proveta i l'ús de provetes en forma d'os de gos per avaluar l'amplada mitjana i màxima de fissura (valor real detectat) provocat per esforços de tracció en els elements de tracció R-UHPFRC . És important esmentar que es van fer diferents anàlisis per a cada investigació experimental i es van ac / [EN] All structures, particularly reinforcement concrete structures, apart from meeting necessary security against Ultimate Limit States (ULS), must exhibit appropriate behaviour under service conditions. Generally, the fundamental serviceability requirements that concrete structures should meet are functionality, user comfort and appearance. These requirements cannot, however, be directly checked. Therefore, performance criteria, such as deflection control, vibration control and cracking control, are defined to meet these requirements. Serviceability calculation is complicated because of the cracking phenomenon, the tension stiffening effect, shrinkage, and creep effects. Cracking control in reinforced concrete (RC) structures is generally achieved by limiting stress in steel reinforcement and the concrete matrix. Many concrete code designs specify a maximum steel reinforcement stress after cracking and a maximum crack width for RC or fibre-RC (FRC) structural members, while the design serviceability aspects for Reinforced Ultra-High Performance Fibre-Reinforced Concrete (R-UHPFRC) are poorly considered in UHPFRC codes or recommendations. Many efforts have been made in experimental and theoretical research into the serviceability behaviour of RC or FRC structural elements in the last few decades. However, for R-UHPFRC, knowledge about tension and cracking behaviour must improve and serviceability design requirements have to be further studied. Within this framework, the main purpose of the present PhD thesis is to evaluate the serviceability behaviour of R-UHPFRC. For this purpose, the evaluation of the deformation and cracking behaviour of R-UHPFRC tensile elements is essential. To that end, two main items were addressed and adequately met. The first one was to design an innovative and adequate test methodology to carry out the experiments required for this PhD project. The second involved evaluating the tension stiffening response and cracking behaviour of R-UHPFRC, which are fundamental parameters for R-UHPFRC structures' serviceability design. To study these two parameters, important parameters were considered, such as fibre content, fibre type, size effect, reinforcement ratio and shrinkage effect. In order to evaluate the aforementioned parameters, four experimental campaigns are presented. Each campaign represents a different study level. The first corresponds to the validation of the proposed tensile test methodology and to the examination of the obtained experimental data for future studies required for this PhD project. The second experimental study level corresponds to establishing and undertaking comprehensive experimental programmes with two different steel fibre types and fibre contents. Different cross-section and reinforcement ratios were used to evaluate the size effect and fibre content effect, respectively. The effect of the micro- and macro-steel fibres combination on the deformation and cracking behaviour of tensile R-UHPFRC elements was investigated in a specific experimental study. The third level corresponds to an intensive shrinkage test, which was conducted to obtain the shrinkage value of the UHPFRC used in this PhD study. The final level corresponds to a specific experimental study, done by modifying the specimen's geometry and using the dog bone-shaped specimens to evaluate the average and maximum crack width (real detected value) caused by tensile stresses in R-UHPFRC tensile elements. It is worth mentioning that different analyses were performed for each experimental research and appropriate results were achieved to fulfil the thesis aims. Keywords: cracking behaviour, design criteria, durability, fragility curve, post-cracking tensile stiffness, serviceability behaviour, shrinkage, SLS requirements, structural design, tensile elements, tension stiffening, test method, tie, UHPFRC. / This work is part of Project “BIA2016-78460-C3-1-R” supported by the State Research Agency of Spain / Khorami, M. (2023). Serviceability Behaviour of Reinforced UHPFRC Tensile Elements [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/192683 / Compendio