The number of horizontal wells is increasing rapidly in all over the world with the growth of new technological developments. During horizontal well drilling, much more complex problems occur when compared with vertical well drilling, such as decrease in load transfer to the bit, tubular failure, tubular fatigue and tubular lock-up. This makes selection of appropriate tubular and making the right drill string design more important. As the total compression load on the horizontal section increases, the behavior of the tubular changes from straight to sinusoidal buckling, and if the total compression load continues to increase the behavior of the tubular changes to helical buckling. Determination of critical buckling loads with finite element method (FEM) in horizontal wells is the main objective of this study. Initially, a computer program (ANSYS) that uses FEM is employed to simulate different tubular and well conditions. Four different pipe sizes, four different wellbore sizes and three different torque values are used to model the cases. Critical buckling load values corresponding to significant variables are collected from these simulated cases. The results are classified into different buckling modes according to the applied weight on bit values and the main properties of the simulated model, such as modulus of elasticity, moment of inertia of tubular cross section, weight per unit length of tubular and radial clearance between the wellbore and the tubular. Then, the boundary equations between the buckling modes are obtained. The equations developed in this thesis by simulating the cases for the specific tubular sizes are used to make a comparison between the critical buckling load values from the models in the literature and this work. It is observed that the results of this work fit with literature models as the tubular size increases. The influence of torque on critical buckling load values is investigated. It is observed that torque has a slight effect on critical buckling load values. Also the applicability of ANSYS for buckling problems was revealed by comparing the ANSYS results with the literature models&amp / #8217 / results and the experimental study in the literature.

O objetivo desta pesquisa é apresentar procedimentos de verificação da estabilidade lateral de vigas de concreto em situações transitórias e com eles realizar análises paramétricas. As fases transitórias estudadas são içamento, transporte e pré-serviço com e sem contraventamento nos apoios. As formulações apresentadas contém cálculo de carga crítica de instabilidade lateral, momento crítico e fator de segurança. São apresentados exemplos numéricos e a partir deles realizadas análises paramétricas com intuito de determinar limites de segurança. Os parâmetros variados foram fck, imperfeições geométricas, vão, largura da mesa comprimida e espessura da alma fazendo uma comparação entre vigas I e retangular. Com os resultados, foram obtidas esbeltezes geométricas limite para fases transitórias, relações entre carga crítica e carga devido ao peso próprio e uma relação entre momento crítico elástico e momento último de flexão para a fase transitória anterior à execução do tabuleiro com contraventamento nos apoios, especificamente. Na comparação entre vigas I e retangular, constatou-se que os dois tipos de seção apresentam limites de segurança distintos. As análises mostraram que os limites de esbeltez geométrica recomendados, como lh/bf², geram elementos, de seção transversal I, muito esbeltos. Este parâmetro apresentou uma variação significativa na tentativa de determinar limites nas análises paramétricas. Portanto, pode ser conservador adotar como limite a menor esbeltez obtida nas análises. Conclui-se que a verificação da segurança por esbeltezes geométricas nem sempre é adequada, pois não são considerados parâmetros como imperfeições geométricas e fck que mostraram serem importantes nas análises paramétricas. A esbeltez representada pela razão entre momento último e momento crítico de instabilidade elástico é mais abrangente e a busca por um valor limite deste parâmetro apresentou resultados com pouca variação para as vigas I. Com relação ao limite clássico de segurança que recomenda uma carga crítica maior que quatro vezes a carga de peso próprio, os resultados mostraram que esta recomendação é conservadora. As análises paramétricas mostraram que para vigas I esta razão igual a dois e meio atende a segurança destes elementos. / The objective of this research is to present a contribution to the verification of lateral stability of concrete beams in transient situations through parametric analyzes. The transient phases studied are lifting, transportation and prior to execution of the deck with braced and unbraced supports. Formulations presented contain calculation of buckling load, buckling moment and factor of safety. Numerical examples are presented and parametric analyzes are performed from these aiming to determine safety limits. The varied parameters were fck, geometric imperfections, span, compression flange width and web width by making a comparison between I-beams and rectangular beams. With the results, slenderness limits were obtained for transient phases, relationships between critical load and load due to self-weight and a relationship between elastic critical moment and ultimate moment to the transient situation before the execution of the deck with braced supports, specifically. In the comparison between I-beams and rectangular beams, it was found that the two types of section present different safety limits. Analyzes showed that the geometric slenderness limits recommended, as lh/bf², generate slender elements of I cross section. This parameter showed a significant variation in an attempt to determine limits on parametric analyzes. Therefore adopt the lower slenderness limit obtained in analyzes may be conservative. It is concluded that the safety verification by geometric slenderness is not always adequate, because they do not consider parameters such as geometric imperfections and fck that showed to be important in the parametric analyzes. The slenderness ratio represented by the ultimate moment and elastic critical moment of instability is more comprehensive and the search for a limiting value of this parameter presented results with little variation for the I-beams. With respect to the classical limit of safety which recommends that the critical load is greater than four times the self-weight load, the results showed that this recommendation is conservative. Parametric analyzes showed that for I-beams this ratio equal to two and a half addresses the safety of these elements.

O objetivo desta pesquisa é apresentar procedimentos de verificação da estabilidade lateral de vigas de concreto em situações transitórias e com eles realizar análises paramétricas. As fases transitórias estudadas são içamento, transporte e pré-serviço com e sem contraventamento nos apoios. As formulações apresentadas contém cálculo de carga crítica de instabilidade lateral, momento crítico e fator de segurança. São apresentados exemplos numéricos e a partir deles realizadas análises paramétricas com intuito de determinar limites de segurança. Os parâmetros variados foram fck, imperfeições geométricas, vão, largura da mesa comprimida e espessura da alma fazendo uma comparação entre vigas I e retangular. Com os resultados, foram obtidas esbeltezes geométricas limite para fases transitórias, relações entre carga crítica e carga devido ao peso próprio e uma relação entre momento crítico elástico e momento último de flexão para a fase transitória anterior à execução do tabuleiro com contraventamento nos apoios, especificamente. Na comparação entre vigas I e retangular, constatou-se que os dois tipos de seção apresentam limites de segurança distintos. As análises mostraram que os limites de esbeltez geométrica recomendados, como lh/bf², geram elementos, de seção transversal I, muito esbeltos. Este parâmetro apresentou uma variação significativa na tentativa de determinar limites nas análises paramétricas. Portanto, pode ser conservador adotar como limite a menor esbeltez obtida nas análises. Conclui-se que a verificação da segurança por esbeltezes geométricas nem sempre é adequada, pois não são considerados parâmetros como imperfeições geométricas e fck que mostraram serem importantes nas análises paramétricas. A esbeltez representada pela razão entre momento último e momento crítico de instabilidade elástico é mais abrangente e a busca por um valor limite deste parâmetro apresentou resultados com pouca variação para as vigas I. Com relação ao limite clássico de segurança que recomenda uma carga crítica maior que quatro vezes a carga de peso próprio, os resultados mostraram que esta recomendação é conservadora. As análises paramétricas mostraram que para vigas I esta razão igual a dois e meio atende a segurança destes elementos. / The objective of this research is to present a contribution to the verification of lateral stability of concrete beams in transient situations through parametric analyzes. The transient phases studied are lifting, transportation and prior to execution of the deck with braced and unbraced supports. Formulations presented contain calculation of buckling load, buckling moment and factor of safety. Numerical examples are presented and parametric analyzes are performed from these aiming to determine safety limits. The varied parameters were fck, geometric imperfections, span, compression flange width and web width by making a comparison between I-beams and rectangular beams. With the results, slenderness limits were obtained for transient phases, relationships between critical load and load due to self-weight and a relationship between elastic critical moment and ultimate moment to the transient situation before the execution of the deck with braced supports, specifically. In the comparison between I-beams and rectangular beams, it was found that the two types of section present different safety limits. Analyzes showed that the geometric slenderness limits recommended, as lh/bf², generate slender elements of I cross section. This parameter showed a significant variation in an attempt to determine limits on parametric analyzes. Therefore adopt the lower slenderness limit obtained in analyzes may be conservative. It is concluded that the safety verification by geometric slenderness is not always adequate, because they do not consider parameters such as geometric imperfections and fck that showed to be important in the parametric analyzes. The slenderness ratio represented by the ultimate moment and elastic critical moment of instability is more comprehensive and the search for a limiting value of this parameter presented results with little variation for the I-beams. With respect to the classical limit of safety which recommends that the critical load is greater than four times the self-weight load, the results showed that this recommendation is conservative. Parametric analyzes showed that for I-beams this ratio equal to two and a half addresses the safety of these elements.

This diploma thesis deals with the subject of slenderness bars’ stability assessment, especially in the steel structures. Before the assessment of bars in the frame constructions, we search for the influence of the computational model’s settings on the final result. The initial geometrical imperfections are examined on the model of Euler’s bar. The influence of the rigidity of girders on the poles’ buckling length is examined on the basic frame construction. The buckling lengths are assessed in the comparison with the figures we got from the statistical tables and the computational software. The influence of construction’s initial tilt and its replacement by the system of outer forces is examined on the frame structure. Three-hinged frame structure with variable cross-section member is designed then and the influence of non-linear calculations on the inner forces is studied. In the complex frame assessment, the influence of the number of parts of variable cross-section member on the bars’ buckling length is examined.