scholarly journals Tratado Prático Sobre Funções de Singularidade: Modelamento de Cargas em Vigas de Concreto Armado

Author(s):  
Nilo Serpa

<p>Present treatise deals with applications of singularity functions from a broad perspective in civil engineering, extending its use to hyperstatics, and deepening mathematical questions little explored before. The content is presented through examples discussed in detail, giving to the reader a clear and objective reading. Original mathematical formulations are developed, such as the Macaulay-Serpa series. The treatise is extended to the calculation of hyperstatic porticoes and to the modeling of triangular loads. In this context, the theory appears as an important instrument for the analysis of ruptures in reinforced concrete beams. For the accomplishment of this treatise, an exhaustive search of bibliographical references was made, showing that the existent literature on the subject, mostly of foreign origin, is quite limited.</p><p class="-1"><strong>Key words: </strong>Singularity functions, reinforced concrete, hyperstatics, discontinuous loading, elastic curve.</p><p class="-1">==================================================================================== </p><p>O presente tratado versa sobre aplicações das funções de singularidade numa ampla perspectiva da engenharia civil, estendendo seu uso à hiperestática e aprofundando questões matemáticas pouco exploradas anteriormente. O conteúdo é apresentado através de exemplos discutidos em detalhes, proporcionando ao leitor uma leitura clara e objetiva. Formulações matemáticas originais são desenvolvidas, como a série Macaulay-Serpa. O tratado é estendido ao cálculo de pórticos hiperestáticos e à modelagem de cargas triangulares. Nesse contexto, a teoria aparece como um instrumento importante para a análise de rupturas em vigas de concreto armado. Para a realização deste tratado, foi feita uma busca exaustiva das referências bibliográficas, mostrando que a literatura existente sobre o assunto, principalmente de origem estrangeira, é bastante limitada.</p><p class="-1"><strong>Palavras-Chave: </strong>Funções de singularidade, concreto armado, hiperestática, carga descontínua, curva elástica. </p>

Sensors ◽  
2020 ◽  
Vol 20 (17) ◽  
pp. 4711 ◽  
Author(s):  
Piotr Adam Bońkowski ◽  
Piotr Bobra ◽  
Zbigniew Zembaty ◽  
Bronisław Jędraszak

The recent rapid development of rotation rate sensor technology opens new opportunities for their application in more and more fields. In this paper, the potential of rotational sensors for the modal analysis of full-scale civil engineering structural elements is experimentally examined. For this purpose, vibrations of two 6-m long beams made of ultra-high performance concrete (UHPC) were measured using microelectromechanical system (MEMS) rotation rate sensors. The beams were excited to vibrations using an impact hammer and a dynamic vibration exciter. The results of the experiment show that by using rotation rate sensors, one can directly obtain derivatives of mode shapes and deflection shapes. These derivatives of mode shapes, often called “rotational modes”, bring more information regarding possible local stiffness variations than the traditional transversal and deflection mode shapes, so their extraction during structural health monitoring is particularly useful. Previously, the rotational modes could only be obtained indirectly (e.g., by central difference approximation). Here, with the application of rotation rate sensors, one can obtain rotational modes and deflection shapes with a higher precision. Furthermore, the average strain rate and dynamic strain were acquired using the rotation rate sensors. The laboratory experiments demonstrated that rotation rate sensors were matured enough to be used in the monitoring and modal analyses of full-scale civil engineering elements (e.g., reinforced concrete beams).


2013 ◽  
Vol 12 (4) ◽  
pp. 219-224
Author(s):  
Tadeusz Ciężak

This paper presents a methodology of dimensioning of double reinforced concrete beams which are reinforced in the light of the requirements of the EC2 [1] in two variants. In the first variant, the limiting value of the compression zone was determined on the basis of limiting strains of concrete and steel. The maximum degree of concrete reinforcement of bending elements are assumed in the second case. The considered problem is illustrated by computational examples in relation to the concrete classes C30/37 and C70/85. Results of the calculations cannot be the basis for generalizations, however, differences in the section of the reinforcement determined in both cases are small and do not exceed 6%.


2019 ◽  
Vol 12 (2) ◽  
pp. 259-269
Author(s):  
Moein Zargar ◽  
Hossein Gholami ◽  
Hossein Norouzi ◽  
Morteza Soltani ◽  
Shahide Dehghan ◽  
...  

2011 ◽  
Vol 9 (2) ◽  
pp. 005-022
Author(s):  
Łukasz Jabłoński

The article presents data available in the literature concerning shear problem of composite concrete T-beams - their running in support zone and contact surface. To begin with presented where are in the civil engineering T-sectional composite elements. Following made an analysis of method for geometric buckling (according to standards [12,14]) T-sections of monolithic and composite beams without and with cracked contact surfaces. There were also literature [6,7,8,9] and standards [12,13] studies in field of support zone and between flange and web shearing solid T-beams in order to know the matter. In the essence of problem concentrated on: horizontal shearing in contact surface between precast and cast in place components, running support zone of bending composite beams and complete rib-and-slab floors’ sharing data [3,5,12,14,15,16]. At the end reported the most important researches in shearing and running contact surface of composite T-beams [3,4,10,11] also draw a conclusions to my own work.


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