Relevant bibliographies by topics / Concrete beams – Design and construction – Mathematical models

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  2. Dissertations / Theses
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Academic literature on the topic 'Concrete beams – Design and construction – Mathematical models'

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Published: 4 June 2021
Last updated: 9 February 2022

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Journal articles on the topic "Concrete beams – Design and construction – Mathematical models"

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Thai, Huu-Tai, Trung-Kien Nguyen, Seunghye Lee, Vipulkumar Ishvarbhai Patel, and Thuc P. Vo. "Review of Nonlinear Analysis and Modeling of Steel and Composite Structures." International Journal of Structural Stability and Dynamics 20, no. 04 (April 2020): 2030003. http://dx.doi.org/10.1142/s0219455420300037.

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Structural steel frames exhibit significantly geometric and material nonlinearities which can be captured using the second-order inelastic analysis, also known as advanced analysis. Current specifications of most modern steel design codes, e.g. American code AISC360, European code EC3, Chinese code GB50017 and Australian code AS4100 permit the use of advanced analysis methods for the direct design of steel structures to avoid tedious member capacity checks. In the past three decades, a huge number of advanced analysis and modeling methods have been developed to predict the behavior of steel and composite frames. This paper presents a comprehensive review of their developments, which focus on beam-column elements with close attention to the way to capture geometric and material nonlinearity effects. A brief outline of analysis methods and analysis tools for frames was presented in the initial part of the paper. This was followed by a discussion on the development of displacement-based, force-based and mixed beam elements with distributed plasticity and concentrated plasticity models. The modeling of frames subjected to fire and explosion was also discussed. Finally, a review of the beam-column models for composite structures including concrete-filled steel tubular (CFST) columns, composite beams and composite frames was presented.
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Budvytis, Marius, Alfonso Cobo Escamilla, and Linas Juknevičius. "ANALYSIS OF SHEAR DESIGN RECOMMENDATIONS FOR FRP REINFORCED CONCRETE BEAMS." Engineering Structures and Technologies 10, no. 2 (November 13, 2018): 46–57. http://dx.doi.org/10.3846/est.2018.6478.

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Research shows that most shear design models for concrete beams reinforced with FRP reinforcement provide conservative results that leads to excessive amounts of reinforcement and increased overall cost of such construction. This paper presents comparative analysis of current shear design models for concrete beams reinforced with longitudinal FRP reinforcement and FRP stirrups. New analytical shear design model, developed by Valivonis et al., has been included in the analysis. A database with 88 specimens reinforced with FRP reinforcement was compiled in order to verify the accuracy of the proposed model by Valivonis et al. It is shown that proposed shear design model yields quite accurate and consistent results as an average of Vexp / Vpred values is 0.98 and coefficient of variation is 26.0% for this model.
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Park, Seon-Chee, Won-Kee Hong, Sunkuk Kim, and Xiangyu Wang. "Mathematical Model of Hybrid Precast Gravity Frames for Smart Construction and Engineering." Mathematical Problems in Engineering 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/916951.

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The structural stability, constructability, economic feasibility, environmental-friendliness, and energy efficiency of hybrid composite frame systems have been demonstrated by practical application and research. A hybrid composite frame system combines the economy of precast concrete structures with the constructability of steel frame structures, including erection speed. Novel composite frames will ultimately maximize the efficiency of structural design and facilitate construction. This paper presents hybrid precast frames, which are precast composite frames based on a simple connection between precast concrete columns and beams. The hybrid precast frames designed to resist gravity loading consist of PC columns, PC beams, and steel inserted in the precast members. Steel sections located between the precast columns were simply connected to steel inserted at each end of the precast beams. Dynamic analysis of a 15-story building designed with the proposed composite frame was performed to determine the dynamic characteristics of a building constructed of hybrid frames, including frequencies and mode shapes.
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Luévanos Rojas, Arnulfo. "Numerical experimentation for the optimal design of reinforced rectangular concrete beams for singly reinforced sections." DYNA 83, no. 196 (April 20, 2016): 134–42. http://dx.doi.org/10.15446/dyna.v83n196.48031.

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<p>This paper presents a model for the optimal design of reinforced rectangular concrete beams for singly reinforced sections. It develops an analytical approach to the problem, based on a criterion of minimum cost and minimum weight design with a reduced number of design variables. Representative examples are presented to illustrate the applicability of the formulation in accordance with building code requirements for structural concrete (ACI 318S-13), including the comments on the standards. A comparison is made between the optimal design solution and current design practice for reinforced rectangular concrete beams. The optimal solution for the design of reinforced rectangular concrete beams shows clearly that significant savings can be made in the costs of the construction materials used – i.e. reinforcement steel and concrete. In addition, the problem formulation can be applied using a nonlinear mathematical programming format.</p>
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Nguyen, N. T., D. J. Oehlers, and M. A. Bradford. "Models for the Flexural Peeling of Angle Plates Adhesively Bonded to R-C Beams." Advances in Structural Engineering 1, no. 4 (October 1998): 287–300. http://dx.doi.org/10.1177/136943329800100405.

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The strength and stiffness of existing reinforced concrete beams may be enhanced by adhesively bonding angle section members to the soffit/side edges of reinforced concrete (RC) beams. This retrofitting is extremely important in improving the seismic performance of under reinforced RC beams which may suffer ductility problems in earthquakes, or whose strength has deteriorated due to unfavourable environmental factors. This paper develops generic mathematical models for simulating the debonding of angle plates glued to the edges of RC beams as a result of flexural peeling. It is shown that to achieve an accurate model the derivations are quite complex, but the experimental calibration renders the presentation of the model in a simple format. The models have been validated with experimental results.
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Huang, Dongzhou, and Mohsen Shahawy. "Analysis of Tensile Stresses in Transfer Zone of Prestressed Concrete U-Beams." Transportation Research Record: Journal of the Transportation Research Board 1928, no. 1 (January 2005): 134–41. http://dx.doi.org/10.1177/0361198105192800115.

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Prestressed U-beam bridges compare favorably in cost and appearance to traditional concrete I-beam bridges. Consequently, U-beam bridges are gaining in popularity and usage, especially when aesthetic issues are deemed important. U-beam bridges first appeared in Florida in 2000; however, during construction, cracks developed in the webs of the U-beams. This paper presents results of an analysis of representative cracking of U-beams and proposes a practical method for the transfer zone stirrup design. For the purpose of the analysis, the U-beam is divided into a series of finite shell-plate elements, and the prestressing tendons are simulated as a number of concentrated forces. Two different mechanical models of the U-beams are developed on the basis of the stages of construction. Analytical results show that high tensile stresses occur in the end zone of the U-beam because of the prestressing tendons and that these tensile stress must be properly considered in bridge design. The research results are applicable to the design of prestressed U-beams and similar types of prestressed girders.
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Marian, Stănescu Răzvan. "Steel and Concrete Elasto-Plastic Models at Bridges with Steel Beams Embedded in Concrete." Romanian Journal of Transport Infrastructure 7, no. 1 (July 1, 2018): 64–76. http://dx.doi.org/10.2478/rjti-2018-0004.

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Abstract For new railway bridges with short spans (L ≤ 35.00 m) superstructures with steel beams embedded in concrete are recommended or used, which can ensure the requirements of strength and stiffness in particular, regardless of velocity. They are built relatively easily compared to reinforced concrete structures or steel structures, they have high durability if designed, built and maintained correctly and don’t have high sensitivity to fatigue degradation in service. They are also used for road bridges when it is desired to achieve a reduced construction height. In all the design prescriptions used so far for structures with steel beams embedded in concrete, the calculation is a simplified one, made on a single insulated longitudinal beam of the deck, if certain conditions related to the geometry of the structure are met (obliquity, curvature). Simplifications are also made regarding the state of deformation of the decks made in this constructive solution by introducing an effective moment of inertia in the displacement calculation, as an average of the inertia moments of the cross section considered to be cracked and respectively un-cracked. The article aims to validate steel and concrete elasto-plastic models, based on an experiment from the technical literature, necessary for complex analyses of the percentage of concrete involved in the stiffness of the cross-sections, in case of bridges with steel beams embedded in concrete.
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Sundar, N., PN Raghunath, and G. Dhinakaran. "Flower pollination-based optimal design of reinforced concrete beams with externally bonded of FRPS." Advanced Composites Letters 29 (January 1, 2020): 2633366X2096249. http://dx.doi.org/10.1177/2633366x20962499.

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The optimal design of reinforced concrete beams (RCBs) and structures with an objective of improving the chosen performances is an important problem in the field of construction works. Recently, the concrete beams, structures, and walls are strengthened externally by bonding fiber-reinforced polymer strips (FRPS). Usually, FRPS are employed in rehabilitation of existing beams, bridges, and other structural elements. This article modifies the problem of designing new RCBs with appropriate selection of FRPS with a goal of exploiting the benefits of FRPS such as higher tensile strength, better corrosion resistance, higher stiffness-to-weight ratio, and longer life. It, firstly, proposes an artificial neural network-based mathematical model for assessing the performances of RCBs bonded with FRPS from the data obtained from 69 FRPS-glued RCBs and then develops an optimal design procedure employing flower pollination-based optimization, which is imitated from the pollination process of plants, for obtaining design parameters of FRPS-glued RCBs with a view of enhancing both the ultimate load and the deflection ductility. It presents optimal design parameters of five FRPS-glued RCBs and experimentally validates the performances.
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Utkin, Vladimir S., and Sergey A. Solovyev. "RELIABILITY ANALYSIS OF EXISTING REINFORCED CONCRETE BEAMS ON NORMAL CRACK LENGTH CRITERION." International Journal for Computational Civil and Structural Engineering 13, no. 2 (June 30, 2017): 56–63. http://dx.doi.org/10.22337/2587-9618-2017-13-2-56-63.

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The article discusses a problem of the crack length influence on the reliability (safety) of reinforced concrete beams under conditions of limited statistical information about controlled parameters in the design mathematical models of limit state. Numerical examples revealed the possibility of practical application of the reliability analysis methods for inspections and determining the category of the technical condition of buildings and structures. The article offers the methods for reliability (probability of non-failure) analysis and the residual resource of reinforced concrete beams according to the criterion of the normal crack length in the tensile zone of reinforced concrete beams. The methods of reliability analysis constructed on the basis of possibility theory and fuzzy set theory. The algorithms of reliability analysis of reinforced concrete beams are presented on numerical examples of reliability analysis.
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Kvocak, Vincent, Daniel Dubecky, and Viktoria Kozlejova. "Experimental Verification of Design Models in a Static and Dynamic Loading Test." Key Engineering Materials 763 (February 2018): 394–99. http://dx.doi.org/10.4028/www.scientific.net/kem.763.394.

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Nowadays more and more often investors and constructors are building constructions by combining two of the most common materials: reinforced concrete and steel. By understanding their behavior we can squeeze a mountain of used material with better results. They make it possible to take advantage of good mechanical properties of concrete in compression and steel in tension. One of the commonest types of composite structures is deck bridges with encased filler beams. These types of construction have been employed in Slovakia and all over Europe without any major change since the beginning of the 19th century. Several steel sections of modified shapes and dimensions were designed and tested in the Laboratories of the Institute of Structural Engineering at the Technical University in Košice. The main goal was to design and experiment with deck bridges made of various sections so as to maximise their cost-effectiveness by reducing the amount of steel consumed. Based on theoretical analyses, specimens were prepared in the laboratory, consisting of a variety of fully encased steel sections. It was cast into the prepared steel formwork placed on a fixed bearing plate so as to prevent deflection of composite beams during the concreting process.
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Dissertations / Theses on the topic "Concrete beams – Design and construction – Mathematical models"

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Lam, Wai-yin, and 林慧賢. "Plate-reinforced composite coupling beams: experimental and numerical studies." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B37311797.

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Hon, Alan 1976. "Compressive membrane action in reinforced concrete beam-and-slab bridge decks." Monash University, Dept. of Civil Engineering, 2003. http://arrow.monash.edu.au/hdl/1959.1/5629.

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Thölken, Denise. "Efeito da rigidez de pilar parede no comportamento sísmico de edifício de concreto armado." Universidade Tecnológica Federal do Paraná, 2013. http://repositorio.utfpr.edu.br/jspui/handle/1/962.

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Este trabalho tem como objeto o estudo do efeito da rigidez de pilar parede no comportamento estrutural de edifícios de concreto armado submetidos a sismos. Foram consideradas as premissas da norma brasileira ABNT NBR15421:2006, que apresenta os critérios para projeto de estruturas resistentes a sismo. A análise linear com emprego dos métodos da norma - método das forças horizontais equivalentes, método espectral e histórico de aceleração no tempo - foi aplicada em edifícios com dois tipos de sistemas estruturais, sendo eles pórtico de concreto e sistema dual pórtico de concreto e pilar parede. Os resultados foram analisados nos pórticos de extremidade das estruturas nos sentidos longitudinal (x) e transversal (y), comparando-se os deslocamentos de cada pavimento e esforços cortantes, momento fletor e normal nas bases dos pilares. A comparação foi realizada entre os três métodos aplicados e os sistemas estruturais analisados.
The aim of this work is to study the stiffness effect of wall columns on structural behavior of reinforced concrete buildings subjected to seismic action. The premises of the Brazilian standard ABNT NBR14521:2006 were considered, which presents criteria for earthquake resistant design of structures. The linear analysis employed the methods of the Brazilian standard - equivalent static load method, response spectrum analysis and time history method - were applied to buildings with two types of structural systems, namely concrete frame and dual system concrete frame and wall columns. The results were analyzed in edge frames structures in the longitudinal and transverse directions, comparing the displacement of each floor and shear, bending moment and axial forces on the bases of the columns. A comparison was made between the three methods applied and the structural systems analyzed.
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Seracino, R. (Rudolf). "Partial-interaction behaviour of composite steel-concrete bridge beams subjected to fatigue loading / by Rudolf Seracino." 1999. http://hdl.handle.net/2440/19519.

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Bibliography: leaves 140-144.
xix, 156 leaves : ill. ; 30 cm.
Title page, contents and abstract only. The complete thesis in print form is available from the University Library.
Determines the effect of partial-interaction and interfacial friction on the fatigue behaviour of composite bridge beams and develops a set of design rules for the assessment of the residual strength and performance of composite bridge beams.
Thesis (Ph.D.)--University of Adelaide, Dept. of Civil and Environmental Engineering, 1999
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Mursi, Mohanad Civil &amp Environmental Engineering Faculty of Engineering UNSW. "The behaviour and design of thin walled concrete filled steel box columns." 2007. http://handle.unsw.edu.au/1959.4/40494.

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This thesis investigates the behaviour of hollow and concrete filled steel columns fabricated from thin steel plates. The columns are investigated under axial, uniaxial and biaxial loading. The currently available international standards for composite structures are limited to the design of concrete filled steel columns with compact sections and yield stress of steel up to 460 N/mm2. This thesis consists of both experimental and analytical studies and design recommendations for future use. Three comprehensive series of experimental tests are conducted on hollow and concrete filled steel columns. The principal parameters that have been considered in the test programmes are the slenderness of the component plates, the yield stress of the steel and the loading conditions. In the first test series, three slender hollow steel columns and three slender composite columns are tested under uniaxial loading. The steel utilised is mild steel. High strength steel is utilised in the second test programme. In this test series four stub columns, eight short columns and eight slender columns are tested, each set consists of four hollow and four composite columns. Short columns are tested under axial loading to investigate the confinement effect provided by the steel casing. Slender columns are tested under uniaxial loading to investigate the coupled instability of local and global buckling. The third test programme is quite novel and considers the behaviour of hollow and concrete filled steel columns fabricated with high strength structural steel plate and subjected to biaxial bending. In this test eight short columns and ten slender columns each of them consisting of hollow and composite columns are investigated under biaxial loading. Analytical models are developed herein to elucidate the behaviour of the hollow and composite columns considering cross section slenderness, yield stress and loading conditions. An iterative model considering the coupled global and local buckling in the elastic and plastic range incorporating material nonlinearities is developed to investigate the behaviour of slender columns fabricated from mild steel. An improved deformation control model is developed to investigate the behaviour of slender high strength steel columns considering the confinement effect and local and post-local buckling in the elastic and plastic range. Then a numerical model for biaxial bending is developed to study the behaviour of short and slender concrete filled high strength steel columns under biaxial loading incorporating interaction buckling considering material and geometric nonlinearities. The scope of the thesis presents a wide range of experimental and theoretical studies of an extremely novel nature. It demonstrates the benefit of confinement and the consideration of local and post-local buckling in the elastic and plastic range. It is hoped that this research will contribute to the area of composite steel-concrete structural applications.
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Books on the topic "Concrete beams – Design and construction – Mathematical models"

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Grasty, R. L. The design, construction, and application of concrete models for calibrating borehole gamma-ray spectrometers. Ottawa, Canada: Geological Survey of Canada, 1993.

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Pettinga, J. Didier. Dynamic behaviour of reinforced concrete frames designed with direct displacement- based design. Pavia: Rose school, 2005.

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USSD Committee on Earthquakes. Numerical models for seismic evaluation of concrete dams: Review, evaluation and interpretation of results. Denver, CO: U.S. Society on Dams, 2008.

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Bangash, M. Y. H. Staircases: Structural analysis and design. Rotterdam: A.A. Balkema, 1999.

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Fédération internationale du béton. Task Group 4.4. Practitioners' guide to finite element modelling of reinforced concrete structures: State-of-art report. Lausanne, Switzerland: International Federation for Structural Concrete, 2008.

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Benchmark, Workshop on Numerical Analysis of Dams (5th 1999 Denver Colo ). Proceedings: Fifth Benchmark Workshop on Numerical Analysis of Dams. Denver, Colo: U.S. Committee on Large Dams, 2000.

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EURO-C Conference 2003 (2003 Sankt Johann im Pongau, Austria (Politischer Bezirk)). Computational modelling of concrete structures: Proceedings of the EURO-C Conference 2003, St. Johann im Pongau, Austria, 17-20 March 2003. Lisse: A.A. Balkema, 2003.

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Martinez, D. Fred. Development of an analytical model to predict volumetric properties. Helena]: Montana Dept. of Transportation, 1997.

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ZnO bao mo zhi bei ji qi guang, dian xing neng yan jiu. Shanghai Shi: Shanghai da xue chu ban she, 2010.

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Center, Turner-Fairbank Highway Research, ed. FHWA Workshop on Mathematical Modeling of Rigid Pavements: Conference proceedings. McLean, Va. (6300 Georgetown Pike, McLean 22101-2296): U.S. Dept. of Transportation, Federal Highway Administration, Research and Development, Turner-Fairbank Highway Research Center, 1995.

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Conference papers on the topic "Concrete beams – Design and construction – Mathematical models"

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Forrest, James A. "Floating Slab Railway Track for Isolation of Vibration: Models of Infinite Length." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4085.

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Abstract Vibration transmitted from underground railways into nearby buildings is an increasingly significant problem affecting high-value residential and commercial developments. Various forms of vibration isolation are used in underground railways, one of which is the ‘floating slab track’. Rails are fixed directly to a massive concrete slab which in turn rests on a resilient mounting (usually rubber bearings or steel springs) so isolating the track from the tunnel invert. The effectiveness of vibration attenuation does not compare well with the simple mass-spring models typically used in the design of floating slab track. This paper develops a model for floating slab track by conceptualising the track as two infinite beams (representing the rail and the concrete slab) separated by elastic layers representing the resilient elements used in floating slab track construction. A dynamic model for a finite-length unit of track is obtained from this physical model by the dynamic-stiffness-matrix method. A repeating unit method is utilised to create track models of infinite length from the finite track unit, an approach which much reduces the computation required. A concept of total force transmitted to the ground for a given set of inputs on the rail is developed, and the effect of various track parameters on the transmitted force is examined.
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Aggelopoulos, Eleftherios, Graham Couchman, and Mark Lawson. "Minimum degree of shear connection in composite beams in buildings." In 12th international conference on ‘Advances in Steel-Concrete Composite Structures’ - ASCCS 2018. Valencia: Universitat Politècnica València, 2018. http://dx.doi.org/10.4995/asccs2018.2018.7127.

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Composite floors are often used in building construction where beams typically span from 6 to 18 m. They are commonly used together with decking of 50 to 80 mm depth that spans 3 to 4.5 m between the beams. Rules for the minimum degree of shear connection in composite beams are presented in Eurocode 4 and other international Codes, and were derived for beams in propped construction.Eurocode 4 defines a minimum limit for the degree of shear connection, primarily to ensure that slip at the steel-concrete interface does not exceed a limiting value. This limit is proportionate to the beam span and also depends on the steel strength and the asymmetry of the flange areas of the section. Currently, many designs cannot achieve the codified degree of shear connection demands, since it is not possible to accommodate a sufficient number of shear connectors on the span as dictated by the spacing of the deck ribs. However, there are special cases which are not explicitly accounted for in Codes. This paper aims to investigate the degree of shear connection requirements in such cases, including beams that are unpropped in construction, beams that are not fully utilised in bending because serviceability criteria govern their design and beams that are predominantly loaded by point loads rather than uniform loading.The results from parametric finite element analyses carried out using ANSYS for beams in the span range of 6 to 18 m are presented. The finite element models have been calibrated against composite beam tests. Comparisons are made with the current Eurocode 4 provisions and modifications are proposed where appropriate.
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Tortoriello, Miguel A., Luis J. Lima, Ana C. Cobas, and Renso A. Cichero. "Timber bodies strength of materials: Fundamental principles, test specimens proposal." In IABSE Congress, Christchurch 2021: Resilient technologies for sustainable infrastructure. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2021. http://dx.doi.org/10.2749/christchurch.2021.1112.

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<p>To reduce the economic cost of a Timber Structure, the first condition is to have a “rational” Structural Code, that is, a Code supported by research and a specific theory. To establish a rational Structural Timber Code, a specific theoretical support is needed. The objective of this paper is to cooperate in the construction of this theoretical support. To design timber structures, it is necessary to have mathematical models able to reproduce the resistance of timber bodies under different solicitations. In this paper, a “road map” to arrive to a specific Strength of Materials of Timber Bodies is proposed. This theory will be the tool needed to develop the mathematical models whose quantification will be obtained by testing “basic test specimens” obtained from timber of any particular timber building (like in concrete or soil mechanics). Finally, a “basic test specimen” for practical application of the theory is proposed. In this case, the experimental support is referred to “willow” wood.</p>
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Palomares Figueres, Maite, and Ana Portalés Mañanós. "Viviendas en hormigón prefabricado. La experiencia de GO.DB. en Campanar, Valencia. España. *** Dwellings in prefabricated concrete. The GO.DB. Experience in campanar." In 8º Congreso Internacional de Arquitectura Blanca - CIAB 8. Valencia: Universitat Politècnica València, 2018. http://dx.doi.org/10.4995/ciab8.2018.7437.

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La comunicación presenta el único ejemplo de prefabricación residencial realizada en Valencia en la década de los sesenta, un bloque de ocho viviendas situado en el barrio de Campanar. Para su ejecución se empleó un diseño modular que implicaba, entre otros, el montaje de una planta de fabricación a pie de obra. En el proyecto realizado por los arquitectos GO.DB. se aplicó el concepto de “Viga hueca habitable”, materializada empleando los “Elementos Modulares” del sistema de prefabricación pesada “Modul-Arch”, basado en paneles de hormigón armado. Con este método se pretendía reunir estructura y cerramiento, aunque no fue posible. El paso de la idea a la ejecución final se llevó a cabo con las patentes de varios modelos de utilidad e industriales, necesarios para la realización de las viviendas. La influencia de Miguel Fisac subyace en los estudios de García-Ordoñez sobre el “vacío habitable”. Así también, los sistemas constructivos de los puentes de dovelas prefabricadas de hormigón serán una referencia para la construcción del conjunto de Campanar.***The communication presents the only example of resi- dential prefabrication carried out in Valencia in the 1960s, a block of eight houses located in the Campanar district. For its execution, a modular design was used which involved, among others, the as- sembly of a manufacturing plant on site. In the project carried out by the architects GO.DB. the concept of “Habitable hollow beam” was applied and its materialization using the “Modular Elements” of the heavy prefabrication system “Modul-Arch”, based on reinfor- ced concrete panels. With this method, the intention was to reunite structure and enclosure, although it was not possible. The steps taken from the idea to nal execution was carried out with the pa- tents of several utility and industrial models, necessary for building the houses. In uence of Miguel Fisac underlies García-Ordoñez’s studies on the “habitable beams”. Also, the constructive systems of prefabricated concrete bridge segments will be a reference for the construction of the Campanar complex.
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