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Estudo da largura efetiva de vigas mistas de aço-concreto em carregamento de serviço : método dos elementos finitos versus códigos de projeto / Estudo da Largura Efetiva de Vigas Mistas de Aço-Concreto em Carregamento de Serviço: Método dos Elementos Finitos versus Códigos de ProjetoReginato, Lucas Henrique January 2017 (has links)
Com a crescente utilização de vigas mistas de aço e concreto em obras civis e devido à insuficiência de estudos relativos ao seu comportamento estrutural, investigações aprofundadas são necessárias para suprir as carências e aperfeiçoar o tema. Um fenômeno familiar na literatura de estruturas mistas é a distribuição não uniforme de tensões ao longo da largura da laje de concreto, denominado shear lag na literatura inglesa. Na análise e projeto de estruturas compostas, deflexões, tensões e resistência são tipicamente obtidas utilizando-se o conceito de largura efetiva, na qual o efeito shear lag é contabilizado indiretamente, substituindo a largura real da laje, por uma largura apropriadamente reduzida. Sem dispor de análises numéricas exatas para o dimensionamento prático, é necessário que códigos normativos forneçam métodos simplificados para a avaliação da largura efetiva minimizando perdas de precisão. Diante disso, no presente trabalho, procedimentos numéricos para a avaliação da largura efetiva, encontrados na literatura técnica, foram estudados e implementados ao modelo matemático em elementos finitos disponível no CEMACOM/PPGEC/UFRGS, capaz de representar com confiabilidade estruturas mistas. Comprovando-se a eficácia do modelo numérico em captar o efeito do shear lag, a resposta de uma viga mista biengastada, representando um vão intermediário de uma ponte contínua, submetida a um carregamento em longo prazo, e considerando-se os fenômenos reológicos do concreto de fluência e retração, além do comportamento não-linear devido a fissuração, é obtida e comparada à fórmulas estipuladas nas principais normas de projeto e em metodologias desenvolvidas por pesquisadores. Falhas potenciais nos códigos de projeto atuais foram evidenciadas, necessitando-se de adicionais estudos paramétricos experimentais e numéricos para a comprovação dos resultados. / With the increasing use of steel-concrete composite beams in bridges and buildings more investigations related to this topic are necessary to fill the needs and improve the subject. A familiar phenomenon in the literature of composite structures is the non-uniform distribution of stresses along the width of the concrete slab, called shear lag. In the analysis and design of composite beams, deflections, stresses, and strengths are typically obtained by utilizing the concept of effective width, in which shear lag effects are accounted for indirectly, by replacing the actual slab width by an appropriately reduced width. Without having exact numerical analysis for design, it is necessary that the design codes provide simplified methods for evaluating this effective width, minimizing losses of accuracy. In this work, numerical procedures for the evaluation of effective width, found in the specialized literature, were studied and implemented in the mathematical finite element model available in CEMACOM/PPGEC/UFRGS. This computational code is capable of representing the behavior of steel-concrete composite beams and is capable of capturing the shear lag effect. The response of a single span composite beam with fixed ends, representing an intermediate span of a continuous girder bridge, subject to long-term loading, and considering both rheological phenomena of concrete, such as creep and shrinkage, besides the non-linear behavior due to cracking, is obtained and compared to the stipulated formulas in the main code provisions and in the developed methodologies by some researchers. Potential failures in the current design codes were evidenced, requiring additional experimental and numerical parametric studies to prove the results.
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Estudo da largura efetiva de vigas mistas de aço-concreto em carregamento de serviço : método dos elementos finitos versus códigos de projeto / Estudo da Largura Efetiva de Vigas Mistas de Aço-Concreto em Carregamento de Serviço: Método dos Elementos Finitos versus Códigos de ProjetoReginato, Lucas Henrique January 2017 (has links)
Com a crescente utilização de vigas mistas de aço e concreto em obras civis e devido à insuficiência de estudos relativos ao seu comportamento estrutural, investigações aprofundadas são necessárias para suprir as carências e aperfeiçoar o tema. Um fenômeno familiar na literatura de estruturas mistas é a distribuição não uniforme de tensões ao longo da largura da laje de concreto, denominado shear lag na literatura inglesa. Na análise e projeto de estruturas compostas, deflexões, tensões e resistência são tipicamente obtidas utilizando-se o conceito de largura efetiva, na qual o efeito shear lag é contabilizado indiretamente, substituindo a largura real da laje, por uma largura apropriadamente reduzida. Sem dispor de análises numéricas exatas para o dimensionamento prático, é necessário que códigos normativos forneçam métodos simplificados para a avaliação da largura efetiva minimizando perdas de precisão. Diante disso, no presente trabalho, procedimentos numéricos para a avaliação da largura efetiva, encontrados na literatura técnica, foram estudados e implementados ao modelo matemático em elementos finitos disponível no CEMACOM/PPGEC/UFRGS, capaz de representar com confiabilidade estruturas mistas. Comprovando-se a eficácia do modelo numérico em captar o efeito do shear lag, a resposta de uma viga mista biengastada, representando um vão intermediário de uma ponte contínua, submetida a um carregamento em longo prazo, e considerando-se os fenômenos reológicos do concreto de fluência e retração, além do comportamento não-linear devido a fissuração, é obtida e comparada à fórmulas estipuladas nas principais normas de projeto e em metodologias desenvolvidas por pesquisadores. Falhas potenciais nos códigos de projeto atuais foram evidenciadas, necessitando-se de adicionais estudos paramétricos experimentais e numéricos para a comprovação dos resultados. / With the increasing use of steel-concrete composite beams in bridges and buildings more investigations related to this topic are necessary to fill the needs and improve the subject. A familiar phenomenon in the literature of composite structures is the non-uniform distribution of stresses along the width of the concrete slab, called shear lag. In the analysis and design of composite beams, deflections, stresses, and strengths are typically obtained by utilizing the concept of effective width, in which shear lag effects are accounted for indirectly, by replacing the actual slab width by an appropriately reduced width. Without having exact numerical analysis for design, it is necessary that the design codes provide simplified methods for evaluating this effective width, minimizing losses of accuracy. In this work, numerical procedures for the evaluation of effective width, found in the specialized literature, were studied and implemented in the mathematical finite element model available in CEMACOM/PPGEC/UFRGS. This computational code is capable of representing the behavior of steel-concrete composite beams and is capable of capturing the shear lag effect. The response of a single span composite beam with fixed ends, representing an intermediate span of a continuous girder bridge, subject to long-term loading, and considering both rheological phenomena of concrete, such as creep and shrinkage, besides the non-linear behavior due to cracking, is obtained and compared to the stipulated formulas in the main code provisions and in the developed methodologies by some researchers. Potential failures in the current design codes were evidenced, requiring additional experimental and numerical parametric studies to prove the results.
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Estudo da largura efetiva de vigas mistas de aço-concreto em carregamento de serviço : método dos elementos finitos versus códigos de projeto / Estudo da Largura Efetiva de Vigas Mistas de Aço-Concreto em Carregamento de Serviço: Método dos Elementos Finitos versus Códigos de ProjetoReginato, Lucas Henrique January 2017 (has links)
Com a crescente utilização de vigas mistas de aço e concreto em obras civis e devido à insuficiência de estudos relativos ao seu comportamento estrutural, investigações aprofundadas são necessárias para suprir as carências e aperfeiçoar o tema. Um fenômeno familiar na literatura de estruturas mistas é a distribuição não uniforme de tensões ao longo da largura da laje de concreto, denominado shear lag na literatura inglesa. Na análise e projeto de estruturas compostas, deflexões, tensões e resistência são tipicamente obtidas utilizando-se o conceito de largura efetiva, na qual o efeito shear lag é contabilizado indiretamente, substituindo a largura real da laje, por uma largura apropriadamente reduzida. Sem dispor de análises numéricas exatas para o dimensionamento prático, é necessário que códigos normativos forneçam métodos simplificados para a avaliação da largura efetiva minimizando perdas de precisão. Diante disso, no presente trabalho, procedimentos numéricos para a avaliação da largura efetiva, encontrados na literatura técnica, foram estudados e implementados ao modelo matemático em elementos finitos disponível no CEMACOM/PPGEC/UFRGS, capaz de representar com confiabilidade estruturas mistas. Comprovando-se a eficácia do modelo numérico em captar o efeito do shear lag, a resposta de uma viga mista biengastada, representando um vão intermediário de uma ponte contínua, submetida a um carregamento em longo prazo, e considerando-se os fenômenos reológicos do concreto de fluência e retração, além do comportamento não-linear devido a fissuração, é obtida e comparada à fórmulas estipuladas nas principais normas de projeto e em metodologias desenvolvidas por pesquisadores. Falhas potenciais nos códigos de projeto atuais foram evidenciadas, necessitando-se de adicionais estudos paramétricos experimentais e numéricos para a comprovação dos resultados. / With the increasing use of steel-concrete composite beams in bridges and buildings more investigations related to this topic are necessary to fill the needs and improve the subject. A familiar phenomenon in the literature of composite structures is the non-uniform distribution of stresses along the width of the concrete slab, called shear lag. In the analysis and design of composite beams, deflections, stresses, and strengths are typically obtained by utilizing the concept of effective width, in which shear lag effects are accounted for indirectly, by replacing the actual slab width by an appropriately reduced width. Without having exact numerical analysis for design, it is necessary that the design codes provide simplified methods for evaluating this effective width, minimizing losses of accuracy. In this work, numerical procedures for the evaluation of effective width, found in the specialized literature, were studied and implemented in the mathematical finite element model available in CEMACOM/PPGEC/UFRGS. This computational code is capable of representing the behavior of steel-concrete composite beams and is capable of capturing the shear lag effect. The response of a single span composite beam with fixed ends, representing an intermediate span of a continuous girder bridge, subject to long-term loading, and considering both rheological phenomena of concrete, such as creep and shrinkage, besides the non-linear behavior due to cracking, is obtained and compared to the stipulated formulas in the main code provisions and in the developed methodologies by some researchers. Potential failures in the current design codes were evidenced, requiring additional experimental and numerical parametric studies to prove the results.
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Determining the effective width of composite beams with precast hollowcore slabsEl-Lobody, E., Lam, Dennis January 2005 (has links)
This paper evaluates the effective width of composite steel beams with precast hollowcore slabs numerically using the finite element method. A parametric study, carried out on 27 beams with different steel cross sections, hollowcore unit depths and spans, is presented. The effective width of the slab is predicted for both the elastic and plastic ranges. 8-node three-dimensional solid elements are used to model the composite beam components. The material non-linearity of all the components is taken into consideration. The non-linear load-slip characteristics of the headed shear stud connectors are included in the analysis. The moment-deflection behaviour of the composite beams, the ultimate moment capacity and the modes of failure are also presented. Finally, the ultimate moment capacity of the beams evaluated using the present FE analysis was compared with the results calculated using the rigid – plastic method.
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Sandwich Plate System Bridge Deck TestsMartin, James David 11 April 2005 (has links)
Three series of tests were conducted on a sandwich plate bridge deck, which consisted of two steel plates and an elastomer core. The first series of testing was conducted by applying a static load on a full scale sandwich plate bridge deck panel. Local strains and deflections were measured to determine the panel's behavior under two loading conditions. Next, fatigue tests were performed on the longitudinal weld between two sandwich plate panels. Two connections were tested to 10 million cycles, one connection was tested to 5 million cycles, and one connection was tested to 100,000 cycles. The fatigue class of the weld was determined and an S-N curve was created for the longitudinal weld group. Finally, a series of experiments was performed on a half scale continuous bridge deck specimen. The maximum positive and negative flexural bending moments were calculated and the torsional properties were examined.
Finite element models were created for every load case in a given test series to predict local strains and deflections. All finite element analyses were preformed by Intelligent Engineering, Ltd. A comparison of measured values and analytical values was preformed for each test series. Most measured values were within five to ten percent of the predicted values.
Shear lag in the half scale bridge was studied, and an effective width to be used for design purposes was determined. The effective width of the half scale simple span sandwich plate bridge deck was determined to be the physical width.
Finally, supplemental research is recommended and conclusions are drawn. / Master of Science
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Modelling District Heating Network CostsSánchez-García, Luis January 2023 (has links)
The solution of the undergoing climate and energy crises requires a radical transformation of the energy system, in which sustainability, no carbon emissions and energy efficiency ought to play a paramount role. This revolution should extend to all areas of the energy system, including the space heating and cooling sector, which accounts for a third of the European final energy demand and, in the European continent, it is still mostly supplied by fossil fuels. District heating is a simple but powerful technology that can contribute to tackle this challenge. As a network infrastructure, it is characterised by the flexibility of the heat production, allowing the incorporation of a wide range of heat sources over time. Furthermore, it enables the recycling of heat that would otherwise be wasted and the use of local heat sources in a more cost-effective manner. Moreover, its coupling with the electricity sector can facilitate the increase of intermittent electric renewable energy sources. Nevertheless, at the moment, district heating only covers a tenth of the European space heating and cooling needs, albeit with significant differences among countries. In addition, the development of new district heating networks is capital intensive and can only be justified in those areas where the concentration of the heat demand is sufficiently high to deliver a lower cost to society than an individual alternative. Therefore, it is crucial to assess the potential of district heating and to identify the target areas for in-depth investigations. This necessity demands easy and straightforward tools, which can provide a first order approximation of the construction cost of new networks. One of these tools is the capital cost model developed by Persson & Werner, which is based on, among others, the effective width parameter. This is an indicator of the required trench length in an area supplied by district heating and has been related to the building density. This work has contributed to the understanding of the effective width parameter in a wide range of building densities, taking advantage of one of the largest district heating networks in Denmark, and provided new equations that relate it to various indicators of building density. Furthermore, the average pipe diameter of district heating pipes has been linked to another crucial parameter in district heating technology, the linear heat density, extending prior work conducted by Persson and Werner. In addition, Persson and Werner's model and the newly found empirical expressions have been validated in various Danish district heating networks, showing that the model provides relatively accurate results on an aggregate level and large areas but dismally fails in low-extension areas. Finally, the model has been applied to the European Union showing that district heating networks could potentially supply a third of the heat demand in 2050. / Lösningen av de pågående klimat- och energikriserna kräver en radikal omvandling av energisystemet, där hållbarhet, inga koldioxidutsläpp och energieffektivitet bör spela en avgörande roll. Denna revolution bör sträcka sig till alla delar av energisystemet, inklusive sektorn för uppvärmning och kylning av byggnader, som står för en tredjedel av Europas slutliga energibehov och på den europeiska kontinenten fortfarande till största delen försörjs av fossila bränslen. Fjärrvärme är en enkel men kraftfull teknik som kan bidra till denna utmaning. Som nätverksinfrastruktur kännetecknas den av flexibilitet i värmeproduktionen, vilket möjliggör inkorporering av ett brett utbud av värmekällor över tid. Dessutom möjliggör det återvinning av värme som annars skulle gå till spillo och användning av lokala värmekällor på ett mer kostnadseffektivt sätt. Dessutom kan dess koppling till elsektorn underlätta ökningen av intermittenta elektriska förnybara energikällor. Detta till trots täcker fjärrvärme för närvarande bara en tiondel av det europeiska behovet av uppvärmning och kylning av byggnader, om än med betydande skillnader mellan länderna. Utbyggnaden av nya fjärrvärmenät är dessutom kapitalkrävande och kan endast motiveras i de områden där koncentrationen av värmebehovet är tillräckligt hög för att ge en lägre kostnad för samhället än ett individuellt alternativ. Därför är det avgörande att bedöma potentialen för fjärrvärme och att identifiera målområdena för fördjupade utredningar. Denna nödvändighet kräver enkla och okomplicerade verktyg, som kan ge en första ordningens uppskattning av investeringskostnader för nya nätverk. Ett av dessa verktyg är kapitalkostnadsmodellen utvecklad av Persson & Werner, som bygger på bland annat parametern effektiv bredd. Detta är en indikator på den erforderliga dikeslängden i ett område som försörjs av fjärrvärme och har relaterats till byggnadstätheten. Detta arbete har bidragit till förståelsen av effektiv bredd-parametern i ett vitt spektrum av byggnadstätheter, vars studium drar fördel av ett av de största fjärrvärmenäten i Danmark, och har gett nya ekvationer som relaterar den till olika indikatorer på byggnadstäthet. Vidare har den genomsnittliga rördiametern för fjärrvärmerör kopplats till en annan avgörande parameter inom fjärrvärmetekniken, den linjära värmedensiteten, vilket utökar tidigare arbete utfört av Persson och Werner. Dessutom har Persson och Werners modell och de nyfunna empiriska uttrycken validerats i olika danska fjärrvärmenät, vilket visar att modellen ger relativt exakta resultat på aggregerad nivå och stora ytor men mindre så i lågutbyggnadsområden. Slutligen har modellen tillämpats på EU som visar att fjärrvärmenät potentiellt kan tillgodose en tredjedel av värmebehovet år 2050. / Quantification of synergies between Energy Efficiency first principle and renewable energy systems
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Realise the Potential! : Cost Effective and Energy Efficient District Heating in European Urban AreasPersson, Urban January 2011 (has links)
The Member States of EU27 need to accelerate the integration of energy efficient technology solutions to reach the 20% energy efficiency target set for 2020. At current pace, projections indicate that only half of expected primary energy reductions will be reached. To meet the energy demands of growing populations and a vibrant economy, while simultaneously reducing primary energy supplies, the European continent faces a new kind of challenge never previously encountered. The identification and application of feasible, competitive, and comprehensive solutions to this problem are of highest priority if the remaining gap is to be closed in time. How is this multi-dimensional and complex dilemma to be dissolved? In this work, expanded use of district heating technology is conceived as a possible solution to substantially reduce future primary energy demands in Europe. By extended recovery and utilisation of vast volumes of currently disregarded excess heat from energy and industry sector fuel transformation processes, district heating systems and combined generation of heat and power can improve the general efficiency of the European energy balance. To investigate the possible range of this solution, this thesis introduces a set of methodologies, theoretical concepts, and model tools, by which a plausible future excess heat utilisation potential, by means of district heat deliveries to residential and service sectors, is estimated. At current conditions and compared to current levels, this potential correspond to a threefold expansion possibility for directly feasible district heating systems in European urban areas and a fourfold increase of European excess heat utilisation.
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Behaviour and Design of Sandwich Panels Subject to Local Buckling and Flexural Wrinkling EffectsPokharel, Narayan January 2003 (has links)
Sandwich panels comprise a thick, light-weight plastic foam such as polyurethane, polystyrene or mineral wool sandwiched between two relatively thin steel faces. One or both steel faces may be flat, lightly profiled or fully profiled. Until recently sandwich panel construction in Australia has been limited to cold-storage buildings due to the lack of design methods and data. However, in recent times, its use has increased significantly due to their widespread structural applications in building systems. Structural sandwich panels generally used in Australia comprise of polystyrene foam core and thinner (0.42 mm) and high strength (minimum yield stress of 550 MPa and reduced ductility) steel faces bonded together using separate adhesives. Sandwich panels exhibit various types of buckling behaviour depending on the types of faces used. Three types of buckling modes can be observed which are local buckling of plate elements of fully profiled faces, flexural wrinkling of flat and lightly profiled faces and mixed mode buckling of lightly profiled faces due to the interaction of local buckling and flexural wrinkling. To study the structural performance and develop appropriate design rules for sandwich panels, all these buckling failure modes have to be investigated thoroughly. A well established analytical solution exists for the design of flat faced sandwich panels, however, the design solutions for local buckling of fully profiled sandwich panels and mixed mode buckling of lightly profiled sandwich panels are not adequate. Therefore an extensive research program was undertaken to investigate the local buckling behaviour of fully profiled sandwich panels and the mixed mode buckling behaviour of lightly profiled sandwich panels. The first phase of this research was based on a series of laboratory experiments and numerical analyses of 50 foam-supported steel plate elements to study the local buckling behaviour of fully profiled sandwich panels made of thin steel faces and polystyrene foam core covering a wide range of b/t ratios. The current European design standard recommends the use of a modified effective width approach to include the local buckling effects in design. However, the experimental and numerical results revealed that this design method can predict reasonable strength for sandwich panels with low b/t ratios (< 100), but it predicts unconservative strengths for panels with slender plates (high b/t ratios). The use of sandwich panels with high b/t ratios is very common in practical design due to the increasing use of thinner and high strength steel plates. Therefore an improved design rule was developed based on the numerical results that can be used for fully profiled sandwich panels with any practical b/t ratio up to 600. The new improved design rule was validated using six full-scale experiments of profiled sandwich panels and hence can be used to develop safe and economical design solutions. The second phase of this research was based on a series of laboratory experiments and numerical analyses on lightly profiled sandwich panels to study the mixed mode buckling behaviour due to the interaction of local buckling and flexural wrinkling. The current wrinkling formula, which is a simple modification of the methods utilized for flat panels, does not consider the possible interaction between these two buckling modes. As the rib depth and width of flat plates between the ribs increase, flat plate buckling can occur leading to the failure of the entire panel due to the interaction between local buckling and wrinkling modes. Experimental and numerical results from this research confirmed that the current wrinkling formula for lightly profiled sandwich panels based on the elastic half-space method is inadequate in its present form. Hence an improved equation was developed based on validated finite element analysis results to take into account the interaction of the two buckling modes. This new interactive buckling formula can be used to determine the true value of interactive buckling stress for safe and economical design of lightly profiled sandwich panels. This thesis presents the details of experimental investigations and finite element analyses conducted to study the local buckling behaviour of fully profiled sandwich panels and the mixed mode buckling behaviour of lightly profiled sandwich panels. It includes development and validation of suitable numerical and experimental models, and the results. Current design rules are reviewed and new improved design rules are developed based on the results from this research.
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Design of slender steel members : A comparison between the reduced stress method and the effective width methodSkoglund, Oskar, Samvin, Daniel January 2016 (has links)
As of now, the most common way in Sweden, to address the issue of local buckling of steelstructures is through the procedure called the effective width method. A less commonprocedure for dealing with local buckling is the reduced stress method. The benefit of thelatter method is that, when combined with finite element analysis, results in a less tediousdesign process. However, this method is often labelled as a method that results in anoverconservative design. Therefore, the purpose of this report is to compare and evaluate thereduced stress method against the effective width method and nonlinear finite elementmethod. The nonlinear FE-analyses are performed with intention of simulating the realbehaviour of the structure and serve as a reference for the other two methods. The comparisonis conducted through a series of analyses, on different steel members with various loadconfigurations and slenderness in order to include the most common cases in the constructionindustry. This report resulted in recommendations for when the reduced stress method couldbe a relevant design procedure, with emphasis on providing reliable and accurate resultscompared to FE-analyses. Furthermore, the report resulted in proposed further studies, bothregarding the improvement of the reduced stress method and other structural elements thatshould be studied. The result from the report indicates that the reduced stress method can beused when the effect of patch loading is small. Furthermore, it is recommended to obtain thecritical stresses from a linear finite element analysis rather than from hand calculations, as tonot end up with over-conservative results. / I Sverige behandlas problemet med lokal buckling av stålkonstruktioner vanligtvis med hjälpav den effektiva bredd metoden, vilket är en dimensionergsmetod som återfinns i Eurocode.En ytterligare dimensionerings metod för lokal buckling som presenteras i Eurocode är denreducerade spänningsmetoden. Den senare nämnda metoden är fördelaktig då den kombinerasmed linjära finita element analyser, vilket resulterar i en mindre tidskrävandedimensioneringsprocess. Dock är metoden känd för att ofta resultera i överdimensioneradekonstruktioner, vilket bidragit till att mindre antal konstruktörer använder sig av denna metod.Syftet med denna rapport blir därmed att jämföra och utvärdera den reduceradespänningsmetoden gentemot den effektiva bredd metoden och olinjär finita element metoden.De olinjära finita element analyserna genomfördes med syfte att simulera det verkligabeteendet och för att sedan jämföra dessa resultat med de två andra metoderna. Analyser harutförts på flera stålbalkar med olika lastkombinationer och slankhet för att inkludera devanligaste fallen inom byggindustrin. Dessutom har det tagits fram några rekommendationerför användningen av metoderna och dessa är presenterade med avseende på de erhållnaresultaten. Rekommendationer för den reducerade spänningsmetoden har presenterats ochytterligare studier gällande dessa metoder och andra konstruktionselement har föreslagits. Deslutsatser som kunde dras är att den reducerade spänningsmetoden kan användas förkonstruktioner som inte påverkas i allt för stor grad av intryckning. För att ge tillförliterligaresultat så rekommenderas att kritiska spänningar erhålles från linjära finita element analyser.
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Framtagning av spännviddstabell för ribbdäcksbjälklagSamsvik, Jonas, Norén, Adam January 2019 (has links)
Examensarbetets syfte är att finna en beräkningsgång för ribbdäcksbjälklag så att en spännviddstabell kan skapas. Ett ribbdäcksbjälklag består av stående limträbalkar med en liggande KL-träskiva ovan som fungerar som golv. I detta examenarbete är KL-träskivan 2,4 meter bred och vilar på två limträbalkar. Full samverkan mellan de olika materialen råder. Idag finns det några aktörer på marknaden som levererar liknande typer av bjälklag men det finns ingen beräkningsgång preciserad i Eurokod. Förstudien till examensarbetet har visat på att tillvägagångssättet för att lösa den mest problematiska beräkningen har varit densamma för de företagen vi har kollat på. Svårigheten är att beräkna den effektiva bredden för tvärsnittet. Det finns även olika standarder som gäller för hur stor nedböjningen får vara för ett bjälklag. I examensarbetet utförs beräkningar för att uppfylla de krav som gäller i Sverige samt de krav som gäller i Österrike. Detta görs för att dalamissivträ misstänker att kraven på de österrikiska bjälklagen är högre ställda med avseende på svikt, de vill kunna erbjuda ett styvare bjälklag. I tabellen ska dimensioner anges för att respektive krav ska uppfyllas. De österrikiska kraven har visat sig vara hårdare ställda jämfört med de svenska och kommer därför att kräva en balk av större dimension i de lägre lastfallen. I fallen med större laster kommer balkdimensionerna mellan de olika lastfallen inte att skilja sig. Där har det visast sig att branddimensioneringen varit helt dimensionerande. Tabellen ska vara ett hjälpmedel för företaget Dala massivträ att lättare nå ut till beställare. Beräkningsgången har gjorts i Mathcad, där okända parametrar har lösts ut och beräknats fram. Vissa parametrar har varit fasta utifrån Dala massivträs önskemål, så som KL-träskivans tjocklek och ingående komponenters materialegenskaper. När beräkningarna har gjorts har de kontrollerats så att momentkapacitet och tvärkraftskapacitet är tillräcklig i respektive last fall och spännvidd. Nedböjningen har kontrollerats liksom branddimensioneringen. Har bjälklaget inte uppfyllt hållfastighetsdimensionering eller kraven för svenskstandard alternativt österrikiskstandard har en högre dimension valts på limträbalken. Limträbalk har valts utifrån Setra trävarors standardsortiment. Resultatet av beräkningarna har förts in i en spännviddstabell som byggts upp för att enkelt kunna välja balk utifrån tänkt last fall. Beräknings exempel finns redovisat i en bilaga där ett lastfall och en spännvidd redovisas. Resultatet leder till att varje spännvidd och lastfall får två dimensioner, en för att klara svensk standard och en för att klara österrikiskstandard. I diskussionen diskuteras eventuella felkällor, effekten av tätare placering med limträbalkar och orsaken till en differens i jämförelsen mellan Mathcad och Calculatis. Även resultatet i spännviddstabellen diskuteras. / The purpose of the degree project is to find a calculation path for ribbed deck joists so that a span width table can be created. A ribbed deck joists consists of standing glulam beams with a lying cross laminated timber slab above which functions as a floor. In this thesis, the cross laminated timber board is 2.4 meters wide and rests on two glulam beams. Full cooperation between the different materials prevails. Today, there are some players in the market that deliver these types of floor but there is no calculation rate specified in Eurocode. The preliminary study for the degree project has shown that the approach to solving the most problematic calculation has been the same for the companies we have looked at. The difficulty is to calculate the effective width of the cross section. There are also different standards that apply to how large the deflection may be for a beam. In the thesis work, calculations are performed to meet the requirements that apply in Sweden and the requirements that apply in Austria. Dimensions must be specified in the table for fulfilling the respective requirements. The Austrian requirements have proved to be harder compared to the Swedish ones and will therefore require a beam of greater dimension in the lower load cases. In case with the larger loads, the beam dimensions between the different loads will not differ because it has been shown that the fire has been dimensional. The table should be a tool for the company Dala massivträ to reach the customer more easily. The calculation path has been made in Mathcad, where unknown parameters has been solved and calculated. Some parameters have been fixed based on Dala massivträ´s wishes, such as the thickness of the cross laminated timber board and the material properties of the component parts. Once the calculations have been made, they have been checked so that torque capacity and transverse power capacity are sufficient in the respective load cases and span. The deflection has been checked as well as the fire dimensioning. The flooring has not fulfilled the dimensioning or the requirements for Swedish standard alt. Austrian standard has a higher dimension selected on the glulam beam. Glulam beam has been selected based on Setra's wood products standard range. The result of the calculations has been entered into a span table which has been built up in order to be able to easily select the beam from outside the intended load case. The calculation example is presented in an annex where a load case and a span are reported. The result is that each span and load fall get two dimensions, one to meet the Swedish standard and one to cope with the Austrian standard. In the discussion, is discussed possible sources of error, the effect of denser placement with glulam beams and the cause of a difference in the comparison between Mathcad and Calculatis. The result in the span table is also discussed.
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