It is the author's belief that middle school mathematics is greatly taught in isolation with little or no mention of its origin. Teaching mathematics from a historical perspective will lead to greater understanding, student inspiration, motivation, excitement, varying levels of learning, and appreciation for this subject. This thesis will develop four units that will incorporate original source documents and selected historical topics surrounding computation, numbers, and early calculating devices. Many of the units will center on the Rhind Papyrus and The Treviso Arithmetic. These units will be appropriate to middle school, with an emphasis on 6th grade.

Shallow embedded column connections are widely used for columns resisting gravity loads in current design methods. These connections are usually considered “pinned” for structural analysis. In reality these connections fall in between a fixed and a pinned condition. Although methods exist to estimate the stiffness and strength of exposed columns or embedded columns under lateral loads, little research has been done to determine the strength of shallow embedded columns. An experimental study was carried out to investigate the strength of these connections. A total of 12 specimens with varying orientation, embedment depth, and column size were loaded laterally until failure or significant loss in strength. The results showed that shallow embedded connections are 86%-144% stronger in yielding and 32%-64% stronger in ultimate strength than current design methods would predict. This strength comes from a combination of the embedment depth and the resistance from the base plate and anchor rods. A model is proposed to explain the strength of the specimens and to conservatively estimate the strength of specimens with different variables. The specimens also exhibited stiffness ranging from 50%-75% of what would be expected from fully embedded columns.

<p dir="ltr">The United States government and Environmental Protection Agency have mandated that vehicles must meet 54.5 miles per gallon(<i>07/29/2011: President Obama Announces Historic 54.5 Mpg Fuel Efficiency Standard/Consumers Will Save $1.7 Trillion at the Pump, $8K per Vehicle by 2025</i>, n.d.). Faced with increased governmental regulations, manufacturers must find new ways to improve their internal combustion engines. Examining the various components of internal combustion engines, there is potential to optimize individual components for mass reduction and thus improving vehicle performance. Engine Components, specifically connecting rods, are essential to the operation of an engine. While connecting rod designs are highly refined, breakthroughs in additive manufacturing technology have given way to novel approaches in the optimization process. Autodesk Inc. has provided an innovative, generative design space to reduce design time and explore complex optimization. The generative design process provides engineers with unique designs while considering many parameters including material, load cases, and manufacturing processes. The study applied generative design structural load casing to a connecting rod of a single cylinder Ryobi engine to optimize for metal additive manufacturing. The generated outcomes were subjected to finite element analysis to determine their feasibility against a traditional drop forged or die cast design. The results compared three generated geometries against three common additive manufacturing materials in ANSYS Mechanical. The generated geometries were tested for equivalent (Von Mises) stress, equivalent strain, and total deformation. The study, using preliminary forces in a static situation, found that mass reductions of up to 19% were achievable while maintaining performance capabilities of the original design.</p>

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This submission is officially titled as a project. The author has also produced a second project relating to the same topic, titled "Part B: Power Transient in a CANDU Reactor" / This report consists of two separate studies. The first part deals with the calculation of the tube thickness of the Bruce B adjuster rods. The incremental cross-section for four tube thicknesses were obtained using the SUPERCELL Method. The tube thicknesses were then calculated so that the flux distributions at steady state full power and the corresponding total reactivity worth of the adjuster rods were in agreement with the reference design valves. The second part deals with the modifications made to the three-dimensionalSORGHUM code to permit calculations of steady-state flux distributions in asubcritical assembly in the presence of a constant non-fission meutron source. / Thesis / Master of Engineering (ME)

The main focus of this present work is to study how mechanical steady state traveling waves can be generated and propagated through one dimensional media by applying forces. By steady state traveling waves we refer to propagating mechanical waves in a finite medium that never exhibit reflections at the boundaries and continuously move from one end of the structure to the other. Mechanical waves can be classified as traveling, standing and hybrid waves that are the results of the interplay of excitation forces, applied force locations, and the boundary conditions of the structure. Traveling waves carry energy through a defined medium while standing waves keep energy at certain areas that are associated with the modes of excitation. To understand the interaction of systems that exhibit traveling waves with their surrounding media (i.e., swimming flagella, manta ray locomotion), it is crucial to first understand the wave propagation and what is desired in these structural systems. The parameters that affect the generation and propagation of waves should be welldefined to control and manipulate the desired system’s response. One-dimensional string and rod equations are studied with various boundary conditions to generate steady-state traveling waves in a string and longitudinal traveling waves in a rod. Two excitation forces are applied to a string and a rod near the boundaries to understand the generation and propagation of traveling and standing waves at various frequencies. The work examines the quality of the wave propagation in a string, and in a rod. A cost function approach is applied to identify the quality of such waves. Furthermore, steady-state square traveling waves are generated in a string and in-plane in a rod, both theoretically and experimentally. To the authors’ knowledge this is the first time this has been attempted in the literature. Determining the quality of traveling waves and understanding the parameters on the wave propagation of a string and rod can lead to further understand and leverage various engineering disciplines such as mechanical actuation mechanisms, propulsion of flagella, and the basilar membrane in the ear’s cochlea. / Master of Science / This work presents how mechanical steady state traveling waves can be generated and propagated through structures by applying forces. By steady state traveling waves we refer to propagation of mechanical waves in a finite medium that never exhibits reflections at the boundaries and continuously moves from one end of the structure to the other. Mechanical waves can be classified as traveling, standing and hybrid waves that are the results of applied forces, their locations, and the boundary conditions of the structure. Traveling waves carry energy through a defined medium while standing waves keep energy at certain areas. To understand the interaction of systems that exhibit traveling waves with their surrounding media, it is crucial to first understand the wave propagation and what is desired in these structural systems. The parameters that affect the generation and propagation of waves should be well-defined to control and manipulate the desired system’s behavior. In this study, two excitation forces are applied to a string and a rod near the boundaries to understand the generation and propagation of traveling and standing waves at various frequencies. The work examines the quality of the wave propagation in a string, and in a rod. Steady-state square traveling waves are generated in a string and in-plane in a rod, both theoretically and experimentally. To the authors’ knowledge this is the first time this has been attempted in the literature. Determining the quality of traveling waves and understanding the parameters on the wave propagation of a string and rod can lead to further understand and leverage various engineering disciplines such as mechanical actuation mechanisms, propulsion of flagella, and the basilar membrane in the ear’s cochlea.

Gegenstand der vorliegenden Arbeit ist die templatgestützte Erzeugung metallischer Stäbchen und Ringstrukturen im Mikrometer- und Nanometerbereich. Derartige Strukturen besitzen vor allem aufgrund ihres außergewöhnlichen Verhaltes gegenüber elektromagnetischen Wellen ein hohes Potential für optische, elektronische, magnetische oder sensorische Anwendungen. Zunächst wird das Vorgehen zur Herstellung mesoskopischer Ringe durch die Infiltration von Kolloidkristallen aus Siliziumdioxid mittels geeigneter Präkursorlösungen detailliert betrachtet. Daraufhin werden Ansätze zur Optimierung einzelner Teilschritte vorgestellt. Im Anschluss erfolgt die Übertragung des Verfahrens auf die Herstellung von Goldringen. Neben der elektronenmikroskopischen Charakterisierung der Proben wird unter anderem durch energiedispersive Röntgenspektroskopie (EDXS), Elektronenrückstreubeugung (EBSD) und Röntgenphotoelektronenspektroskopie (XPS) bestätigt, dass die entstandenen Strukturen aus metallischem Gold bestehen. Ein weiterer Inhalt dieser Arbeit ist die Konzeption und Umsetzung einer Apparatur zur elektrochemischen Erzeugung von mesoskopischen Metallstäbchen im Inneren von porösen Aluminiumoxidmembranen. Im Anschluss wird die Herstellung von Silber- und Goldstäbchen beschrieben. Außerdem wird aufgeführt, wie die sequenzielle Abscheidung der beiden Metalle unter anschließender Auflösung des metallischen Silbers zur Erhöhung der Ausbeute an isolierten Goldstäbchen führt.

La technique des goujons collés dans les structures bois allie performances mécaniques et esthétisme. Elle répond au besoin de conservation du bâti pour le domaine de la rénovation et au besoin d’assemblages de plus en plus rigides et résistants en construction neuve avec l’avènement des structures bois de grandes ampleurs et l’arrivée de nouveaux produits tels que le bois lamellé croisé (CLT). De nombreuses études de caractérisation mécanique ont été menées au cours de ces 35 dernières années. L’enquête menée auprès des professionnels et experts en vue de l’introduction de cette technique dans l’Eurocode 5 a néanmoins révélé des attentes et lacunes particulières vis-à-vis des connaissances sur le comportement des assemblages multi-tiges, le choix des adhésifs, le comportement à long terme du collage et les techniques de contrôle qualité. Les travaux de cette thèse, menés en collaboration entre l’université de Bordeaux et l’Université Laval (Québec, Canada), ont pour objectif d’apporter des réponses sur le comportement mécanique des adhésifs, et assemblages sous sollicitation thermique et d’initier les développements sur le comportement à long terme et les assemblages multi-tiges. Les principaux résultats sont issus de travaux expérimentaux et numériques valorisés sous la forme d’articles scientifiques. Les essais mécaniques dynamiques menés sur une colle polyuréthane (PUR) et une résine époxy (EPX) entre 30°C et 120°C mettent en avant des différences importantes de raideur et de dégradations entre les deux adhésifs. Exposés à la chaleur, les assemblages sont eux aussi affectés avec des pertes de raideur et de résistance dès 40°C, en amont de la température de transition vitreuse et de la dégradation des adhésifs. Amené à suivre le régime de température extérieur, l’assemblage doit par sa conception être isolé afin de prévenir les risques aux états limites de service (ELS) et aux états limites ultimes (ELU). Très peu de données sont disponibles dans la littérature sur le comportement à long terme des assemblages goujons collés. L’étude du fluage ajoute une dimension temporelle aux problématiques de raideur. La base de données expérimentales collectée dans ces travaux repose sur 12 campagnes d’essais de 1 à 2 mois en conditions climatiques régulées en température et humidité relative, ou variables (service classe 1). Chargement et climat influent sur le glissement, mais aussi sur la durée de vie. Si des disparités sont présentes entre EPX et PUR, les études menées à 20°C et 50°C révèlent à nouveau l’importance de prendre en considération la température, notamment aux ELS. L’étude en régime variable illustre de son côté la sensibilité du système aux variations de température et d’humidité. L’étude de la répartition des efforts en fonction de la raideur des goujons est choisie comme fil conducteur pour investiguer le passage vers des éléments multi-tiges. Un modèle 3D mono-tige aux éléments finis est tout d’abord développé pour prendre en compte l’orthotropie du bois et regarder l’influence du centre de moelle jusqu’à présent négligée. Par la suite ce modèle est étendu aux configurations multi-tiges afin de simuler différentes configurations d’essais. Un prototype d’essai de caractérisation mécanique des assemblages multi-tiges est finalement présenté. / Glued-in rods have successfully been used for connections or reinforcement of timber structures. With the development of tall and large timber buildings and new products such as Cross Laminated Timber (CLT), there is an increasing need for connections that provide high stiffness and strength. Timber connections using glued in rods have a general aesthetic appeal, and take advantage of the structural adhesives that provide a high stiffness and load capacity. During the last 30 years, multiple applications have been developed for renovation and new construction. In parallel, numerous investigations have characterized the mechanical performance of these connections, but harmonized design rules are not available. A lack of knowledge on the multiple-rod connections, on the choice of adhesives, on long-term effects and on the control of quality is identified by a recent study and must be investigated before a new submission to Eurocode 5. This thesis is performed in the framework of collaboration between Université de Bordeaux (France) and Université Laval (Canada). Objectives are focused on the mechanical performance of adhesives and glued-in rod connections under elevated temperature, on the development of creep tests and the investigations of multiple-rod connections. This study combines experimental and finite element modelling results, which are presented in the form of scientific articles. A Dynamic Mechanical Analysis (DMA) on one polyurethane (PUR) and one epoxy (EPX) adhesives followed by static tensile tests on the connections with small-diameter steel glued-in rods have been conducted at different temperatures. High differences in stiffness are observed between the two adhesives. Glued-in rod connections with the EPX and PUR adhesives demonstrate significant losses of stiffness and resistance beyond 40°C, before the glass transition temperature of the adhesive. Following the outside temperature, connections must be insulated to prevent excessive slip and risk of failure at the Serviceability Limits State (SLS) and at the Ultimate Limit States (ULS). Few data on the long-term effects are available in the literature. In this work, 12 campaigns of creep tests, adding time effects to previous work, have been performed. Glued-in rod connections were tested during one to two months in a conditioning room where temperature and relative humidity were controlled or in a room with a variable climate representative of service class 1. Disparities were observed between EXP and PUR. Creep tests conducted at 20°C and 50°C revealed an important role of the temperature, particularly for SLS. Creep tests in variable climate illustrated the sensibility of connections to the temperature and humidity variations. The stiffness and stress distribution in multiple-rod connections were investigated. First, a 3D model was developed to observe the influence of the wood orthotropy on the stiffness and stress distribution in a connection with a single rod. Then, the model was extended to multiple-rod connections to simulate different loads and boundary conditions. Finally, a prototype of a connection with multiple glued-in rods was tested.

Gegenstand der vorliegenden Arbeit ist die templatgestützte Erzeugung metallischer Stäbchen und Ringstrukturen im Mikrometer- und Nanometerbereich. Derartige Strukturen besitzen vor allem aufgrund ihres außergewöhnlichen Verhaltes gegenüber elektromagnetischen Wellen ein hohes Potential für optische, elektronische, magnetische oder sensorische Anwendungen. Zunächst wird das Vorgehen zur Herstellung mesoskopischer Ringe durch die Infiltration von Kolloidkristallen aus Siliziumdioxid mittels geeigneter Präkursorlösungen detailliert betrachtet. Daraufhin werden Ansätze zur Optimierung einzelner Teilschritte vorgestellt. Im Anschluss erfolgt die Übertragung des Verfahrens auf die Herstellung von Goldringen. Neben der elektronenmikroskopischen Charakterisierung der Proben wird unter anderem durch energiedispersive Röntgenspektroskopie (EDXS), Elektronenrückstreubeugung (EBSD) und Röntgenphotoelektronenspektroskopie (XPS) bestätigt, dass die entstandenen Strukturen aus metallischem Gold bestehen. Ein weiterer Inhalt dieser Arbeit ist die Konzeption und Umsetzung einer Apparatur zur elektrochemischen Erzeugung von mesoskopischen Metallstäbchen im Inneren von porösen Aluminiumoxidmembranen. Im Anschluss wird die Herstellung von Silber- und Goldstäbchen beschrieben. Außerdem wird aufgeführt, wie die sequenzielle Abscheidung der beiden Metalle unter anschließender Auflösung des metallischen Silbers zur Erhöhung der Ausbeute an isolierten Goldstäbchen führt.

Baigiamajame magistro darbe pateiktos pagrindinės prielaidos, kurios priimamos analizuojant klijų kontaktą tarp medienos ir metalo. Aptartos plačiausiai taikomos plieninių sriegtų strypų įklijavimo medienoje technologijos. Apibendrinti plieninių sriegtų strypų įklijavimo medienoje technologijos kontrolės metodai. Išanalizuota mokslinė literatūra, susijusi su plieninių sriegtų strypų įklijavimu medienoje. Tiriamojoje dalyje surasti ir išnagrinėti Pasaulinės patentų sistemos „esp@cenet“ 11 patentų, kuriuose pateikiami montažiniai medienos elementų mazgai, sukonstruoti panaudojant plieninius įklijuojamus strypus. Pateikti pagrindiniai standžių montuojamųjų mazgų konstravimo principai. Eksperimentinėje dalyje laboratoriniais bandymais ištirta sąveika tarp medienos ir plieninio sriegto strypo, kai kontaktas tarp jų užtikrinamas klijais. Atlikti eksperimentiniai tyrimai: plieninių sriegtų strypų takumo bei stiprumo įtempių nustatymas; medienos tankio ir drėgnio nustatymas; plieninių sriegtų strypų ištraukiamojo atspario nustatymas. Aptarti pagrindiniai gamybos netikslumai, kurie turi įtakos jungties elgsenai ir laikomajai galiai. Išanalizuota pavienio plieninio strypo, įklijuoto medienoje, gniuždomojo ir tempiamojo atspario skaičiavimo metodika, pateikiama projektavimo normose STR ir Eurokode 5. Bandymų rezultatai palyginti su teorinėmis išraiškomis, pateikiamomis projektavimo normose. Remiantis eksperimentinių bandymų rezultatais ir ankstesnių autorių tyrimų... [toliau žr. visą tekstą] / In this master degree thesis submitted general assumtions which are being adopted while analysis of glued joint between timber and steel. Discussed the main technologies of glueing in steel rod into timber. Summarized technolgy control methods of glueing in steel rods process. Overviewed the scientific literature which is related to the steel rods glued in timber. In research part of the work submitted 11 patents of esp@cenet patent base of rigid joints in which construction used glued in steel rods. Given the main principles of construction of rigid joints with glued in steel rods. In experimental part of the work investigated the behavior of the timber – steel joint which contact is ensured by glue. Experimental studies were done: yield and strength stress determination of threaded steel rods; determination tests of timber moisture content and density; determination of tensile carrying capacity of threaded steel rod glued in glulam. Reported production inaccuracies and its influence on joint‘s behavior and final carrying capacity. The results are compared with theoretical expressions provided by the design rules. Based on the experimental results of the test and study reports of previous authors, submitted proposals for design rules of the addition of comments. Structure: introduction, the concept of the matter, literature review, experimental studies, conclusions and suggestions, references. Thesis consist of: 100 p. text without appendixes, 64 pictures, 20 tables, 43... [to full text]