Title: Compact objects in categories of modules Author: Peter Kálnai Department: Department of Algebra Supervisor: Mgr. Jan Žemlička, Ph.D., Department of Algebra Abstract: In the thesis we state baic properties of compact objects in various appropriate categories like categories of modules, stable factor category over a perfect ring and Grothendieck categories. We find a ring R such that the class of dually slender R-modules is closed under direct products under some set-theoretic assumption. Finally, we characterize the conditions, when countably generat- ed projective modules are finitely generated, expressed by their Grothendieck monoid. Keywords: compact, dually slender module, stable module category, projective module, self-small

This diploma thesis describes the design of new connections and modification of existing connections cover and housing of oil module for trucks. This connection must resist the effects of operating oil trucks modules. These effects include pressure pulsation, temperature fluctuations, vibrations and weather conditions. The most important is the resistance of cover to rotation and loss of tightness. The work includes research of different connections usable for this application. Other research focuses on the use of connection of other manufacturers in the market. The work included a proposal of possible solutions for the modification of cover and housing and their evaluation using specified criteria with rating matrix. The final part deals with the development of the three best evaluated proposed solution. For each solution is made as necessary calculations, drawings and next steps of implementation of individual solutions.

The industrialized timber housing process is capable nowadays to build multi-storeyhouses since fairly new changes in the Swedish regulations where made after theadmission of the European Union in 1994.The industrialized process moves parts of the construction process into a highlyeffective factory where 3D-volumes of the building are prefabricated beforetransportation to the building site for assemble.The assembly process is relatively effective compared to the completion of thebuilding service system and this is therefore the main focus in this thesis. This thesisattends problems with completion of the building service system, and thereforedemarcates from other aspects, such as technical and economic aspects, of thebuilding service system.The degree of completion of the flats differs from completion of the connectivepassages, for example hallways, in a way that suggests a need for further investigation.This thesis includes analysis of the possibilities to increase the prefabricatedconnective passages, to the extent of containing building service systems.An increase of the prefabrication of the building service system has a greatdevelopment potential, even though some restraining factors need to be solvedbefore implementation.This thesis was made in collaboration with two of Sweden’s leading companies on themarket of multi-storey industrialized timber housing, Moelven ByggModul AB andLindbäcks Bygg AB.

I vissa takstolskonstruktioner kan det ibland uppstå stora tryckkrafter i diagonala reglar. I Sverige löser man oftast detta med hjälp av stagning tvärs diagonalen för att hindra utböjning i veka riktningen. Ibland när det är svårt att på plats trä in strävor på grund av utrymmesbrist och dylikt kan man spika eller skruva på en regel för att på så sätt förstärka den diagonala strävan. Detta examensarbete har undersökt två olika förstärkningsalternativ, rektangulärt- och T-tvärsnitt, med hjälp av reglar med dimension 45x95 mm2 vilka skruvas respektive spikas ihop. Detta har gjorts laborativt genom att trycka provkroppar i en provningsram och undersöka hur mycket den axiala kapaciteten ökar med förstärkning. De två olika förstärkningslösningarna bygger på att man på plats kan förstärka strävor med enkla medel. Testbitarna har levererats till Växjö universitet och är av oklassat virke. Provbitarnas E-modul har undersökts för att på teoretisk väg undersöka hur stor axialkraftskapacitet den primära strävan har utan förstärkning. Provkroppar tillverkades och konditionerades i klimatrum, med temperaturen 20°C och 65 % RF, i ca tre veckor före provtryckning. De laborativa värdena visar att den axiella kapaciteten ökar med 1,9 – 2,7 ggr för de rektangulära tvärsnitten och 2,5 – 4,0 ggr för T-tvärsnitten. Förstärkningsfaktorn är beroende av längd, förstärkningsalternativ och sammanfogning. Förstärkningseffektiviteten är högst för de längre strävorna. / In wooden roof trusses there sometimes may occur buckling in compressed web members. In most cases in Sweden this is solved by bracing between two webs to prevent buckling of the minor axis. Sometimes it is hard to brace between webs because of lack of space. Then it is possible to nail or screw a side member on the compressed web to increase the capacity. This diploma work has examined two different ways of bracing, rectangular cross section and T-bracing, with webs 45x95 mm2. Experimental tests have been made on compression webs and examine the bracing efficiency. It is important that the bracing alternatives are easy to use with simple tools. Ungraded lumber were delivered to Växjö University. The Youngs modulus of the test pieces has been examined so the critical buckling load of the main member without bracing could be calculated theoretically. The lumber was conditioned to equilibrium moisture content of approximately 12 percent in a room maintained at 65 percent relative humidity and 20°C in three weeks before testing the critical buckling load. The experimental results show that the critical buckling load increases with a factor of 1,9 – 2,7 for the rectangular cross sections and with a factor of 2,5 – 4,0 for the T-bracing. The bracing efficiency is dependent on length, bracing alternative and type of connectors.. The bracing efficiency increases for longer webs.

<p>I vissa takstolskonstruktioner kan det ibland uppstå stora tryckkrafter i diagonala reglar. I Sverige löser man oftast detta med hjälp av stagning tvärs diagonalen för att hindra utböjning i veka riktningen. Ibland när det är svårt att på plats trä in strävor på grund av utrymmesbrist och dylikt kan man spika eller skruva på en regel för att på så sätt förstärka den diagonala strävan. Detta examensarbete har undersökt två olika förstärkningsalternativ, rektangulärt- och T-tvärsnitt, med hjälp av reglar med dimension 45x95 mm2 vilka skruvas respektive spikas ihop. Detta har gjorts laborativt genom att trycka provkroppar i en provningsram och undersöka hur mycket den axiala kapaciteten ökar med förstärkning. De två olika förstärkningslösningarna bygger på att man på plats kan förstärka strävor med enkla medel.</p><p>Testbitarna har levererats till Växjö universitet och är av oklassat virke. Provbitarnas E-modul har undersökts för att på teoretisk väg undersöka hur stor axialkraftskapacitet den primära strävan har utan förstärkning. Provkroppar tillverkades och konditionerades i klimatrum, med temperaturen 20°C och 65 % RF, i ca tre veckor före provtryckning.</p><p>De laborativa värdena visar att den axiella kapaciteten ökar med 1,9 – 2,7 ggr för de rektangulära tvärsnitten och 2,5 – 4,0 ggr för T-tvärsnitten. Förstärkningsfaktorn är beroende av längd, förstärkningsalternativ och sammanfogning. Förstärkningseffektiviteten är högst för de längre strävorna.</p> / <p>In wooden roof trusses there sometimes may occur buckling in compressed web members. In most cases in Sweden this is solved by bracing between two webs to prevent buckling of the minor axis. Sometimes it is hard to brace between webs because of lack of space. Then it is possible to nail or screw a side member on the compressed web to increase the capacity. This diploma work has examined two different ways of bracing, rectangular cross section and T-bracing, with webs 45x95 mm2. Experimental tests have been made on compression webs and examine the bracing efficiency. It is important that the bracing alternatives are easy to use with simple tools.</p><p>Ungraded lumber were delivered to Växjö University. The Youngs modulus of the test pieces has been examined so the critical buckling load of the main member without bracing could be calculated theoretically. The lumber was conditioned to equilibrium moisture content of approximately 12 percent in a room maintained at 65 percent relative humidity and 20°C in three weeks before testing the critical buckling load.</p><p>The experimental results show that the critical buckling load increases with a factor of 1,9 – 2,7 for the rectangular cross sections and with a factor of 2,5 – 4,0 for the T-bracing. The bracing efficiency is dependent on length, bracing alternative and type of connectors.. The bracing efficiency increases for longer webs.</p>

In der vorliegenden Arbeit wird eine Prozedur zur Ordnungsreduktion von Finite Elemente Modellen mikromechanischer Struktur mit elektrostatischem Wirkprinzip entwickelt und analysiert. Hintergrund der Ordnungsreduktion ist eine Koordinatentransformation von lokalen Finite Elemente Koordinaten in globale Koordinaten. Die globalen Koordinaten des reduzierten Modells werden durch einige wenige Formfunktionen beschrieben. Damit wird das Makromodell nicht mehr durch lokale Knotenverschiebungen beschrieben, sondern durch globale Formfunktionen, welche die gesamte Deformation der Struktur beeinflussen. Es wird gezeigt, dass Eigenvektoren der linearisierten mechanischen Struktur einfache und effiziente Formfunktionen darstellen. Weiterhin kann diese Methode für bestimmte Nichtlinearitäten und für verschiedene in Mikrosystemen auftretende Lasten angewendet werden. Das Ergebnis sind Makromodelle, die über Klemmen in Systemsimulatoren eingebunden werden können, die Genauigkeiten einer Finite Elemente Analyse erreichen und für Systemsimulationen typische Laufzeitverhalten besitzen.

One of the most important factors for a successful performance of a load-bearing implant for hard tissue replacement is its mechanical compatibility with human bone. That implies that the stiffness should be close to that of a bone and the strength of the implant material must be high enough to bear the load applied under physiological conditions. The Young´s modulus of most of the commonly used biomedical alloys is larger than that of a human bone (around 100 GPa for cp Ti, 112 GPa for Ti-6Al-4V versus 10-30 GPa for cortical human bone). A stiffness reduction of Ti alloys can be achieved by two approaches: (i) selecting an alloy composition with low Young´s modulus i.e. a ß-type alloy and (ii) introducing a reasonable amount of porosity. The composition of Ti-40Nb was chosen for the present work, as it allows to stabilize a single ß-type phase with low Young´s modulus at room temperature. The samples were produced by a powder metallurgical approach. The Ti-40Nb alloy powder was obtained by ball-milling of elemental Ti and Nb powders. The influence of the milling parameters on the oxygen content in the milled powder was studied. Powders with a lowest oxygen content of 0.4 wt.-% had an almost single ß-type phase after heat treatment and quenching. Porous samples were produced by loose powder sintering, hot-pressing and sintering with NaCl as a space-holder. The influence of the different processing routes and different porosities on the mechanical properties of the alloy was studied. The samples produced by loose powder sintering had mechanical properties close to those of cortical human bone (Young´s modulus 20 GPa, compression strength 150 MPa) and the samples produced by loose sintering with space-holder materials had mechanical properties close to those of human spongy bone (Young´s modulus 0.2-2 GPa, compression strength 50 MPa). Porous Ti-40Nb samples were coated with bone-like hydroxyapatite by an electrochemical deposition method in order to improve the osseointegration of the samples with bone tissue. The experiments were carried out with samples produced by different routes and a correlation between the deposition parameters and the morphology of the hydroxyapatite needles was found.

Eine virtuelle Gemeinschaft (VG) versteht sich primär als Medium zur Begegnung zwischen Individuen. Mit der Ausnahme von künstlichen Agenten, insbesondere derer mit adversarialen Problemstellungen im unbekannten Zustandsraum, sind diese Individuen zumeist menschlicher Natur. So versteht es sich, in diesen Bereich mit menschlichen Maßstäben zu messen.

This thesis contains two parts: theoretical and experimental. In the theoretical part are described materials for production SCC and their effect on the properties of fresh and hardened concrete. Practical part is divided into two experiments. First experiment deals with the design, production and properties of hardened SCC strength classes C16/20, C20/25 and C25/30 with high volume fly ash and inert admixtures. The main endpoints were long-term compressive strength and modulus of elasticity. Second experiment of practical part deals with designs SCC with modulus of elasticity more than 40 kN/mm2.

To ensure that a customer is satisfied when they purchase a product, they need to be able toreceive assistance if the product does not work correctly or is in any other way unsatisfactory. Thisis why support is needed. There are many different types of support, but with an ever growingnumber of people having less time to spare in their every day life, a quick short answer issometimes preferred. This is why the market for Live-Chat support solutions has grown.    The purpose of this thesis project is to develop a functional stand-alone Live-Chatdemonstration prototype according to Askås' demands and wishes. The demonstration prototypewas developed using the programming language Perl, with additional functionality developed injQuery, HTML and CSS. The project will be evaluated by its functionality and too which degree itcompares to similar solutions.    The project was successful in the development of a functional demonstration prototypehowever further development is needed if it is to be used as a complement to Askås' web-shopsolution.