Heat Transfer Lab report ; no. 80047-99 / Sponsored by Empire State Electric Energy Research Corporation, New York.

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Call number: LD2668 .T4 1964 R21 / Master of Science

This thesis deals with the development and numerical modeling of Fiber Reinforced Polymer (FRP) wind turbine towers and luminaires. More specifically, this project is designed to capitalize on the technologies developed at the University of Manitoba to design FRP composite structures for use in remote communities where the costs of transportation and erection make the use of steel towers prohibitive. The work presented includes the analysis of a 50 m tall 750 kW wind turbine tower according to International Electrotechnical Commission (IEC) and Canadian Standard Association (CSA) standards using Glass Fiber Reinforced Polymer (GFRP), Carbon Fiber Reinforced Polymer (CFRP) and conventional steel. Standard luminaires, 6 m and 12 m, were also designed according to American Association of State Highway and Transportation Officials (AASHTO) standards for highway luminaires. The results showed that FRP can be effectively used as an alternative material for wind turbine towers and luminaires. Fiber Reinforced Polymer (FRP) composite wind turbine towers and luminaires studied in this project are lighter than similar structures fabricated using steel. Furthermore, these structures also meet the structural performance requirements set by AASHTO, IEC and CSA standards. / October 2016

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Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Architecture, 1982. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND ROTCH. / Includes bibliographies. / by Gail Fenske. / M.S.

Typescript (photocopy). / Digitized by Kansas Correctional Industries

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Let K be a quadratic imaginary number field, let Kp^(infinity) the top of its p-class field tower for p an odd prime, and let G=Gal(Kp^(infinity)/K). It is known, due to a tremendous collection of work ranging from the principal results of class field theory to the famous Golod-Shafarevich inequality, that G is finite if the p-rank of the class group of K is 0 or 1, and is infinite if this rank is at least 3. This leaves the rank 2 case as the only remaining unsolved case. In this case, while finiteness is still a mystery, much is still known about G: It is a 2-generated, 2-related pro-p-group equipped with an involution that acts as the inverse modulo commutators, and is of one of three possible Zassenhaus types (defined in the paper). If such a group is finite, we will call it an interesting p-tower group. We further the knowledge on such groups by showing that one particular Zassenhaus type can occur as an interesting p-tower group only if the group has order at least p^24 (Proposition 8.1), and by proving a succinct cohomological condition (Proposition 4.7) for a p-tower group to be infinite. More generally, we prove a Golod-Shafarevich equality (Theorem 5.2), refining the famous Golod-Shafarevich inequality, and obtaining as a corollary a strict strengthening of previous Golod-Shafarevich inequalities (Corollary 5.5). Of interest is that this equality applies not only to finite p-groups but also to p-adic analytic pro-p-groups, a class of groups of particular relevance due to their prominent appearance in the Fontaine-Mazur conjecture. This refined version admits as a consequence that the sizes of the first few modular dimension subgroups of an interesting p-tower group G are completely determined by p and its Zassenhaus type, and we compute these sizes. As another application, we prove a new formula (Corollary 5.3) for the Fp-dimensions of the successive quotients of dimension subgroups of free pro-p-groups.

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