243,865 research outputs found
Compressive behavior of masonry columns confined with steel reinforced grout (SRG) composite
In this study, a new type of composite comprised of steel fiber cords embedded in a natural hydraulic lime mortar matrix, known as steel reinforced grout (SRG), is explored for the use in confinement of masonry columns. An experimental study was carried out to understand the behavior of solid clay brick masonry columns confined by SRG jackets. Twenty-four confined and seven unconfined columns with a square cross-section were tested to failure under a monotonic concentric compressive load. Test parameters considered were the column corner condition, number of fiber jacket layers, and number of fiber overlapping faces. SRG confinement improved the compressive strength, ultimate axial strain, and energy absorption of the masonry columns relative to the unconfined condition. Results showed that increasing the number of fiber layers increased the confined compressive strength, however the increase in confined strength was not proportional to the number of fiber layers. Rounding the column corners slightly increased the confined compressive strength. Increasing the number of fiber overlapping faces also increased the confined compressive strength. Models from the literature for FRP-confined masonry were examined for their applicability to predict the strength increase from SRG jackets. Considering the specimens included in this thesis work and supplemented with others collected from the literature, it was found that the model for the Italian CNR-DT 200 provided the closest predictions of the increase in compressive strength provided by the SRG jacket (within 33% of the experimental values). More work is needed to improve the predictions of the increase in compressive strength provided by SRG jackets and to predict the ultimate strain in the jacket --Abstract, page iii
The Sword, October 2011
Contents
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Congruence and Metrical Invariants of Zonotopes
Zonotopes are studied from the point of view of central symmetry and how
volumes of facets and the angles between them determine a zonotope uniquely.
New proofs are given for theorems of Shephard and McMullen characterizing a
zonotope by the central symmetry of faces of a fixed dimension. When a zonotope
is regarded as the Minkowski sum of line segments determined by the columns of
a defining matrix, the product of the transpose of that matrix and the matrix
acts as a shape matrix containing information about the edges of the zonotope
and the angles between them. Congruence between zonotopes is determined by
equality of shape matrices. This condition is used, together with volume
computations for zonotopes and their facets, to obtain results about rigidity
and about the uniqueness of a zonotope given arbitrary normal-vector and
facet-volume data. These provide direct proofs in the case of zonotopes of more
general theorems of Alexandrov on the rigidity of convex polytopes, and
Minkowski on the uniqueness of convex polytopes given certain normal-vector and
facet-volume data. For a zonotope, this information is encoded in the
next-to-highest exterior power of the defining matrix.Comment: 23 pages (typeface increased to 12pts). Errors corrected include
proofs of 1.5, 3.5, and 3.8. Comments welcom
Between the Columns Newsletter: Spring 2010
Table of Contents More than Walls: Building the Noel Studio Team (p. 1) Message from the Dean (p. 2) Kindles and iPods: Your On-the-Go Reading Alternatives (p. 2) LibStart: Library Tour Program (p. 2) Txt Ur Lib (p. 2) An Evening on the Quilt Trail with Friends (p. 3) EKU Libraries 2010 Board Members (p. 3) New Resources (p. 4) SGA Popular DVD Collection (p. 5) Staff Highlights (p. 5) Adventures in Copyright: Movies and Public Viewing Rights (p. 5) Getting to Noah Webster? (p. 6) Experience the Studio...Be the Difference (p. 6) Spring Library Hours (p. 6) Between the Columns: Student Inspired Design (p. 7) Spring 2010 Featured Events (p. 7) The Faces Behind the Service: the Library School Associates (p. 8
Between the Columns Newsletter: Spring 2010
Table of Contents More than Walls: Building the Noel Studio Team (p. 1) Message from the Dean (p. 2) Kindles and iPods: Your On-the-Go Reading Alternatives (p. 2) LibStart: Library Tour Program (p. 2) Txt Ur Lib (p. 2) An Evening on the Quilt Trail with Friends (p. 3) EKU Libraries 2010 Board Members (p. 3) New Resources (p. 4) SGA Popular DVD Collection (p. 5) Staff Highlights (p. 5) Adventures in Copyright: Movies and Public Viewing Rights (p. 5) Getting to Noah Webster? (p. 6) Experience the Studio...Be the Difference (p. 6) Spring Library Hours (p. 6) Between the Columns: Student Inspired Design (p. 7) Spring 2010 Featured Events (p. 7) The Faces Behind the Service: the Library School Associates (p. 8
THE EFFECT OF CORE ARCHITECTURE ON THE BEHAVIOUR OF SANDWICH COLUMNS UNDER EDGEWISE COMPRESSION LOADING
ABSTRACT Sandwich structures are a form of construction that offers high performance and low-weight. This type of construction became popular by the mid of the twenty century where different metallic faces and core materials were used for the construction of aircrafts and marine vessels. The development of high-strength, high-modulus, light-weight fibres and new forms of core materials has opened a new horizon for sandwich structures. Using sandwich structures for columns was investigated by different researchers. However, none of the located literature reported using strong-weak core (mixed-core) materials in sandwich columns. To investigate the effect of using mixed-core on the column behaviour was investigated by testing five sets of prototype columns under edgewise compression. The column cores were made of PVC low-density foam, end-grain balsa wood or a combination of both materials. The column skins were laminated by using glass/epoxy composites. The test results showed that the mixed-core can lead to having a failure mode that has not been reported previously. This paper presents the experimental work conducted in testing these columns. It highlights the effect of core structure on the failure mode and capacity of the sandwich columns
Cubic Polyhedra
A cubic polyhedron is a polyhedral surface whose edges are exactly all the
edges of the cubic lattice. Every such polyhedron is a discrete minimal
surface, and it appears that many (but not all) of them can be relaxed to
smooth minimal surfaces (under an appropriate smoothing flow, keeping their
symmetries). Here we give a complete classification of the cubic polyhedra.
Among these are five new infinite uniform polyhedra and an uncountable
collection of new infinite semi-regular polyhedra. We also consider the
somewhat larger class of all discrete minimal surfaces in the cubic lattice.Comment: 18 pages, many figure
A matrix solution to pentagon equation with anticommuting variables
We construct a solution to pentagon equation with anticommuting variables
living on two-dimensional faces of tetrahedra. In this solution, matrix
coordinates are ascribed to tetrahedron vertices. As matrix multiplication is
noncommutative, this provides a "more quantum" topological field theory than in
our previous works
On the Geometric Interpretation of the Nonnegative Rank
The nonnegative rank of a nonnegative matrix is the minimum number of
nonnegative rank-one factors needed to reconstruct it exactly. The problem of
determining this rank and computing the corresponding nonnegative factors is
difficult; however it has many potential applications, e.g., in data mining,
graph theory and computational geometry. In particular, it can be used to
characterize the minimal size of any extended reformulation of a given
combinatorial optimization program. In this paper, we introduce and study a
related quantity, called the restricted nonnegative rank. We show that
computing this quantity is equivalent to a problem in polyhedral combinatorics,
and fully characterize its computational complexity. This in turn sheds new
light on the nonnegative rank problem, and in particular allows us to provide
new improved lower bounds based on its geometric interpretation. We apply these
results to slack matrices and linear Euclidean distance matrices and obtain
counter-examples to two conjectures of Beasly and Laffey, namely we show that
the nonnegative rank of linear Euclidean distance matrices is not necessarily
equal to their dimension, and that the rank of a matrix is not always greater
than the nonnegative rank of its square
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