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The formula was constructed by the Danish civil engineer Andreas Knudsen in 1955. It was made as a part of his final project at The Technical University of Denmark and was published for the Geotechnic Congress in London in 1956. It later became part of the Danish Code of Practice for Foundation Engineering and was named.
Pile weave is a form of textile created by weaving. This type of fabric is characterized by a pile —a looped or tufted surface that extends above the initial foundation, or 'ground' weave. The pile is formed by supplemental yarn running in the direction of the length of the fabric ( warp pile weave ) or the width of the fabric ( weft or ...
Ada K. Dietz (left) and Ruth E. Foster (right) weaving on Lou Tate Little Looms at the Little Loomhouse, Louisville, KY, circa late 1940s. Ada K. Dietz (October 7, 1888 – January 12, 1981) was an American weaver best known for her 1949 monograph Algebraic Expressions in Handwoven Textiles, which defines a novel method for generating weaving patterns based on algebraic patterns.
In particular "pile length" or "pile depth" refer to the length of the yarn strands (half-length of the loops). Pile length affects and is affected by knot density: "The greater the knot density, the thinner the weft and warp yarns and the more weakly are they twisted; the smaller the density, the coarser are the foundation yarns."
The soil response for each pile segment is modeled as viscoelastic-plastic. The method was first developed in the 1950s by E.A. Smith of the Raymond Pile Driving Company. Wave equation analysis of piles has seen many improvements since the 1950s such as including a thermodynamic diesel hammer model and residual stress. Commercial software ...
The bifurcation diagram shows the forking of the periods of stable orbits from 1 to 2 to 4 to 8 etc. Each of these bifurcation points is a period-doubling bifurcation . The ratio of the lengths of successive intervals between values of r for which bifurcation occurs converges to the first Feigenbaum constant .
For diagrams that do not possess grid lines, the easiest way to determine the values is to determine the shortest (i.e. perpendicular) distances from the point of interest to each of the three sides. By Viviani's theorem , the distances (or the ratios of the distances to the triangle height ) give the value of each component.
The method consists of filling the flow area with stream and equipotential lines, which are everywhere perpendicular to each other, making a curvilinear grid.Typically there are two surfaces (boundaries) which are at constant values of potential or hydraulic head (upstream and downstream ends), and the other surfaces are no-flow boundaries (i.e., impermeable; for example the bottom of the dam ...