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The first nine blocks in the solution to the single-wide block-stacking problem with the overhangs indicated. In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire (Johnson 1955), also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table.
Two ladders of lengths a and b lie oppositely across an alley, as shown in the figure. The ladders cross at a height of h above the alley floor. What is the width of the alley? Martin Gardner presents and discusses the problem [1] in his book of mathematical puzzles published in 1979 and cites references to it as early as 1895. The crossed ...
A starting point for solving contact problems is to understand the effect of a "point-load" applied to an isotropic, homogeneous, and linear elastic half-plane, shown in the figure to the right. The problem may be either plane stress or plane strain. This is a boundary value problem of linear elasticity subject to the traction boundary conditions:
The second approach relies on the load-sharing concept [13] that can be used to solve the problem approximately but at a significantly less computational cost. In the second approach, the general problem is split up into two sub-problems: 1) lubrication problem assuming smooth surfaces and 2) a “dry” rough contact problem.
WASHINGTON (Reuters) -The U.S. Supreme Court declined on Monday to decide whether federally mandated warnings on cigarette packs that graphically illustrate the health risks of smoking violate the ...
The search for missing hiker Susan Lane-Fournier, 61, took a tragic turn after her body was found over the weekend in Welches, Oregon, an unincorporated community at the base of Mount Hood.
MADRID (AP) — Kylian Mbappé made some peace with Real Madrid’s fans. Mbappé scored in Madrid's 2-0 win over Getafe in the Spanish league on Sunday to help ease the pressure on the France star.
The elastic half-space problem is solved analytically, see the Boussinesq-Cerruti solution. Due to the linearity of this approach, multiple partial solutions may be super-imposed. Using the fundamental solution for the half-space, the full 3D contact problem is reduced to a 2D problem for the bodies' bounding surfaces.