A graph is prismatic if for every triangle T , every vertex not in T has exactly one neighbour in T . In this paper and the next in this series, we prove a structure theorem describing all prismatic graphs. This breaks into two cases depending whether the graph is 3-colourable or not, and in this paper we handle the 3-colourable case. (Indeed we handle a slight generalization of being 3-coloura...

In this paper mathematical formulation for buckling analysis of a column and vibrationanalysis of a beam is presented. The beam and the column is assumed to be non-uniform and cracked.Using calculus of variations, the problem is expressed as an optimization problem. A technique ofoptimization is used for analysis of buckling load. Considering the similarity between the governingequation for buc...

The title europium(III) carboxyl-ate, [Eu(3)(C(8)H(7)O(2))(9)](n), has three independent Eu atoms, two of which are eight-coordinate in a square-anti-prismatic coordination geometry, whereas the third is nine-coordinate in a tricapped trigonal-prismatic coordination geometry. The metal atoms are linked by two bidentate and seven tridentate methyl-benzoate groups into a linear chain running alon...

A method for calculating prismatic forming cutters with a baseline is proposed. In contrast to the existing design methodology, depending on shaped profile of part, this technique systematizes graphical calculation and allows you apply unified approach easily automate calculation. The purpose developing new possibility automating reducing time baseline. correctional analytical incisors has been...

deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. effects of shear deformation and small size are taken into consideration by hyperbolic shear deformable beam theory and modified strain gradient theory, respectively. the governing differential equations and c...

In the paper a mixed-hybrid approximation of the potential uid ow problem based on prismatic discretization of the domain is presented. Trilateral prismatic elements with vertical faces and nonparallel bases suitable for the modelling of real geological circumstances are considered. The set of linearly independent vector basis functions is deened and existence and uniqueness of the approximate ...

A solution for the elastoplastic deflection of cantilever beams with linearly variable circular cross-section loaded by shear force at free end, which is suitable practical use, has not yet been developed. semi-analytical such a problem proposed in this paper. The involves made homogenous and isotropic materials bilinear strain hardening behavior. Bernoulli–Euler formula used determining elasti...