Theory of Distributions for Structural Engineering Problems

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Theory of Distributions is branch of Mathematicswhich deals with discontinuities occurring infunctions. Distributions results in the solution ofproblems with less efforts. It reduces number ofintegration constants.A closed form solution ispossible in many problems involving singularities as a result of applications of distributions In Structural Engineering discontinuities occur die to concentrated loads , concentrated moments, distributed load on part of span , intermediate supports, sudden change of moment of Inertia , Internal relaxations like flexural hinge or shear hinge, settelement of supports .Distributions helps to analysis of these singularity in beams, beam columns, buckling of column , vibration problems, plate bending problems and other problems like beams on Elastic foundations. Mixed torsion, members with axial tension and lateral loads.