Theory of Distributions for Structural Engineering Problems

Theory of Distributions is branch of Mathematics which deals with discontinuities occurring in functions. Distributions results in the solution of problems with less efforts. It reduces number of integration constants.A closed form solution is possible 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.