Canadian Journal of Pure & Applied Sciences

Abstract: Differential Quadrature (DQ) is a numerical method for evaluating derivatives of a sufficiently smooth function. Of the various numerical solutions, differential quadrature (DQ) method has distinguished itself because of its high accuracy, straightforward implementation and generality in a variety of problems. In this paper differential quadrature method is used to solve buckling problem of column. Critical buckling load is obtained for prismatic and non-prismatic column and various boundary conditions are applied. The obtained critical buckling load is compared with exact solution. Equally spaced and Chepeshev-Gauss-Lobatto grid points are chosen to show the effect of the grid points on the solution, also the effect of the number of grid points on the solution is studied. Direct substitution method is used to implement various boundary conditions. A treatment of clamped - free boundary conditions is shown where modified weighting coefficients formula is driven. Also the effect of the non-prismatic constant on the buckling load is studied.