Euler Critical Load of Columns by Using Concept of Topological Similarity

摘要

In the design of aircraft frames buckling of spars, treated as columns, is to be taken into account. A new simplified and easy to use methodology for obtaining Euler critical loads of the columns is presented in this paper. It is based on concept of topological similarity used in the Principle of Quasi Work. This principle connects two topologically similar systems thereby leading to a unique concept of reference column. Critical load of columns with different boundary conditions is obtained by using a priory known equation of deflection of buckled reference column. This methodology is easy to use as critical load of columns are obtained by simple multiplications. It eliminates the use of bending moment expressions as well as solution of differential equations unlike conventional methods. The present methodology is successfully applied to columns with different boundary conditions in this paper.