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Solution of stiffness equations of beam-column with varying section by Bessel function

An approximate method for computation of the Bessel function J p(x) and N p(x) is presented at first and connecting with the application of the researched problems the validity of the method within the range from -∞p+∞ and x0 is examined. The stiffness equations of beam-columns with varying cross section according to power function are then suggested and the calculated results are discussed. The determination of critical forces of these members is also studied and the results checked by the known results. The contributions of the paper can be regarded as a preliminary work for the research of the Elastic-plastic beam-column too.