Exact analysis of nonprismatic beams

An exact analysis of nonprismatic beams with general boundary conditions is presented. The analysis is based on the boundary integral method. The fundamental solutions for nonprismatic beams of linear and parabolic profiles are derived. The fundamental solution is used as a weighing function to transform the governing equation and the boundary condition equations into four algebraic equations. The resulting algebraic equations offer exact relations among the physical variables at the beam supports. The method is tested through two numerical examples to show its accuracy.