FURTHER DISCUSSION ON THE ANALYTICAL SOLUTIONS TO CURVED BEAM AND STRAIGHT BEAM

Bending of curved beams by forces at the end are typical elastic problem solved in polar coordinates, which are similar to cantilever problems in rectangular coordinates. The solutions of the curved beam problems will degenerate to straight cantilever beam with the curvature radius of curved beam tending to infinite, which shows the relationship between the curved beam bending problem and the straight beam bending problem.