Stresses in a Rod of Arbitrary Cross-Section to General Bending, Shearing and Torsional Dynamic Loads

This paper is concerned with a method for obtainning stresses in a rod of arbitrary cross-section subjected to combined loads of bendings, shearings and torsions which are the complicated functions of time. In the first step the analysis derives the bending moment, shearing force and torsional moment by use of a combination methods of the Laplace transformation and Fourier series expansion. The transient stresses are obtained based on the two dimensional theory of elasticity, but in which the Fourier expansion collocation procedure is applied to deal with the complex boundary shape of the cross section. To discuss the validity of this analysis, experimental tests are also carried out for an oval rod subjected to the three combined transient loads.