Generally, mechanical structures are required to be highly safe to withstand a lot of earthquakes. Therefore, seismic evaluation and design techniques that are able to evaluate cumulative damages have been required. According to studies on failure of pipes, the load due to earthquake is a cyclic loading. The relationship between failure and the energy is evaluated, examined by paying attention to the Energy Balance Method said to be effective as an earthquake response analysis technique in the present Moreover the Energy Balance Method has aimed at the generalization of the earthquake-proof evaluation technique. This study carries out failure experiments using simple single degree of freedom models having various cross sections. Although the object dealt with by this research until now is a simple single degree of freedom model of hundreds of gram order, in order to perform detailed earthquake-proof evaluation for an actual mechanical structures, examination by the large mass type model near a real structure is needed. The consideration of the influence of the section modulus or the moment of inertia area on the energy required to failure is examined as a parameter of the shape of cross section by using the model of tens of kg order, by focusing on the microscopic response for the strain of point of failure.