Since it is generally difficult to predict the occurrence of natural disasters such as earthquakes, a performance management system that constantly maintains the safety and functionality of structures is required, particularly for critical structures like nuclear power plants. In order to realize such a system, it is becoming important to carry out detailed modeling procedures and analyses to better understand actual phenomena. The aim of our research is to determine the dynamic behavior-especially the wave propagation phenomena-of piping systems in nuclear power plants, which are complicated assemblages of parts. The spectral element method is adopted in this study, and the formulation considering a shear deformation independently for a frame element is described. The Timoshenko beam theory is introduced for the purpose of this formulation. The validity of the presented element will be shown through comparisons with the conventional beam element.