In contemporary times, building construction requires light weight with slender structures rather than using conventional materials like concrete. Now a day's Structural Engineers concentrate much more on such slender structures with longer span. The impact of vibration due to human rhythmic activities like aerobics, jumping and dancing on these slender structures is a notable phenomenon. As per the various researchers contemplate, the floor vibrations annoyance not only affect the structure and also its impact over the occupants of the buildings in health affecting aspects. The aim of this paper is to analyse the vibration behavior of composite steel floor structuresunder gymnastic activities like jumping as human rhythmic activities by FEM analysis. The Finite Element Method analysis is done by using ANSYS software. From the Transient analysis of Finite Element method, the peak acceleration values are found out. These peak acceleration values are compared with the recommended values of IS 800-2007 and ISO 2631 – part II. The annoyance of such acceleration values under human rhythmic activities may induce vibration in terms of resonance; the natural frequency of the structural floor may coincide with any of the frequency of such activities. When resonance occurs, even fatigue failure of structures may happen. Hence it is essential for the structural Engineer to undergo the vibration analysis of composite floor structures during design stage itself.In order to check over such problems, in this paper as a novelty; a mathematical model is developed using SPSS software.This mathematical model is for peak acceleration values which helps the structural designer to analyse vibration problems under human rhythmic activities.