Abstract
In this paper, it is presented a free vibration analysis of all-edge-built-in floor slabs with stepped thickness. Refering to the problem of off-centered juncture of two slabs, the present analysis of built-in slabs consisting of subpanels different in thickness with a common upper surface accounts for the effect of in-plane slab actions caused by their different mid-surface level, taking account of its eccentricity with respect to a reference plane when treating the conditions of thier continuity. By using the method of superimposition, it is shown that solutions which satisfy identically the differential equation and satisfy the boundary conditions with any desired degree of accuracy are obtained. Eigenvalues of four digid accuracy are provided for a wide range of plate aspect ratios.
