The paper considers the possibility of estimating the stiffness and strength characteristics of slab and wall structures by thickness based on the results of experimental studies of measurements of bending wave propagation velocities of different frequency ranges. Theoretical dispersion curves of bending wave velocities as a function of their lengths for plate structures of different characteristics at different thicknesses are constructed. Comparison of theoretical and experimental results for estimation of the state of materials by the thickness of slabs has been carried out. Experimental measurements of bending wave propagation velocities on the walls of an existing building in St. Petersburg have been carried out, and the primary assessment of masonry stiffness properties and control of the design wall thickness have been performed. The results of the studies confirmed the possibility of assessing the characteristic of the state of materials in the thickness of slab and wall structures by comparing experimental studies of bending wave propagation velocity measurements at different frequency ranges. The use of bending wave method also allows controlling the design thickness of slab, wall and lining at one-sided access