Elastic #exural waves in an unloaded and unsupported segment of a non-uniform beam were considered. A method based on Timoshenko's model was established for evaluation of shear force, transverse velocity, bending moment and angular velocity at an arbitrary section from four independent measurements of such quantities at one to four sections. From these quantities, shear stress, normal stress, power transmission, etc., can be obtained. Experimental tests were carried out with an aluminium beam which had an abrupt change in height from 15 to 20 mm and was equipped with strain gauges and accelerometers at four uniformly distributed measurement sections and at three evaluation sections. The distance between the two outermost measurement sections was 600 mm, corresponding to 1)12 wavelengths at the upper end of the frequency interval 2}500 Hz considered. Bending moments and transverse velocities evaluated agreed well with those measured at evaluation sections located centrally among the measurement sections and at a distance of 100 mm, or 0)16 wavelengths, outside. At a distance of 500 mm, or 0)82 wavelengths, outside the measurement sections, there was a relatively large disagreement related to a high condition number of a matrix.