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In this paper the equations of static equilibrium, the governing differential equation of shear and flexural vibrations of straight bars with variable cross-section are written in the form of unified self-conjugate differential equations of the second-order. These can be reduced to Bessel's equations. Based on an experimental study, the Guangzhou Hotel Building (27 stories) is treated as a cantilever beam of non-uniform section in free vibration analysis. The computed value of the natural frequency obtained by use of the proposed method of this paper approaches the measured value.