Determining Elastic Properties of Concrete Using Vibrational Resonance Frequencies of Standard Test Cylinders

© 2000 by the American Society for Testing and MaterialsREFERENCE: Kolluru S. V., Popovics, J. S., and Shah, S. P.,“Determining Elastic Properties of Concrete Using VibrationalResonance Frequencies of Standard Test Cylinders,”Cement,Concrete, and Aggregates,CCAGDP, Vol. 22, No. 2, December2000, pp. 81–89.ABSTRACT: A technique for determining the elastic materialconstants of a concrete test cylinder from longitudinal resonancefrequencies is proposed in this paper. The proposed technique per-mits calculation of both the material constants (E and m) from onerelatively simple measurement. The formulation is based on an ac-curate three-dimensional vibration analysis of intermediate lengthcylinders using the Rayleigh-Ritz method. First, the test procedureis described and an illustrative example is given. The accuracy ofthe method is then verified through tests on steel and aluminumcylinders. Test results from concrete cylinders are then presented. Afavorable comparison between the values of the elastic moduluspredicted by the proposed technique, the standard ASTM test pro-cedure and direct mechanical measurement is shown.KEYWORDS: concrete, resonance, vibration, cylinder, modulus,elastic constants