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Natural Frequencies to Traverse Vibrations

Fundamental Natural Frequencies of Beams (bending) and Shafts (Torsion) The values for natural frequencies relate to cycle/unit time.  The higher harmonic modes are not listed.  To obtain values for wn in radians/s multiply values by 2.p. Cantilevered Beam Mode 1 2 3 4 K 3,52 22,0 61,7 121 Simply Supported Beam Mode 1 2 3 4 K 9,87 39,5 88,8 158 Beam with fixed ends Mode 1 2 3 4 K 22,4 61,7 121,0 200 Beam with one end fixed and one end Simply Supported Mode 1 2 3 4 K 15,4 50 104 178 Mass on Cantilever beam Note: Assume beam of negligible mass Central mass on Simply supported beam Note: Assume beam of negligible mass Mass on Simply supported beam. Off-Centre Note: Assume beam of negligible mass Multiple Mass on beam Formula for Combined Loading Mass on Cantilevered Shaft In Torsion Note: Assume shaft of negligible mass Shaft with mass at both ends Note: Assume shaft of negligible mass

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Last Updated 02/05/2007