I would like to know how to calculate the fundamental resonant frequency (flexural) of a round cantilever (cylinder clamped at one end, free on other).
Please provide formula and units of variables as well as an example using the following data:
Cylinder: Ø=2mm, L=20mm
Material: Spring steel (see below)
Young's modulus is 210000 MPa
Density is 7850 kg/m³
(More properties available at http://www.matbase.com/material-categories/metals/ferrous-metals/spring-steel/material-properties-of-67sicr5-din-17221-spring-steel-grade.html#properties