Sure.
Best way, to be honest, is FEA, but if it is a single span uniform beam supported at each end then the first mode is given by
f=1/2/pi*A*sqrt(E*I/mu/L^4) Hz
For simply supported A=9.81, for fixed fixed A=22.4
mu=mass per unit length
All units are consistent.
The book you need is by Robert D Blevins
Cheers
Greg Locock
Please see FAQ731-376 for tips on how to make the best use of Eng-Tips.