FINITE ELEMENT METHODS $($FEM$)$

Compute the first four natural frequencies of transverse vibration of a uniform beam for the following boundary conditions:

a$)$ S$-$S

b$)C-C$

c$)C-F$

d$)C-S$

$E=200000$MPa,$b=25{10}^{-3}m,h=10mm,=7\mathrm{.}85\frac{g}{c}{m}^3,L=20dm$