- #1
hks118
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Homework Statement
I am trying to calculate the natural frequency of a steel beam.
Homework Equations
I=1/12*W*T^3
Volume= T*W*L
M0=V*ρ
K=(3EI/L^3)
Meff=(33/140)*M0+Mend
ωn=√(k/Meff)
The Attempt at a Solution
This should be a simple plug and chug problem but I can't see what I'm doing wrong.
L=0.4572m
W=0.026035m
T=0.006223m
E= 3*10^6
ρ=7850kg/m^3
Mend=.025kg
I=5.22848E-10
V=7.41E-05 m^3
M0=5.81E-01
K=0.049237907
Meff=2.43E-01
ωn=0.450088787 Hz
But this is way off from my experimental value of around 20Hz. Everything is in kg and m.