Natural Frequency of Single-Span Beam with Constant Load

Natural frequency of a single-span beam with constant load

f_{e} = \frac{π}{2 \cdot l^{2}} \cdot \sqrt{\frac{EI}{m}} \Rightarrow \frac{EI}{m \cdot l^{4}} = \frac{f_{e}^{2} \cdot 4}{π^{2}}

f_e	Natural frequency
l	Length of the beam
EI	Bending stiffness of the beam
m	Modal mass

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