Related Resources: vibration

Beam Fixed Ends Center Load Applied Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

Beam Fixed Ends Center Load Applied Angular Natural Frequency Equations and Calculator

Beam Fixed Ends Center Load Applied Angular Natural Frequency Equations and Calculator

ωn = 8 [ ( 3 E I ) / ( m l3 ) ](1/2)

Where:

m = Mass of Load ( lbf-sec2 / in )
l = Length of Beam ( in ),
I = Area Moment of Inertia of Beam Cross Section ( in4 )
E = Young's Modulus ( Lb / in2 ),
ωn = Angular Natural Frequency ( rad / sec )

Note: 1 ( lbf-sec2 / Ft ) = 1 Slug

1 ( lbf-sec2 / in ) = 12 ( lbf-sec2 / Ft ) or 1 ( lbf-sec2 / Ft ) = 0.08333 ( lbf-sec2 / in )

Related and Useful:

Reference Harris, Shock and Vibration Handbook

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