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If you know the natural frequency and the mass of the load and beam... k=Wn^2*m (where k=stiffness, Wn=natural frequency, m=total mass) If the beam's mass is not negligable then the total mass is... m= m(load)+1/4m(beam) I'm wondering if this link might help you ;-) http://www.vibrationdata.com/StructuralDC.htm Here is a paper that solves a problem by studying the Cantilever Beam. A few pages into this paper, it has the mathmetical expressions for its the first 3 vibration modes and frequencies. http://faculty.uml.edu/pavitabile/22.403/web_downloads/Final_Project_Cantilever_101806.pdf One more link: http://www.kxcad.net/RecurDyn/RecurDyn_Ver6.3/programmanual/Eigenvalue_Analysis/Application/Cantilever_Beam/Cantilever_Beam.htm

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Is Natural frequency and Resonance of a Cantilever Beam will be same?

No, the natural frequency and resonance frequency of a cantilever beam are not necessarily the same. The natural frequency is the frequency at which a system oscillates without any external forces, while the resonance frequency is the frequency at which a system is most responsive to external forces. In a cantilever beam, the resonance frequency is typically higher than the natural frequency.


First three natural frequencies of vibration of a cantilever beam?

3


What is the point of a cantilever beam?

a cantilever beam is designed to evenly distribute weight


Difference between determinate and indeterminate structures?

determinate structures are analysed by using equation of equilibrium or statics ie.., EV=0,EH=O,EM=0. EXAMPLE: simply supported beam ,cantilever beam,single or double over hanging beam. indeterminate beams are not capable of being analysed by using equation of statics. along with equation of statics we need some conditions for finding the unknowns. Example : fixed beam, propped cantilever beam, and continuous beam


What is the max length of cantilever beam?

1.50 meter from the support is the max. safe length cantilever beam


What are the uses of cantilever beams in real life?

A cantilever beam is often used for making balconies in residential architecture. A cantilever beam is a beam that is supported only one of its ends while the open end can support a certain weight.


What is the moment of inertia formula for a cantilever beam?

The moment of inertia formula for a cantilever beam is I (1/3) b h3, where I is the moment of inertia, b is the width of the beam, and h is the height of the beam.


What is the support reaction at prop for a propped cantilever beam subjected to uniformly distributed load?

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What are the factors that influence the stiffness of a cantilever beam?

The factors that influence the stiffness of a cantilever beam include the material properties, cross-sectional shape, length, and boundary conditions of the beam.


What are the types of beams in an aircraft?

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Will a cantilever slab have beam at its free end?

no


What is the formula for calculating the moment of inertia of a cantilever beam?

The formula for calculating the moment of inertia of a cantilever beam is I (1/3) b h3, where I is the moment of inertia, b is the width of the beam, and h is the height of the beam.