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I´ve tried to calculate the vibration modes of beam in the space, without gravity or any other force.

The forumle of the beam is this one: Cos(λL)*Cosh(λL)=1 from which I´ve calculate the roots and the resonance.

I´ve found a programme for Matlab that calculates the vibrations modes if you enter the mass and stiffness matrix but it´s here where I´m facing some troubles. I don´t know how to build the stiffnes matrix of this beam.

For the mass matrix I´m going to use this methog. Do you know if it´s going to work properly?

I´ve all the dimensions, density and the young´s modulus of the material (steel).

Thanks in advance.