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# Natural frequency of high rise building

## Natural frequency of high rise building

(OP)
Hi all,

To estimate the natural frequency of a tall structure, literature suggest to use the formula 46/H.

This is a general formula derived from tests on real structures. This formula is valid for structure which have been designed to perform under service and ultimate loads.

When I'm undertaking a preliminary design and I'm checking if the core structure is big enough i need to calculate the period based on the size of the core (which might be too small) and on the square root of k\m

Does anyone know a formula to work out the natural frequency of a tall structure simply base on mass and stiffness?

Regards

### RE: Natural frequency of high rise building

you can use Rayleigh's equation:

see page 8 of the pdf for the equation. It does require an analysis to see deflection of the structure under lateral loads.

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