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steel beam vibration

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Listers,
Any resources on checking a HSS member that is a stair stringer for vibration/bounce?
 
It is not a deflection issue, it is when once person is on the stair they notice "bounce" ?
 
Also, ideas on how to take this away, adding a column near mid span is an option. Total diagonal length is 33ft.
 
Please CC me directly in addition to the list.

Regards,
Andrew
 
Andrew Kester, PE
ADK Structural Engineering, PLLC
Lake Mary, FL
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