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How to evaluate spring stiffness of exisiting steel structure?

How to evaluate spring stiffness of exisiting steel structure?

How to evaluate spring stiffness of exisiting steel structure?

(OP)
My project involves to build a new steel structure for an elevator which will be attached to the existing structure. Each node which will be attached I would like to model it as a spring. But how do you evaluate the stiffness of an existing structure ? If I design my structure without any attachment, it will sway a lot because its very narrow and high. Any suggestions? (see image)

Thank you,

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