Single Degree-of-Freedom Problem

[aminbpy]

1.A 3 m high, 8 m wide single-bay single-storey frame is rigidly jointed with a
beam of mass 5,000 kg and columns of negligible mass and stiffness of EIc =
4.5×103 kNm2. Calculate the natural frequency in lateral vibration and its
period. Find the force required to deflect the frame 25 mm laterally.
Ans: 4.502 Hz; 0.222 sec; 100kn.



ƒ=(1/2π)*(√(k/m)

How can I get the k from given values.

 

[BvU]

Hope you don't post any more exercises under this same name.
Welcome to PF and please use the template. If you don't understand why, read the guidelines.

 

[BvU]

I can imagine a zillion of ways to connect s-b s-f frames with a beam and unknown number of columns. What is it we are talking about ? Were you provided with a drawing of the thing ?