Single Degree-of-Freedom Problem

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The discussion focuses on calculating the natural frequency and period of a single-degree-of-freedom frame structure, specifically a 3 m high, 8 m wide frame with a 5,000 kg beam and negligible mass columns. The calculated natural frequency is 4.502 Hz, the period is 0.222 seconds, and the force required to deflect the frame 25 mm laterally is 100 kN. Participants seek clarification on deriving the stiffness (k) from the provided values and express frustration over the lack of context, such as a drawing of the frame. The importance of adhering to forum guidelines and using the correct template for posting is emphasized. Clear communication and context are essential for effective problem-solving in structural analysis discussions.
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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.
 
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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.
 
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 ?
 

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