Understanding the concepts on Degrees of Freedom

Challange 3: Understanding the concepts on Degrees of Freedom

Question 1:

A five storey structure with 5 translational DOF is shown here. Each storey has mass ‘m’. The eigenvalue problem has been solved and the 5 periods of vibration T_n and their corresponding mode shapes, φ_n has been derived.

Solution:

There Fore The Value of Base Shear of the Given Structure is 1.061