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 Tn and their corresponding mode shapes, φn has been derived.
ans: the given all elements are derived ,
Note:due to the problems having mathematical answers there is scope for paperwork so that's why I used the paper worlk.
we can see the results of respected columns.
result: so testing proves the first two readings are sufficient the building has approximately 90% values of shear force came here so we have suffient base shear.