A water tank on a column has a mass of 4000 kg. The supporting column is assumed to be massless and has a stiffness of 30,000 N/m. If the system is under free vibration where initial displacement is 15 mm and the initial velocity is 20 mm/s, Determine the following: Equation of motion Natural Angular Frequency Natural Period Natural Cyclic Frequency Displacement of the system after 2 seconds

A water tank on a column has a mass of 4000 kg. The supporting column is assumed to be massless and has a stiffness of 30,000 N/m. If the system is under free vibration where initial displacement is 15 mm and the initial velocity is 20 mm/s, Determine the following: Equation of motion Natural Angular Frequency Natural Period Natural Cyclic Frequency Displacement of the system after 2 seconds

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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