3. A civil engineering structure of mass m = 5000 kg and stiffness k= 720 kN/m is excited by a square pulse of force shown in Figure Q.3. force 2 kN time 0.2s Figure Q.3. (a) Using Duhamel's integral determine the displacement and velocity of the mass at the end of pulse. Note; the undamped impulse is given by: h(t)=sin (ot). ma, (b) Then using the following equation for free vibration find the displacement of the mass at t=04 s: x(1) = Asin (@,(1-02)) + Bcos(@,(t-02))

3. A civil engineering structure of mass m = 5000 kg and stiffness k= 720 kN/m is excited by a square pulse of force shown in Figure Q.3. force 2 kN time 0.2s Figure Q.3. (a) Using Duhamel's integral determine the displacement and velocity of the mass at the end of pulse. Note; the undamped impulse is given by: h(t)=sin (ot). ma, (b) Then using the following equation for free vibration find the displacement of the mass at t=04 s: x(1) = Asin (@,(1-02)) + Bcos(@,(t-02))

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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