Question 2: A one-story shear building with an appendage attached to its top is subject to a horizontal ground motion y;(t), as shown in Figure Q2. The girder of the building is assumed to be rigid and the columns are assumed to be massless. The appendage is modelled as a lumped mass system of one degree of freedom. The structural damping is neglected. El = 600 x 10°N - m², Elz = 400 x 10°N - m² (a) Derive the equation of motion for the system in terms of the absolute displacement as well as the relative displacements u = y1 – Ya and uz = y2 - Ys- m2 = 5000kg El. y: m, = 20000kg El El.

Question 2: A one-story shear building with an appendage attached to its top is subject to a horizontal ground motion y;(t), as shown in Figure Q2. The girder of the building is assumed to be rigid and the columns are assumed to be massless. The appendage is modelled as a lumped mass system of one degree of freedom. The structural damping is neglected. El = 600 x 10°N - m², Elz = 400 x 10°N - m² (a) Derive the equation of motion for the system in terms of the absolute displacement as well as the relative displacements u = y1 – Ya and uz = y2 - Ys- m2 = 5000kg El. y: m, = 20000kg El El.

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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