A 3-story building sits atop several columns.  The top of the columns can only move 5.00 cm laterally with respect to the bottom before failing.  An earthquake tremor with a ground displacement of 0.750 cm induces resonance. If the natural period of the structure is 2.50 s and the tremor lasts 7.00 s, will the columns survive?  You will need to use : Δ x = π D t T D is the ground displacement, t is the tremor duration and T is the period of the structure.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A 3-story building sits atop several columns.  The top of the columns can only move 5.00 cm laterally with respect to the bottom before failing.  An earthquake tremor with a ground displacement of 0.750 cm induces resonance. If the natural period of the structure is 2.50 s and the tremor lasts 7.00 s, will the columns survive?  You will need to use :

Δ x = π D t T

D is the ground displacement, t is the tremor duration and T is the period of the structure. 

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