t a given site 10m clay layer of shear wave velocity(Vs) = 450 m/s and density 1600 kg/m3 is lying over a deep weathered rock layer shear wave velocity(Vs) = 750 m/s and density is 2240 kg/m3. A harmonic shear wave which causes displacement of the form Ae^(iwt - kx) is propagating vertically from the rock layer to the clay layer. If the stress amplitude of the incident wave is 200 kPa and frequency is 2 Hz, determine the stress and displacement amplitudes of the reflected and transmitted waves at the boundary.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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At a given site 10m clay layer of shear wave velocity(Vs) = 450 m/s and density 1600 kg/m3 is lying over a deep weathered rock layer shear wave velocity(Vs) = 750 m/s and density is 2240 kg/m3. A harmonic shear wave which causes displacement of the form Ae^(iwt - kx) is propagating vertically from the rock layer to the clay layer. If the stress amplitude of the incident wave is 200 kPa and frequency is 2 Hz, determine the stress and displacement amplitudes of the reflected and transmitted waves at the boundary.

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