Question: Problem 1 : A simplified building is shown in the diagram below. The foundation is modeled by two springs as shown. Assume that the foundation

Problem

1

A simplified building is shown in the diagram below. The foundation is modeled by two

springs as shown. Assume that the foundation is constrained against vertical and horizontal

motion

(

as shown by the pin

) .

Derive the equation of motion for the system. Assume the

building can be modeled as a flat plate with mass per unit area of

.

Assume small

deformations.A simplified building is shown in the diagram below. The foundation is modeled by two springs as shown. Assume that the foundation is constrained against vertical and horizontal motion

(

as shown by the pin

) .

Derive the equation of motion for the system. Assume the building can be modeled as a flat plate with mass per unit area of

\

gamma

.

Assume small deformations.

Problem 1 : A simplified building is shown in the

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