Question 8.P.9: The single story building shown in Figure P8.9 is subjected ...
The single story building shown in Figure P8.9 is subjected to a blast load whose effect can be represented by a story level lateral force as indicated. The total lateral stiffness of the building is 14 kips/in and the floor deck mass is 0.1 kip ·s²/in · Obtain the displacement response history for the first 0.5 s by a numerical integration of the Duhamel’s integral.
Use a time step of 0.05 s and the trapezoidal method of integration.
The applied load is 50\left(e^{-4 t}-e^{-8 t}\right). The exact solution for zero initial conditions is: u=-0.754 \cos \omega t-0.574 \sin \omega t+3.205 e^{-4 t}-2.451 e^{-8 t}. This solution can be used to compare the results obtained.
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