Question 8.P.11: Obtain the response of the structure in Problem 8.9 by the a...
Obtain the response of the structure in Problem 8.9 by the average acceleration method. Assume that damping is 10% of critical and use a time step of 0.05 s.
\begin{array}{lccrrrccr} \hline n & \text { Time } & u_n & {\dot{u}_n} & {\ddot{u}_n} & p_{n+1} & u_{n+1} & \dot{u}_{n+1} & {\ddot{u}_{n+1}} \\\hline 0 & 0.00 & 0.0000 & 0.0000 & 0.000 & 7.4 & 0.0403 & 1.6134 & 66.536 \\1 & 0.05 & 0.0403 & 1.6134 & 66.536 & 11.0 & 0.2048 & 4.9661 & 69.575 \\2 & 0.10 & 0.2048 & 4.9667 & 69.575 & 12.4 & 0.5176 & 7.5470 & 33.673 \\3 & 0.15 & 0.5176 & 7.5470 & 33.673 & 12.4 & 0.9029 & 7.8631 & -21.010 \\4 & 0.20 & 0.9029 & 7.8631 & -21.010 & 11.6 & 1.2388 & 5.5720 & -70.612 \\5 & 0.25 & 1.2388 & 5.5720 & -70.612 & 10.1 & 1.4109 & 1.3149 & -99.644 \\6 & 0.30 & 1.4109 & 1.3149 & -99.644 & 9.3 & 1.3587 & -3.4058 & -89.156 \\7 & 0.35 & 1.3587 & -3.4058 & -89.156 & 8.1 & 1.0976 & -7.0358 & -56.022 \\8 & 0.40 & 1.0976 & -7.0358 & -56.022 & 6.9 & 0.7051 & -8.6668 & -9.204 \\9 & 0.45 & 0.7051 & -8.6668 & -9.204 & 5.9 & 0.2893 & -7.9636 & 37.339 \\10 & 0.50 & 0.2893 & -7.9636 & 37.339 & & & & \\ \hline \end{array}