\section{Given data} Number of storeys = 4
\section{Mass}
\[
\begin{bmatrix*}[r]
 8.0000e+00 &  0.0000e+00 &  0.0000e+00 &  0.0000e+00 \\ 
 0.0000e+00 &  8.0000e+00 &  0.0000e+00 &  0.0000e+00 \\ 
 0.0000e+00 &  0.0000e+00 &  4.0000e+00 &  0.0000e+00 \\ 
 0.0000e+00 &  0.0000e+00 &  0.0000e+00 &  4.0000e+00 \\ 
\end{bmatrix*}
\]
\section{Stiffness matrix}
\[
\begin{bmatrix*}[r]
 1.8000e+03 &  -8.0000e+02 &  0.0000e+00 &  0.0000e+00 \\ 
 -8.0000e+02 &  1.4000e+03 &  -6.0000e+02 &  0.0000e+00 \\ 
 0.0000e+00 &  -6.0000e+02 &  1.2000e+03 &  -6.0000e+02 \\ 
 0.0000e+00 &  0.0000e+00 &  -6.0000e+02 &  6.0000e+02 \\ 
\end{bmatrix*}
\]
\section{Eigen vector}
\[
\begin{bmatrix*}[r]
 -9.1441e-02 &  1.8481e-01 &  2.7904e-01 &  -6.7962e-02 \\ 
 -1.8720e-01 &  2.0735e-01 &  -1.6423e-01 &  1.4140e-01 \\ 
 -2.6424e-01 &  -7.4460e-02 &  -1.3371e-01 &  -3.9592e-01 \\ 
 -3.0556e-01 &  -3.0027e-01 &  1.4983e-01 &  2.0981e-01 \\ 
\end{bmatrix*}
\]
\section{Omega square}
\[
\begin{bmatrix*}[r]
 2.0283e+01 &  0.0000e+00 &  0.0000e+00 &  0.0000e+00 \\ 
 0.0000e+00 &  1.1280e+02 &  0.0000e+00 &  0.0000e+00 \\ 
 0.0000e+00 &  0.0000e+00 &  2.8385e+02 &  0.0000e+00 \\ 
 0.0000e+00 &  0.0000e+00 &  0.0000e+00 &  4.3306e+02 \\ 
\end{bmatrix*}
\]
\section{Frequency}
\[
\begin{Bmatrix*}[r]
 4.5036e+00 \\ 
 1.0621e+01 \\ 
 1.6848e+01 \\ 
 2.0810e+01 \\ 
\end{Bmatrix*}
\]
\section{Time periods}
\[
\begin{Bmatrix*}[r]
 1.3951e+00 \\ 
 5.9159e-01 \\ 
 3.7293e-01 \\ 
 3.0193e-01 \\ 
\end{Bmatrix*}
\]
\section{Level floor}
\[
\begin{Bmatrix*}[r]
 4.0000e+00 \\ 
 8.0000e+00 \\ 
 1.2000e+01 \\ 
 1.6000e+01 \\ 
\end{Bmatrix*}
\]
\section{Modal participation factor}
\[
\begin{Bmatrix*}[r]
 -4.5083e+00 \\ 
 1.6383e+00 \\ 
 9.8306e-01 \\ 
 -1.5693e-01 \\ 
\end{Bmatrix*}
\]
 
g = 9.81
\section{Modal mass}
\[
\begin{Bmatrix*}[r]
 2.0325e+01 \\ 
 2.6841e+00 \\ 
 9.6641e-01 \\ 
 2.4628e-02 \\ 
\end{Bmatrix*}
\]
\section{Modal contribution}
\[
\begin{Bmatrix*}[r]
 8.4687e+01 \\ 
 1.1184e+01 \\ 
 4.0267e+00 \\ 
 1.0262e-01 \\ 
\end{Bmatrix*}
\]
Modal Contribution of 95.871 \% for 2 number of modes 
 
Modes Considered 4
\section{Sa by g}
\[
\begin{Bmatrix*}[r]
 7.1678e-01 \\ 
 1.6904e+00 \\ 
 2.5000e+00 \\ 
 2.5000e+00 \\ 
\end{Bmatrix*}
\]
\section{A h}
\[
\begin{Bmatrix*}[r]
 1.7203e-02 \\ 
 4.0569e-02 \\ 
 6.0000e-02 \\ 
 6.0000e-02 \\ 
\end{Bmatrix*}
\]
\section{Design lateral force}
\[
\begin{bmatrix*}[r]
 5.5656e-01 &  9.6398e-01 &  1.2917e+00 &  5.0222e-02 \\ 
 1.1394e+00 &  1.0815e+00 &  -7.6021e-01 &  -1.0449e-01 \\ 
 8.0416e-01 &  -1.9420e-01 &  -3.0946e-01 &  1.4629e-01 \\ 
 9.2990e-01 &  -7.8313e-01 &  3.4679e-01 &  -7.7521e-02 \\ 
\end{bmatrix*}
\]
\section{Peak shear force}
\[
\begin{bmatrix*}[r]
 3.4300e+00 &  1.0682e+00 &  5.6883e-01 &  1.4496e-02 \\ 
 2.8734e+00 &  1.0423e-01 &  -7.2288e-01 &  -3.5726e-02 \\ 
 1.7341e+00 &  -9.7732e-01 &  3.7331e-02 &  6.8767e-02 \\ 
 9.2990e-01 &  -7.8313e-01 &  3.4679e-01 &  -7.7521e-02 \\ 
\end{bmatrix*}
\]
\section{Storey shear force}
\[
\begin{bmatrix*}[r]
 5.0815e+00 &  3.6373e+00 &  0.0000e+00 \\ 
 3.7363e+00 &  2.9650e+00 &  0.0000e+00 \\ 
 2.8175e+00 &  1.9920e+00 &  0.0000e+00 \\ 
 2.1373e+00 &  1.2666e+00 &  0.0000e+00 \\ 
\end{bmatrix*}
\]
plotHangle =  1
