$(3)$ Determine horizontal displacement for the given steel shear frame structure with no damping, due to following periodic horizontal force function. Force function is given by;

$f(t)=fo.Sln(\frac{2t}{To})$ for $f(t)=0f_0=5kNlchd(g)=5K\frac{n}{m}{T}_0=10s,dt=0\mathrm{.}01s=6E6m{m}^4,E=200$GPa$=10m=10m$ for $\frac{To}{2}$

with $f_0=5kN,$ uniformly distributed $lchd(g)=5K\frac{n}{m},T_0=10s,dt=0\mathrm{.}01s,$ Istory $=6E6m{m}^4,E=200$GPa, height $of$ column $=10m$ and span $of$ the beam $=10m.(Any$ numerical integration method can $be$ used.$)0$ and

$f(t)=0$

for $\frac{To}{2}$

with $f_0=5kN,$ uniformly distributed $lchd(g)=5K\frac{n}{m},T_0=10s,dt=0\mathrm{.}01s,$ Istory $=6E6m{m}^4,E=200$GPa, height $of$ column $=10m$ and span $of$ the beam $=10m.(Any$ numerical integration method can $be$ used.$)$