# Effects of Diagonal Friction Dampers on Behavior of a Building
## 4 Results and Discussion
### Comparison of Base and Floor Shear Forces  
The story shear forces formed on each of the floors due to the effects of the three different earthquakes were obtained. Similar to the displacement values, the highest story shear force values occurred due to the Kobe, Imperial Valley, and Kocaeli earthquakes' effects, respectively (Table 7, Figure 11). \begin{table}
\begin{tabular}{l c c c c c} \hline \hline  & \multicolumn{3}{c}{**Image Shear Force (N)**} \\ \hline  & **Reference** & **1** & **2** & **3** & **4** & **5** \\  & **FD** & **FD\({}_{-}\)** & **FD\({}_{-}\)** & **FD\({}_{-}\)** & **FD** & **FD** & **FD** & **FD** & **FD** \\ \hline Kocaeli & 200.5 & 35.30 & 195.8 & 214.6 & 210.7 & 216.6 & 35.4 & 37.3 & 51.0 & 200.9 & 213.5 & 229.1 & 228.6 & 224.2 & 53.3 & 60.3 \\ Imperial Valley & 428.1 & 199.3 & 415.2 & 375.9 & 419.5 & 547.4 & 146.4 & 149.1 & 202.9 & 324.9 & 408.1 & 385.9 & 381.6 & 518.6 & 167.6 & 172.4 \\ Kobe & 616.5 & 319.0 & 520.7 & 559.6 & 592.5 & 607.4 & 235.8 & 284.9 & 284.9 & 471.7 & 473.6 & 531.5 & 538.8 & 606.0 & 288.7 & 157.4 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Base shear forces in different configurations. \begin{table}
\begin{tabular}{l c c c c c c c c c c c c} \hline \hline  & \multicolumn{3}{c}{**Imageal Valley**} & \multicolumn{3}{c}{**Kobe**} & \multicolumn{3}{c}{**Kocaeli**} \\ \cline{3-12}  & **Roo** & **Displacement** & **Roo** & **Displacement** & **Roo** & **Displacement** & **Roo** & **Displacement** & **Roo** & **Displacement** \\
**Configuration** & **Displacement** & **Roo** & **(\%)** & **(mm)** & **(\%)** & **(\%)** & **(mm)** & **(mm)** & **(\%)** & **(\%)** \\ \hline Reference & 16.53 & - & 23.30 & - & 7.00 & - \\
1-FD & 10.21 & \(-\)38.23 & 13.60 & \(-\)41.63 & 4.70 & \(-\)32.86 \\
2-FD & 12.21 & \(-\)26.13 & 15.90 & \(-\)31.76 & 5.30 & \(-\)24.29 \\
3-FD & 12.46 & \(-\)24.62 & 19.60 & \(-\)15.88 & 5.90 & \(-\)15.71 \\
4-FD & 14.53 & \(-\)12.10 & 21.20 & \(-\)9.01 & 6.65 & \(-\)5.00 \\
5-FD & 20.66 & 24.98 & 23.80 & 2.15 & 7.30 & 4.29 \\
1-2 FD & 7.80 & \(-\)52.81 & 8.80 & \(-\)62.23 & 2.80 & \(-\)60.00 \\
1-3 FD & 7.28 & \(-\)55.96 & 10.75 & \(-\)53.86 & 3.50 & \(-\)50.00 \\
1-5 FD & 10.81 & \(-\)34.60 & 14.20 & \(-\)39.06 & 4.90 & \(-\)30.00 \\
1-3 FD & 7.29 & \(-\)55.90 & 11.50 & \(-\)50.64 & 3.35 & \(-\)52.14 \\
2-3 FD & 7.85 & \(-\)52.51 & 12.40 & \(-\)46.78 & 4.10 & \(-\)41.43 \\
2-4 FD & 10.93 & \(-\)33.88 & 14.40 & \(-\)38.20 & 4.55 & \(-\)35.00 \\
3-4 FD & 11.48 & \(-\)30.55 & 16.50 & \(-\)29.18 & 5.40 & \(-\)22.86 \\
3-5 FD & 12.18 & \(-\)26.32 & 18.50 & \(-\)20.60 & 6.05 & \(-\)13.57 \\
4-5 FD & 18.14 & 9.74 & 21.55 & \(-\)7.51 & 6.85 & \(-\)21.4 \\ Full-FD & 4.28 & \(-\)74.11 & 3.83 & \(-\)83.56 & 1.10 & \(-\)84.29 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Peak roof displacements of buildings under the effect of different earthquakes. The first floor's shear force in the Reference building in the Kobe earthquake was three times that of the Kocaeli earthquake. In the Imperial Valley earthquake, the shear effect was twice as great as that of the Kocaeli earthquake. The acceleration spectra in the building period (0.27 s) confirm this result. When the frictional damping effects were examined, the maximum shear force reduction in the Imperial Valley earthquake was obtained in the  
Figure 11: Floors’ shear forces. (**a**) Configurations base shear forces. (**b**) 2 nd floor shear forces. (**c**) 3 rd floor shear forces. (**d**) 4 th floor shear forces. (**e**) 5 th floor shear forces. 1-2 FD, 1-3 FD, 1-3-5 FD, Full FD, 1-FD, and 1-5 FD configurations. The reduction rates varied between 50 and 65%. The highest reduction was obtained in the Full FD, 1-2 FD, 1-3 FD, 1-5 FD, 1-3-5 FD, and 1-FD configurations in the Kobe earthquake. The percentage decrease varied between 62 and 48%. In the Kocaeli earthquake, rates were 82.4%, 82.3%, 81.4%, 74.6%, 73.4%, and 70% in 1-FD, 1-2 FD, 1-3 FD, 1-5 FD, 1-3-5 FD, and the full FD configurations, respectively. The first floor shear effect was reduced (Table 7, Figure 11a).