## 3 Results  
The results were related to the tests of 20 samples (cores), obtained from 10 sandstone stones taken from the ruins of the St. Agostino church in Amatrice. The cores were named by the letter C, followed by the number of the stone from which they were extracted, and by the letter A and B, which indicated the first and second extraction. Table 1 summarized the experimental results, comparing the cylindrical compression strength (\(f_{c}\)) with the different values of the elastic modulus: static modulus (\(E_{s}\)) by the secant line of the \(f_{c}\) - \(\varepsilon\) diagram during the compression test and by impact tests; and speed waves (\(v\)) and dynamic modulus (\(E_{d}\)) obtained by ultrasonic tests. The compressive mean strength and the mean strain recorded at peak stress were of 125.2 MPa and 3143 \(\upmu\)m/m, respectively. The \(f_{c}\) - \(\varepsilon\) diagrams (Figure 7) highlighted an expected dispersion of the results due to the anisotropy of material, most likely accentuated by any internal microcracks that the stones of masonry walls may have undergone during the collapse. The Gauss distribution of cylindrical compression strength (\(f_{c}\)), elastic secant and dynamic modulus (\(Es\), \(Ed\)) of each stone specimen were evaluated in Figures 8-10. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**Compression Test**} & \multicolumn{2}{c}{
\begin{tabular}{c} **Impact** \\ **Test** \\ \end{tabular} } & \multicolumn{2}{c}{**Ultrasonic Test**} \\ \hline
**Specimen** & \multicolumn{2}{c}{\(f_{c}\) **(MPa)**} & \multicolumn{2}{c}{\(E_{s}\) **(Mpa)**} & \(E_{s}\) **(Mpa)**} & \(E_{d}\) **(MPa)** & \(v\) **(m/s)** \\ \hline C\_01\_A & 65.2 & \multirow{2}{*}{75.45} & 23,866 & 25,624 & 27,605 & 28,850 & 3542 \\ C\_01\_B & 85.7 & & 27,382 & 25,624 & 27,605 & 28,850 & 3542 \\ \hline C\_02\_A & 146.5 & \multirow{2}{*}{147.90} & 35,083 & 37,787 & 36,435 & 41,722 & 45,140 & 4367 \\ C\_02\_B & 149.3 & & 37,055 & 32,096 & 27,760 & 27,498 & 25,831 & 3343 \\ \hline C\_03\_A & 106.7 & \multirow{2}{*}{87.05} & 32,096 & 27,60 & 27,498 & 25,831 & 3343 \\ C\_03\_B & 67.4 & & 23,425 & 27,60 & 27,498 & 25,831 & 3343 \\ \hline C\_04\_A & 150.2 & \multirow{2}{*}{167.60} & 35,670 & 35,670 & 35,616 & 33,124 & 44,859 & 4370 \\ C\_04\_B & 185.0 & & 35,562 & 20,86 & 24,412 & 13,163 & 15,527 & 2593 \\ \hline C\_05\_A & 85.9 & \multirow{2}{*}{80.90} & 28,538 & 24,412 & 13,163 & 15,527 & 2593 \\ C\_05\_B & 75.9 & & 209,286 & 24,412 & 13,163 & 15,527 & 2593 \\ \hline C\_06\_A & 209.4 & \multirow{2}{*}{180.85} & 57,168 & 43,183 & 50,175 & 42,869 & 36,627 & 3943 \\ C\_06\_B & 152.3 & & 317.45 & 40,919 & 28,807 & 34,863 & 19,425 & 32,719 & 3730 \\ \hline C\_07\_A & 113.8 & \multirow{2}{*}{112.90} & 34,521 & 34,521 & 34,843 & 23,171 & 37,084 & 4010 \\ C\_08\_B & 112.0 & & 35,164 & 35,788 & 38,139 & 36,963 & 52,540 & 43,872 & 4347 \\ \hline C\_09\_A & 139.3 & \multirow{2}{*}{143.8} & \multirow{2}{*}{141.55} & 40,605 & 43,894 & 42,249 & 40,088 & 43,318 & 4297 \\ C\_09\_B & 143.6 & & 37,055 & 34,894 & **32,121** & **35,383** & **3584** \\ \hline
**Average** & \multicolumn{2}{c}{**125.2**} & \multicolumn{2}{c}{**34,894**} & **32,121** & **35,383** & **3584** \\ \hline _St. dev._ & \multicolumn{2}{c}{37.0} & \multicolumn{2}{c}{_7359_} & 11,539 & 9272 & _544_ \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Results of laboratory tests correlated to non-destructive tests. Figure 8: Gauss distribution of cylindrical compression strength of stone cores. Figure 7: \(f_{c}\) - \(\varepsilon\) diagrams of compression tests. Figure 9: Gauss distribution of elastic secant modulus of stone cores.