# Application of Direct Shear Test to Analysis of the Rate of Soil Improvement with Polyester Fibres
## 3 Results
### Improvement of Soil Shear Strength Parameters
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c} \hline \hline \multirow{3}{*}{**Soll**} & \multirow{3}{*}{**Case**} & \multirow{3}{*}{**Fibre**} & \multirow{3}{*}{**Parameters**} & \multirow{3}{*}{**R-Value**} & \multicolumn{6}{c}{**Expanded Uncertainty**} \\ \cline{5-16}  & & & & \multicolumn{2}{c}{**Variance**} & & \multicolumn{2}{c}{**Without Covariance (A)**} & \multicolumn{2}{c}{**With Covariance (B)**} & \multicolumn{2}{c}{**W worst-Case (C)**} \\ \cline{5-16}  & & & \(\mathbf{\varphi}\) & \(\mathbf{c}\) & & \multicolumn{2}{c}{**U(\(\mathbf{\varphi}\))**} & \multicolumn{2}{c}{**U(\(\mathbf{\varphi}\))**} & \multicolumn{2}{c}{**U(\(\mathbf{\varphi}\))**} & \multicolumn{2}{c}{**U(\(\mathbf{\varphi}\))**} & \multicolumn{2}{c}{**U(\(\mathbf{\varphi}\))**} & \multicolumn{2}{c}{**U(\(\mathbf{\varphi}\))**} \\ \cline{5-16}  & & & **(\%)** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{kPa}\))** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{kPa}\))** & **(\%)** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{kPa}\))** & **(\%)** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{\zeta}\))** & **(\(\mathbf{kPa}\))** & **(\%)** \\ \hline CI (4 & & & 0.0 & 32.019 & 57.158 & 0.99725 & 0.524 & 1.64 & 1.603 & 2.81 & 0.520 & 1.62 & 1.604 & 2.81 & 0.052 & 3.29 & 5.593 & 6.29 \\ specimens, No. & 1, & 0.5 & 30.026 & 65.141 & 0.99966 & 0.534 & 1.75 & 1.619 & 2.48 & 0.528 & 1.73 & 1.620 & 2.49 & 1.070 & 3.51 & 3.631 & 5.57 \\
1, 2, 3, and 4) & & 1.0 & 35.842 & 64.344 & 0.99266 & 0.542 & 1.51 & 1.811 & 2.82 & 0.540 & 5.15 & 1.820 & 2.83 & 1.086 & 3.03 & 4.190 & 6.51 \\  & & & 1.5 & 29.097 & 97.507 & 0.97594 & 0.596 & 2.05 & 1.896 & 1.894 & 0.586 & 2.01 & 1.914 & 1.96 & 1.212 & 4.17 & 4.227 & 4.34 \\ \hline CI (3 & & & 0.0 & 38.058 & 9.821 & 0.99305 & 0.734 & 2.38 & 1.741 & 2.91 & 0.722 & 2.34 & 1.720 & 2.88 & 1.296 & 4.20 & 3.745 & 6.26 \\ specimens, No. & 2 & 0.5 & 0.3753 & 64.578 & 0.99997 & 0.760 & 2.47 & 1.814 & 2.81 & 0.746 & 2.43 & 1.784 & 2.76 & 1.328 & 4.32 & 3.829 & 5.93 \\
1, 2, and 3) & & 1.0 & 39.758 & 53.869 & 0.99575 & 0.724 & 1.82 & 2.035 & 3.78 & 0.718 & 1.81 & 2.022 & 3.75 & 1.280 & 3.22 & 4.451 & 8.26 \\
1, 2, and 3) & & 1.5 & 33.803 & 86.668 & 0.9674 & 0.842 & 2.49 & 2.214 & 2.55 & 0.828 & 2.45 & 2.186 & 2.52 & 1.506 & 4.46 & 4.750 & 5.48 \\ \hline CI (3 & & & 0.0 & 31.3919 & 62.338 & 0.99644 & 0.738 & 2.37 & 3.030 & **4.86** & 0.728 & 2.34 & 2.994 & **4.50** & 1.268 & 4.07 & 6.092 & **9.72** \\ specimens; No. & 3 & 0.5 & 30.066 & 65.122 & 0.99994 & 0.736 & 2.41 & 2.997 & 4.60 & 0.728 & 2.39 & 2.968 & 4.56 & 1.254 & 4.11 & 6.129 & 4.41 \\
2, 3, and 4) & & 1.0 & 33.090 & 81.638 & 0.99675 & 0.794 & 2.40 & 3.454 & 4.23 & 0.784 & 2.37 & 3.422 & 4.19 & 1.368 & 4.13 & **7.105** & 8.70 \\
2, 3, and 4) & & 1.5 & 23.883 & 125.349 & 0.99942 & 0.908 & 3.80 & 3.559 & 2.84 & 0.876 & 3.67 & 3.66 & 2.77 & 1.502 & 6.29 & 6.749 & 5.38 \\ \hline \hline \end{tabular} Note: The authors are aware of the unsuitable introduction of values of shear strength parameters with 3 digits after the decimal in this and further tables. The underlying reason is the necessity of comparison since, in some cases, there will be no difference if 1 or 2 digits after the decimal is (are) applied, leading to misunderstandings. Specim No. 1 was loaded by normal stress of about 50 kPa; specimen No. 2 was loaded by normal stress of about 100 kPa; specimen No. 3 was loaded by normal stress of about 200 kPa; and specimen No. 4 was loaded by normal stress about of 300 kPa. The same is applied in further tables. In Tables 4-6, for every column, maximal absolute values are marked as underlined numbers, maximal relative values are marked as italic red underlined numbers, minimal absolute values are marked as blue underlined numbers, and minimal relative values are marked as italic blue underlined numbers. More information is introduced and commented in the paper.  
\end{table} 
Table 4: Shear strength parameters of soils and soils reinforced by fibres and their expanded uncertainty (soil CI).