Wzory i obliczenia dla saCl

$$\rho_{d} = \frac{\rho}{1 + w} = \frac{1,95}{1 + 0,25} = 1,56\frac{g}{\text{cm}^{3}}$$

$$n = \frac{\rho_{s} - \rho_{d}}{\rho_{s}} = \frac{2,70 - 1,56}{2,70} = 0,42$$

$$e = \frac{\rho_{s} - \rho_{d}}{\rho_{d}} = \frac{2,70 - 1,56}{1,56} = 0,73$$

$$w_{\text{sr}} = \left( e*\frac{\rho_{w}}{\rho_{s}} \right)*100\% = \left( 0,73*\frac{1,00}{2,70} \right) = 27\%$$

$$S_{r} = \frac{w*\rho_{s}}{e*\rho_{w}} = \frac{0,25*2,70}{0,73*1} = 0,92$$

$$\gamma_{s} = \rho_{s}*g = 2,70*9,81 = 26,49\frac{\text{kN}}{m^{3}}$$

$$\gamma = \rho*g = 1,95*9,81 = 19,13\frac{\text{kN}}{m^{3}}$$

$$\gamma^{'} = \left( 1 - n \right)*\left( \gamma_{s} - \gamma_{w} \right) = \left( 1 - 0,42 \right)*\left( 26,49 - 9,81 \right) = 9,67\frac{\text{kN}}{m^{3}}$$

$$\gamma_{\text{sr}} = \left( 1 - n \right)*\gamma_{s} + n*\gamma_{w} = \left( 1 - 0,42 \right)*26,49 + 0,42*9,81 = 19,48\frac{\text{kN}}{m^{3}}$$

$$\gamma_{d} = \rho_{d}*g = 1,56*9,81 = 15,30\frac{\text{kN}}{m^{3}}$$