User:Egm3520.s13.Jeandona

$M_{s}=M_{sm}-M_{m}$ $e={\frac {V-{\frac {M_{s}}{G_{s}\cdot \rho _{w}}}}{frac{Ms}{G_{s}\cdot \rho _{w}}}}$ $Ex:e={\frac {{\frac {0.1ft^{3}\cdot 0.0283168m^{3}}{1ft^{3}}}-{\frac {8.0758}{2.65\cdot 1000}}}{\frac {8.0758}{2.65\cdot 1000}}}$ $D_{r}={\frac {e_{max}-e}{e_{max}-e_{min}}}\cdot 100\%$ $Ex:D_{r}={\frac {0.679-0.65}{0.679-0.429}}\cdot 100\%{\mbox{ }}={\mbox{ }}11.6\%$ $V:$ Volume of mold

$M_{s}:$ Dry mass of soil in mold

$G_{s}:$ Specific gravity of the solids

$\mathrm {P} _{w}:$ Density of water

$e_{max}:$ Void ratio of the soil in its loosest state

$e_{min}:$ Void ratio of the soil in its densest state

$e_{insitu}:$ in situ void ratio

To be Deleted:

${\mbox{ }}\delta ={\frac {M_{s}}{(1+w)A_{o}\cdot L_{o}}}$ $Ex:{\mbox{ }}\delta ={\frac {124.94g}{1+0.148}}\cdot {\frac {1Ib}{453.593g}}\cdot {\frac {1}{1.34in^{2}\cdot 2.857in}}\cdot {\frac {1728in^{3}}{1ft^{3}}}=108.30pcf$ $M_{s}=Mass{\mbox{ }}of{\mbox{ }}soil=124.94g$ $Gain_{Non-inverter}|_{R_{f}=R_{i}=10\kappa \omega }=1+{\frac {R_{f}}{R_{i}}}=2$ ${\text{Percent Difference}}={\frac {10-9.406}{10}}\cdot 100=5.94\%$ $Gain{\mbox{ }}\alpha {\mbox{ }}{\frac {V_{i}n}{V_{o}ut}}$ Permeability

$k_{CHT}={\frac {QL}{t\cdot \Delta hA}}$ $Ex:k_{CHT}={\frac {797.75\cdot 12}{34\cdot 70\cdot 46.06}}{\mbox{ }}={\mbox{ }}0.08733$ $k_{FHT}=2.3{\frac {aL}{At}}log_{10}{\frac {h_{i}}{h_{f}}}$ $Ex:k_{FHT}=2.3{\frac {2.35\cdot 12}{46.06\cdot 4.89}}log_{1}0{\frac {100}{58}}$ $k_{20^{\circ }C}={\frac {\mu _{T}}{\mu _{20^{\circ }}}}$ $Ex:k_{20^{\circ }C}={\frac {9.81}{10.09}}0.0873{\mbox{ }}={\mbox{ }}0.0849$ Legend of Variables:

$k_{CHT}:$ coefficient of permeability for constant head test(cm/s)

$k_{FHT}:$ coefficient of permeability for falling head test(cm/s)

$Q:$ total quantity of water (cm$_{3}$ )which flowed through the sample in elapsed time t (s)

$\Delta h:$ total head loss (cm)

$A:$ cross-sectional area of permeameter (cm$_{2}$ )

$L:$ length of sample in permeameter (cm)

$a:$ cross

$h_{i}:$ initial height of water above outflow (cm)

$h_{f}:$ final height of water above outflow (cm)

$k_{20^{\circ }C}:$ coefficient of permeability at 20$^{\circ }$ C

$\mu _{T}:$ viscosity of water at a specific temperature

$\mu _{20^{\circ }C}:$ viscosity of water at 20$^{\circ }$ C