User:Egm3520.s13.Jeandona

/Steel Column Load Calculations

/Proposal- Inter-Disciplinary Research on Tornadoes

/Direct Shear Test Calculations and Variables

/Unconfined Compression

/Consolidation

/Forces on A Plane Surface

/Sedimentation Basin Calculations

$$M_s = M_{sm}-M_m$$

$$e = \frac{V - \frac{M_s}{G_s \cdot \rho_w}}{frac{Ms}{G_s \cdot \rho_w}}$$

$$Ex: e = \frac{\frac{0.1ft^3 \cdot 0.0283168m^3}{1ft^3}-\frac {8.0758}{2.65 \cdot 1000}}{\frac{8.0758}{2.65 \cdot 1000}}$$

$$D_r = \frac{e_{max} - e}{e_{max}-e_{min}} \cdot 100\%$$

$$Ex: D_r = \frac{0.679 - 0.65}{0.679-0.429} \cdot 100\% \mbox{ } = \mbox{ } 11.6\%$$

$$V:$$ Volume of mold

$$M_s:$$ Dry mass of soil in mold

$$G_s:$$ Specific gravity of the solids

$$\Rho_w:$$ 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:=

$$\mbox{ } \delta = \frac{M_s}{(1+w)A_o \cdot L_o}$$

$$Ex: \mbox{ } \delta = \frac{124.94g}{1+0.148} \cdot \frac{1 Ib}{453.593 g} \cdot \frac{1}{1.34 in^2 \cdot 2.857 in} \cdot \frac{1728 in^3}{1 ft^3}=108.30pcf$$

$$M_s= Mass \mbox{ } of \mbox{ } soil = 124.94 g$$

$$Gain_{Non-inverter}|_{R_f=R_i=10\kappa \omega} = 1+ \frac{R_f}{R_i} = 2$$

$$\text{Percent Difference} = \frac{10-9.406}{10} \cdot 100 = 5.94\%$$

$$Gain \mbox{ }\alpha \mbox{ } \frac{V_in}{V_out}$$

=Permeability=

$$k_{CHT} = \frac{QL}{t \cdot \Delta h A}$$

$$Ex: k_{CHT} = \frac{797.75 \cdot 12}{34 \cdot 70 \cdot 46.06} \mbox{ }= \mbox{ } 0.08733$$

$$k_{FHT} = 2.3 \frac{aL}{At} log_{10} \frac{h_i}{h_f}$$

$$Ex: k_{FHT} = 2.3 \frac{2.35 \cdot 12}{46.06 \cdot 4.89} log_10 \frac{100}{58}$$

$$k_{20^\circ C}= \frac{\mu_T}{\mu_{20^\circ}}$$

$$Ex: k_{20^\circ C}= \frac{9.81}{10.09} 0.0873 \mbox{ }= \mbox{ } 0.0849$$

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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