Use phase diagrams and the basic weightvolume definitions an

Use phase diagrams and the basic weight-volume definitions and equations to solve the problem. Use only the equations I provided in lecture to solve. If you use any other equation(s) you must show the derivation for the equation(s). Must show completed phase diagram and the completed phase diagram must be used to answer the questions to get full credit. A copy of a phase diagram is available on eCourseware. Follow the homework format requirements included in the syllabus.

1)In the natural state, a moist soil has a volume of 0.0093 m³ and weighs 177.6 N. The oven dry weight of the soil is 153.6 N. If the specific gravity of soil solids is 2.71, calculate the water content, total unit weight in kN/m³, dry unit weight in kN/m³, void ratio, porosity, and degree of saturation?

Solution

Solution:-

Given

Volume (V) =0.0093 m³

Specific gravity of soil solid = 2.71

Moist soil weight (W) = 177.6 N

Dry weight (Ws) = 153.6 N

Water content = (M_w/Ms)*100

                          = ((177.6 – 153.6)/153.6)*100

                         = 15.6 %   Answer

Total unit weight (y) = W/V

                                    = 177.6/(0.0093)

                                  = 19.09 kN/m³     Answer

Dry unit weight (y_d ) = W_s/V

                                     = 153.6/(0.0093)

                                   = 16.5 kN/m³

Calculation of void ratio (e)

We know that

y_d = G y_w/(1 + e)

16.5 = 2.71 *9.81/(1 + e)

e = 0.6112                  Answer

Where Unit weight of water (y_w) =9.81 kN/m³

Calculation of degree of saturation(S)

y = (G + Se)*y_w/(1 +e)

19.09 = (2.71 + S * 0.6112) *9.81/(1 + 0.6112)

S =0.69

S= 69 % Answer

Porosity (n) = e/(1 +e)

                       = 0.6112/(1+0.6112)

                      = 0.379

% porosity =37.9 %   Answer