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1. The moist unit weight of soil is 19.2kN/m³. Given that G_s=2.69 and w=9.8%. Determine below properties

1. Dry unit weight.
2. Void ratio.
3. Porosity
4. Degree of saturation.

Solution:

1. Dry unit weight.

\[\mathop \gamma \nolimits_d = \frac{\gamma }{{1 + \omega }} = \frac{{19.2}}{{1 + \frac{{9.8}}{{100}}}} = 17.5kN/{m^3}.\]

2. Void ratio.

\[\mathop \gamma \nolimits_d = \frac{{\mathop G\nolimits_s \mathop { \times \gamma }\nolimits_\omega }}{{1 + e}} \Rightarrow 17.5 = \frac{{(2.69)(9.81)}}{{1 + e}}\Rightarrow e=0.51\]

3. Porosity.

\[n = \frac{e}{{1 + e}} = \frac{{0.51}}{{1 + 0.51}} = 0.338\]

4. Degree of saturation.

\[S = \frac{{\mathop G\nolimits_s \times \omega }}{e} = \frac{{(0.098) \times (2.69)}}{{0.51}} \times 100 = 51.7\%\]

1. The moist unit weight of soil is

kN/m3. Given that Gs= and w= %, Determine below properties

1. Dry unit weight.
2. Void ratio.
3. Porosity
4. Degree of saturation.
5. Assume unit weight of water γ_w as

1. Dry unit weight:

2. Void ratio:

3. Porosity:

4. Degree of saturation:

Refrence

1. Venkataramaiah, C. (2018). Geotechnical Engineering (6th ed.). New Age International Publishers Pvt Ltd.

2. Punmia, B.C( 2017)Soil mechanics and foundations(17th ed.).Laxmi publications Pvt Ltd.

3. Gopal R, Rao, A, S, R( 2016)Basic and applied Soil mechanics(3rd ed.).New Age International Publishers Pvt Ltd.