Sr.No.

Input Data :-

Formulation

Output Data :-

1

Water Content

\[(w)\]

=

\[W_s=\dfrac{W}{1+w}\]

Weight of solids soil

\[(W_s)\]

=

952.38

gm

Total Weight of soil

\[(W)\]

=

gm

2

Weight of solids soil

\[(W_s)\]

=

gm

\[W=W_s(1+w)\]

Total Weight of soil

\[(W)\]

=

1000.00

gm

Water Content

\[(w)\]

=

3

Volume of soil mass

\[(V)\]

=

ml

\[V_s=\dfrac{V}{1+e}\]

Volume of Solids in soil

\[(V_s)\]

=

70.59

ml

Void ratio

\[(e)\]

=

4

Volume of Solids in soil

\[(V_s)\]

=

gm

\[V=V_s(1+e)\]

Volume of soil mass

\[(V)\]

=

120.70

gm

Void ratio

\[(e)\]

=

5

Void ratio

\[(e)\]

=

\[e=\dfrac{n}{1+n}\]

Porosity

\[(n)\]

=

0.41

6

Porosity

\[(n)\]

=

\[n=\dfrac{e}{1-e}\]

Void ratio

\[(e)\]

=

0.69

7

Void ratio

\[(e)\]

=

\[e S=w G_s\]

Specific gravity of Solids

\[(G_s)\]

=

2.80

Degree of Saturation

\[(S)\]

=

Water Content

\[(w)\]

=

8

Void ratio

\[(e)\]

=

\[e S=w G_s\]

Water Content

\[(w)\]

=

0.05

Degree of Saturation

\[(S)\]

=

Specific gravity of Solids

\[(G_s)\]

=

9

Specific gravity of Solids

\[(G_s)\]

=

\[e S=w G_s\]

Void ratio

\[(e)\]

=

0.70

Degree of Saturation

\[(S)\]

=

Water Content

\[(w)\]

=

10

Void ratio

\[(e)\]

=

\[e S=w G_s\]

Degree of Saturation

\[(S)\]

=

0.20

Specific gravity of Solids

\[(G_s)\]

=

Water Content

\[(w)\]

=

11

Void ratio

\[(e)\]

=

\[\gamma_t=\dfrac{G_s+S e}{1+e} \gamma_w\]

Unit weight of Soil

\[(\gamma_t)\]

=

17.29

kN/m3

Degree of Saturation

\[(S)\]

=

Specific gravity of Solids

\[(G_s)\]

=

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

12

Void ratio

\[(e)\]

=

\[G_s=\dfrac{\gamma_t(1+ e)}{\gamma_w} -S e\]

Specific gravity of Solids

\[(G_s)\]

=

2.80

Degree of Saturation

\[(S)\]

=

Unit weight of Soil

\[(\gamma_t)\]

=

kN/m3

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

13

Void ratio

\[(e)\]

=

\[S=\dfrac{\dfrac{\gamma_t(1+ e)}{\gamma_w} -G_s}{e}\]

Degree of Saturation

\[(S)\]

=

0.20

Specific gravity of Solids

\[(G_s)\]

=

Unit weight of Soil

\[(\gamma_t)\]

=

kN/m3

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

14

Void ratio

\[(e)\]

=

\[\gamma_{sat}=\dfrac{G_s+ e}{1+e} \gamma_w\]

Unit weight of saturated Soil

\[(\gamma_{sat})\]

=

20.59

kN/m3

Degree of Saturation

\[(S)\]

=

Specific gravity of Solids

\[(G_s)\]

=

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

15

Void ratio

\[(e)\]

=

\[G_s=\dfrac{\gamma_{sat}(1+ e)}{\gamma_w} -e\]

Specific gravity of Solids

\[(G_s)\]

=

2.80

Degree of Saturation

\[(S)\]

=

Unit weight of saturated Soil

\[(\gamma_{sat})\]

=

kN/m3

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

16

Void ratio

\[(e)\]

=

\[\gamma_d=\dfrac{G_s\gamma_w}{1+e}\]

Unit weight of dry Soil

\[(\gamma_d)\]

=

16.47

kN/m3

Degree of Saturation

\[(S)\]

=

Specific gravity of Solids

\[(G_s)\]

=

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

17

Void ratio

\[(e)\]

=

\[G_s=\dfrac{\gamma_d(1+e)}{\gamma_w}\]

Specific gravity of Solids

\[(G_s)\]

=

2.80

Degree of Saturation

\[(S)\]

=

Unit weight of dry Soil

\[(\gamma_d)\]

=

kN/m3

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

18

Void ratio

\[(e)\]

=

\[\gamma'=\dfrac{(G_s-1)\gamma_w}{1+e}\]

Unit weight of Submerged Soil

\[(\gamma')\]

=

10.59

kN/m3

Degree of Saturation

\[(S)\]

=

0.00

Specific gravity of Solids

\[(G_s)\]

=

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

19

Void ratio

\[(e)\]

=

\[G_s=\dfrac{\gamma'(1+e)}{\gamma_w}+1\]

Specific gravity of Solids

\[(G_s)\]

=

2.80

Degree of Saturation

\[(S)\]

=

0.00

Unit weight of Submerged Soil

\[(\gamma')\]

=

kN/m3

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

20

Water Content

\[(w)\]

=

\[\gamma_d=\dfrac{\gamma_t}{1+w}\]

Unit weight of dry Soil

\[(\gamma_d)\]

=

16.47

kN/m3

Unit weight of Soil

\[(\gamma_t)\]

=

kN/m3

21

Water Content

\[(w)\]

=

\[\gamma_t=\gamma_d (1+w)\]

Unit weight of Soil

\[(\gamma_t)\]

=

17.29

kN/m3

Unit weight of dry Soil

\[(\gamma_d)\]

=

kN/m3

22

Unit weight of Soil

\[(\gamma_t)\]

=

kN/m3

\[ w=\dfrac{\gamma_t}{\gamma_d}-1\]

Water Content

\[(w)\]

=

0.05

Unit weight of dry Soil

\[(\gamma_d)\]

=

kN/m3

23

Water Content

\[(w)\]

=

\[\gamma_d=\dfrac{G_s \gamma_w}{1+\dfrac{w G_s}{S}}\]

Unit weight of dry Soil

\[(\gamma_d)\]

=

16.47

kN/m3

Specific gravity of Solids

\[(G_s)\]

=

Degree of Saturation

\[(S)\]

=

kN/m3

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3

24

Water Content

\[(w)\]

=

\[ S=\dfrac{w}{\dfrac{\gamma_w}{\gamma_t}(1+w)+\dfrac{1}{G_s}}\]

Degree of Saturation

\[(S)\]

=

0.20

Specific gravity of Solids

\[(G_s)\]

=

Unit weight of Soil

\[(\gamma_t)\]

=

kN/m3

Unit weight of Water

\[(\gamma_w)\]

=

kN/m3