Relation Between Submerged Unit Weight, Specific Gravity, Void Ratio and Unit Weight of Water

23rd April 202013th March 2022 Malay Sautya

Relation Between Submerged Unit Weight, Specific Gravity, Void Ratio and Unit Weight of Water

In this article, we shall make a formula or relation between the submerged unit weight( ${\gamma }'$ ), specific gravity(G), void ratio(e) and unit weight of water/ density of water( $\gamma_{w}$ ).

We know,

$\gamma _{sat} = \frac{W_{sat}}{V_{sat}}$
Or, $\gamma _{sat} = \frac{W_{s} + W_{w}}{V_{s}+V_{v}}$

Or, $\gamma _{sat} = \frac{G \gamma_{w} + e\gamma_{w} }{1+e}$

Or, $\gamma _{sat} = \left (\frac{G + e}{1 + e} \right )\gamma_{w}$

From the definition of submerged unit weight, we have,

${\gamma }' = \gamma_{sat} - \gamma_{w}$

Or, ${\gamma }' = \left (\frac{G + e}{1 + e} \right )\gamma_{w} - \gamma _{w}$

Or, ${\gamma }' = \left (\frac{G - 1}{1 + e} \right )\gamma_{w}$

Read More:

Relation Between Porosity and Void Ratio

Relation Between Dry Unit Weight, Specific Gravity, Percentage of Air Voids and Water Content

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