Prove the relationship between wet and dry unit weights of soil as indicated in Equation (7.3). [latex]\gamma _{\omicron} =\frac{\gamma _{m} }{1+\omega }[/latex] (7.3)

By definition, [latex]\gamma _{\omicron } =W_{s} /V and \gamma _{m } =W /V[/latex] Using a phase diagram (e.g. Fig. 3.2), [latex]W=W_{s}\left(1+\omega \right)[/latex] Then [latex]{W}/{V}=W_{s}\left(1+\omega \right) /V=\left(1+\omega \right) [/latex] and [latex] \gamma _{\omicron }=\gamma _{m}/1+\omega [/latex]

Question 7.1: Prove the relationship between wet and dry unit weights of s...

Introductory Geotechnical Engineering

Prove the relationship between wet and dry unit weights of soil as indicated in Equation (7.3).

$\gamma _{\omicron} =\frac{\gamma _{m} }{1+\omega }$ (7.3)

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