Correct Answer - Option 2 : a
v = (e
o – e)/(p – p
o)
Explanation:
Coefficient of compressibility, av = (eo – e)/(p – po)
Where,
Initial void ratio = eo, final void ratio = e, initial pressure = po and final pressure = p
Parameter
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Formula
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Coefficient of compressibility (av)
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av = Δe/Δσ
Δe = Change in void ratio and Δσ = change in effective stress
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Coefficient of volume compressibility (mv)
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\({{\rm{m}}_{\rm{v}}} = \frac{{{\rm{\Delta V}}}}{{\rm{V}}} \times \frac{1}{{{\rm{\Delta \sigma }}}}\) or
\(\frac{{{\rm{\Delta V}}}}{{\rm{V}}} = {\rm{Strain}}\) \(\Rightarrow {{\bf{m}}_{\bf{v}}} = \frac{{{\bf{Strain}}}}{{{\bf{Stress}}}}\)
ΔV = Change in Volume, V = Original Volume
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Compression Index (C)
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\({\rm{C}} = \frac{{{\rm{\Delta e}}}}{{{\rm{log}}\left( {\frac{{{{\rm{\sigma }}_2}}}{{{{\rm{\sigma }}_1}}}} \right)}}\)
σ1 = Initial effective stress; σ2 = Final Effective stress
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