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an engineering geological characterisation of tropical clays - GBV

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121<br />

where w (%) = moisture content <strong>of</strong> soil<br />

S (%) = degree <strong>of</strong> saturation, i.e. volume <strong>of</strong> water contained in the void space between<br />

soil particles expressed as a percentage <strong>of</strong> total voids<br />

The volume ch<strong>an</strong>ge which occurs during consolidation takes place only in the voids so that a<br />

ch<strong>an</strong>ge in height ∆H from <strong>an</strong> initial height Ho in the specimen corresponds to a ch<strong>an</strong>ge in<br />

voids ratio ∆e from <strong>an</strong> initial value eo. By proportion therefore,<br />

∆H/Ho = ∆e/(1+eo), so that<br />

∆e = ((1+eo)/Ho) * ∆H, or<br />

∆e = F∆H (7.37)<br />

Where F (mm¯¹) = ch<strong>an</strong>ge in voids ratio per unit height, with respect to initial conditions <strong>of</strong><br />

test specimen<br />

The ch<strong>an</strong>ge in height <strong>of</strong> specimen is used to give the voids ratio,e, at <strong>an</strong>y stage <strong>of</strong> a<br />

consolidation test through<br />

e = eo – ∆e (7.38)<br />

where eo = initial voids ratio <strong>of</strong> test specimen<br />

7.4.3.3 Coefficient <strong>of</strong> compressibility (av), coefficient <strong>of</strong> volume compressibility (mv)<br />

<strong>an</strong>d compression index (cc)<br />

These coefficients are derived from consolidation tests <strong>an</strong>d are indicative <strong>of</strong> the<br />

compressibility <strong>of</strong> soils. They serve to give estimates <strong>of</strong> the amount <strong>of</strong> settlement due to<br />

primary consolidation.<br />

The coefficient <strong>of</strong> compressibility, av, <strong>an</strong>d the coefficient <strong>of</strong> volume compressibility, mv, are<br />

usually calculated for each load increment while the compression index, cc, is derived from <strong>an</strong><br />

e/ log p curve obtained by plotting voids ratio, e, against applied pressure, p, (log scale), i.e.<br />

(Fig. 7.15a). In practice, mv is applied to overconsolidated <strong>clays</strong> <strong>an</strong>d cc to normally<br />

consolidated ones. The swell index, cs, gives <strong>an</strong> indication <strong>of</strong> exp<strong>an</strong>sion <strong>of</strong> a soil on<br />

unloading.<br />

The coefficient <strong>of</strong> compressibility, av, is the ch<strong>an</strong>ge in voids ratio, δe, per unit pressure<br />

ch<strong>an</strong>ge, during a given load increment, due to consolidation caused by that incremental<br />

pressure δp, i.e.<br />

av = (e2 – e1)/ δp<br />

= - δe/ δp (m²/kN) (7.39)<br />

where e1 <strong>an</strong>d e2 = voids ratios at start <strong>an</strong>d end <strong>of</strong> consolidation under the load increment<br />

δp in kN/m²<br />

The negative sign indicates decrease <strong>of</strong> e as p increases.

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