Question

In a consolidation test the sample tested has height H; water content is w, specific gravity of solids G. After increasing the loading by an increment $\Delta p$, the height decrease is $\Delta H$. Which one of the following expresses the corresponding change in void ratio $\Delta e$?

• A. $\Delta e=\frac{\Delta H}{H(1+wG)}$
• B. $\Delta e=\frac{\Delta H(1+wG)}{H}$
• C. $\Delta e=\frac{H(1+wG)}{\Delta H}$
• D. $\Delta e=\frac{H}{\Delta H\left(\right)1+wG}$

Answer 1

The correct option is B $\Delta e=\frac{\Delta H(1+wG)}{H}$

$\frac{\Delta H}{H}=\frac{\Delta e}{1+e_0}$

Using $e_0=Gw$ (for full saturation)

$\Delta e=\frac{\Delta H(1+Gw)}{H}$