Soil Compaction, Consolidation & Earth Pressures

The ultimate primary consolidation settlement $S_c$ of a normally consolidated clay layer of initial thickness $H_0$ and initial void ratio $e_0$ subjected to an effective stress increment $\Delta \sigma'$ is given by:

Options:

• (A) $S_c = \frac{C_c H_0}{1 + e_0} \log_{10} \left( \frac{\sigma_0' + \Delta \sigma'}{\sigma_0'} \right)$
• (B) $S_c = \frac{C_c H_0}{1 - e_0} \ln \left( \frac{\sigma_0' + \Delta \sigma'}{\sigma_0'} \right)$
• (C) $S_c = C_c H_0 (1 + e_0) \log_{10} \left( \frac{\sigma_0'}{\Delta \sigma'} \right)$
• (D) $S_c = \frac{H_0}{C_c (1 + e_0)} \left( \frac{\Delta \sigma'}{\sigma_0'} \right)$