For a normally consolidated clay layer of thickness H, compression index C_c, initial void ratio e_0, initial effective overburden stress sigma'_0, and stress increase Deltasigma', the primary consolidation settlement S_c is:

Home › MCQs › Architecture Engineering › Question #2346

Architecture Engineering QUESTION #2346

Question 1

For a normally consolidated clay layer of thickness \(H\), compression index \(C_c\), initial void ratio \(e_0\), initial effective overburden stress \(\sigma'_0\), and stress increase \(\Delta\sigma'\), the primary consolidation settlement \(S_c\) is:

\(S_c = \dfrac{C_s H}{1 + e_0} \log\!\left(\dfrac{\sigma'_0 + \Delta\sigma'}{\sigma'_0}\right)\)
\(S_c = \dfrac{C_c H}{1 + e_0} \ln\!\left(\dfrac{\sigma'_0 + \Delta\sigma'}{\sigma'_0}\right)\)
\(S_c = \dfrac{C_c H}{1 + e_0} \log\!\left(\dfrac{\sigma'_0 + \Delta\sigma'}{\sigma'_0}\right)\)✔️
\(S_c = m_v \cdot H \cdot \Delta\sigma'\)

Correct Answer Explanation

For normally consolidated clay: \(S_c = \dfrac{C_c H}{1 + e_0} \log_{10}\!\left(\dfrac{\sigma'_0 + \Delta\sigma'}{\sigma'_0}\right)\). The compression index \(C_c\) applies for stresses exceeding the preconsolidation pressure. For over-consolidated clay (within the preconsolidation range), the recompression index \(C_s \approx C_c/5\) to \(C_c/10\) is used instead (Option A).

More Options