For the data given in Problem 3.22, determine the relative density at each depth using Eq. (3.51). Assume moderately compressible sand and hence Q_c = 1.

Eq. (3.51)

Problem 3.22

A cone penetration test was carried out in normally consolidated sand, for which the results are summarized below:

Depth (m) ........................ Cone resistance, q_c (MN/m²)
2.0 ....................................................... 3.12
3.5 ....................................................... 4.25
5.0 ....................................................... 5.14
6.5 ....................................................... 9.23
8.0 ....................................................... 12.2

The average unit weight of the sand is 16.5 kN/m³. Determine the friction angle at each depth using Eq. (3.52).

Eq. (3.52)

1 Pa D, = 0.5 305Q.OCR18 Pa,