Normally consolidated soils at ordinary depths are pretty soft. Consider a bay or lakebottom deposit normally consolidated under its own buoyant weight. At a depth of 100 feet the overburden pressure is probably less than 6000 psf (300 kPa). Su would be roughly 0.23*(6000) = 1380 psf. The unconfined compressive strength would be roughly twice Su, about 2760 psf or 140 kPa. This is a "stiff" consistency, readily indented with your fingers. The soil you described is probably "hard"; can't be dented with the fingers, with an unconfined strength greater than 8000 psf (400 kPa).
However, as it is a silt, a dry silt can be hard, but subject to softening and collapse upon saturation. I suggest determining the dry unit weight and checking the Navy Manual, DM-7.1, Figure 5 for collapse susceptibility.
In your calculation, I think 0.23*(120) = 28 kPa.