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USCS classification from PSD curves

Short answer

Soil A: CL, sandy lean clay; Soil B: SC, clayey sand with gravel. A has 55% fines (fine-grained) and plots above A-line with wL 45; B has 13% fines with sand dominating and Ip=15 above A-line.

Particle size distribution curves for two types of soil, Soil A and Soil B, are shown in the figure [Figure: percentage passing versus particle size (mm), log scale; labelled points on the curves: 99% and 55% for soil A, 63% and 13% for soil B, with the 0.075 mm and 4.75 mm sizes marked on the axis]. Water contents measured at the boundaries between the liquid state-plastic state and plastic state-semi solid for soil A are 45% and 15% respectively. Similarly, for Soil B, they are 25% and 10% respectively. Classify these soils based on the Unified Soil Classification System. Draw the plasticity chart if required.

Reading the curves

For each soil, the larger percentage is taken as the percent passing the 4.75 mm sieve and the smaller as the percent passing the 0.075 mm sieve.

SoilPassing 4.75 mmPassing 0.075 mmwLw_LwPw_PIpI_p
A99%55%451530
B63%13%251015

Soil A

Fines =55%>50%= 55\% > 50\%, so it is fine-grained.

Ip,A-line=0.73(45−20)=18.25%I_{p,A\text{-line}} = 0.73(45 - 20) = 18.25\%

Ip=30>18.25I_p = 30 > 18.25: above the A-line (clay); wL=45<50w_L = 45 < 50 (low plasticity).

Soil A: CL, sandy lean clay.

Soil B

Fines =13%= 13\%, which is more than 12% but less than 50%, so it is coarse-grained with fines.

  • Gravel =100−63=37%= 100 - 63 = 37\%
  • Sand =63−13=50%= 63 - 13 = 50\%

Sand is more than half of the coarse fraction (50/87=57%50/87 = 57\%), so it is S.

Ip,A-line=0.73(25−20)=3.65%I_{p,A\text{-line}} = 0.73(25 - 20) = 3.65\%

Ip=15>7I_p = 15 > 7 and above the A-line: clayey fines.

Soil B: SC, clayey sand with gravel.

Plasticity chart

  Ip (%)
  35 |                    |      /   A-line
  30 |                  A |   /
  25 |                    | /
  20 |                   /|
  15 |          B     /   |
  10 |             /      |
   5 |           /        |
   0 |        /           |
     +------------------------------ wL (%)
      0       20 25        50

Point A (45, 30) and point B (25, 15) both lie above the A-line.

✓ Answer checked by Claude Opus 5.5 (high effort)

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