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USCS classification, 75 micron 4%

Short answer

SP, poorly graded sand with gravel. Fines 4%, coarse 96%; gravel is 36% of coarse fraction, so sand dominates. Well-graded sand requires Cu>=6, but Cu=5 (Cc=2 ok), so poorly graded.

The sieve analysis of a soil gave the following results: % passing 75 micron sieve = 4 % retained on 4.75 mm sieve = 35 Coefficient of curvature = 2 Coefficient of uniformity = 5 Classify the soil according to the USCS system.

Given

Passing 75 micron =4%= 4\%; retained on 4.75 mm =35%= 35\%; Cc=2C_c = 2; Cu=5C_u = 5.

Step 1: Coarse or fine?

Only 4% passes 75 micron, so more than 50% is retained: coarse-grained.

Step 2: Gravel or sand?

  • Gravel (retained on 4.75 mm) =35%= 35\%
  • Sand =100−35−4=61%= 100 - 35 - 4 = 61\%

Coarse fraction =96%= 96\%; gravel is 35/96=36%35/96 = 36\% of it, less than half. So the soil is a sand (S).

Step 3: Fines content

4% is less than 5%, so only the grading is needed (symbols SW or SP).

Step 4: Grading

For well-graded sand: Cu≥6C_u \ge 6 and 1≤Cc≤31 \le C_c \le 3.

  • Cc=2C_c = 2 satisfies the condition.
  • Cu=5<6C_u = 5 < 6 fails.

The soil is not well graded.

Answer: SP, poorly graded sand (with gravel).

✓ Answer checked by Claude Opus 5.5 (high effort)

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