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9. Fluid mechanics
10. Soil mechanics
10.1 Weight and volume relationships
10.2 Consolidation and stress
10.3 Bearing capacity, stress and slope stability
10.4 Soil classification
11. Structural engineering
12. Concrete structure design
13. Water resources engineering
14. Environmental engineering
15. Transportation engineering
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10.4 Soil classification
Achievable FE Civil
10. Soil mechanics

Soil classification

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This chapter covers the following:

  • AASHTO soil classification
  • USCS soil classification

AASHTO soil classification system

The AASHTO soil classification system was developed by the American Association of State Highway and Transportation Officials. It classifies soils based on their suitability as subgrade material for highway construction. You’ll most often see it used to evaluate soil performance for pavement subgrades and embankments.

Basic criteria used

  • Grain size distribution
  • Liquid limit (LL)
  • Plasticity index (PI)

Particle size limits (as per AASHTO)

Fraction Size (mm) Sieve no.
Gravel >2.0 No. 10
Sand 0.075−2.0 No. 200 - no. 10
Silt & clay (fines) <0.075 No. 200

Soil groups and classification

Granular materials (≤ 35% passing No. 200 sieve):

  • Groups: A-1, A-2, A-3

Silt-clay materials (> 35% passing No. 200 sieve):

  • Groups: A-4, A-5, A-6, A-7

Within A-7, the subgroup depends on how PI compares to LL−30: A-7-5 applies when PI≤LL−30, and A-7-6 applies when PI>LL−30.

Group index (GI)

The group index (GI) is a number used to further rate subgrade quality within the AASHTO groups. It is calculated as:

GI=(F−35)[0.2+0.005(LL−40)]+0.01(F−15)(PI−10)

Where:

  • F: Percent passing No. 200 sieve
  • LL: Liquid limit
  • PI: Plasticity index

If GI < 0, it is taken as zero. A higher GI generally indicates poorer subgrade performance.

Exam tip: The GI formula, the Cu​/Cc​ gradation equations, and the plasticity chart (A-line) used later in this chapter are all printed in the FE Reference Handbook’s soil classification section. The tested skill is locating and applying the right formula under time pressure, not memorizing it. When you calculate GI, carry the intermediate terms unrounded and round only the final result, to the nearest whole number (never below zero).

Summary table of AASHTO classification

Group Description % fines (passing No. 200) LL PI General subgrade rating
A-1-a Stone fragments, gravel, and sand ≤ 15% - ≤ 6 Excellent to good
A-1-b Stone fragments, gravel, and sand ≤ 25% - ≤ 6 Excellent to good
A-2-4 Silty or clayey gravel and sand ≤ 35% ≤ 40 ≤ 10 Excellent to good
A-2-5 Silty or clayey gravel and sand ≤ 35% > 40 ≤ 10 Excellent to good
A-2-6 Silty or clayey gravel and sand ≤ 35% ≤ 40 > 10 Excellent to good
A-2-7 Silty or clayey gravel and sand ≤ 35% > 40 > 10 Excellent to good
A-3 Fine sand ≤ 10% - NP Excellent to good
A-4 Silty soils > 35% ≤ 40 ≤ 10 Fair to poor
A-5 Silty soils > 35% > 40 ≤ 10 Fair to poor
A-6 Clayey soils > 35% ≤ 40 > 10 Fair to poor
A-7-5 Clayey soils > 35% > 40 > 10, ≤LL−30 Fair to poor
A-7-6 Clayey soils > 35% > 40 > 10, >LL−30 Fair to poor

The granular groups also have coarser-sieve limits: A-1-a needs ≤ 50% passing the No. 10 and ≤ 30% passing the No. 40 sieve, A-1-b ≤ 50% passing the No. 40, and A-3 ≥ 51% passing the No. 40. LL and PI are measured on the fraction passing the No. 40 sieve.

Example

Given:

  • F=42%
  • LL=45
  • PI=18

Step 1: Group type

Since F>35%, the soil is a silt-clay material.

Because LL>40 and PI>10, it falls in the A-7 group.

Within the A-7 group, the subgroup depends on how PI compares to LL−30:

  • PI≤LL−30⇒ A-7-5
  • PI>LL−30⇒ A-7-6

Here, LL−30=45−30=15, and PI=18>15, so the soil falls in A-7-6.

Step 2: calculate GI

Substitute the given values into the GI equation:

GI=(42−35)[0.2+0.005(45−40)]+0.01(42−15)(18−10)

Compute step by step:

GI=7(0.2+0.025)+0.01(27)(8)=7(0.225)+2.16=1.575+2.16=3.735≈4

Final classification:

A-7-6 (GI = 4) → a silt-clay soil rated fair to poor as a subgrade; within a group, the higher the GI, the less suitable the soil

Unified soil classification system (USCS)

The Unified soil classification system (USCS) classifies soils based on particle size distribution and plasticity characteristics. In geotechnical engineering, it’s commonly used to help predict soil behavior.

Objectives

  • Classify soil for engineering purposes
  • Predict behavior (shear strength, permeability, compaction)
  • Standardize communication among engineers and geologists

Major soil categories

  1. Coarse-grained soils: More than 50% retained on No. 200 sieve
    • Gravels (G)
    • Sands (S)
  2. Fine-grained soils: 50% or more passes No. 200 sieve
    • Silts (M)
    • Clays (C)
  3. Highly organic soils (Pt): Peat or organic-rich soils

Watch out: AASHTO and USCS draw the coarse/fine line at different points. AASHTO calls a soil “granular” when 35% or less passes the No. 200 sieve, while USCS calls a soil “coarse-grained” only when more than 50% is retained on the No. 200 sieve. A soil with, say, 40% passing No. 200 counts as fine-grained under AASHTO’s more conservative cutoff but still coarse-grained under USCS - the two systems’ thresholds aren’t interchangeable.

Grain size boundaries

Soil type Size range
Gravel >4.75 mm
Sand 0.075 mm−4.75 mm
Silt/Clay <0.075 mm

Coarse-grained soil classification

Step 1: gravel or sand?

  • Gravel (G): If more than 50% of the coarse fraction is >4.75 mm
  • Sand (S): If more than 50% of the coarse fraction is <4.75 mm

Step 2: gradation criteria

  • Coefficient of uniformity (Cu):

Cu​=D10​D60​​

  • Coefficient of curvature (Cc):

Cc​=D10​⋅D60​(D30​)2​

Well-graded conditions

  • Gravel: Cu​≥4, 1≤Cc​≤3
  • Sand: Cu​≥6, 1≤Cc​≤3

Example: Checking gradation

A sand sample has D10​=0.1 mm, D30​=0.3 mm, and D60​=1.0 mm. Is it well-graded?

Cu​=D10​D60​​=0.11.0​=10

Cc​=D10​⋅D60​(D30​)2​=0.1×1.0(0.3)2​=0.10.09​=0.9

Cu​=10 satisfies Cu​≥6, but Cc​=0.9 falls outside the required 1≤Cc​≤3 range. Both conditions must hold for a well-graded sand, so this soil is poorly-graded (SP) even though it passes the Cu​ check.

Answer: Poorly-graded sand (SP)

Fine-grained soil classification

Atterberg limits:

  • Liquid limit (LL)
  • Plastic limit (PL)
  • Plasticity index (PI):

PI=LL−PL

Plasticity chart

  • Below A-line: Silts (ML, MH)
  • Above A-line: Clays (CL, CH)

Within each of these, the liquid limit sets low versus high plasticity: LL < 50 gives low plasticity (ML, CL), and LL ≥ 50 gives high plasticity (MH, CH).

Symbol Description
CL Inorganic clay (low plasticity)
CH Inorganic clay (high plasticity)
ML Inorganic silt (low plasticity)
MH Inorganic silt (high plasticity)
OL Organic silt/clay (low plasticity)
OH Organic silt/clay (high plasticity)

Organic soils

  • Identified by color, odor, and lower specific gravity
  • Designation: OL or OH for organic silts and clays (low or high liquid limit), and Pt for peat and other highly organic soils

Example

Given:

  • 55% passing No. 200 sieve → Fine-grained
  • LL=42%, PL=24%
  • PI=42−24=18

Interpretation:

  • PI=18, LL=42 → above A-line → Clay
  • LL<50 → Low plasticity

USCS symbol: CL

Summary table

Group Description
GW Well-graded gravel
GP Poorly-graded gravel
GM Silty gravel
GC Clayey gravel
SW Well-graded sand
SP Poorly-graded sand
SM Silty sand
SC Clayey sand
ML Inorganic silt (low LL)
CL Inorganic clay (low LL)
MH Inorganic silt (high LL)
CH Inorganic clay (high LL)
OL Organic silt/clay
OH Organic silt/clay (high LL)
Pt Peat

Coarse-grained soils with 5-12% fines take dual symbols, such as SP-SM for a poorly-graded sand with silt.

Please refer to the FE Handbook for detailed classification charts.

AASHTO soil classification system

  • Developed for highway subgrade suitability
  • Uses grain size, liquid limit (LL), plasticity index (PI)
  • Particle size limits:
    • Gravel: >2.0 mm (No. 10 sieve)
    • Sand: 0.075−2.0 mm (No. 200-No. 10)
    • Silt & Clay: <0.075 mm (No. 200)
  • Soil groups:
    • Granular (≤ 35% passing No. 200): A-1, A-2, A-3
    • Silt-Clay (> 35% passing No. 200): A-4, A-5, A-6, A-7
  • Group index (GI):
    • GI=(F−35)[0.2+0.005(LL−40)]+0.01(F−15)(PI−10)
    • Higher GI = poorer subgrade
  • Subgrade quality by group:
    • A-1: Excellent/Good
    • A-2, A-3: Fair/Poor drainage
    • A-4 to A-7: Marginal to Worst
  • Example: F=42%, LL=45, PI=18 → A-7-6 (GI=4), poor subgrade

Unified soil classification system (USCS)

  • Classifies soils for engineering behavior prediction
  • Major categories:
    • Coarse-grained: >50% retained on No. 200 (Gravel G, Sand S)
    • Fine-grained: >50% passing No. 200 (Silt M, Clay C)
    • Highly organic: Pt (peat)
  • Grain size boundaries:
    • Gravel: >4.75 mm
    • Sand: 0.075−4.75 mm
    • Silt/Clay: <0.075 mm
  • Coarse-grained gradation:
    • Cu​=D60​/D10​, Cc​=(D30​)2/(D10​D60​)
    • Well-graded: Gravel (Cu​>4, 1<Cc​<3), Sand (Cu​>6, 1<Cc​<3)
  • Fine-grained classification:
    • Atterberg limits: LL, PL, PI (PI=LL−PL)
    • Plasticity chart: Below A-line = silts (ML, MH), above A-line = clays (CL, CH)
  • Organic soils: Identified by color, odor, low specific gravity, symbol Pt
  • USCS symbols:
    • GW, GP, GM, GC (gravel types)
    • SW, SP, SM, SC (sand types)
    • ML, CL, MH, CH (fine-grained)
    • OL, OH, Pt (organic)
  • Example: 55% passing No. 200, LL=42, PL=24, PI=18 → CL (inorganic clay, low plasticity)

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Soil classification

This chapter covers the following:

  • AASHTO soil classification
  • USCS soil classification

AASHTO soil classification system

The AASHTO soil classification system was developed by the American Association of State Highway and Transportation Officials. It classifies soils based on their suitability as subgrade material for highway construction. You’ll most often see it used to evaluate soil performance for pavement subgrades and embankments.

Basic criteria used

  • Grain size distribution
  • Liquid limit (LL)
  • Plasticity index (PI)

Particle size limits (as per AASHTO)

Fraction Size (mm) Sieve no.
Gravel >2.0 No. 10
Sand 0.075−2.0 No. 200 - no. 10
Silt & clay (fines) <0.075 No. 200

Soil groups and classification

Granular materials (≤ 35% passing No. 200 sieve):

  • Groups: A-1, A-2, A-3

Silt-clay materials (> 35% passing No. 200 sieve):

  • Groups: A-4, A-5, A-6, A-7

Within A-7, the subgroup depends on how PI compares to LL−30: A-7-5 applies when PI≤LL−30, and A-7-6 applies when PI>LL−30.

Group index (GI)

The group index (GI) is a number used to further rate subgrade quality within the AASHTO groups. It is calculated as:

GI=(F−35)[0.2+0.005(LL−40)]+0.01(F−15)(PI−10)

Where:

  • F: Percent passing No. 200 sieve
  • LL: Liquid limit
  • PI: Plasticity index

If GI < 0, it is taken as zero. A higher GI generally indicates poorer subgrade performance.

Exam tip: The GI formula, the Cu​/Cc​ gradation equations, and the plasticity chart (A-line) used later in this chapter are all printed in the FE Reference Handbook’s soil classification section. The tested skill is locating and applying the right formula under time pressure, not memorizing it. When you calculate GI, carry the intermediate terms unrounded and round only the final result, to the nearest whole number (never below zero).

Summary table of AASHTO classification

Group Description % fines (passing No. 200) LL PI General subgrade rating
A-1-a Stone fragments, gravel, and sand ≤ 15% - ≤ 6 Excellent to good
A-1-b Stone fragments, gravel, and sand ≤ 25% - ≤ 6 Excellent to good
A-2-4 Silty or clayey gravel and sand ≤ 35% ≤ 40 ≤ 10 Excellent to good
A-2-5 Silty or clayey gravel and sand ≤ 35% > 40 ≤ 10 Excellent to good
A-2-6 Silty or clayey gravel and sand ≤ 35% ≤ 40 > 10 Excellent to good
A-2-7 Silty or clayey gravel and sand ≤ 35% > 40 > 10 Excellent to good
A-3 Fine sand ≤ 10% - NP Excellent to good
A-4 Silty soils > 35% ≤ 40 ≤ 10 Fair to poor
A-5 Silty soils > 35% > 40 ≤ 10 Fair to poor
A-6 Clayey soils > 35% ≤ 40 > 10 Fair to poor
A-7-5 Clayey soils > 35% > 40 > 10, ≤LL−30 Fair to poor
A-7-6 Clayey soils > 35% > 40 > 10, >LL−30 Fair to poor

The granular groups also have coarser-sieve limits: A-1-a needs ≤ 50% passing the No. 10 and ≤ 30% passing the No. 40 sieve, A-1-b ≤ 50% passing the No. 40, and A-3 ≥ 51% passing the No. 40. LL and PI are measured on the fraction passing the No. 40 sieve.

Example

Given:

  • F=42%
  • LL=45
  • PI=18

Step 1: Group type

Since F>35%, the soil is a silt-clay material.

Because LL>40 and PI>10, it falls in the A-7 group.

Within the A-7 group, the subgroup depends on how PI compares to LL−30:

  • PI≤LL−30⇒ A-7-5
  • PI>LL−30⇒ A-7-6

Here, LL−30=45−30=15, and PI=18>15, so the soil falls in A-7-6.

Step 2: calculate GI

Substitute the given values into the GI equation:

GI=(42−35)[0.2+0.005(45−40)]+0.01(42−15)(18−10)

Compute step by step:

GI=7(0.2+0.025)+0.01(27)(8)=7(0.225)+2.16=1.575+2.16=3.735≈4

Final classification:

A-7-6 (GI = 4) → a silt-clay soil rated fair to poor as a subgrade; within a group, the higher the GI, the less suitable the soil

Unified soil classification system (USCS)

The Unified soil classification system (USCS) classifies soils based on particle size distribution and plasticity characteristics. In geotechnical engineering, it’s commonly used to help predict soil behavior.

Objectives

  • Classify soil for engineering purposes
  • Predict behavior (shear strength, permeability, compaction)
  • Standardize communication among engineers and geologists

Major soil categories

  1. Coarse-grained soils: More than 50% retained on No. 200 sieve
    • Gravels (G)
    • Sands (S)
  2. Fine-grained soils: 50% or more passes No. 200 sieve
    • Silts (M)
    • Clays (C)
  3. Highly organic soils (Pt): Peat or organic-rich soils

Watch out: AASHTO and USCS draw the coarse/fine line at different points. AASHTO calls a soil “granular” when 35% or less passes the No. 200 sieve, while USCS calls a soil “coarse-grained” only when more than 50% is retained on the No. 200 sieve. A soil with, say, 40% passing No. 200 counts as fine-grained under AASHTO’s more conservative cutoff but still coarse-grained under USCS - the two systems’ thresholds aren’t interchangeable.

Grain size boundaries

Soil type Size range
Gravel >4.75 mm
Sand 0.075 mm−4.75 mm
Silt/Clay <0.075 mm

Coarse-grained soil classification

Step 1: gravel or sand?

  • Gravel (G): If more than 50% of the coarse fraction is >4.75 mm
  • Sand (S): If more than 50% of the coarse fraction is <4.75 mm

Step 2: gradation criteria

  • Coefficient of uniformity (Cu):

Cu​=D10​D60​​

  • Coefficient of curvature (Cc):

Cc​=D10​⋅D60​(D30​)2​

Well-graded conditions

  • Gravel: Cu​≥4, 1≤Cc​≤3
  • Sand: Cu​≥6, 1≤Cc​≤3

Example: Checking gradation

A sand sample has D10​=0.1 mm, D30​=0.3 mm, and D60​=1.0 mm. Is it well-graded?

Cu​=D10​D60​​=0.11.0​=10

Cc​=D10​⋅D60​(D30​)2​=0.1×1.0(0.3)2​=0.10.09​=0.9

Cu​=10 satisfies Cu​≥6, but Cc​=0.9 falls outside the required 1≤Cc​≤3 range. Both conditions must hold for a well-graded sand, so this soil is poorly-graded (SP) even though it passes the Cu​ check.

Answer: Poorly-graded sand (SP)

Fine-grained soil classification

Atterberg limits:

  • Liquid limit (LL)
  • Plastic limit (PL)
  • Plasticity index (PI):

PI=LL−PL

Plasticity chart

  • Below A-line: Silts (ML, MH)
  • Above A-line: Clays (CL, CH)

Within each of these, the liquid limit sets low versus high plasticity: LL < 50 gives low plasticity (ML, CL), and LL ≥ 50 gives high plasticity (MH, CH).

Symbol Description
CL Inorganic clay (low plasticity)
CH Inorganic clay (high plasticity)
ML Inorganic silt (low plasticity)
MH Inorganic silt (high plasticity)
OL Organic silt/clay (low plasticity)
OH Organic silt/clay (high plasticity)

Organic soils

  • Identified by color, odor, and lower specific gravity
  • Designation: OL or OH for organic silts and clays (low or high liquid limit), and Pt for peat and other highly organic soils

Example

Given:

  • 55% passing No. 200 sieve → Fine-grained
  • LL=42%, PL=24%
  • PI=42−24=18

Interpretation:

  • PI=18, LL=42 → above A-line → Clay
  • LL<50 → Low plasticity

USCS symbol: CL

Summary table

Group Description
GW Well-graded gravel
GP Poorly-graded gravel
GM Silty gravel
GC Clayey gravel
SW Well-graded sand
SP Poorly-graded sand
SM Silty sand
SC Clayey sand
ML Inorganic silt (low LL)
CL Inorganic clay (low LL)
MH Inorganic silt (high LL)
CH Inorganic clay (high LL)
OL Organic silt/clay
OH Organic silt/clay (high LL)
Pt Peat

Coarse-grained soils with 5-12% fines take dual symbols, such as SP-SM for a poorly-graded sand with silt.

Please refer to the FE Handbook for detailed classification charts.

Key points

AASHTO soil classification system

  • Developed for highway subgrade suitability
  • Uses grain size, liquid limit (LL), plasticity index (PI)
  • Particle size limits:
    • Gravel: >2.0 mm (No. 10 sieve)
    • Sand: 0.075−2.0 mm (No. 200-No. 10)
    • Silt & Clay: <0.075 mm (No. 200)
  • Soil groups:
    • Granular (≤ 35% passing No. 200): A-1, A-2, A-3
    • Silt-Clay (> 35% passing No. 200): A-4, A-5, A-6, A-7
  • Group index (GI):
    • GI=(F−35)[0.2+0.005(LL−40)]+0.01(F−15)(PI−10)
    • Higher GI = poorer subgrade
  • Subgrade quality by group:
    • A-1: Excellent/Good
    • A-2, A-3: Fair/Poor drainage
    • A-4 to A-7: Marginal to Worst
  • Example: F=42%, LL=45, PI=18 → A-7-6 (GI=4), poor subgrade

Unified soil classification system (USCS)

  • Classifies soils for engineering behavior prediction
  • Major categories:
    • Coarse-grained: >50% retained on No. 200 (Gravel G, Sand S)
    • Fine-grained: >50% passing No. 200 (Silt M, Clay C)
    • Highly organic: Pt (peat)
  • Grain size boundaries:
    • Gravel: >4.75 mm
    • Sand: 0.075−4.75 mm
    • Silt/Clay: <0.075 mm
  • Coarse-grained gradation:
    • Cu​=D60​/D10​, Cc​=(D30​)2/(D10​D60​)
    • Well-graded: Gravel (Cu​>4, 1<Cc​<3), Sand (Cu​>6, 1<Cc​<3)
  • Fine-grained classification:
    • Atterberg limits: LL, PL, PI (PI=LL−PL)
    • Plasticity chart: Below A-line = silts (ML, MH), above A-line = clays (CL, CH)
  • Organic soils: Identified by color, odor, low specific gravity, symbol Pt
  • USCS symbols:
    • GW, GP, GM, GC (gravel types)
    • SW, SP, SM, SC (sand types)
    • ML, CL, MH, CH (fine-grained)
    • OL, OH, Pt (organic)
  • Example: 55% passing No. 200, LL=42, PL=24, PI=18 → CL (inorganic clay, low plasticity)

More from Soil mechanics

  • Weight and volume relationships
  • Consolidation and stress
  • Bearing capacity, stress and slope stability