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CELE Geotechnical EngineeringSoil ClassificationMemory Anchors

Memory anchors and mnemonic tricks for Soil Classification. If you find yourself forgetting key facts from this chapter during CELE mocks, these anchors are your fix. Built for Professional Regulation Commission (PRC) — Board of Civil Engineering's question style and the time pressure of the CELE 2026.

Exam context

For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Geotechnical Engineering under a "Core" label, with Soil Classification in the 2nd slot across 11 chapters. CELE candidates must clear the 70% weighted average, no sub-test below 50% cut on the 2026 paper, which draws about a meaningful share of Geotechnical Engineering questions. Date to watch: May and November 2026.

Soil Classification - Memory Anchors

Memory techniques can boost retention by up to 70% compared to passive re-reading. The human brain remembers stories, images, and emotions — NOT raw equations. Every formula, classification rule, and boundary value in Soil Classification has been transformed here into a vivid anchor: a story, an acronym, an analogy, or a rhyme. When you encounter a board exam problem, your brain will not search through notes — it will REPLAY a memorable scene. Use these anchors during your first read, then test yourself with the recall triggers. Spaced repetition of just 5 anchors per day will make you unstoppable on exam day.

Anchors

Tags

  • formula
  • definition
  • gradation

Topic

Grain-Size Distribution

Concept

Coefficient of Uniformity formula: Cu = D60 / D10

Anchor Id

A1

Difficulty

easy

Memory Aid

Think: 'SixTY over TEN gives you UNIformity.' Cu = D60/D10. The subscripts 60 and 10 — remember '6 is BIGGER than 1', so the bigger diameter is always on TOP (numerator). Cu measures how UNIFORM the grain sizes are — a small Cu means everyone is the same size (uniform), a large Cu means a wide range.

Anchor Type

mnemonic

Why It Works

The phrase anchors the numerator/denominator order, which is the most common mistake students make.

Example Usage

Exam asks: D60=1.5 mm, D10=0.15 mm, find Cu. Trigger: '60 on top' → Cu = 1.5/0.15 = 10.

Recall Trigger

Think '60 on top, 10 on bottom' — sixty is bigger so it stays on top like the boss.

Tags

  • formula
  • gradation
  • curvature

Topic

Grain-Size Distribution

Concept

Coefficient of Gradation (Curvature): Cc = D30² / (D10 × D60)

Anchor Id

A2

Difficulty

medium

Memory Aid

Cc is the 'MIDDLE CHILD SQUARED.' D30 is the middle value among D10, D30, D60. The middle child always tries TWICE AS HARD (hence squared). The parents (D10 and D60) are in the denominator multiplied together. Formula: Cc = (D30)² / (D10 × D60). Remember: 'Middle child SQUARED, parents MULTIPLIED below.'

Anchor Type

mnemonic

Why It Works

The family metaphor makes the formula structure intuitive and unforgettable.

Example Usage

D30=0.45, D10=0.15, D60=1.5. Trigger: middle child squared → Cc = (0.45)²/(0.15×1.5) = 0.2025/0.225 = 0.90.

Recall Trigger

Middle child squared — parents below.

Tags

  • classification
  • formula
  • USCS
  • well-graded

Topic

USCS Classification

Concept

Well-graded criteria for SAND: Cu ≥ 6 AND 1 ≤ Cc ≤ 3

Anchor Id

A3

Difficulty

medium

Memory Aid

For SAND, use the rule: 'SIX AND SANDWICH.' Cu must be at least SIX. Cc must be sandwiched between 1 and 3 (the bread is 1 and 3, the filling is Cc). Both conditions must be TRUE — it's an AND rule, not OR. If either fails, the sand is poorly graded (SP).

Anchor Type

acronym

Why It Works

The 'sandwich' image makes the bounded range 1≤Cc≤3 tactile and visual.

Example Usage

Cu=10 (≥6 ✓), Cc=0.9 (not in sandwich ✗) → fails → SP, not SW.

Recall Trigger

'SIX AND SANDWICH' — both must hold for SW.

Tags

  • classification
  • USCS
  • gravel
  • well-graded

Topic

USCS Classification

Concept

Well-graded criteria for GRAVEL: Cu ≥ 4 AND 1 ≤ Cc ≤ 3

Anchor Id

A4

Difficulty

medium

Memory Aid

Gravel is ROUGHER and needs less uniformity — so it only needs Cu ≥ 4 (not 6). Rhyme: 'Gravel at FOUR, Sand at SIX — get both Cu and Cc to fix.' The Cc sandwich (1 to 3) is the SAME for both gravel and sand — only the Cu threshold changes.

Anchor Type

rhyme

Why It Works

The rhyme pairs the two thresholds together, preventing mix-ups on the board exam.

Example Usage

Gravel with Cu=5 (≥4 ✓) and Cc=2 (in sandwich ✓) → GW (well-graded gravel).

Recall Trigger

Gravel=4, Sand=6 — Cc sandwich same for both.

Tags

  • formula
  • Atterberg
  • plasticity

Topic

Atterberg Limits

Concept

Plasticity Index: PI = LL – PL

Anchor Id

A5

Difficulty

easy

Memory Aid

Think of plasticity as the WIDTH of a clay's 'plastic zone' — the range of moisture where you can mold it like clay. LL is the upper door (soil flows like liquid above it). PL is the lower door (soil crumbles below it). PI is the WIDTH of the doorway between the two doors. PI = LL − PL. The WIDER the doorway, the MORE plastic the soil.

Anchor Type

analogy

Why It Works

Spatial analogy (doorway width) makes the subtraction formula self-evident.

Example Usage

LL=45, PL=22 → PI = 45 − 22 = 23. Wide doorway = highly plastic clay.

Recall Trigger

Doorway between LL (top) and PL (bottom) — PI is its width.

Tags

  • formula
  • A-line
  • plasticity chart
  • USCS

Topic

Atterberg Limits / USCS

Concept

A-line equation: PI = 0.73(LL – 20) separates CLAY (above) from SILT (below)

Anchor Id

A6

Difficulty

medium

Memory Aid

STORY: Arthur Casagrande drew a LINE on his plasticity chart in 1948. He called it the A-line — 'A' for Arthur, and also 'A' for ABOVE = CLAY. He noticed clays always plotted ABOVE the line, silts BELOW. The slope is 0.73 — he remembered it as '73 cents on the dollar' (less than 1). The line starts at LL=20 (subtract 20 from LL). So: A-line → PI = 0.73(LL − 20). CLAY is aristocratic — it sits ABOVE the A-line.

Anchor Type

micro_story

Why It Works

The story ties the formula to its historical inventor, the slope to money, and position to aristocracy — three independent hooks.

Example Usage

At LL=45: A-line PI = 0.73(45−20) = 18.25. If actual PI=23 > 18.25, soil is above A-line → CLAY.

Recall Trigger

Arthur's A-line: 73 cents, minus 20, CLAY above.

Tags

  • classification
  • USCS
  • plasticity
  • fine-grained

Topic

USCS Classification

Concept

LL = 50 separates LOW plasticity (L) from HIGH plasticity (H) in USCS fine-grained soils

Anchor Id

A7

Difficulty

easy

Memory Aid

Visualize a SPEED LIMIT SIGN on the plasticity chart: '50 km/h — LOW SPEED ZONE.' Below LL=50 is the LOW SPEED ZONE (low plasticity, suffix L: CL, ML). Above LL=50 is HIGH SPEED ZONE (high plasticity, suffix H: CH, MH). The sign is painted exactly at LL=50 on the horizontal axis of the plasticity chart.

Anchor Type

visual_association

Why It Works

A road sign is a universally familiar image; linking it to the LL=50 boundary makes the threshold automatic.

Example Usage

LL=60 → above the 50 sign → HIGH plasticity → suffix H (e.g., CH if above A-line).

Recall Trigger

Speed limit 50 — below is L, above is H.

Tags

  • classification
  • USCS
  • fine-grained
  • acronym

Topic

USCS Classification

Concept

USCS fine-grained symbols: M=Silt, C=Clay, O=Organic

Anchor Id

A8

Difficulty

easy

Memory Aid

Remember: 'M-C-O = My Clay is Organic!' M = silt (from Swedish 'mo' = fine sand/silt), C = Clay, O = Organic. Or use: 'MaCO' — like the Philippine city Maco, Davao de Oro — a mnemonic city. When you think of Maco, you think M(silt)-C(clay)-O(organic).

Anchor Type

acronym

Why It Works

Using a Filipino place name (Maco) creates a culturally relevant hook unique to Filipino reviewees.

Example Usage

Fine-grained soil with LL=45, above A-line → C (clay), LL<50 → L → CL.

Recall Trigger

'MACO' — M=silt, C=clay, O=organic.

Tags

  • classification
  • USCS
  • coarse-grained
  • mnemonic

Topic

USCS Classification

Concept

USCS coarse-grained second-letter codes: W=well-graded, P=poorly-graded, M=silty, C=clayey

Anchor Id

A9

Difficulty

medium

Memory Aid

'When Policemen Meet Criminals' = W, P, M, C. A coarse soil (G or S) gets a second letter. Well-graded (W) and Poorly-graded (P) are for CLEAN gravels/sands (use Cu and Cc). Silty (M) and Clayey (C) are for DIRTY gravels/sands (fines ≥12%). When 5–12% fines, dual symbols (GW-GM, etc.).

Anchor Type

mnemonic

Why It Works

Police story creates a narrative sequence for the four coarse-grained second-letter options.

Example Usage

Gravel, Cu=20, Cc=2, fines<5% → clean, well-graded → GW.

Recall Trigger

'When Policemen Meet Criminals' — W, P, M, C.

Tags

  • classification
  • USCS
  • sieve
  • coarse vs fine

Topic

USCS Classification

Concept

USCS: Coarse-grained = >50% retained on #200 sieve; Fine-grained = ≥50% passing #200

Anchor Id

A10

Difficulty

easy

Memory Aid

The #200 sieve is the BOUNCER at a nightclub. If MORE THAN HALF the soil particles are too big to get past the bouncer (retained on #200), the soil is COARSE (G or S). If HALF or more squeeze through (pass #200), it's FINE (M, C, O). The bouncer's rule: majority decides the crowd's identity.

Anchor Type

analogy

Why It Works

Nightclub bouncer analogy makes the 50% threshold and the sieve action vivid and amusing.

Example Usage

Soil: 55% passing #200 → fine-grained → go to plasticity chart for M, C, or O.

Recall Trigger

Bouncer at #200 — majority retained = coarse, majority passing = fine.

Tags

  • classification
  • AASHTO
  • subgrade
  • rating

Topic

AASHTO Classification

Concept

AASHTO Rating: A-1 (best subgrade) to A-7 (worst mineral soil), A-8 = peat/organic

Anchor Id

A11

Difficulty

medium

Memory Aid

STORY: Imagine a SCHOOL GRADING SYSTEM — but REVERSED. In AASHTO, A-1 is like a FIRST HONOR student (best subgrade, coarse, gravelly). A-7 is like a failing student (worst, highly plastic clay). A-8 is EXPELLED — that's peat, not even usable. The higher the number, the WORSE the subgrade. So A-1 student builds roads; A-7 student destroys them; A-8 is kicked out of school.

Anchor Type

micro_story

Why It Works

Reversing the familiar grading scale creates memorable cognitive dissonance — exactly what makes memories stick.

Example Usage

AASHTO classification A-6 → poor subgrade, high plasticity fines → needs treatment before use as subbase.

Recall Trigger

Reversed school grades — A-1 is honor, A-7 fails, A-8 expelled.

Tags

  • formula
  • AASHTO
  • group index
  • subgrade

Topic

AASHTO Group Index

Concept

Group Index formula: GI = (F–35)[0.2 + 0.005(LL–40)] + 0.01(F–15)(PI–10)

Anchor Id

A12

Difficulty

hard

Memory Aid

Break the GI formula into TWO CHUNKS: CHUNK 1 (LL part) = (F–35)[0.2 + 0.005(LL–40)]. CHUNK 2 (PI part) = 0.01(F–15)(PI–10). Each chunk has its own 'starting F': Chunk 1 uses (F–35), Chunk 2 uses (F–15). Chunk 1 uses LL–40, Chunk 2 uses PI–10. Memory: '35 and 15 are the F-anchors; 40 and 10 are the limit-anchors.' Higher GI = WORSE soil. Minimum GI = 0 (never negative).

Anchor Type

chunking

Why It Works

Chunking the complex 4-variable formula into two independent parts reduces cognitive load by 50%.

Example Usage

F=60, LL=45, PI=23: Chunk1=(60-35)[0.2+0.005(45-40)]=25(0.225)=5.625; Chunk2=0.01(60-15)(23-10)=0.01(45)(13)=5.85; GI=5.625+5.85≈11.

Recall Trigger

Two chunks: LL-chunk (F-35, LL-40) and PI-chunk (F-15, PI-10).

Tags

  • formula
  • AASHTO
  • caps
  • group index

Topic

AASHTO Group Index

Concept

GI caps: (F–35) max 40, (F–15) max 40, (LL–40) max 20, (PI–10) max 20

Anchor Id

A13

Difficulty

hard

Memory Aid

Visualize FOUR CAPPED BOTTLES arranged in a row. Each bottle's cap limits how much liquid comes out. Bottle 1: (F–35) capped at 40. Bottle 2: (F–15) capped at 40. Bottle 3: (LL–40) capped at 20. Bottle 4: (PI–10) capped at 20. All four bottles have caps! If your calculation exceeds the cap, USE THE CAP. Two bottles cap at 40, two cap at 20.

Anchor Type

visual_association

Why It Works

Visual symmetry (two 40s and two 20s) plus the physical cap image prevents forgetting the upper limits.

Example Usage

If F=90, then F-35=55 → exceeds cap of 40 → use 40. F-15=75 → exceeds 40 → use 40.

Recall Trigger

Four capped bottles — two at 40, two at 20.

Tags

  • definition
  • gradation
  • D10
  • permeability

Topic

Grain-Size Distribution

Concept

D10 is called the Effective Size

Anchor Id

A14

Difficulty

easy

Memory Aid

D10 is the SMALLEST 10% of particles — they control FLOW through the soil. Think of a pipe: the NARROWEST POINT controls how much water flows through, not the average pipe diameter. D10 is that narrowest bottleneck. That's why it's 'effective' — it effectively controls permeability. Hazen's permeability equation (k ≈ C × D10²) is literally built around D10.

Anchor Type

analogy

Why It Works

The pipe bottleneck image makes the concept of 'effective' size physically intuitive.

Example Usage

Board exam: 'What does D10 represent?' → Effective size — the diameter controlling permeability.

Recall Trigger

Bottleneck pipe = D10 controls flow = Effective Size.

Tags

  • sequence
  • Atterberg
  • definition
  • classification

Topic

Atterberg Limits

Concept

The four Atterberg limits in order of increasing moisture: SL < PL < LL

Anchor Id

A15

Difficulty

easy

Memory Aid

STORY: A clay sample wakes up in the morning DRY and SOLID (below Shrinkage Limit, SL). As it rains, it absorbs water and enters the SEMI-SOLID state. More rain — it crosses the PLASTIC LIMIT (PL) and becomes moldable like clay pottery. Heavy monsoon — it crosses the LIQUID LIMIT (LL) and FLOWS like a landslide. Sequence: SL → PL → LL (Solid → Semi-solid → Plastic → Liquid). 'SPL-L' or think: 'Some Poor Levees Leak' = Solid, Plastic, Liquid, Limits.

Anchor Type

micro_story

Why It Works

The monsoon story is culturally Filipino and maps directly to increasing moisture content states.

Example Usage

Board: 'What is the order of Atterberg limits?' → SL < PL < LL with increasing moisture.

Recall Trigger

Monsoon story: dry → SL → PL → LL → flows.

Tags

  • definition
  • gradation
  • classification

Topic

Grain-Size Distribution

Concept

Poorly graded: uniform particle size (all same) vs Gap-graded: missing middle sizes

Anchor Id

A16

Difficulty

medium

Memory Aid

POORLY GRADED = a class where ALL students are the same height (uniform — like monoculture rice). GAP-GRADED = a class with tall and short students but NO medium-height students (the middle is missing — like a bimodal size distribution). Both are NOT well-graded. A WELL-GRADED soil has a full range like a diverse class of many different heights.

Anchor Type

analogy

Why It Works

Classroom height analogy is universally relatable and clearly distinguishes three gradation types.

Example Usage

Two-humped gradation curve → gap-graded (missing middle sizes) → NOT well-graded.

Recall Trigger

Same height class = poorly graded; missing middle heights = gap-graded.

Tags

  • formula
  • U-line
  • plasticity chart
  • error check

Topic

Atterberg Limits / Plasticity Chart

Concept

U-line on plasticity chart: PI = 0.9(LL – 8) — upper bound for natural soils

Anchor Id

A17

Difficulty

hard

Memory Aid

The U-line is the UPPER FENCE of the plasticity chart. No real soil should plot ABOVE the U-line — if yours does, CHECK YOUR DATA for errors. U = Upper = 0.9(LL–8). Remember: U-line uses 0.9 (bigger slope than A-line's 0.73) and subtracts 8 (not 20). If A-line is the 'road,' U-line is the 'guardrail above the road.' U-line for U-pper bound.

Anchor Type

visual_association

Why It Works

Road vs guardrail metaphor creates spatial hierarchy between A-line and U-line on the chart.

Example Usage

Plotted point above U-line → suspect lab error in LL or PL measurement.

Recall Trigger

U-line = upper guardrail = 0.9(LL–8). Error check if above it.

Tags

  • classification
  • USCS
  • organic
  • peat

Topic

USCS Classification

Concept

PT = Peat in USCS — highly organic, not classified by gradation or plasticity

Anchor Id

A18

Difficulty

easy

Memory Aid

STORY: PT stands for 'Problema Talaga' (Real Problem). Peat is the rebel of soil classification — it refuses to follow normal USCS rules. It is HIGHLY ORGANIC, dark brown/black, smells like a swamp, has very HIGH compressibility and LOW strength. Engineers call it PT because it IS a problem — it cannot be used as structural fill or subgrade without total replacement or deep foundation bypass.

Anchor Type

micro_story

Why It Works

Filipino expression 'Problema Talaga' is humorous and relatable, making PT instantly memorable.

Example Usage

Site investigation reveals PT — recommend pile foundation or soil replacement. Never use PT as subgrade.

Recall Trigger

'Problema Talaga' = PT = Peat = skip or replace.

Tags

  • classification
  • AASHTO
  • subgroup
  • mnemonic

Topic

AASHTO Classification

Concept

AASHTO A-1 subgroups: A-1-a (gravel/stone) and A-1-b (coarse sand); A-3 = fine sand

Anchor Id

A19

Difficulty

medium

Memory Aid

A-1-a: 'A-1-a = Aggregate' → stone fragments and gravel. A-1-b: 'A-1-b = Bigger sand' → coarse sand. A-3: 'A-3 = Alone (clean fine sand) = Arena sand' → fine clean beach sand. Remember the order A-1 > A-3 in quality: gravels before fine sands. A-2 is the borderline silty/clayey gravel group.

Anchor Type

mnemonic

Why It Works

Connecting A-1-a to Aggregate and A-3 to Arena (beach/fine sand) creates two strong Filipino-relevant word hooks.

Example Usage

AASHTO question: fine clean sand, non-plastic → A-3 classification.

Recall Trigger

A-1-a=Aggregate (gravel), A-1-b=Bigger sand (coarse), A-3=Arena (fine sand).

Tags

  • AASHTO
  • group index
  • special case

Topic

AASHTO Group Index

Concept

GI = 0 for all A-1, A-2-4, A-2-5, and A-3 soils

Anchor Id

A20

Difficulty

medium

Memory Aid

Rhyme: 'The BEST soils score ZERO — heroes don't need GI, GI is for zero heroes!' The best AASHTO subgrades (A-1 and A-3) report GI=0 always — no formula needed. Only A-4 through A-7 (and A-2-6, A-2-7) need the GI formula. So: if your AASHTO group is in the top tier, just write GI=0 and move on.

Anchor Type

rhyme

Why It Works

The rhyme creates a humor link ('zero heroes') that makes the special case rule memorable.

Example Usage

A-3 soil: GI = 0 (always). No formula calculation needed.

Recall Trigger

'Zero heroes' — top AASHTO groups always GI=0.

Revision Game

Coefficient of Uniformity (Cu)

Clue

I am a ratio that tells you how wide the grain-size distribution is. Mathematically, I am D60 divided by D10. For a well-graded sand, I must be at least 6. What am I?

Memory Link

A1 — '60 on top, 10 on bottom, boss stays on top.'

Coefficient of Gradation / Curvature (Cc)

Clue

I am the middle child of the gradation family. I appear SQUARED in the numerator of my formula and my two siblings are multiplied in the denominator. For well-graded soil, I must be between 1 and 3. What am I?

Memory Link

A2 — 'Middle child squared, parents multiplied below.'

A-line, drawn by Arthur Casagrande; equation: PI = 0.73(LL − 20)

Clue

I am the LINE on the plasticity chart that separates clays from silts. My slope is 0.73, and I subtract 20 from the liquid limit. If your data point is ABOVE me, you have clay. Below me, silt. Who drew me?

Memory Link

A6 — 'Arthur's 73-cent line starting at 20.'

Group Index (GI); report as 0 if negative

Clue

In AASHTO, I am the NUMBER that summarizes subgrade quality. The higher my value, the WORSE the soil. I am always an integer, and I am never negative. If you compute me as −2, you report me as this value instead.

Memory Link

A12 and A20 — 'Two chunks, floor at zero.'

GW (Well-graded Gravel); Cu ≥ 4 AND 1 ≤ Cc ≤ 3

Clue

I am a USCS soil symbol. My first letter tells you I am predominantly gravel (retained on No. 4 sieve). My second letter W tells you I satisfy BOTH the Cu and Cc criteria. What am I and what are those criteria?

Memory Link

A4 — 'Gravel at FOUR, Sand at SIX — Cc sandwich same for both.'

PT = Peat (highly organic soil)

Clue

I am the Filipino-language memory aid for remembering USCS peat. My USCS symbol is PT. My English name starts with P. In Filipino I am 'Problema Talaga' because I cause foundation nightmares. What soil am I?

Memory Link

A18 — 'Problema Talaga' = PT = Peat.

(F − 35) and (F − 15) are both capped at 40

Clue

I have four brothers in the Group Index formula. Two of us are capped at 40, and two of us are capped at 20. We are the DIFFERENCES inside the GI equation: (F-35), (F-15), (LL-40), and (PI-10). Which two of us are capped at 40?

Memory Link

A13 — 'Four capped bottles — two at 40 (the F-terms), two at 20 (the LL and PI terms).'

Liquid Limit (LL)

Clue

I am a moisture content. At exactly my value, a fine-grained soil transitions from the plastic state to the liquid state. I am measured using the Casagrande cup or the fall-cone test. My symbol is two capital letters. What am I?

Memory Link

A15 — Monsoon story: soil crosses LL and flows like a landslide.

Formula Mnemonics

Formula

Cu = D60 / D10

Mnemonic

'SIXTY over TEN = uniformiTY' — 60 is bigger, it sits on top. Cu measures the SPREAD of grain sizes.

When To Use

Always when evaluating gradation of coarse-grained soils. Cu ≥ 6 for well-graded sand, Cu ≥ 4 for well-graded gravel.

What Each Part Means

D60 = diameter at which 60% of sample passes (by mass); D10 = effective size, diameter at which 10% passes. Cu = ratio showing breadth of grain-size distribution.

Formula

Cc = D30² / (D10 × D60)

Mnemonic

'Middle child SQUARED, parents multiplied below' — D30 is the middle value, squared in the numerator; D10 and D60 are the extremes, multiplied in the denominator.

When To Use

Second check for well-graded classification. 1 ≤ Cc ≤ 3 required (same for gravel and sand). Must satisfy BOTH Cu AND Cc for well-graded.

What Each Part Means

D30 = diameter at which 30% of sample passes; D10 and D60 = lower and upper reference diameters. Cc = shape of the gradation curve in the middle range.

Formula

PI = LL − PL

Mnemonic

'Plasticity Index = width of the plastic DOORWAY between LL and PL.' Subtract the lower door from the upper door.

When To Use

For all fine-grained soil classification (USCS and AASHTO). PI used to plot on plasticity chart. PI < 4 = non-plastic.

What Each Part Means

LL = liquid limit (upper boundary of plastic state); PL = plastic limit (lower boundary of plastic state); PI = range of moisture over which soil behaves plastically.

Formula

A-line: PI = 0.73(LL − 20)

Mnemonic

'Arthur's 73-cent line starting at 20' — slope 0.73 (like 73 cents per dollar of LL above 20). Points ABOVE = clay (C), points BELOW = silt (M).

When To Use

Plotting fine-grained USCS classification. Evaluate computed PI vs. A-line PI at same LL to determine C vs. M classification.

What Each Part Means

0.73 = slope of the A-line on the plasticity chart; 20 = horizontal offset (the line crosses LL=20 at PI=0); PI and LL are from lab tests.

Formula

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

Mnemonic

'Two chunks: LL-chunk uses F-35 and LL-40; PI-chunk uses F-15 and PI-10. Four caps: two at 40, two at 20. Floor at zero, round to whole number.'

When To Use

For AASHTO A-4 through A-7 and A-2-6, A-2-7 soils only. Always report as integer ≥ 0. Written in parentheses after AASHTO designation, e.g. A-6(11).

What Each Part Means

F = percent passing No. 200 sieve (as a number, e.g. 60 not 0.60); LL = liquid limit; PI = plasticity index; GI = group index (higher = poorer subgrade quality).

Quick Recall Chains

Chain Title

USCS Classification Steps for Fine-Grained Soils

Recall Test

Without looking: What are the 7 steps to classify a fine-grained soil in USCS? Start with the bouncer.

Memory Chain

Chain story: 'The BOUNCER (Step 1) lets fine soils in. The LAB DOCTOR (Step 2) measures LL and PI. The ORGANIC INSPECTOR (Step 3) sniff-checks for organics. The CARTOGRAPHER (Step 4) plots the point. ARTHUR (Step 5) draws his A-line. The SPEED LIMIT SIGN (Step 6) at 50 decides L or H. The NAMER (Step 7) writes the final symbol.' Bouncer → Doctor → Inspector → Cartographer → Arthur → Sign → Namer = B-D-I-C-A-S-N.

Items To Remember

  • Step 1: Check % passing No. 200 sieve — if ≥ 50%, it is fine-grained
  • Step 2: Determine LL and PI from Atterberg limit tests
  • Step 3: Check if organic (LL after oven-drying < 0.75 × original LL)
  • Step 4: Plot (LL, PI) on plasticity chart
  • Step 5: Compare PI with A-line: above = C (clay), below = M (silt)
  • Step 6: Compare LL with 50: below = L (low), above = H (high)
  • Step 7: Combine: e.g., C + L = CL (low-plasticity clay)

Chain Title

Grain-Size Boundary Sizes (from coarse to fine)

Recall Test

What sieve size (mm) corresponds to No. 4? No. 200? What separates gravel from sand? What separates sand from silt/clay?

Memory Chain

Use the mnemonic 'Big Cats Growl — Sometimes Silently' = Boulders, Cobbles, Gravel — Sand, Silt/Clay. For sieve sizes, anchor: No. 4 sieve = 4.75 mm (sand/gravel boundary), No. 200 sieve = 0.075 mm (sand/fines boundary). The 'famous four': 75mm, 19mm, 4.75mm, 0.075mm are your FOUR KEY BOUNDARIES.

Items To Remember

  • Boulders: > 300 mm
  • Cobbles: 75 mm – 300 mm
  • Gravel (coarse): 19 mm – 75 mm
  • Gravel (fine): 4.75 mm – 19 mm
  • Sand (coarse): 2.00 mm – 4.75 mm
  • Sand (medium): 0.425 mm – 2.00 mm
  • Sand (fine): 0.075 mm – 0.425 mm
  • Silt and Clay: < 0.075 mm (passing No. 200)

Chain Title

AASHTO Groups in Order of Decreasing Subgrade Quality

Recall Test

Which AASHTO group is the best for highway subgrade? The worst mineral soil? What is A-8?

Memory Chain

Story: 'First-class AGGREGATE (A-1-a) and BIG SAND (A-1-b) are TOP students. ARENA sand (A-3) is third. The A-2 squad has four sub-members (4,5,6,7). Then the problem soils: A-4 to A-7 are increasingly bad students. A-8 is expelled peat.' Key rule: NUMBER GOES UP = QUALITY GOES DOWN.

Items To Remember

  • A-1-a: gravel, stone — BEST
  • A-1-b: coarse sand
  • A-3: fine clean sand
  • A-2-4 and A-2-5: silty/clayey gravel and sand (low PI)
  • A-2-6 and A-2-7: silty/clayey gravel and sand (high PI)
  • A-4: silty soil, low LL
  • A-5: silty soil, high LL
  • A-6: clayey soil, low LL
  • A-7-5 and A-7-6: highly plastic clay — WORST mineral
  • A-8: peat/organic — EXPELLED

Chain Title

Well-Graded Criteria Checklist

Recall Test

A sand has Cu=8 and Cc=0.85. Is it well-graded? Why or why not? (Answer: No — Cc not in sandwich)

Memory Chain

'GRAVEL needs FOUR, SAND needs SIX, BOTH need the SANDWICH (Cc between 1 and 3).' Mnemonic sentence: 'Gravel-4, Sand-6, Cc-Sandwich — ALL THREE or FAIL.' Failing either Cu or Cc criterion immediately gives you a P (poorly graded) second letter.

Items To Remember

  • For GRAVEL: Cu ≥ 4
  • For SAND: Cu ≥ 6
  • For BOTH: 1 ≤ Cc ≤ 3
  • BOTH criteria must be satisfied simultaneously
  • If either fails → Poorly Graded (GP or SP)
  • GI if using AASHTO: higher GI = worse soil

Chain Title

Group Index Computation Order

Recall Test

What is the GI if F=60, LL=45, PI=23? Walk through all 8 steps from memory.

Memory Chain

'F first, TWO CHUNKS (LL then PI), FOUR CAPS (40-20-40-20), ADD them, ROUND and FLOOR.' Memory sentence: F-Chunk1-Cap-Chunk2-Cap-Add-Round-Floor = FCCCCARFl. Or simply: 'Two-chunk sandwich with caps, add, round, never go below zero.'

Items To Remember

  • Identify F (% passing No. 200) — use as a NUMBER not decimal
  • Compute LL-chunk: (F−35)[0.2 + 0.005(LL−40)]
  • Apply cap: (F−35) ≤ 40, (LL−40) ≤ 20, no negatives
  • Compute PI-chunk: 0.01(F−15)(PI−10)
  • Apply cap: (F−15) ≤ 40, (PI−10) ≤ 20, no negatives
  • Add both chunks: GI = LL-chunk + PI-chunk
  • Round to nearest integer
  • Floor at 0 (never negative)
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