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Railway Ground Hazard Risk Management · Part V · Subsurface Exploration
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Chapter 10 — Laboratory Testing Program

Laboratory testing is the scientific foundation of every geotechnical design.
Authors: Daniel P. Colwell and Mario Ruel

Geotechnical Services Manual for Railroad Clients

A Consultant's Reference for Delivering Geotechnical Engineering Services Across North American Railroad Capital Programs

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10.0 Executive Summary

Laboratory testing is the scientific foundation of every geotechnical design. Field observations classify soils and rock; laboratory tests quantify the engineering properties that drive bearing capacity, settlement, slope stability, and pavement design calculations. For railroad capital projects, the consequences of poorly selected or inadequately executed lab programs are magnified by the scale of the loading environment — 286,000-lb gross rail load, cyclic dynamic amplification, and serviceability tolerances measured in fractions of an inch.

This chapter defines the laboratory testing program for geotechnical investigations serving all nine client railroads: CSXT, NSR, G&W, UPRR, BNSF, CPKC, Amtrak, and CN. It covers test selection by project type, ASTM standards for every test method, sample handling and chain of custody, laboratory QA/QC, turnaround time expectations by client, and accreditation requirements. All test results are expressed in English units throughout. The consultant must confirm current ASTM edition requirements with each client's engineering standards before mobilizing a laboratory program — clients periodically update their referenced editions.

10.1 Background and Railroad Context

The laboratory testing program for a railroad geotechnical investigation must be:

  1. Purposeful. Every test must serve a defined analytical need. Ordering triaxial shear strength tests for a track subgrade investigation without a slope stability analysis to use them wastes budget and delays the schedule. Order only what the analysis matrix demands.
  2. Sufficient. Under-testing is the more common and more dangerous failure mode. A single consolidation test in a soft clay stratum extending over 500 ft is not statistically defensible. A minimum of one test per identified stratum per project segment, plus additional tests where variability is observed, is the standard expected by all Class I client railroads.
  3. QA-verified. All nine client railroads that maintain laboratory accreditation requirements (see Section 10.8) will reject data produced by non-accredited laboratories. Confirm accreditation before awarding the laboratory subcontract.
10.2 Test Program Design by Project Type
Table 10-1. Laboratory Testing Matrix by Railroad Project Type
TestSiding/Track Ext.Intermodal YardBridge/CulvertMainline RehabEmergency
Moisture content (D2216)All samplesAll samplesAll samplesAll samplesAll samples
Atterberg limits (D4318)Fine-grainedFine-grainedFine-grainedFine-grainedFine-grained
Grain size (D6913/D7928)SelectSelectSelectSelectPriority
Specific gravity (D854)Consolidation setAll triaxial setAll triaxial setConsolidation setPriority
Standard Proctor (D698)Structure backfillAs neededStructure backfillAs neededNot typically
Modified Proctor (D1557)EmbankmentYesEmbankmentYesNot typically
CBR (D1883)SubgradePavement designNot typicallySubgrade rehabNot typically
Resilient Modulus (T307)Subgrade (Amtrak)Pavement designNot typicallySubgrade rehabNot typically
Consolidation (D2435)Soft claySoft claySoft claySoft clayNot typically
UU Triaxial (D2850)Not typicallySlope stabilitySlope stabilitySlope stabilityQuick stability
CU Triaxial (D4767)Not typicallyCritical slopesCritical slopesCritical slopesNot typically
Direct shear (D3080)Not typicallyResidual φ'Rock jointsResidual φ'Not typically
Unconfined compression (D2166)Not typicallySelectSelectSelectQuick s_u
Permeability (D2434/D5084)Drainage designDrainage designDrainage designDrainage designNot typically
Point load index (D5731)Rock cutsRock cutsRock cutsRock cutsNot typically
Sodium sulfate soundnessBallastBallastNot typicallyBallast rehabNot typically
LA Abrasion (C131)BallastBallastNot typicallyBallast rehabNot typically

Reference graphics

Tests for Soil
Tests for Soil
Rock Tests
Rock Tests

Ballast, subballast and fouling test suite

For ballast-source qualification, ballast condition surveys and subballast design, add the following to the soil program:

  • Ballast source: petrographic analysis; LA Abrasion; Mill Abrasion (wet) and the Abrasion Number, AN = LAA + 5 MA; wet attrition (Deval) for soft stone in wet track; clay lumps and friable particles (ASTM C142); flat and elongated particles; specific gravity and absorption.
  • Fouled ballast: trench samples taken by zone (crib, shoulder, top, bottom). Report the fraction finer than 3/8 in. as fouling material and the fraction finer than No. 200 as fines. Compute the fouling index, and identify the source of the fines by color, plasticity and, where it matters, SEM or XRD mineralogy.
  • Subballast: gradation for the filter checks against both ballast and subgrade; LA Abrasion ≤ 50; LL and PI on the minus-No. 40 fraction (≤ 25 and ≤ 6).

After Selig & Waters (1994), chs. 7, 8 and 9. Full reference under Supplemental Sources.

10.3 Test Methods — ASTM Standards and English Unit Outputs
10.3.1 Water Content (ASTM D2216)

Method: Oven-dry at 230 ± 9°F for minimum 16 hours (peat and organic soils: 140°F).

Equation:

w = (M_water / M_dry) × 100%

where M_water = mass of water (mass_wet − mass_dry); M_dry = mass of dry soil.

Output: Water content w (%), dimensionless.

Minimum frequency: Every disturbed and undisturbed sample. Water content is the most fundamental test in the program — never omit it.

Reference graphics

Water Content Test
Water Content Test
10.3.2 Atterberg Limits (ASTM D4318)

Liquid Limit (LL): Casagrande cup method; flow curve plotted; LL at N = 25 blows.

Plastic Limit (PL): ⅛-in. thread rolling on glass plate.

Plasticity Index: PI = LL − PL

Liquidity Index: LI = (w − PL) / PI

Activity: A = PI / (% < 0.002 mm)

Output: LL, PL, PI (all %); LI and A dimensionless.

Minimum frequency: 1 per fine-grained stratum per boring; 1 per 5 ft depth in highly variable fine-grained profiles.

Reference graphics

Atterberg Limits
Atterberg Limits

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Liquid Limit and Plastic Limit Tests
Liquid Limit and Plastic Limit Tests
10.3.3 Grain Size Analysis

Sieve analysis (ASTM D6913): Applicable for material with particles retained on the No. 200 sieve. Sieves: 3 in., 2 in., 1½ in., 1 in., ¾ in., ½ in., No. 4, No. 10, No. 20, No. 40, No. 60, No. 100, No. 200.

Hydrometer analysis (ASTM D7928): For material passing No. 200 (clay and silt sizes). Combined with sieve for full gradation curve (ASTM D6913 + D7928).

Key outputs:

  • D₁₀, D₃₀, D₆₀ (in., or mm for reference): particle diameters at 10%, 30%, 60% passing
  • C_u = D₆₀ / D₁₀ (uniformity coefficient, dimensionless)
  • C_c = D₃₀² / (D₆₀ × D₁₀) (coefficient of curvature, dimensionless)
  • Fines content: % passing No. 200 sieve

Minimum frequency: 1 per stratum per boring for classification; additional tests for filter design and liquefaction susceptibility assessment.

Reference graphics

Sieve Analysis Test
Sieve Analysis Test

Reference graphics · click to zoom

Hydrometer Analysis
Hydrometer Analysis
10.3.4 Specific Gravity (ASTM D854)

Method: Pycnometer (volumetric flask) method; soil displaced volume in de-aired water.

Equation:

G_s = M_sd / (M_sd + M_pw − M_spw) (dimensionless)

where M_sd = mass of dry soil; M_pw = mass of pycnometer + water; M_spw = mass of pycnometer + soil + water.

Typical values: G_s = 2.60–2.75 (mineral soils); 2.60–2.65 (clean quartz sand); 2.70–2.80 (iron-rich soils).

Minimum frequency: 1 per soil type in each project; required for void ratio and consolidation calculations.

Reference graphics

Soil Index Properties
Soil Index Properties
10.3.5 Compaction Tests

Standard Proctor (ASTM D698):

  • Method A: material passing No. 4 sieve; 3 layers; 25 blows per layer; 5.5-lb hammer; 12-in. drop
  • Energy: 12,375 ft·lb/ft³

Modified Proctor (ASTM D1557):

  • Method A or C: 5 layers; 25 blows per layer; 10-lb hammer; 18-in. drop
  • Energy: 56,250 ft·lb/ft³

Output: Compaction curve (γ_d pcf vs. w %); γ_d,max (pcf); w_opt (%)

Zero-Air-Voids (ZAV) line: γ_d,ZAV = G_s × γ_w / (1 + G_s × w/100) (pcf)

Minimum frequency: 1 Modified Proctor per borrow source or fill material type (not per sample); repeat if source changes during construction.

Reference graphics

Standard Proctor Test
Standard Proctor Test
Proctor Compaction Test
Proctor Compaction Test

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Soil Compaction and Maximum Dry Density
Soil Compaction and Maximum Dry Density
10.3.6 California Bearing Ratio (ASTM D1883)

Method: Laboratory CBR at Modified Proctor density (95% RC minimum). Specimen soaked 96 hours at Standard loading conditions.

Penetration resistance equation:

CBR = (P_sample / P_standard) × 100%

where:

  • P_sample = measured force at 0.1 in. or 0.2 in. penetration (lb)
  • P_standard = standard force at same penetration; 0.1 in.: 3,000 lb; 0.2 in.: 4,500 lb

Use the higher CBR from 0.1 or 0.2 in. penetration (recheck if 0.2 in. governs).

Output: CBR (%); used directly for pavement design (Chapter 18, Section 18.1).

Minimum frequency: 1 per subgrade soil type per project; 3+ tests for intermodal yard pavement design.

Reference graphics

California Bearing Ratio (CBR) Test
California Bearing Ratio (CBR) Test
10.3.7 Resilient Modulus (AASHTO T307)

Method: Cyclic triaxial test with conditioning sequence (500 cycles at 4 psi deviator) followed by 15 stress states per AASHTO T307 protocol.

M_r from regression (NCHRP 1-28A model):

M_r = k₁ × P_a × (θ/P_a)^k₂ × (τ_oct/P_a + 1)^k₃ (psi)

where:

  • P_a = atmospheric pressure = 2,117 psf = 14.7 psi
  • θ = bulk stress = σ₁ + σ₂ + σ₃ (psi)
  • τ_oct = octahedral shear stress (psi)
  • k₁, k₂, k₃ = regression constants from test

Minimum frequency: Required by Amtrak for all NEC pavement subgrade investigations; recommended by BNSF for intermodal yard pavement design; 1 test per subgrade soil type.

Repeated-load testing for track subgrade

Repeated-load triaxial (or simple shear) tests give two results that matter for track:

  • The resilient modulus, Er = cyclic deviator stress ÷ recoverable axial strain.
  • The rate at which plastic strain accumulates.

Tiny plastic strains per cycle add up to large settlement over millions of cycles, so report both.

What to look for.

  • In drained or unsaturated tests, the plastic increment shrinks with each cycle.
  • In saturated specimens, or at stresses near failure, the increment can grow. That is the runaway case.
  • Running a series of stress levels identifies the threshold stress used in Chapter 2, §2.4.2.
  • Er typically rises over the first cycles. Granular materials need several thousand cycles to stabilize, and their modulus is strongly dependent on confining pressure (Er = K1 θK2, where θ is bulk stress).

Test conditions. Test at the field moisture and density, including a wet-of-optimum case (Chapter 18, §18.2.2). Fine-grained modulus falls steeply on the wet side.

After Selig & Waters (1994), chs. 3, 7 and 10. Full reference under Supplemental Sources.

10.3.8 One-Dimensional Consolidation (ASTM D2435)

Method A: Incremental load; load doubling each 24-hour interval; loads: 125–250–500–1,000–2,000–4,000–8,000 psf (standard); extend to 16,000 psf for deep or heavily preloaded sites.

Method B: Constant rate of strain (CRS); continuous loading at a controlled strain rate.

Key outputs (English units):

ParameterSymbolUnitsEquation
Compression indexC_cdimensionlessSlope of e-log σ'_v curve (NC range)
Recompression indexC_rdimensionlessSlope of e-log σ'_v curve (OC range); ≈ C_c/5 to C_c/10
Preconsolidation pressureσ'_ptsfCasagrande graphical construction
OCR—dimensionlessσ'_p / σ'_v0
Coefficient of consolidationc_vft²/dayc_v = T_v × H_dr² / t (see Chapter 12)
Secondary compression indexC_αdimensionlessΔe / Δ log t (secondary range)

Minimum frequency: 1 per fine-grained stratum per project; minimum 3 tests in any stratum requiring settlement analysis.

Reference graphics

Why Soil Consolidation Happens
Why Soil Consolidation Happens

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Soil Consolidation Testing
Soil Consolidation Testing
10.3.9 Unconsolidated-Undrained (UU) Triaxial (ASTM D2850)

Method: Undrained shear test on undisturbed sample; three specimens at different confining pressures (typically 500, 1,000, 2,000 psf); no drainage allowed during shear.

Output: s_u (psf or tsf) from Mohr circle at failure; φ_u ≈ 0° for saturated clay.

Note: For saturated clay, UU test gives s_u directly regardless of confining pressure — the Mohr circle diameter is constant. UU is appropriate for short-term (undrained) stability analysis only.

Minimum frequency: 1 per soft or medium clay stratum per boring at critical cross-sections (slope stability, embankment loading over soft clay).

Reference graphics

Triaxial Shear Test
Triaxial Shear Test

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Unconsolidated–Undrained (UU) Triaxial Test
Unconsolidated–Undrained (UU) Triaxial Test

Strength parameters: match the test to the drainage condition

  • CD tests give c′ ≈ 0 for both loose and dense soils. A small c′ appears only from a curved envelope or heavy overconsolidation. Use effective-stress parameters for drained problems.
  • CU tests. Dense sand develops negative excess pore pressure, so its undrained strength exceeds the drained strength (up to the limit of cavitation). Loose sand develops positive pore pressure, so its undrained strength is lower. φ′ is the same as from CD tests.
  • UU tests give φ = 0 and c = su, which depends only on the initial state. This is the convenient basis for short-term undrained loading.
  • Unconfined compression works only on fine soils that stand unsupported. Disturbance and unloading make it underestimate su.
  • Partially saturated subgrade. Pore pressure is rarely known, so analyze in total stress with both c and φ. Soil at low saturation behaves essentially drained in any test.

After Selig & Waters (1994), ch. 3. Full reference under Supplemental Sources.

10.3.10 Consolidated-Undrained (CU) Triaxial with Pore Pressure (ASTM D4767)

Method: Specimens consolidated to two or three effective confining pressures (σ'₃); sheared undrained with pore pressure measurement; effective stress Mohr circles give c' and φ'.

Output: c' (psf), φ' (degrees) — effective strength parameters for long-term (drained) analysis.

Minimum frequency: Required for all critical slope stability analyses (NSR clay shale, CPKC prairie clay, CN sensitive marine clay); 1 set (3 specimens) per stratum per project minimum.

Reference graphics

Triaxial Shear Test Explained
Triaxial Shear Test Explained
Drained vs Undrained Analysis
Drained vs Undrained Analysis

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Triaxial Compression Test of Soil
Triaxial Compression Test of Soil
10.3.11 Direct Shear (ASTM D3080)

Method: Specimen sheared at constant normal stress; three tests at different normal stresses.

Peak and residual strength:

τ_peak = c' + σ_n × tan φ'_peak (psf)

τ_residual = σ_n × tan φ'_r (psf, c' = 0 for residual)

Output: c' (psf), φ' (degrees), φ'_r (degrees).

Use cases: Residual strength for CPKC clay shale and NSR weathered shale slope stability; rock joint shear strength for cut slope design.

Minimum frequency: 1 per stratum requiring residual strength parameters; rock joints: minimum 3 direct shear tests per joint set per project.

Reference graphics

Direct Shear Test
Direct Shear Test
10.3.12 Unconfined Compression (ASTM D2166)

Method: Axial loading to failure at unconfined conditions (σ₃ = 0). Quick and inexpensive.

Output: q_u (psf or tsf); s_u = q_u / 2.

Limitation: UU triaxial provides more reliable s_u; unconfined compression can underestimate s_u in fissured or brittle clays. Use for screening; not for final design in critical applications.

Minimum frequency: Appropriate for routine s_u checks on Shelby tube samples; supplement with UU triaxial for design-level analysis.

Reference graphics

Unconfined Compression Test
Unconfined Compression Test
10.3.13 Hydraulic Conductivity (Permeability)

Constant head (ASTM D2434): For coarse-grained soils (k > 10⁻³ ft/day).

k = (Q × L) / (A × h × t) (ft/day)

where Q = flow volume (ft³); L = specimen length (ft); A = cross-sectional area (ft²); h = head differential (ft); t = test duration (day).

Flexible wall permeameter (ASTM D5084): For fine-grained soils (k < 10⁻³ ft/day).

k = (a × L × ln(h₁/h₂)) / (A × t) (ft/day)

where a = standpipe area (ft²); L = specimen length (ft); h₁, h₂ = head at start and end; t = elapsed time (day).

Minimum frequency: 1 per stratum for drainage design; 3 per stratum for seepage analysis through embankments or dams.

Reference graphics

Constant Head Permeability Test
Constant Head Permeability Test
10.3.14 Point Load Index (ASTM D5731)

Method: Rock core or irregular lump loaded to failure between conical platens.

Point load strength index:

I_s = P / D_e² (psi or psf)

where P = failure load (lb); D_e = equivalent core diameter (in.).

Size-corrected index:

I_s(50) = F × I_s where F = (D_e/1.97 in.)^0.45

Estimated UCS of rock:

q_u(rock) ≈ 24 × I_s(50) (psi) [Broch & Franklin 1972; I_s in psi]

Minimum frequency: Minimum 5 specimens per rock type per project; not a substitute for UCS testing for critical rock foundation designs.

Reference graphics

Rock Triaxial Testing
Rock Triaxial Testing
Physico-Mechanical Properties of Rocks
Physico-Mechanical Properties of Rocks
Supplemental reference · LEVI Library

USACE Q / R / S nomenclature and common triaxial errors

USACE manuals (EM 1110-2-1902 slope stability, EM 1110-2-2504 sheet piles, and others cited in this manual) use letter names for the basic triaxial tests: Q = unconsolidated-undrained (UU); R = consolidated-undrained (CU); S = consolidated-drained (CD), which is also the long-term drained case. The Q test applies only to soils that are not free-draining, and R-test specimens should generally be fully saturated before shear. Errors EM 1110-2-1906 lists for R tests: back-pressure increments too large or applied too fast; chamber and back pressure not held precisely (which can overconsolidate the specimen); shearing before consolidation is complete; too fast a strain rate; temperature drift; and water absorbed from the porous inserts after the test, which biases the final water content. For S tests the main errors are strain rate and volume-change measurement. In pervious soils, water redistributes even in a quick Q test, so measure the water content of the middle third separately from the ends.

Picking t50 and t90 from each load increment

Section 10.3.8 gives cv = TvHdr2/t but not how t is found. The two standard curve-fitting methods (Das lab manual) are:

  • Square-root-of-time (Taylor, 1942): plot dial reading against √t, extend the initial straight line, draw a second line from the same origin with abscissas 1.15 times larger, and read t90 where it cuts the curve. Then cv = 0.848 Hdr2/t90.
  • Log-of-time (Casagrande and Fadum, 1940): d100 is the intersection of the primary and secondary straight lines. For d0, pick t1 and t2 = 4t1 in the early curved part and step up by their difference. t50 is at d50 = (d0 + d100)/2. Then cv = 0.197 Hdr2/t50, and Cα comes from the slope after d100.

With double drainage, Hdr is half the average specimen height during the increment. Report which method was used. The two methods commonly give different cv values for the same increment, and the report should say which one the settlement-time analysis in Chapter 12 used.

Source: U.S. Army Corps of Engineers (1970, with changes). Laboratory Soils Testing. EM 1110-2-1906 · Das, B. M. (2002). Soil Mechanics Laboratory Manual, 6th ed. Oxford University Press

Supplemental reference · LEVI Library

Tests for shale and mudstone: preparation effects and slake durability

Railroad cuts in Appalachian and prairie shales (Chapter 13) need durability as well as strength data, and Atterberg limits of clay shale depend on how the sample was processed. EM 1110-2-1906 therefore standardizes three preparations: blenderized (the primary reference — dried below 122°F at < 30% RH, soaked at least 48 hr, then blended as a slurry above 300% water content or twice the LL); undried (shaved directly into distilled water); and air-dried (one drying–soaking cycle). The spread among the three indicates the strength of interparticle bonds. Report which method produced the limits used for design.

Slake durability (Franklin and Chandra, 1972; ASTM D4644): oven-dried rock lumps are rotated for 10 minutes in a sieve-mesh drum half immersed in 68°F water. Id is the percentage of the initial dry mass retained. Nagaraj reports reproducibility within 5% at 95% confidence, and the test discriminates well between mudstones that otherwise look alike.

Id (%)0–2525–5050–7575–9090–9595–100
DurabilityVery lowLowMediumHighVery highExtremely high

After Franklin and Chandra (1972). As printed in Nagaraj’s Table 9.7, the 75–90 and 90–95 labels are transposed; the order shown here is the original.

For clay shales, Nagaraj also reproduces the Morgenstern and Eigenbrod (1974) classification, which combines the amount of slaking (by the liquid limit of the slaked material: < 20 very low to > 140 very high) with the rate (change in liquidity index in the first cycle: < 0.75 slow, 0.75–1.25 fast, > 1.25 very fast). Add slake durability to the rock column of Table 10-1 for every cut in shale, mudstone or claystone and for any rock proposed as riprap or fill.

Source: U.S. Army Corps of Engineers (1970, with changes). Laboratory Soils Testing. EM 1110-2-1906 · Nagaraj, T. S. (1993). Principles of Testing Soils, Rocks and Concrete. Elsevier (Developments in Geotechnical Engineering)

Supplemental figures · LEVI Library
Schematic of fixed-ring and floating-ring consolidometers (EM 1110-2-1906). Apparatus compression in either type must be calibrated out for stiff soils.
Supplemental Figure 10-S1. Schematic of fixed-ring and floating-ring consolidometers (EM 1110-2-1906). Apparatus compression in either type must be calibrated out for stiff soils. Source: U.S. Army Corps of Engineers (1970, with changes). Laboratory Soils Testing. EM 1110-2-1906, p. VIII-2.
Details of a typical triaxial compression chamber for 1.4-in.-diameter specimens (EM 1110-2-1906).
Supplemental Figure 10-S2. Details of a typical triaxial compression chamber for 1.4-in.-diameter specimens (EM 1110-2-1906). Source: U.S. Army Corps of Engineers (1970, with changes). Laboratory Soils Testing. EM 1110-2-1906, p. X-4.

Ballast and subballast abrasion tests (Deval, Los Angeles, Micro-Deval)

Table 10-7. Abrasion tests for railway aggregates as described by Profillidis
TestEquipment and procedureResult
Deval (1896)11-lb sample in cylinders 8 in. dia. × 13 in., inclined 30°; 10,000 revolutions at 2,000 rev/h (about 5 h); dry or wetDeval coefficient from % attrition. Typical minimums: > 12 (limestone), > 14 (hard rock), some railways > 16
Los Angeles (1926)Drum 28 in. dia. × 20 in.; 11-lb sample with 12 steel balls of 15 oz each; 500 revolutions at 30–33 rpm (about 15 min). EN version: 22-lb sample, 1,000 revolutions% passing No. 12 (French) or No. 8 (British) sieve. Many specifications: LA < 25. EN reference test
Micro-Deval1.1 lb of ⅜–½ in. gravel, one 11-lb steel ball and 2.6 qt of water in an 8-in. cylinder; 12,000 revolutions at 100 rpm. EN version: 22 lb, 14,000 revolutionsMDE = % finer than No. 12. Used mainly for subballast; subballast MDE < 15–20

North American ballast specifications (AREMA Chapter 1) use the ASTM Los Angeles test for large coarse aggregate (ASTM C535). Results from the European methods are not interchangeable with ASTM results without correlation.

Cyclic behavior. Ballast takes a large permanent set on first loading as stones rearrange, then accumulates strain slowly: εN = ε1(1 + c·log N), with c ≈ 0.2 (European ORE and British Rail research) or 0.25–0.40 (American research). On that basis it takes 100,000–300,000 cycles to double the first-cycle plastic strain. Ballast modulus roughly doubles over the first 1,000 cycles and then stays nearly constant; gravel subballast modulus does not change with cycles. Repeated-load triaxial programs should run long enough to get past this initial bedding-in.

Figures · click to zoom

Figure 10-11. Deval attrition machine. Profillidis Fig. 12.4.
Figure 10-11. Deval attrition machine. Profillidis Fig. 12.4.
Figure 10-12. Elastic deformation of ballast vs. number of loading cycles N. Profillidis Fig. 12.3.
Figure 10-12. Elastic deformation of ballast vs. number of loading cycles N. Profillidis Fig. 12.3.

After Profillidis (2014), §12.3–12.4, Eq. 12.1, Figs. 12.3–12.4. Full reference under Supplemental Sources.

Standard index tests for subgrade samples

Table 10-8. Standard laboratory battery for subgrade samples (course summary)
TestStandardWhat it gives
Atterberg limitsASTM D4318Liquid limit, plastic limit, plasticity index; classifies fines
Particle-size distributionASTM D422Sieve gradation, % finer than No. 200, hydrometer split of silt and clay
Moisture contentASTM D4643Water content by drying
Unconfined compressive strengthASTM D2166Direct strength of cohesive samples
Proctor compactionASTM D698 / D1557Target density and optimum moisture for fill and subgrade

Compaction can roughly double a soil’s strength. The fines content of granular fill controls its drainage, frost susceptibility and strength after rain, so specify and test fines on ballast and sub-ballast deliveries rather than accepting material that only looks good dry.

Figures · click to zoom

Figure 10-13. Proctor compaction device.
Figure 10-13. Proctor compaction device.
Figure 10-14. Bank, loose and compacted states of soil during earthwork.
Figure 10-14. Bank, loose and compacted states of soil during earthwork.

After Geotechnology for Railroaders Program, Module 2; §09–10. Full reference under Supplemental Sources.

Case study: 10.16.1 Curing time changes compaction and CBR results (Look 2023), in §10.16 Case Studies.

10.4 Sample Handling and Chain of Custody
10.4.1 Shelby Tube Handling

Shelby tubes (ASTM D1587 thin-wall samples) must be:

  • Sealed at both ends with wax within 2 hours of extraction
  • Stored vertically (upright) in a padded core box or individual foam holders
  • Transported at ambient temperature; never frozen (unless specifically permitted for permafrost)
  • Extruded at laboratory in a horizontal extruder within 30 days of collection
  • Never impact-loaded, dropped, or inverted during transport

Sample Quality Designation (Lunne et al. 1997) — referenced in Chapter 6:

Δe/e₀Quality
< 0.04Very good to excellent
0.04–0.07Good to fair
0.07–0.14Poor
> 0.14Very poor

Report SQD for all consolidation and triaxial test specimens. UPRR and BNSF Engineering Instructions require that samples with SQD = Poor or Very Poor be noted in the report with a corresponding caveat on the reliability of strength and compressibility parameters derived from them.

Reference graphics

Storage of Samples
Storage of Samples
10.4.2 Chain of Custody

A chain of custody (COC) form must accompany every sample shipment from field to laboratory. Required fields:

  • Project name and number; client railroad
  • Boring ID, sample ID, sample type, and depth interval
  • Date and time of collection; collector's name
  • Date and time of departure from field; shipper's name
  • Date and time of receipt at laboratory; receiver's name and signature
  • Condition of samples at receipt (sealed, intact, disturbed)
  • Tests assigned (referenced to lab test request form)
  • Custody transfer: any intermediate handler must sign and date

CSXT and Amtrak require COC forms to be scanned and submitted with the laboratory report as a QC attachment.

10.5 Laboratory QA/QC
10.5.1 Duplicate Testing

A minimum of 10% of all tests (by test type) must be run in duplicate as a QC check. Duplicate tests are run on split halves of the same sample by the same method. Acceptable precision limits:

Table 10-2. Laboratory Test Precision Requirements
TestAcceptable Duplicate DifferenceAction if Exceeded
Water content (D2216)≤ 1.0%Repeat test on third portion
Atterberg limits (D4318)LL ≤ 2%, PL ≤ 2%Repeat; average of three if still outside
Modified Proctor (D1557)γ_d,max ≤ 1.0 pcf; w_opt ≤ 1.0%Rerun entire compaction curve
Consolidation C_c (D2435)≤ 0.05Flag and report; use higher value for design
UU triaxial s_u (D2850)≤ 10% of meanInvestigate specimen preparation
CBR (D1883)≤ 5 percentage pointsAverage of three specimens
10.5.2 Reference Standards

The laboratory must maintain certified reference standards for:

  • Atterberg limits: reference LL material (typical LL ≈ 30%; verified against liquid limit standard)
  • Proctor: reference soil with known γ_d,max ± 0.5 pcf and w_opt ± 0.5% (checked semiannually)
  • Sieve analysis: NIST-traceable calibrated sieves (checked annually)
  • Consolidation: calibrated load frames and displacement transducers (calibrated annually)
  • Triaxial: calibrated load cells (ASTM E4), pressure transducers, and displacement gauges
10.5.3 Laboratory Report Requirements

Each laboratory report must contain:

  • Project name, boring ID, sample ID, test date
  • Test method reference (ASTM standard edition)
  • Technician and supervisor names
  • All raw data (loads, deformations, masses, dimensions)
  • Calculated results with units
  • Any deviations from standard method noted
  • Supervisor review signature
Supplemental reference · LEVI Library

Equipment checks that most often go wrong (USACE EM 1110-2-1909)

  • Temperature: keep rooms used for consolidation, permeability, triaxial (especially with pore pressure) and direct shear within ± 5°F; otherwise results become erratic. EM 1110-2-1906 adds that a temperature rise during undrained shear lowers effective stress — a problem that grows with test duration.
  • Mechanical compaction rammers: calibrate before first use, after every 500 mold fillings, after any repair, whenever results are questionable, and after any 6-month period without calibration — separately for standard and modified effort and for each foot type. Check drop height at operating speed, not in slow operation.
  • Consolidometer deformation: for stiff clays and dense sands, a significant part of the measured compression can be in the apparatus and porous stones. Load a dummy setup (wet stones with filter paper, or a metal disk) through the test sequence until readings repeat within about 0.0005 in. between cycles (usually three cycles) and subtract the apparatus correction at each load. In the USACE example, apparatus deformation at 4 tsf was about 0.008 in. — not negligible for an OC clay specimen. Recalibrate each test until the correction proves stable, then semiannually or annually.
  • Liquid limit device: check new devices on arrival, since many do not meet specification. Check base hardness yearly by dropping a 5/16-in. steel ball from 10 in.: rebound must be 7.3–9.0 in.
  • Records: keep the date, who calibrated, and the devices and methods used for every calibration. Lab audits for Section 10.8 accreditation will ask for them.

Specimen selection matters more than test count. EM 1110-2-1906 stresses that strength, compressibility and permeability can vary severalfold within a few inches. Specimen selection therefore needs personal inspection of the samples by the laboratory and the design engineer together, not selection from boring logs alone. Its guiding principle: “one good test is not only far better than many poor tests, but is also less expensive.” Undisturbed samples should not be stored for long periods, because physical and chemical changes eventually invalidate them.

Source: U.S. Army Corps of Engineers (1970, with changes through 1986). Calibration of Laboratory Soils Testing Equipment. EM 1110-2-1909 · U.S. Army Corps of Engineers (1970, with changes). Laboratory Soils Testing. EM 1110-2-1906

Case study: 10.16.2 Laboratory variation in Cooroy clay compaction curves (Look 2023), in §10.16 Case Studies.

10.6 Turnaround Time by Client
Table 10-3. Laboratory Test Turnaround Time Requirements by Railroad Client
TestCSXTNSRUPRRBNSFCPKCAmtrakCNG&W
Water content, Atterberg, grain size5 business days5 business days5 business days5 business days5 business days5 business days5 business days5 business days
Modified Proctor7 business days7 business days7 business days7 business days7 business days7 business days7 business days7 business days
CBR (soaked)10 business days10 business days10 business days10 business days10 business days10 business days10 business days10 business days
UU Triaxial10 business days10 business days10 business days10 business days10 business days10 business days10 business days10 business days
CU Triaxial15 business days15 business days15 business days15 business days15 business days15 business days15 business days15 business days
Consolidation (D2435)14 business days14 business days14 business days14 business days14 business days14 business days14 business days14 business days
Resilient modulus (T307)Not requiredNot requiredNot required15 business days15 business days15 business days15 business daysNot required

Rush processing (1.5–2× standard fee): available from most accredited labs at 50–70% of standard turnaround times. Confirm availability at project initiation for emergency and fast-track projects.

10.7 Sample Retention Requirements
Table 10-4. Sample Retention Policy by Railroad Client
RailroadUntested disturbed samplesTested Shelby tubesRock coresBallast samplesGoverning Std.
CSXT90 days post-report1 year post-report1 year post-report90 daysCSXT Eng. Std.
NSR90 days post-report1 year post-report1 year post-report90 daysNSR Eng. Std.
UPRR6 months post-report2 years post-report2 years post-report6 monthsUPRR Eng. Instr. Manual
BNSF6 months post-report2 years post-report2 years post-report6 monthsBNSF Eng. Instructions
CPKC6 months post-report2 years post-report2 years post-report6 monthsCPKC Track Standards
Amtrak1 year post-report3 years post-report3 years post-report1 yearAmtrak Eng. Std.
CN6 months post-report2 years post-report2 years post-report6 monthsCN Eng. Standards
G&W90 days post-report1 year post-report1 year post-report90 daysG&W Eng. Bulletin

All nine client railroads reserve the right to request sample re-testing or third-party verification testing within the retention period.

10.8 Laboratory Accreditation Requirements
Table 10-5. Laboratory Accreditation Requirements by Railroad Client
RailroadRequired AccreditationScope VerificationSubmission Required
CSXTAASHTO Accreditation Program (AAP) or CCRLPer-method scopeYes — with lab report
NSRAAP or CCRLPer-method scopeYes
UPRRAAP or A2LAPer-method scopeYes
BNSFAAP or A2LAPer-method scopeYes
CPKCAAP (US territory); SCC (Canadian territory)Per-method scopeYes
AmtrakAAP or A2LA; CCRL for NECPer-method scopeYes
CNAAP (US territory); SCC or BNQ (Canadian territory)Per-method scopeYes
G&WAAP preferred; CCRL acceptedNot requiredOn request

Key accreditation bodies:

  • AAP (AASHTO Accreditation Program): Covers all geotechnical and pavement lab tests; scope is per-method
  • A2LA: ISO/IEC 17025 accreditation; broader scope; accepted by all Class I railroads
  • CCRL (Cement and Concrete Reference Laboratory): NIST-managed; covers aggregate and concrete tests including LA abrasion and soundness
  • SCC (Standards Council of Canada): Canadian national accreditation body
10.9 Worked Calculation Examples
Example 10-1: CSXT Bridge — Consolidation Test Analysis

Project context: CSXT Georgia Division bridge approach embankment. Consolidation test on Shelby tube sample from B-3 at 18–20 ft depth (soft gray kaolin clay, CH).

Lab data (at end of each load stage):

σ'_v (tsf)Void ratio e
0.1251.820
0.2501.795
0.5001.762
1.0001.698
2.0001.590
4.0001.430
8.0001.235
16.0001.015

Step 1: Identify σ'_p (Casagrande graphical method)

From the e-log σ'_v plot (described graphically):

  • Locate point of maximum curvature: approximately σ' = 1.0–1.5 tsf
  • Casagrande construction: σ'_p ≈ 1.50 tsf

Step 2: Compute C_c (NC range, 2.0–8.0 tsf)

C_c = Δe / Δ(log σ'_v) = (1.590 − 1.235) / (log 8.0 − log 2.0)

= 0.355 / (0.903 − 0.301) = 0.355 / 0.602 = 0.590

Step 3: Compute C_r (OC range, 0.125–1.0 tsf)

C_r = (1.820 − 1.698) / (log 1.000 − log 0.125)

= 0.122 / (0 − (−0.903)) = 0.122 / 0.903 = 0.135

Step 4: OCR

Current effective overburden: σ'_v0 = (γ_sat − γ_w) × z = (115 − 62.4) pcf × 19 ft = 999 psf = 0.50 tsf

OCR = σ'_p / σ'_v0 = 1.50 / 0.50 = 3.0

Conclusion: Moderately OC clay. Use Chapter 12 OC settlement equations for this stratum (Eq. 7-6 below σ'_p; Eq. 7-7 if stress path crosses σ'_p). Report C_c = 0.590, C_r = 0.135, σ'_p = 1.50 tsf, OCR = 3.0 in the engineering properties table (Table 5 of the GDR/FGR).

Example 10-2: BNSF Pavement — CBR and Modified Proctor Correlation

Project context: BNSF Kansas City intermodal yard expansion. Subgrade soil is lean clay (CL); Modified Proctor performed to establish compaction reference, followed by soaked CBR at 95% RC.

Modified Proctor results:

Water Content w (%)γ_d (pcf)
10.5111.8
12.0115.4
14.0118.2
16.0117.1
18.0113.5

Step 1: Identify γ_d,max and w_opt

Peak dry density: γ_d,max = 118.2 pcf at w_opt = 14.0%

Step 2: Target density for CBR specimen

γ_d,target = 0.95 × 118.2 = 112.3 pcf (at 95% RC per BNSF Engineering Instructions)

Step 3: CBR test results at 0.1 in. penetration

Measured load: P_sample = 730 lb; P_standard = 3,000 lb

CBR = (730 / 3,000) × 100% = 24.3%

At 0.2 in. penetration: P_sample = 960 lb; P_standard = 4,500 lb

CBR(0.2) = (960 / 4,500) × 100% = 21.3%

0.1 in. governs: Design CBR = 24.3%

Step 4: Design interpretation

Per Chapter 18, Table 10-1, CBR = 24.3% → Fair subgrade (CBR 20–50 range). BNSF Engineering Instructions require CBR ≥ 20% for intermodal yard pavement subgrade or blanket layer to achieve this. Subgrade marginally adequate; recommend confirming with ≥ 3 CBR tests across the yard footprint.

Example 10-3: NSR Slope — CU Triaxial Effective Parameters

Project context: NSR Appalachian Division cut slope in residual silty clay (CL-ML). CU triaxial test with pore pressure measurement on three specimens.

Test results:

Specimenσ₃ (psf)Δu at failure (psf)q = (σ₁−σ₃)/2 (psf)p = (σ₁+σ₃)/2 (psf)
A1,0004008201,820
B2,0007101,5403,540
C3,0001,0502,2905,290

Effective stress parameters:

Specimenσ'₃ = σ₃ − Δu (psf)σ'₁ = σ₃ + 2q − Δu (psf)
A6002,240
B1,2904,370
C1,9506,530

Step 1: Plot Mohr circles in effective stress space (described):

Circle A: center = (600+2240)/2 = 1,420; radius = (2240−600)/2 = 820 Circle B: center = (1290+4370)/2 = 2,830; radius = (4370−1290)/2 = 1,540 Circle C: center = (1950+6530)/2 = 4,240; radius = (6530−1950)/2 = 2,290

Step 2: Fit Mohr-Coulomb envelope

Using linear regression on (p', q') pairs: slope = sin φ' = (2,290−820)/(4,240−1,420) × (rise/run from regression)

For this dataset (simplified): sin φ' ≈ 0.517 → φ' = 31°

c' intercept ≈ 200 psf (from y-intercept of fitted line)

Step 3: Report

Effective friction angle: φ' = 31°, effective cohesion: c' = 200 psf

Per NSR Engineering Standards Manual, these parameters apply to long-term (drained) slope stability analysis. NSR requires a minimum of two additional specimens for confirmation before finalizing parameters for critical cut slope designs (FS < 1.3 zone).

10.10 Representative Lab Data Table
Table 10-6. Laboratory Test Summary — CSXT Georgia Division Bridge Approach (8 Borings)
BoringSampleDepth (ft)USCSLLPLPIw (%)γ_d (pcf)s_u (tsf)φ' (°)c' (psf)C_cC_rσ'_p (tsf)k (ft/day)
B-1SS-38–10CL42202224.1————————
B-1ST-112–14CH65283738.578.20.24——0.520.111.20—
B-2SS-410–12ML35221318.2————————
B-3ST-118–20CH71294242.176.50.19——0.590.141.502.1×10⁻⁵
B-3SS-625–27SC——49.8——32°0————
B-4ST-215–17CL48222629.480.10.31——0.440.091.35—
B-5SS-38–10CL44212322.8————————
B-6ST-112–14CH68274140.277.40.2231°2000.570.121.45—
10.11 Figure Placeholders
  • Figure 10-1. Consolidation test e-log σ'_v curve for Example 10-1: void ratio vs. log effective vertical stress with C_c, C_r, and σ'_p identified via Casagrande construction.
  • Figure 10-2. Modified Proctor compaction curve for Example 10-2: γ_d vs. w% with ZAV line, γ_d,max, and w_opt labeled.
  • Figure 10-3. CBR load-penetration curve for Example 10-2: force vs. penetration (in.) with 0.1-in. and 0.2-in. reference points marked.
  • Figure 10-4. CU triaxial effective stress Mohr circles for Example 10-3: three circles in effective stress space with Mohr-Coulomb failure envelope.
  • Figure 10-5. Laboratory test request form: annotated blank showing all required fields (project, sample ID, tests assigned, priority).
  • Figure 10-6. Chain of custody form: annotated blank showing field origination, transit custody, and laboratory receipt blocks.
  • Figure 10-7. Sample Quality Designation (SQD) diagram: Δe/e₀ calculation from consolidation test showing how sample disturbance is quantified.
  • Figure 10-8. Laboratory accreditation scope verification example: AAP scope certificate showing per-method coverage for ASTM D4318, D2435, D2850, D4767.
  • Figure 10-9. Grain size distribution curves (semilog): four representative samples from a mixed BNSF subgrade profile showing CL, SM, SW, and GP classifications.
  • Figure 10-10. Laboratory test sequence timeline chart: schedule from sample receipt to final data delivery for a typical 6-boring bridge investigation (Gantt format).

Reference graphics

Why Soil Consolidation Happens
Why Soil Consolidation Happens
Proctor Compaction Test
Proctor Compaction Test
Cone Penetration Test
Cone Penetration Test
Triaxial Shear Test
Triaxial Shear Test
Flexible Pavement Layers — Subgrade to Asphalt
Flexible Pavement Layers — Subgrade to Asphalt
10.12 Practical Recommendations
  1. Write the laboratory test program before the field crew mobilizes. A well-designed test program begins with the analysis matrix (Table 10-1). Know which tests are needed before drilling begins so that samples are collected, preserved, and shipped appropriately. Changing the test program after samples have dried or disturbed is expensive and unreliable.
  2. Confirm laboratory accreditation per-method, not per-lab. An AAP-accredited lab may be accredited for D2216 and D4318 but not for D4767 (CU triaxial). Always verify the accreditation scope certificate for every test method in the program. All Class I clients will reject data produced outside the accreditation scope.
  3. Ship Shelby tubes within 72 hours of collection. Sample quality degrades with time, handling, and temperature cycling. The SQD classification (Section 10.4.1) will reveal disturbance — but by then the sample is consumed. Minimize handling, seal immediately, and ship promptly.
  4. Always run water content on all samples, even those not assigned to formal tests. Water content takes 30 minutes and costs almost nothing. It documents the in-situ condition of every sample and supports stratigraphic correlation, parameter estimation, and QC. A boring with 20 samples and only 5 water contents is professionally incomplete.
  5. Request electronic data delivery in addition to PDF reports. All major geotechnical laboratories can deliver test data in CSV or Excel format. Request this at the time of laboratory subcontract award. Electronic data is essential for efficient entry into calculation spreadsheets and prevents transcription errors from PDF reports.
  6. Verify specific gravity before computing void ratio in consolidation analysis. The void ratio calculation (e = G_s × γ_w / γ_d − 1) is directly affected by G_s. Assuming G_s = 2.70 for a kaolin-rich clay (G_s may be 2.60–2.65) will overestimate e and underestimate C_c by a meaningful margin. Always measure G_s on the same material used for consolidation testing.
  7. For CPKC and CN Canadian territory projects, confirm metric vs. English unit reporting requirements with the laboratory. Canadian laboratories report in SI units by default. Specify English unit output in the lab subcontract, or include a unit conversion table in the laboratory report appendix, and verify conversions before using values in design.
10.13 Laboratory Testing Checklist

Checklist · Part V · Subsurface Exploration

Laboratory Testing Checklist

Pre-Field0 of 7
Field0 of 6
Laboratory Phase0 of 6
Report Integration0 of 5
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Plain text version

Pre-Field

  • [ ] Analysis matrix completed (Table 10-1 adapted to project type); tests selected match analytical needs
  • [ ] Laboratory subcontract awarded; accreditation scope verified per-method for all required tests
  • [ ] COC forms prepared and printed; field team briefed on COC procedure
  • [ ] Shelby tube size and quantity confirmed (typically 3-in. OD for ASTM D1587)
  • [ ] Shipping coolers, foam padding, and waterproof labels procured
  • [ ] Rush processing option confirmed with laboratory (if project schedule requires)
  • [ ] Sample retention requirements confirmed with client (Table 10-4)

Field

  • [ ] Water content taken on every sample (no exceptions)
  • [ ] Shelby tubes sealed within 2 hours of extraction; ends waxed
  • [ ] COC form completed for each sample; signed by collector
  • [ ] Samples shipped within 72 hours; COC transmitted to laboratory with shipment
  • [ ] Condition at laboratory receipt confirmed (email or call from lab supervisor)
  • [ ] Test assignments transmitted to laboratory with priority schedule

Laboratory Phase

  • [ ] 10% duplicate testing performed per QC program (Table 10-2)
  • [ ] SQD computed for all Shelby tube-based tests; poor quality samples flagged
  • [ ] All raw data retained by laboratory (not just final results)
  • [ ] Laboratory report includes technician and supervisor signatures
  • [ ] Electronic data (CSV or Excel) received and checked against PDF report
  • [ ] Accreditation certificate attached to laboratory report as QC document

Report Integration

  • [ ] Lab data master table complete (all samples; Table 10-6 format)
  • [ ] All design parameters sourced from lab data with traceability to sample ID and test date
  • [ ] SQD flags noted in engineering properties discussion (Section 6 of GDR/FGR)
  • [ ] Any test anomalies or out-of-specification results explained in report narrative
  • [ ] Sample retention calendar established; laboratory notified of client retention requirements
10.14 Cross-Reference Table
TopicSee Also
SPT N-value correction using γ_d and G_sChapter 6
In situ test correlation to lab parametersChapter 7
USCS classification using Atterberg limits and grain sizeChapter 8
Groundwater (effect on consolidation parameters)Chapter 9
Bearing capacity using c', φ' from triaxialChapter 11
Settlement using C_c, C_r, σ'_p from consolidationChapter 12
Slope stability using φ' and c' from CU triaxialChapter 13
Liquefaction using fines content and FC correctionChapter 14
CBR and M_r for pavement designChapter 18
Ground improvement parameter selectionChapter 17
Retaining wall backfill φ' from direct shearChapter 16
Subgrade s_u from UU triaxial for subgrade FSChapter 2
Reference Proctor for compaction acceptanceChapter 15
Lab data table format in final reportAppendix E
Lab test data table template (blank)Appendix B
10.15 Practice Questions

Q1. A consolidation test data set shows the following e-log σ'_v values: at σ'_v = 1.0 tsf, e = 1.42; at σ'_v = 4.0 tsf, e = 1.18. The current effective overburden is σ'_v0 = 0.80 tsf and the Casagrande graphical construction gives σ'_p = 1.60 tsf. Calculate: (a) C_c in the NC range, (b) OCR, and (c) which settlement equation from Chapter 12 applies (NC equation, OC below σ'_p, or OC crossing σ'_p)?

Answer:

  • (a) C_c = Δe / Δlog σ' = (1.42 − 1.18) / (log 4.0 − log 1.0) = 0.24 / 0.602 = 0.399
  • (b) OCR = σ'_p / σ'_v0 = 1.60 / 0.80 = 2.0
  • (c) The soil is OC. The design stress (final σ'_vf) determines which equation applies: if the final effective stress from the new embankment load remains below σ'_p = 1.60 tsf, use OC below σ'_p equation (Eq. 7-6, using C_r). If the final stress exceeds 1.60 tsf, use the OC crossing σ'_p equation (Eq. 7-7, combining C_r and C_c).

Q2. A nuclear gauge reads γ_d,field = 117.4 pcf on a fill material. The Modified Proctor gives γ_d,max = 120.5 pcf. (a) What is RC%? (b) Does this pass CSXT's 95% requirement? (c) The moisture content is 17.2% vs. w_opt = 14.0%. Is the moisture within CSXT's ±3% tolerance?

Answer:

  • (a) RC = (117.4 / 120.5) × 100% = 97.4%
  • (b) 97.4% > 95% → PASS ✓
  • (c) Acceptable range: 14.0% ± 3% = 11.0% to 17.0%. Field MC = 17.2% > 17.0% → Outside tolerance (wet side). Rework or allow to dry; retest before placing next lift.

Q3. Two Shelby tube samples from the same stratum undergo consolidation testing. Sample A gives C_c = 0.45 with SQD "Good to Fair" (Δe/e₀ = 0.06). Sample B gives C_c = 0.31 with SQD "Poor" (Δe/e₀ = 0.12). Which value should be used for design and why?

Answer: Use C_c = 0.45 from Sample A. Sample B's SQD of "Poor" indicates significant sample disturbance during sampling, transport, or extrusion. Disturbance generally artificially reduces apparent stiffness in the early part of the consolidation curve, leading to an underestimated C_c — which would underestimate settlement and produce an unconservative design. Sample A, rated "Good to Fair," provides the more reliable result. Document in the report that Sample B's result was rejected due to poor quality (Lunne et al. 1997 SQD criteria) and that C_c = 0.45 governs settlement calculations for this stratum.

Q4. A CU triaxial test on three specimens gives peak deviator stresses (σ₁ − σ₃) at failure of 1,840 psf, 3,280 psf, and 4,920 psf at confining pressures of 1,000, 2,000, and 3,000 psf respectively. Pore pressures at failure are 450, 820, and 1,200 psf. Calculate: (a) σ'₃ for each specimen, (b) σ'₁ for each specimen, and (c) estimate φ' from the ratio of radii to centers.

Answer:

  • (a) σ'₃: 1,000−450=550; 2,000−820=1,180; 3,000−1,200=1,800 psf
  • (b) σ'₁: 550+1,840=2,390; 1,180+3,280=4,460; 1,800+4,920=6,720 psf
  • (c) Radii: (2390−550)/2=920; (4460−1180)/2=1,640; (6720−1800)/2=2,460 Centers (p'): (2390+550)/2=1,470; (4460+1180)/2=2,820; (6720+1800)/2=4,260 sin φ' ≈ rise/run from p'−q' plot: (2,460−920)/(4,260−1,470) = 1,540/2,790 = 0.552 → φ' ≈ 33.5°

Q5. A soaked CBR specimen gives the following load-penetration data: at 0.1 in. — 880 lb; at 0.2 in. — 1,260 lb. The zero-load reading showed 15 lb due to seating. (a) Correct the loads. (b) Calculate CBR at 0.1 in. and 0.2 in. (c) Report the design CBR.

Answer:

  • (a) Corrected loads: 0.1 in.: 880 − 15 = 865 lb; 0.2 in.: 1,260 − 15 = 1,245 lb
  • (b) CBR(0.1) = (865/3,000) × 100% = 28.8%; CBR(0.2) = (1,245/4,500) × 100% = 27.7%
  • (c) Since CBR(0.1) > CBR(0.2), the design CBR = 28.8% (0.1-in. penetration governs, as is typical). If CBR(0.2) had governed, the load-penetration curve would need to be re-examined for a seating error at low penetration.
10.16 Case Studies

Field case studies by Burt G. Look, from Earthworks: Theory to Practice – Design and Construction (CRC Press/Balkema, 2023), chosen for this chapter’s topics. Each is summarized from the book with its key figures and a closing note on railroad application added by the authors of this manual. Credit for the case material belongs to Look; see item S8 under Supplemental Sources.

Case Study 10.16.1 — Curing time changes compaction and CBR results
Case study · Look (2023) §5.8

Related section: 10.3 Test Methods — ASTM Standards and English Unit Outputs

Samples of Bundamba clay (plasticity index 47%, 97% passing No. 40, 69%–82% fines) were cured for 0, 1, 4 and 7 days before compaction and soaked and unsoaked CBR testing:

  • Short curing gave a higher maximum dry density, so the field material is more likely to fail its density ratio or need extra compactive effort.
  • Short curing gave higher CBR swell, which would trigger more remove-and-replace than is needed (typically 10 in. for the swell measured). Whether the sample arrived wet or dry also changed the swell when curing was inadequate.
  • Short curing gave a higher unsoaked CBR (thinner pavement, more long-term failures) and a lower soaked CBR (over-designed pavement).

For railroad work: plastic clay subgrade samples for CBR, resilient modulus or Proctor testing should be cured to the period the test standard requires, and the curing time should be reported. A test turned around too quickly can push the design either way.

Curing 0–1 days gave a higher MDD than 4–7 days for a high-plasticity clay.
Figure 10-LK1. Curing 0–1 days gave a higher MDD than 4–7 days for a high-plasticity clay. Source: Look (2023), Figure 5.8-1, p. 143.
Curing time against soaked CBR and swell: short curing lowers soaked CBR and raises swell.
Figure 10-LK2. Curing time against soaked CBR and swell: short curing lowers soaked CBR and raises swell. Source: Look (2023), Figure 5.9-1, p. 143.

Source: Look, B. G. (2023). Earthworks: Theory to Practice – Design and Construction. CRC Press/Balkema. Case study §5.8, pp. 142. Summarized and paraphrased; figures reproduced for internal reference. Full reference under Supplemental Sources.

Case Study 10.16.2 — Laboratory variation in Cooroy clay compaction curves
Case study · Look (2023) §7.9

Related section: 10.5 Laboratory QA/QC

Eleven standard compaction tests on clay from one project site at Cooroy, Queensland (55 compaction points) gave maximum dry densities from 97–104 pcf, median 1.62, and optimum moisture contents from 18.6% to 24.5%, median 21.5%. The idea of a unique MDD and OMC does not hold for clays. The repeatability allowed in the Australian standard suggests 85%–115% of OMC as a realistic moisture window, yet many specifications ask for ±2% of OMC, which testing variation alone makes unachievable.

The real target is low air voids: much below 85% of OMC, air voids exceed about 10%. Look also warns that the compacted soil will not stay at its placement moisture, so the moisture target should guide field effort and not be a pass/fail criterion. Density is the pass/fail measure. Compaction well above MDD or dry of OMC raises suction, so the “stronger” material is more sensitive to later moisture change.

For railroad work: the ±2% moisture band suits processed granular materials such as subballast, not high-moisture clays in embankment or subgrade. Use a band that reflects the laboratory’s own repeatability.

Individual five-point compaction curves for 11 samples of Cooroy clay: MDD 97–104 pcf, OMC 18.6%–24.5%.
Figure 10-LK3. Individual five-point compaction curves for 11 samples of Cooroy clay: MDD 97–104 pcf, OMC 18.6%–24.5%. Source: Look (2023), Figure 7.9-1, p. 233.

Source: Look, B. G. (2023). Earthworks: Theory to Practice – Design and Construction. CRC Press/Balkema. Case study §7.9, pp. 230–232. Summarized and paraphrased; figures reproduced for internal reference. Full reference under Supplemental Sources.

Author and Sources

Authors: Daniel P. Colwell and Mario Ruel. This chapter was written and compiled by Daniel P. Colwell and Mario Ruel for Railway Ground Hazard Risk Management.

Technical content is drawn from the published sources below, and credit for that material belongs to their authors and publishers. Tables, equations and figures taken from a specific source are also cited where they appear.

Primary sources

  • USACE EM 1110-2-1906, Laboratory Soils Testing
  • USACE EM 1110-2-1909, Calibration of Laboratory Soils Testing Equipment
  • Das, B. M. (2002). Soil Mechanics Laboratory Manual, 6th ed.
  • ASTM D854, D1557, D1587, D1883, D2166, D2216, D2434, D2435, D2850, D3080, D4318, D4644, D4767, D5084, D5731, D6913, D698, D7928; AASHTO T 307

Supplemental sources (LEVI Library)

  • U.S. Army Corps of Engineers (1970, with changes through 1986). Calibration of Laboratory Soils Testing Equipment. EM 1110-2-1909
  • U.S. Army Corps of Engineers (1970, with changes). Laboratory Soils Testing. EM 1110-2-1906
  • Das, B. M. (2002). Soil Mechanics Laboratory Manual, 6th ed. Oxford University Press
  • Nagaraj, T. S. (1993). Principles of Testing Soils, Rocks and Concrete. Elsevier (Developments in Geotechnical Engineering)
  • Look, B. G. (2023). Earthworks: Theory to Practice – Design and Construction. CRC Press/Balkema. Case studies §5.8, §7.9

File locations for these documents are listed under Supplemental Sources — LEVI Library.

Supplemental Sources — LEVI Library

Material in the green “Supplemental reference” boxes throughout this chapter was added from the following documents in the LEVI geotechnical library. Text is summarized or paraphrased; tables are reproduced with their original source noted; figures are reproduced from the cited document for internal reference use. Consult the original document before relying on a value for design. Blocks marked “After Selig & Waters (1994)” summarize item S7 for railroad clients; tables are condensed from the book and its figures are not reproduced. The Case Studies section summarizes case studies from item S8 by Burt G. Look; its figures are reproduced from the book for internal reference use, and the closing “For railroad work” note in each case study is added by the authors of this manual.

  1. U.S. Army Corps of Engineers (1970, with changes through 1986). Calibration of Laboratory Soils Testing Equipment. EM 1110-2-1909
  2. U.S. Army Corps of Engineers (1970, with changes). Laboratory Soils Testing. EM 1110-2-1906
  3. Das, B. M. (2002). Soil Mechanics Laboratory Manual, 6th ed. Oxford University Press
  4. Nagaraj, T. S. (1993). Principles of Testing Soils, Rocks and Concrete. Elsevier (Developments in Geotechnical Engineering)
  5. Profillidis, V. A. (2014). Railway Management and Engineering, 4th ed. Farnham, UK: Ashgate. Chapters 7–9, 11–13, 16–17, 20 and 22 (track system, mechanical behavior of track, subgrade, sleepers, ballast, transverse effects, maintenance, slab track, electrification foundations, safety)
  6. Benesch. Geotechnology for Railroaders Program, Modules 1–8 (two-day training course reference: risk management, geology and soils, ballast and sub ballast, drainage, slides, slope and subgrade stabilization, scour, rock falls, beaver dams, winter problems, spring thaw, extreme weather, earthquakes). Field photographs and figures from the course; slope stabilization process slides adapted from material by D. Colwell
  7. Selig, E. T. and Waters, J. M. (1994). Track Geotechnology and Substructure Management. London: Thomas Telford. Used on this page: chs. 3, 7, 8, 9 and 10
  8. Look, B. G. (2023). Earthworks: Theory to Practice – Design and Construction. Leiden: CRC Press/Balkema (Taylor & Francis). ISBN 978-1-032-10470-6. Case studies used on this page: §5.8, §7.9
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