Pervious Concrete for Drainage and Sustainability
Pervious concrete (also called permeable or porous concrete) is a concrete with high interconnected void content (15-35%) allowing water to pass through, reduci...
Aggregate gradation is the particle size distribution of the aggregate blend in asphalt or concrete, determined by sieve analysis. Gradation controls mixture density, workability, strength, and durability. Well-graded, gap-graded, and open-graded distributions produce different pavement performance characteristics. Covers gradation specifications, sieve sizes, gradation charts, and relationship to pavement distress.
Aggregate gradation refers to the distribution of particle sizes within a sample of aggregate used in pavement construction. It quantifies what proportions of an aggregate blend fall into each size fraction, from coarse particles larger than 25 mm down to mineral dust passing the 0.075 mm (No. 200) sieve. Gradation is expressed numerically as the cumulative percentage of material passing each standard sieve size, reported in tabular form and plotted graphically on a gradation chart.

Aggregate gradation is arguably the single most influential aggregate characteristic governing how a pavement material will perform in service. In hot-mix asphalt (HMA) pavements, gradation directly controls stiffness, stability, durability, permeability, workability, fatigue resistance, frictional resistance, and moisture susceptibility (Roberts et al., 1996). Every major performance property of an asphalt mixture is modulated by how the aggregate particles fit together. A gradation that is too fine may produce a mix that ruts under traffic; one that is too coarse may segregate during placement and resist compaction.
In portland cement concrete (PCC) pavements, gradation exerts similar influence over durability, porosity, workability, cement and water requirements, compressive strength, and shrinkage behavior. Well-graded aggregates in PCC reduce the void space that must be filled with expensive cement paste, lowering material costs while improving dimensional stability. Poorly graded aggregates increase water demand, which raises the water-cement ratio and degrades both strength and durability.
For base and subbase courses in pavement structures, gradation determines drainage characteristics, frost susceptibility, and load-bearing capacity. Even small percentages of material passing the 0.075 mm sieve can dramatically reduce permeability, turning a free-draining base course into a water-retaining layer prone to frost damage.
Because of its fundamental importance, gradation is a primary control parameter in all major mix design methods — including Superpave, Marshall, Hveem, and ACI concrete mix design. Transportation agencies worldwide, including the Federal Highway Administration (FHWA), Federal Aviation Administration (FAA), and International Civil Aviation Organization (ICAO), specify allowable gradation ranges for virtually every pavement layer.
The standardized method for determining aggregate gradation is the sieve analysis test, codified as ASTM C136 — Standard Test Method for Sieve Analysis of Fine and Coarse Aggregates — and its AASHTO equivalent, AASHTO T 27. This test provides the foundational data from which all gradation parameters are derived.
The procedure begins with obtaining a representative aggregate sample of sufficient mass, dried to constant mass at 110 ± 5°C. The required sample mass depends on the nominal maximum aggregate size (NMAS). For fine aggregates passing the 4.75 mm (No. 4) sieve, a minimum of 300 g is required. For coarse aggregates, the minimum sample mass increases with particle size: 25 kg for aggregate with NMAS of 37.5 mm, 40 kg for 50 mm NMAS, and 60 kg for 63 mm NMAS. These mass requirements ensure that the sample is statistically representative of the aggregate source.
A nested column of standard sieves is assembled in descending order of opening size, from coarsest at the top to finest at the bottom, with a pan at the base to collect the material passing the finest sieve. The dried sample is placed on the top sieve, and the stack is mechanically shaken for a period sufficient to ensure complete separation — typically 10 to 15 minutes for a mechanical sieve shaker operating at standard amplitude.
After shaking, the mass of material retained on each sieve is weighed to the nearest 0.1 g for fine aggregates and 0.5 g for coarse aggregates. The mass retained on each sieve is divided by the total dry sample mass to calculate the percent retained on each sieve. Cumulative percent retained is computed by summing the percent retained on the given sieve and all coarser sieves above it. Percent passing (also called percent finer) is calculated as 100 minus the cumulative percent retained.
The key calculations are:
Results are reported in tabular format listing each sieve size, the mass retained, percent retained, cumulative percent retained, and percent passing. The test report must also include the total sample mass, the NMAS, and any observations about the aggregate characteristics (e.g., presence of clay lumps, excessive dust, or degradation during testing).
ASTM C136 provides precision statements based on interlaboratory studies. For a single-operator (repeatability) standard deviation, results from the same laboratory should not differ by more than the d2s limit, typically 0.16% to 1.8% depending on sieve size and material type. For multilaboratory (reproducibility), the acceptable range is wider. These precision limits underscore the importance of strict adherence to procedure, including proper sample splitting, accurate weighing, and calibrated sieves.
Sieve analysis relies on a standardized series of sieve openings established by ASTM E11 and ISO 3310-1. These standards define the nominal opening dimensions, wire diameters, and tolerances for woven wire test sieves. The sieve series follows the R 20/3 or R 40/3 geometric progression, where each successive sieve opening is approximately half the size of the one two sieves above.
| Sieve Designation | Opening Size | Common Use |
|---|---|---|
| 63.0 mm (2.5 inch) | 63.0 mm | Largest coarse aggregate gradation |
| 50.0 mm (2.0 inch) | 50.0 mm | Base course materials |
| 37.5 mm (1.5 inch) | 37.5 mm | Superpave 37.5 mm NMAS |
| 25.0 mm (1.0 inch) | 25.0 mm | Superpave 25.0 mm NMAS |
| 19.0 mm (3/4 inch) | 19.0 mm | Superpave 19.0 mm NMAS |
| 12.5 mm (1/2 inch) | 12.5 mm | Superpave 12.5 mm NMAS |
| 9.5 mm (3/8 inch) | 9.5 mm | Superpave 9.5 mm NMAS |
| 4.75 mm (No. 4) | 4.75 mm | Boundary between coarse/fine aggregate |
| Sieve Designation | Opening Size | Common Use |
|---|---|---|
| 2.36 mm (No. 8) | 2.36 mm | Asphalt Institute fine aggregate upper bound |
| 2.00 mm (No. 10) | 2.00 mm | AASHTO M 147 fine aggregate definition |
| 0.600 mm (No. 30) | 0.600 mm | Mineral filler definition (Asphalt Institute) |
| 0.425 mm (No. 40) | 0.425 mm | Gradation control point for many specs |
| 0.300 mm (No. 50) | 0.300 mm | Concrete fineness modulus calculation |
| 0.150 mm (No. 100) | 0.150 mm | Fine sand control |
| 0.075 mm (No. 200) | 0.075 mm | Mineral dust / P200 material |
The 4.75 mm (No. 4) sieve marks the conventional boundary between coarse aggregate (retained on No. 4) and fine aggregate (passing No. 4). However, the Asphalt Institute defines this boundary at the No. 8 (2.36 mm) sieve, while AASHTO M 147 uses the No. 10 (2.00 mm) sieve. The 0.075 mm (No. 200) sieve is the most critical fine sieve in pavement engineering because material passing this size — called P200 or mineral dust — strongly influences binder demand, permeability, and moisture sensitivity.
Graphical representation of gradation data is essential for mix design and quality control. The industry-standard chart is the FHWA 0.45 power gradation graph, introduced in the early 1960s and universally adopted for HMA mix design and evaluation.
In 1907, Fuller and Thompson published an equation describing the gradation that produces maximum particle density:
P = (d / D)^n × 100
Where:
This equation, known as the Fuller curve, describes the ideal packing arrangement where successively smaller particles fill the voids between larger particles, producing minimum void space and maximum density. Fuller and Thompson determined that an exponent n of approximately 0.5 yields the densest particle packing for typical crushed aggregates.
The FHWA adopted the Fuller-Thompson concept but modified the plotting method so that the maximum density line appears as a straight diagonal line on the gradation chart. This is achieved by plotting sieve size raised to the 0.45 power on the x-axis (horizontal) and cumulative percent passing on the y-axis (vertical). When Fuller and Thompson’s equation with n = 0.45 is plotted on these axes, it produces a straight line from the origin (0% passing at zero size) to the point representing 100% passing at the maximum aggregate size.

The significance of this transformation cannot be overstated: it allows engineers to instantly visually assess where a gradation falls relative to maximum density. A gradation that follows the straight line closely is well-graded (near-maximum density). A gradation that arches above the line in the finer sizes is fine-graded (excess fine material). A gradation that falls below the line is coarse-graded (excess coarse material).
To construct the chart for a given maximum aggregate size (e.g., 19.0 mm), the x-axis coordinates are computed as sieve opening^0.45. For a 19.0 mm maximum size, the 0.45 power maximum density line traces a straight line from (0, 0) at the origin to (19.0^0.45, 100) at the top right. Intermediate points are calculated using Fuller’s equation. For example, at the 4.75 mm (No. 4) sieve: d/D = 4.75/19.0 = 0.25. P = 0.25^0.45 × 100 = 53.4%. This means approximately 53% of the aggregate should pass the No. 4 sieve for a maximum density gradation with a 19.0 mm maximum size.
Different maximum aggregate sizes produce different maximum density lines on the same chart, each starting from a different point on the x-axis. The chart can accommodate multiple lines for different mixtures being evaluated simultaneously.
The position of a gradation curve relative to the maximum density line reveals important performance characteristics:
The restricted zone was historically included on Superpave gradation charts as a region through which gradations were discouraged from passing. This zone was located just above the maximum density line in the fine aggregate range (0.3 mm to 2.36 mm). It was originally believed that mixes passing through this zone would have unacceptably low VMA. However, NCHRP Report 464 (Kandhal and Cooley, 2001) definitively concluded that gradations violating the restricted zone performed similarly to or better than those outside it. The restricted zone was therefore eliminated from AASHTO M 323 and AASHTO R 35 in 2002, though it may still appear in historical documents.
A well-graded aggregate — also called dense-graded — has a particle size distribution that closely follows the FHWA 0.45 power maximum density curve. This is the most common gradation type used in pavement construction in the United States and worldwide.
In a well-graded aggregate, the particles are distributed across a wide range of sizes such that smaller particles nest within the voids created by larger particles. This particle packing arrangement achieves high density with minimal void space. The mathematical ideal was described by Fuller and Thompson, but practical well-graded mixes intentionally deviate slightly from the maximum density curve to provide adequate voids in mineral aggregate (VMA) — typically 1% to 3% above the maximum density line for HMA.
The relationship between gradation and density is governed by the concept of packing efficiency. Natural aggregates with continuous size distributions produce packing densities of approximately 90% to 95% of the theoretical maximum, leaving 5% to 10% air voids. These air voids are essential in HMA to accommodate the asphalt binder film thickness around each particle and to allow for additional compaction under traffic without flushing (bleeding excess binder to the surface).

Well-graded aggregates produce mixtures with several advantageous properties:
Dense-graded aggregates are used in the following pavement applications:
Dense-graded Superpave mixes are defined by control points at four key sieve sizes: the maximum aggregate size, the nominal maximum aggregate size, the 2.36 mm (No. 8) sieve, and the 0.075 mm (No. 200) sieve. The control points for a typical 12.5 mm NMAS Superpave mix are:
| Sieve Size | Minimum % Passing | Maximum % Passing |
|---|---|---|
| 19.0 mm (Max size) | 100 | 100 |
| 12.5 mm (NMAS) | 90 | 100 |
| 2.36 mm (No. 8) | 28 | 58 |
| 0.075 mm (No. 200) | 2.0 | 10.0 |
These control points ensure that the gradation remains within a zone that balances density, VMA, workability, and durability.
A gap-graded aggregate distribution is one in which one or more intermediate particle sizes are present in very low percentages or absent entirely. On the 0.45 power gradation chart, a gap-graded curve exhibits a flat, horizontal segment in the mid-size range, indicating that few particles exist at those sieve sizes.
Gap gradation can occur naturally in some aggregate deposits or can be deliberately created by blending aggregates from different sources to omit specific size fractions. The absence of intermediate particles means that the coarse aggregate skeleton is filled primarily by fine particles, with a discontinuity in the size progression from coarse to fine.
In stone matrix asphalt (SMA), gap grading is intentionally designed to maximize stone-on-stone contact in the coarse fraction. SMA typically contains 70% to 80% coarse aggregate (retained on the 4.75 mm sieve) with a high proportion of a single coarse size, such as 9.5 mm to 4.75 mm. The voids between coarse particles are filled with a rich mortar of fine aggregate, mineral filler, asphalt binder, and stabilizing additives like cellulose or mineral fibers.
Gap-graded aggregates produce mixtures with unique properties:
Gap-graded mixes are used primarily in:
An open-graded aggregate distribution contains only a small percentage of fine aggregate particles, creating a porous structure with interconnected voids. On the 0.45 power chart, the gradation curve is steep in the mid-size range (indicating a narrow range of coarse particles) and flat near zero in the fine range (indicating few particles passing the smaller sieves).
Open-graded aggregates are designed to maximize permeability by limiting the amount of material passing the 2.36 mm (No. 8) or 4.75 mm (No. 4) sieves. Without fine particles to fill the voids between coarse particles, the air void content typically ranges from 15% to 25% — compared to 3% to 6% for dense-graded HMA after compaction. This high void content creates drainage channels that allow water to flow freely through the pavement structure.
The permeability of open-graded mixtures is several orders of magnitude higher than dense-graded mixtures. Typical coefficients of permeability for open-graded friction courses (OGFC) range from 0.1 to 1.0 cm/s, compared to 10⁻⁴ cm/s or less for dense-graded HMA. This rapid drainage eliminates the risk of hydroplaning and improves wet-weather visibility by reducing splash and spray.
Open-graded aggregates offer distinct advantages and limitations:
Two common types of open-graded pavement materials are:
Nominal maximum aggregate size (NMAS) is a critical parameter in mix design and specification. It defines the largest particle size that appears in significant quantity in the aggregate blend.
The Superpave mix design method defines NMAS as one sieve size larger than the first sieve to retain more than 10% of the material by weight. For example, if a gradation shows 8% retained on the 19.0 mm sieve and 16% retained on the 12.5 mm sieve, the NMAS is 19.0 mm (one sieve larger than the 12.5 mm sieve, which is the first to retain more than 10%).
Maximum aggregate size is distinct from NMAS; Superpave defines it as one sieve size larger than the NMAS. In the same example, the maximum aggregate size would be 25.0 mm. The maximum size sieve must allow 100% passing.
Superpave specifies five standard NMAS values:
| NMAS | First Sieve >10% Retained | Max Aggregate Size | Typical Application |
|---|---|---|---|
| 9.5 mm | 4.75 mm (No. 4) | 12.5 mm | Thin overlays, surface treatments |
| 12.5 mm | 9.5 mm (3/8 inch) | 19.0 mm | Surface and intermediate courses |
| 19.0 mm | 12.5 mm (1/2 inch) | 25.0 mm | Binder and base courses |
| 25.0 mm | 19.0 mm (3/4 inch) | 37.5 mm | Base courses, thick pavements |
| 37.5 mm | 25.0 mm (1 inch) | 50.0 mm | Heavy-duty base courses |
NMAS affects several aspects of pavement performance and construction:
The relationship between aggregate gradation and pavement performance is direct and quantifiable. Each gradation type produces distinct failure modes and performance characteristics that must be understood during mix design.
Rutting is the accumulation of permanent deformation in the wheel path under repeated traffic loading. The aggregate gradation plays a primary role in rut resistance:
Fatigue cracking results from repeated tensile strains at the bottom of the HMA layer under traffic loading:
In cold climates, thermal contraction stresses can cause transverse cracking when they exceed the tensile strength of the mixture:
Moisture damage — the loss of adhesive bond between aggregate and binder in the presence of water — is influenced by gradation:
The relationship between gradation and permeability is exponential. Even small changes in the percentage passing the 0.075 mm (No. 200) sieve dramatically affect permeability. Research by Ridgeway (1982) demonstrated that increasing the P200 content from 2% to 8% reduced the permeability of an aggregate base material by approximately four orders of magnitude. This sensitivity is why many specifications tightly control P200 content.
For base and subbase courses intended to provide drainage, agencies specify open-graded aggregate with maximum P200 contents of 2% to 4%. For dense-graded base courses where load-bearing capacity is the primary concern, P200 contents up to 8% may be permitted.
Gradation specifications define acceptable ranges of particle size distribution for specific pavement applications. These are typically expressed as specification bands — upper and lower limits of percent passing at each sieve size.
Gradation specifications can be categorized into several types:
The FHWA Standard Specifications for Construction of Roads and Bridges (FP-96) provides representative gradation bands for aggregate courses:
| Sieve Size | Subbase (Grading A) | Base (Grading B) | Surface (Grading F) |
|---|---|---|---|
| 63.0 mm | — | 100 | — |
| 50.0 mm | 100 | 97–100 | — |
| 37.5 mm | 97–100 | — | — |
| 25.0 mm | — | — | 100 |
| 19.0 mm | — | — | 97–100 |
| 12.5 mm | — | 40–60 (±8) | — |
| 4.75 mm | 40–60 (±8) | — | 41–71 (±7) |
| 0.425 mm | — | 9–17 (±4) | 12–28 (±5) |
| 0.075 mm | 0–12 (±4) | 4–8 (±3) | 5–16 (±4) |
The numbers in parentheses show allowable deviations from the target value during production, reflecting the practical variability inherent in aggregate production.
Superpave specifications define control points for each NMAS:
| Sieve Size | 9.5 mm NMAS | 12.5 mm NMAS | 19.0 mm NMAS | 25.0 mm NMAS | 37.5 mm NMAS |
|---|---|---|---|---|---|
| 50.0 mm | — | — | — | — | 100 |
| 37.5 mm | — | — | — | 100 | 90–100 |
| 25.0 mm | — | — | 100 | 90–100 | 90 max |
| 19.0 mm | — | 100 | 90–100 | — | — |
| 12.5 mm | 100 | 90–100 | — | — | — |
| 9.5 mm | 90–100 | — | — | — | — |
| 4.75 mm | — | — | — | — | — |
| 2.36 mm | 32–67 | 28–58 | 23–49 | 19–45 | 15–41 |
| 0.075 mm | 2–10 | 2–10 | 2–8 | 1–7 | 0–6 |
Superpave also specifies that gradations should not cross the maximum density line in a manner that produces excessively low VMA, though this is now evaluated through volumetric requirements rather than the historical restricted zone.
For airport pavements, the FAA and ICAO specify gradation requirements through national standards like FAA P-401 (asphalt) and P-501 (concrete), as referenced in ICAO Aerodrome Design Manual Part 3. Airport specifications are generally more stringent than highway specifications due to the higher wheel loads and tire pressures of aircraft, particularly for runways serving wide-body aircraft.
FAA P-401 for airport asphalt specifies gradation bands for surface courses with NMAS typically ranging from 12.5 mm to 19.0 mm, with tighter control on P200 content (typically 2% to 7%) and particular attention to the percent fractured faces and flat/elongated particles — properties that interact with gradation to control overall mixture performance.
During production, gradation is continuously monitored through quality control (QC) testing by the producer and quality assurance (QA) testing by the agency. Typical testing frequencies range from one gradation test per 500 to 1,000 tons of produced material, depending on the project specifications.
Statistical quality control methods, such as moving average charts and standard deviation analysis, are used to detect trends that might indicate a shift in gradation before the material falls outside specification limits. Control charts tracking percent passing at critical sieves — particularly the NMAS sieve, the No. 8 (2.36 mm) sieve, and the No. 200 (0.075 mm) sieve — are standard practice in all major pavement construction projects.
Variability in gradation is quantified using the fineness modulus (FM) for fine aggregates (sum of cumulative percent retained on standard sieves divided by 100) and the coefficient of uniformity (Cu = D60/D10) for coarse-grained soils and aggregates. These indices provide single-number summaries of the gradation but do not replace the detailed sieve analysis for acceptance purposes.
Aggregate gradation is a fundamental material property controlling the performance of asphalt and concrete pavements. It is determined through standardized sieve analysis (ASTM C136 / AASHTO T 27), which separates aggregate particles by size using a stacked series of standard sieves. The resulting particle size distribution is analyzed graphically using the FHWA 0.45 power chart, where the theoretical maximum density line serves as a reference for evaluating gradation quality.
Well-graded (dense-graded) aggregates follow the maximum density curve closely and produce mixtures with high stability, low permeability, and good workability — making them the standard for most pavement applications. Gap-graded aggregates, missing intermediate particle sizes, provide exceptional rut resistance in stone matrix asphalt applications. Open-graded aggregates, lacking fines, create permeable pavements ideal for drainage and noise reduction.
Nominal maximum aggregate size defines the largest particle in significant quantity and controls lift thickness, workability, surface texture, and structural capacity. Gradation specification bands and Superpave control points define acceptable gradation ranges for each application, with additional considerations for airport pavements under FAA and ICAO standards.
The relationship between gradation and pavement performance is direct: coarse-graded mixes resist rutting through stone-on-stone contact, fine-graded mixes with adequate binder provide good fatigue life, and open-graded mixes facilitate drainage while sacrificing structural strength. Proper gradation design requires balancing these competing performance requirements within the constraints of available aggregate sources, construction methods, and project-specific loading and environmental conditions.
Need expert guidance on aggregate gradation for airport or highway pavements? Our materials engineering team can help you select, design, and implement optimized gradations for asphalt and concrete mixes, ensuring compliance with ICAO, FAA, and AASHTO standards while maximizing performance and service life.
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