The coefficient of thermal expansion (CTE) of aluminum 6061 is 23.6 μm/(m·°C) — often written as 23.6 × 10⁻⁶/°C or 23.6 ppm/°C. In US customary units: 13.1 μin/(in·°F).
This value means that every metre of 6061 aluminum expands by 23.6 micrometres for every degree Celsius rise in temperature. A 1,000 mm aluminum extrusion heated from 20°C to 70°C (a 50°C rise) elongates by:
1,000 mm × 23.6 × 10⁻⁶/°C × 50°C = 1.18 mm
That 1.18 mm expansion is why precision fixtures, assembly jigs, tight-tolerance assemblies, and structures spanning temperature ranges require CTE calculations — and often require selecting materials with matched or compensated CTE values.
CTE of Aluminum 6061: Reference Values
Standard reference values
| Value | Unit | Application |
|---|---|---|
| 23.6 | μm/(m·°C) = 10⁻⁶/°C = ppm/°C | SI standard; structural analysis |
| 13.1 | μin/(in·°F) | US customary; aerospace and tooling |
| 23.6 × 10⁻⁶ | m/m/°C | Dimensionless fractional form |
| 23.6 × 10⁻⁶ | K⁻¹ | Scientific notation; same numerical value as per °C |
Source: ASM Handbook, Volume 2: Properties and Selection — Nonferrous Alloys and Special-Purpose Materials, 10th Edition; MIL-HDBK-5J.
Does temper affect CTE? Unlike yield strength (dramatically affected by temper) and unlike thermal conductivity (moderately affected), the CTE of 6061 is essentially the same across all tempers: O, T4, T6, T651. The CTE is governed by the Al-Al bond elasticity and lattice parameter — properties that are insensitive to the Mg₂Si precipitate population that changes with heat treatment. Use 23.6 μm/(m·°C) for all 6061 tempers.
Temperature dependence of CTE
CTE is not perfectly constant with temperature. For 6061, the mean CTE varies slightly over different temperature ranges:
| Temperature range | Mean CTE μm/(m·°C) |
|---|---|
| −50°C to 20°C | 21.4 |
| 20°C to 100°C | 23.6 |
| 20°C to 200°C | 24.6 |
| 20°C to 300°C | 25.5 |
| 20°C to 400°C | 26.4 |
Source: MIL-HDBK-5J; ASM Handbook Vol. 2.
The CTE increases with temperature — aluminum expands more per degree at 300°C than at 20°C. For most ambient-temperature engineering applications (0°C to 100°C), 23.6 μm/(m·°C) is accurate to within ±3%. For elevated-temperature applications (above 150°C), use the temperature-range-specific value.
CTE Calculation for 6061 Aluminum: The Fundamental Formula
Linear thermal expansion
For a one-dimensional member (rod, bar, extrusion), the change in length is:
ΔL = α × L₀ × ΔT
Where:
- ΔL = change in length (mm or inches)
- α = CTE = 23.6 × 10⁻⁶/°C
- L₀ = original length at reference temperature
- ΔT = temperature change (°C or K)
Worked examples:
Example 1 — Precision fixture rail: A 600 mm 6061-T6 aluminum rail on a production fixture operates between 18°C (morning startup) and 45°C (after 2 hours of operation). Temperature range: ΔT = 27°C.
ΔL = 23.6 × 10⁻⁶ × 600 × 27 = 0.382 mm
If the fixture holds parts to ±0.1 mm, this 0.382 mm thermal growth will cause location errors throughout the operating day unless compensated.
Example 2 — Structural panel: A 3,048 mm (10-foot) 6061-T6 aluminum structural panel in an outdoor enclosure experiences temperatures from −20°C in winter to +60°C in summer. ΔT = 80°C.
ΔL = 23.6 × 10⁻⁶ × 3,048 × 80 = 5.75 mm
This 5.75 mm expansion over 10 feet is significant for joint design — the connection details must accommodate this movement without buckling the panel or pulling fasteners out of position.
Volumetric thermal expansion
For volume expansion (cubic expansion), the volumetric CTE is approximately three times the linear CTE for isotropic materials:
αᵥ ≈ 3α = 3 × 23.6 × 10⁻⁶ = 70.8 × 10⁻⁶ /°C
This is relevant for sealed fluid systems containing aluminum components, for density-temperature corrections, and for dimensional calculations involving three-dimensional aluminum parts.
Thermal stress when expansion is constrained
When an aluminum component is prevented from expanding freely — for example, bolted between rigid steel supports — thermal stress develops:
σ_thermal = E × α × ΔT
Where E = 68.9 GPa for 6061 aluminum.
For a 50°C temperature rise, fully constrained:
σ_thermal = 68,900 MPa × 23.6 × 10⁻⁶ × 50 = 81.3 MPa
This 81.3 MPa thermal stress is approximately 29% of the 6061-T6 yield strength (276 MPa). For a 120°C temperature rise (common in electronic enclosures):
σ_thermal = 68,900 × 23.6 × 10⁻⁶ × 120 = 195 MPa = 71% of yield strength
At 120°C temperature differential, a fully constrained 6061-T6 member approaches 71% of yield — dangerously close in cyclic thermal fatigue. This is why expansion joints, slotted bolt holes, and sliding connections are essential in aluminum structures exposed to large temperature swings.
CTE of 6061 vs. Other Materials: The Mismatch Problem
Differential thermal expansion between dissimilar materials in contact is the source of interface stress, fatigue, fastener loosening, and joint failure in mixed-material assemblies. The CTE comparison table is the essential reference for these calculations:
| Material | CTE μm/(m·°C) | Ratio to 6061 aluminum | Notes |
|---|---|---|---|
| Invar (FeNi36) | 1.2 | 0.051× | Ultra-low CTE; precision instruments |
| CFRP (0° fiber) | 0–2 | 0–0.085× | Fiber direction; anisotropic |
| Borosilicate glass | 3.3 | 0.14× | Pyrex; optical and lab glass |
| Titanium Ti-6Al-4V | 8.6 | 0.36× | Lower CTE — better match to steel |
| Carbon steel A36 | 11.7 | 0.50× | Most common structural metal |
| 304 stainless steel | 17.2 | 0.73× | Higher than carbon steel |
| Cast iron (gray) | 10.8 | 0.46× | Similar to carbon steel |
| Copper | 17.0 | 0.72× | Similar to stainless |
| Aluminum 6061 | 23.6 | 1.00× | Reference |
| Aluminum 7075 | 23.6 | 1.00× | Same as 6061 |
| Magnesium AZ31B | 26.0 | 1.10× | Slightly higher than aluminum |
| Zinc | 30.2 | 1.28× | Notably higher |
The key CTE mismatches for fabricators:
Aluminum bolted to steel: Steel CTE (11.7) is approximately half of aluminum’s (23.6). A steel bolt through an aluminum flange over a 100°C temperature excursion develops differential expansion of (23.6 − 11.7) × 10⁻⁶ × ΔT per unit length. For a 100 mm long bolt span at 100°C ΔT: 11.9 × 10⁻⁶ × 100 × 100 mm = 0.119 mm relative movement. Over thousands of cycles, this differential causes fretting and fastener loosening. Anti-loosening thread treatments (thread-locking compound, Belleville washers, prevailing torque nuts) are standard practice for aluminum-steel bolted connections in thermal cycling service.
Aluminum with CFRP: Carbon fiber reinforced polymer in the fiber direction has essentially zero CTE (0–2 μm/(m·°C)). Aluminum’s 23.6 is one of the largest mismatches in aerospace structures. At joint interfaces, each thermal cycle causes shear stress on the adhesive or fastener. Aircraft designs carefully analyze thermal fatigue at aluminum-CFRP interfaces — a primary driver for the growing use of titanium fittings at composite joints, since titanium’s CTE (8.6) is closer to CFRP than aluminum’s is.
CTE of 6061 Aluminum vs. Other Aluminum Alloys
All aluminum alloys have very similar CTE values — the lattice parameter and bond stiffness vary little across alloy families:
| Alloy | CTE μm/(m·°C) |
|---|---|
| Pure aluminum (1100) | 23.6 |
| 2024-T3 | 23.2 |
| 3003 | 23.2 |
| 5052-H32 | 23.8 |
| 6061-T6 | 23.6 |
| 6063-T6 | 23.4 |
| 7075-T6 | 23.6 |
| A356 (casting) | 21.4 |
The variation across all wrought aluminum alloys is approximately ±0.5 μm/(m·°C) — less than 2% of the nominal value. For any engineering calculation involving mixed aluminum alloys, use 23.6 μm/(m·°C) for all grades without error.
The slightly lower CTE of A356 casting alloy (21.4 μm/(m·°C)) reflects the high silicon content (7% Si) — silicon has a lower CTE (2.6 μm/(m·°C)) than aluminum, pulling the alloy average down.
CTE in Precision Manufacturing With 6061 Aluminum
Laser-cut 6061 aluminum and thermal growth
When a fiber laser cuts a 6061 aluminum part, the base material heats up in the vicinity of the cut. If the part is laser cut at 30°C above ambient and then measured at 20°C, a 500 mm feature will appear 0.12 mm shorter at measurement than it was during cutting:
ΔL = 23.6 × 10⁻⁶ × 500 × 10 = 0.118 mm
For features with ±0.5 mm tolerances, this effect is negligible. For features with ±0.1 mm tolerances, it becomes significant, and for ±0.05 mm precision features, parts should be thermally stabilized to the reference temperature before measurement.
CNC machining centers for precision aluminum work are temperature-controlled for exactly this reason: a 10°C ambient variation translates to 0.236 mm of thermal error per metre of axis travel on an aluminum workpiece. Metrology laboratories operate at 20°C ± 0.5°C to limit this error to ±0.012 mm per metre.
Compound structures with aluminum and steel
When 6061 aluminum components are assembled into a steel frame or with steel inserts, the differential expansion must be accommodated in the joint design. The standard approaches:
Clearance holes: Steel bolts through aluminum flanges use clearance holes with enough clearance to accommodate differential movement without creating bending stress in the bolt.
Floating fasteners: Slotted holes in one of the mating parts allow free movement in the direction of differential expansion while preventing separation perpendicular to the interface.
Compliant adhesive layers: In bonded assemblies, a flexible adhesive (silicone, rubber-toughened epoxy) between aluminum and steel absorbs the differential strain without transmitting shear stress to the adherents.
Titanium inserts: Where aluminum is bolted to CFRP composite, titanium inserts in the aluminum have CTE 8.6 μm/(m·°C) — closer to CFRP’s near-zero CTE than aluminum’s 23.6, reducing the mismatch at the critical CFRP interface.
Frequently Asked Questions About CTE Aluminum 6061
Q: What is the CTE of aluminum 6061?
23.6 μm/(m·°C) — also written as 23.6 × 10⁻⁶/°C or 23.6 ppm/°C. In US customary: 13.1 μin/(in·°F). This value applies to all 6061 tempers (O, T4, T6, T651) at room temperature and in the range 20°C to 100°C. The CTE increases slightly with temperature: at the 20°C to 300°C mean range, it is approximately 25.5 μm/(m·°C).
Q: Does the T6 temper change the CTE of 6061 aluminum?
No. The CTE of 6061 is 23.6 μm/(m·°C) in all temper conditions — O, T4, T6, T651. Unlike yield strength and thermal conductivity, which are microstructure-sensitive, the CTE is governed by the fundamental interatomic bond elasticity of the aluminum lattice. The Mg₂Si precipitates that create T6 temper hardening do not change the Al-Al bond stiffness or the lattice thermal expansion.
Q: What is the thermal expansion of 6061 aluminum for a 100°C temperature change?
For a 1-metre length: ΔL = 23.6 × 10⁻⁶ × 1,000 mm × 100°C = 2.36 mm. For a 500 mm length: 1.18 mm. For a 3,000 mm length: 7.08 mm. Scale directly proportional to both length and temperature change.
Q: How does aluminum’s CTE compare to steel’s?
Aluminum 6061 CTE (23.6 μm/(m·°C)) is approximately twice that of carbon steel A36 (11.7 μm/(m·°C)). In a mixed aluminum-steel assembly experiencing a 100°C temperature range, the aluminum components expand twice as much as the steel components over the same length. This differential drives the interface stresses, fastener loosening, and joint fatigue that require specific accommodation in the joint design.
Q: Why is the CTE of aluminum important for laser cutting?
In laser cutting, parts are cut at elevated temperatures and measured at room temperature. The thermal contraction from cutting temperature to measurement temperature changes part dimensions according to ΔL = 23.6 × 10⁻⁶ × L × ΔT. For ±0.5 mm tolerances, this is negligible for any practical ΔT. For ±0.1 mm or tighter tolerances, stabilizing the part to the measurement reference temperature (typically 20°C) before measurement is necessary — particularly for large parts or significant temperature differences between cutting and inspection environments.
References
- ASM Handbook, Volume 2: Properties and Selection — Nonferrous Alloys and Special-Purpose Materials, 10th Edition. ASM International, Materials Park, OH, 1990. (CTE values for 6061 and all aluminum alloy series by temper; temperature dependence of CTE for 6xxx aluminum; comparison of aluminum CTE with other engineering metals; volumetric expansion coefficient.)
- MIL-HDBK-5J, Metallic Materials and Elements for Aerospace Vehicle Structures, U.S. Department of Defense, 2003. (Temperature-dependent CTE data for 6061-T6 across the full service temperature range; CTE values for aerospace aluminum alloys and titanium alloys; the design authority source for 13.1 μin/(in·°F) US customary value.)
- ASTM E228, Standard Test Method for Linear Thermal Expansion of Solid Materials with a Push-Rod Dilatometer, ASTM International, current edition. (Measurement methodology for CTE; push-rod dilatometer procedure; temperature range and accuracy requirements; basis for the experimental CTE data cited in this article — the standard that defines how CTE is measured for metallic materials, including aluminum alloys.)
- National Institute of Standards and Technology (NIST), NIST Standard Reference Data, available at nist.gov/srd. (Reference material thermal expansion data; standard measurement conditions (20°C reference temperature); conversion between linear and volumetric CTE for isotropic materials; Lorenz number and thermal physics constants used in CTE-stress calculations.)
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