Understanding SAE J2718: Quasi-Static Tire Longitudinal and Lateral Stiffness Testing

Overview and Purpose of SAE J2718

SAE J2718 is a recommended practice from SAE International that defines test procedures for determining the linear range longitudinal and lateral stiffness of a statically loaded, non-rotating tire. The standard covers two closely related procedures: one for longitudinal displacement (parallel to the X’-axis in the SAE Tire Axis System) and one for lateral displacement (parallel to the Y’-axis). The resulting force-versus-deflection data is essential for developing road load models used in vehicle dynamics simulation and for comparative tire evaluations during research and development.

Key to the method is the concept of shear deflection, defined as the change in relative horizontal position between the contact center and the projection of the wheel center onto the road plane. These deflections are considered equivalent regardless of whether motion comes from translating the hub or the simulated roadway.

Critical Apparatus and Measurement Requirements

The standard is test-machine neutral but imposes stringent specifications on loading, positioning, and measuring systems to ensure accuracy and repeatability. The table below summarizes key tolerances:

Parameter Requirement
Normal Force Accuracy ±1.0% of full-scale range
Force Measurement (FX, FY, FZ) ±0.5% of full-scale range
Displacement Measurement (δX, δY) ±0.5 mm
Tire/Wheel Plane Perpendicularity ±0.1°
Hub Rotation (locked) < 0.1° at highest longitudinal force
Unintended Relative Shear Motion ≤ 2% of total shear displacement at the test limit

🛠️ Engineering Design Insight: The 2% limit on unintended shear motion forces the test machine to be extremely stiff. This ensures that the measured compliance originates from the tire structure, not from the test fixture. Similarly, the normal force range must accommodate loads up to three times the reference load to capture the full linear regime.

The simulated roadway must be a smooth, flat surface coated with 120-grit abrasive and large enough to support the tire footprint. The entire test environment must be maintained at 22 ± 2 °C.

Test Execution and Quality Assurance

Each test involves displacing the contact center relative to the wheel center to generate shear force versus shear deflection data. The displacement is applied monotonically until the shear force reaches one-third of the applied normal force at three times the reference load. The linear region of the resulting curve is used to compute longitudinal or lateral stiffness.

To guarantee reliable results, the performing laboratory must operate a quality system conforming to ISO 17025 or its functional equivalent. All measuring system components must be calibrated annually with traceability to national standards.

⚠️ Important: During testing, the hub must be locked to prevent rotation. If the hub rotates more than 0.1° under the highest longitudinal force, the shear deflection measurement will be compromised. Always verify the lock mechanism before starting a test.

Frequently Asked Questions

What is the difference between longitudinal and lateral shear deflection?

Longitudinal deflection (δX) is the relative displacement parallel to the SAE X’-axis (forward/aft direction), while lateral deflection (δY) is parallel to the Y’-axis (side-to-side). Each produces its own force–displacement curve and resulting stiffness value.

What accuracy is required for force and displacement measurements?

Normal, lateral, and longitudinal forces must be measured with ±0.5% of the test machine’s full-scale range for that axis. Displacements must be accurate to within ±0.5 mm.

How is test repeatability achieved?

Repeatability depends on strict control of test environment (22 ± 2 °C), machine stiffness requirements, annual calibrations, and a laboratory quality system per ISO 17025. Additionally, using a test wheel that meets OEM dimensional tolerances helps minimize variability.

Can the test be used for passenger tires and truck tires alike?

Yes, as long as the test machine is sized to handle the required loads and displacements. The standard is designed to be machine-neutral and scaleable.

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