How to Apply SAE J1098 TKPH for Off-the-Road Tires: Preventing Heat Damage

The SAE J1098:2024 standard establishes procedures for applying Tonne Kilometer Per Hour (TKPH) ratings to off-the-road tires. Understanding and correctly using this metric is essential to prevent heat-related tire damage, optimize tire life, and maintain safety in earthmoving operations. This guide breaks down the key concepts, calculation methods, and corrective actions based on the standard.

Understanding TKPH and Heat Damage

Tire heat is generated primarily by flexing of the tire under load. The temperature at the undertread-carcass interface determines the TKPH rating. When a tire operates at its rated TKPH, it reaches a stable equilibrium temperature without heat damage. Exceeding this rating due to higher loads, speeds, or ambient temperatures leads to progressive heat damage that may go undetected.

Key factors influencing tire temperature include:

  • Load and inflation pressure: Underinflation increases deflection and heat.
  • Work cycle: combinations of empty and loaded hauls, cycle speed.
  • Ambient temperature: TKPH is normalized to 38°C; deviations require corrections.
  • Road conditions, brake heat, vehicle design, and exhaust proximity.

⚠️ Important: TKPH does not account for all heat factors such as brake heat or road conditions. These must be considered separately in tire selection.

Calculating the TKPH Job Rate: A Step-by-Step Guide

The TKPH job rate (J) is calculated for the tire with the highest average load in the work cycle. The standard provides a general formula and a working formula.

Table 1: Nomenclature for TKPH Calculation
Symbol Variable Unit
H Time from start of first shift to end of last shift hours
J Job rate in TKPH TKPH
K Length of round trip km
KL Length of loaded haul km
KE Length of empty haul km
N Number of round trips in time H
NL Number of loaded trips in time H
NE Number of empty trips in time H
R Tire TKPH rating per SAE J1015 TKPH
TL Tire load on loaded machine tonnes
TE Tire load on empty machine tonnes
Average load for the highest-loaded tire (TL + TE)/2 tonnes

Working Formula:

J = (T̄ × K × N) / H

Where T̄ = (TL + TE) / 2 for the tire with the highest average load. This formula assumes the empty and loaded haul distances are equal. If not, consult the tire manufacturer. Use the maximum round trips per hour if they are not uniform.

🛠️ Engineering Design Insight: Heat generation is not simply linear with load and speed. While the TKPH formula provides a practical tool, always confirm with tire manufacturers for non-standard applications. The tire with the highest average load drives the calculation—not the highest peak load. Also, ambient temperatures above 38°C reduce the effective TKPH capacity; apply correction factors as advised by the supplier.

Evaluating Results and Correcting Excessive TKPH

Compare the job rate J to the tire rating R:

  • If J ≤ R: Heat damage should not occur under normal conditions.
  • If J > R: Action must be taken to reduce the job rate or increase the tire rating.

Remedies for excessive TKPH include:

  1. Reduce the tire load T̄ (e.g., decrease payloads).
  2. Reduce average speed—add delays or reduce trips N per shift.
  3. Shorten the round trip distance K by optimizing routes.
  4. Select tires with a higher TKPH rating R.
⚠️ Caution: Heat damage is progressive and may go unnoticed until failure occurs. Even if calculations indicate acceptable TKPH, any change in site conditions (higher ambient temperatures, increased cycle speed, or road crown) can shift the job rate into a damaging range. Periodic field temperature studies are recommended for confirmation.

Frequently Asked Questions about TKPH

How is the TKPH job rate calculated for a given work cycle?

The job rate J is calculated using the working formula J = (T̄ × K × N) / H, where T̄ is the average load on the highest-loaded tire, K is the round trip distance, N is the number of round trips, and H is the total operating hours. The tire with the highest average load must be identified.

What is the relationship between tire load, speed, and heat generation?

Heat generation increases with higher loads and speeds, but not linearly. The TKPH metric combines load and travel distance per hour into a single index. Higher speeds increase the frequency of flex cycles per unit time, while heavier loads increase the deflection and internal energy. Both accelerate heat build-up.

When is a tire’s TKPH rating sufficient to prevent heat damage?

The tire’s rating R is sufficient when the calculated job rate J is less than or equal to R (J ≤ R), after accounting for ambient temperature and other job-site factors. However, the rating assumes continuous operation; if equilibrium temperature has not been reached in previous shifts, heat damage can still occur despite a favorable calculation.

What are the limitations and corrective actions if job rate exceeds tire rating?

Limitations include equal distances for empty and loaded hauls, uniform trips per hour, and adherence to load/inflation specifications. If J > R, you can reduce load, speed, or distance, or select a higher-rated tire. Always consult the tire manufacturer for deviations from standard conditions.


Source: SAE J1098:2024 Tonne Kilometer Per Hour Application. This guide summarizes key points for practical application. Always refer to the full standard for comprehensive requirements.

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