Oversize & overweight

What is the Federal Bridge Formula?

The federal calculation that caps the weight on any group of two or more consecutive axles, based on how far apart the outer axles of that group are.

Oversize & overweight

The Federal Bridge Formula limits how much weight a group of axles may carry based on how far apart they are. It exists to stop a heavy load from concentrating its mass over a short span of bridge deck: spread 80,000 lb over 51 feet and the bridge is fine; bunch it into 20 feet and it is not.

W = 500 × ( (L × N) / (N − 1) + 12N + 36 ) — where W is the maximum weight in pounds on a group of two or more axles to the nearest 500 pounds, L is the distance in feet between the outer axles of the group, and N is the number of axles being considered.

23 U.S.C. §127(a) / 23 CFR Part 658, as published in Bridge Formula Weights, FHWA-HOP-19-028, August 2019. Public domain.

The part that is easy to get wrong is not the arithmetic — it is the scope. Compliance is not "check the steer axle, the drives and the trailer tandems". It is every group of two or more consecutive axles, all N(N−1)/2 of them; a five-axle tractor-semitrailer has ten such groups. The classic failure is a rig whose every named group passes and whose interior span across axles two through five does not.

Check an axle layout against the formula →

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