> The damages are proportional to the root of the weight I'm not sure where the root of weight estimate came from, because you seem to understand the overall e

> The damages are proportional to the root of the weight I'm not sure where the root of weight estimate came from, because you seem to understand the overall effect of weight reasonably well. In any event, road damage is roughly proportional to the fourth power (not square root) of axle weight (and linear with axle count).