American Rural HighwaysAgg, T. R. (Thomas Radford)
Science
American Rural Highways
Agg, T. R. (Thomas Radford)
Roads -- United States
_F = f_{r} + f_{i} + f_{p} + f_{a} + f_{g}_ (1)
where
_f_{r}_ = rolling resistance of road surface.
_f_{i}_ = resistance due to internal friction in the vehicle.
_f_{p}_ = resistance due to impact of the road surface.
_f_{a}_ = resistance due to air.
_f_{g}_ = resistance due to grade, which is positive when
ascending and negative when descending.
All of the above in pounds per ton of 2000 lbs.
Let _T_ = the tractive effort applied to the vehicle by any means.
_T_ >= must be greater than _F_ in order to move the vehicle.
By an inspection of (1), it will be seen that for a given vehicle and
any type of road surface, all terms are constant except _f_{a}_ and
_f_{g}_. _f_{a}_ varies as the speed of the vehicle and the driver can
materially decrease _f_{a}_ by reducing speed. _f_{g}_ varies with the
rate of grade. For any vehicle loaded for satisfactory operation on a
level road with the power available, the limiting condition is the
factor _f_{g}_. If the load is such as barely to permit motion on a
level road, any hill will stall the vehicle. Therefore, in practice
the load is always so adjusted that there is an excess of power on a
level road. If draft animals are employed the load is usually about
one fourth of that which the animals could actually move by their
maximum effort for a short period. With motor vehicles, the excess
power is provided for by gearing.
If it be assured a load of convenient size is being moved on a level
road by draft animals, there is a limit to the rate of grade up which
the load can be drawn by the maximum effort of the animals.
Tests indicate that the horse can pull at a speed of 2-1/2 miles per
hour, an amount equal to 1/8 to 1/10 of its weight, and for short
intervals can pull 3/4 of its weight. The maximum effort possible is
therefore six times the average pull, but this is possible for only
short intervals. A very short steep hill would afford a condition
where such effort would be utilized. But for hills of any length, that
is, one hundred feet or more but not to exceed five hundred feet, it
is safe to count on the draft animal pulling three times his normal
pulling power for sustained effort.
The limiting grade for the horse drawn vehicle is therefore one
requiring, to overcome the effect of grade, or _f_{g}_, a pull in
excess of three times that exerted on the level.
Public-domain text, read in full here on John Shaqi.
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