American Rural HighwaysAgg, T. R. (Thomas Radford)
Science
American Rural Highways
Agg, T. R. (Thomas Radford)
Roads -- United States
A team of draft animals weighing 1800 lbs. each could exert a
continuous pull of about 1/10 of their weight or 360 lbs. If it be
assumed that the character of the vehicle and the road surface is such
that _f_{r}_ + _f_{i}_ + _f_{p}_ + _f_{a}_ = 100 lbs. per gross ton on
a level section of road, then the gross load for the team would be 3.6
tons. The same team could for a short time exert an additional pull of
three times 360 lbs. or 1080 lbs. For each 1 per cent of grade a pull
of 20 lbs. per ton would be required or _f_{g}_ for the 3.6 tons load
would be 72 lbs. for each per cent of grade. At that rate, the
limiting grade for the team would be fifteen per cent.
If, however, the character of the vehicle and the road surface were
such that _f_{r}_ + _f_{i}_ + _f_{p}_ + _f_{a}_ = 60 lbs. per gross
ton on a level section of road, the gross load for the team on the
level would be 6 tons, and the limiting grade 9 per cent.
The above discussion serves to illustrate the desirability of adopting
a low ruling or limiting grade for roads to be surfaced with a
material having low tractive resistance and the poor economy of
adopting a low ruling grade for earth roads or roads to be surfaced
with material of high tractive resistance.
It may be questioned whether horse drawn traffic should be the
limiting consideration for main trunk line highways, but it is
certain that for a number of years horse drawn traffic will be a
factor on secondary roads.
In the case of motor vehicles, excess power is provided by means of
gears and no difficulty is encountered in moving vehicles over grades
up to 12 or 15 per cent, so that any grade that would ordinarily be
tolerated on a main highway will present no obstacle to motor
vehicles, but the economy of such design is yet to be investigated.
=Energy Loss on Account of Grades.=--Whether a vehicle is horse drawn
or motor driven, energy has been expended in moving it up a hill. A
part of this energy has been required to overcome the various
resistances other than grade, and that has been dissipated, but the
energy required to translate the vehicle against the resistance due to
grade has been transformed into potential energy and can be partially
or wholly recovered when the vehicle descends a grade, provided the
physical conditions permit its utilization. If the grade is so steep
as to cause the vehicle to accelerate rapidly, the brakes must be
applied and loss of energy results. The coasting grade is dependent
upon the character of the surface and the nature of the vehicle. In
the cases discussed in the preceding paragraph, the coasting grades
would be five per cent and three per cent respectively. For horse
drawn vehicles then the economical grades would be three and five per
cent, which again emphasizes the necessity of lower grades on roads
that are surfaced than on roads with no wearing surface other than the
natural soil.
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