American Rural HighwaysAgg, T. R. (Thomas Radford)
Science
American Rural Highways
Agg, T. R. (Thomas Radford)
Roads -- United States
=Intersections.=--At road intersections, it is always difficult to
design a curve that entirely meets the requirements of safety because
there is not enough room in the right-of-way, and enough additional
right-of-way must be secured to permit the proper design. It is not
necessary to provide an intersection that is adapted to high speed
traffic, where main roads cross, but, on the contrary, a design that
automatically causes traffic to slow up has distinct advantages.
Where a main route, improved with a hard surface, crosses secondary
roads, it is satisfactory to continue the paved surface across the
intersecting road at normal width and make no provision for the
intersecting road traffic other than a properly graded approach at the
intersection.
=Superelevation.=--On all curved sections of road, other than
intersections, account is taken of the tendency of motor cars to skid
toward the outside of the curve. This tendency is counteracted by
designing the cross section with superelevation.
[Illustration: Fig. 6]
In Fig. 6, _F_ represents the tangential force that tends to cause
skidding. _W_ represents the weight of the vehicle in pounds, THETA
= the angle of superelevated surface _c-d_, with the horizontal _c-a_.
_R_ represents the radius of the curve upon which the vehicle is
moving. _w_ is the component of the weight parallel to the surface
_c-d_, _v_ = velocity of the vehicle in feet per second. _m_ = mass
of vehicle = _W/g THETA_
_w_ = _W_ tan _THETA_
_mv^2_ _wv^2_
_F_ = ------- = ------
_R_ _gR_
If _F_ = _w_ there will be no tendency to skid; hence the rate of
superelevation necessary in any case is as follows:
_Wv^2_
_W_ tan _THETA_ = -------
_gR_
_v^2_
tan _THETA_ = -------
_gR_
The amount of superelevation required, therefore, varies as the square
of the velocity and inversely as the radius of the curve.
Public-domain text, read in full here on John Shaqi.
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