Imagine you are flying through space.
Now imagine that you are flying through space and that a road appears
behind you as you fly. You can go straight, turn left or right,
or veer up or down. You can keep the ship level and turn right,
or you can go straight and veer upwards, or you can turn left and
veer downwards. There are all kinds of possibilities.
Now look behind your ship
and the road you just made. How would you describe it?
Engineers have special terms to describe these turns in the roadway.
They are called horizontal curves and vertical curves.
This picture shows the
horizonal curve information.
This picture shows the vertical curve
information, as well as the begining grade and ending grade of the
roadway.
Imagine you are back in your
ship. If you keep the ship level and turn left or right, the
segment of road is in a horizontal curve.

Now, if you go straight,
but turn up or down, the segment of road is a vertical curve.
That's all there is to it.
Of course, in real life roads often curve vertically and horizontally
at the same time, like the spaceship turning left and going down at
the same time. Engineers use mathematical expressions to describe
the length and sharpness of these curves.
As we know already, engineers
try to make the road as straight as possible. However, in order
to follow the landscape and observe all the other factors we have
learned about, the road needs vertical and horizontal curves.
There are rules that engineers follow when laying out curves to make
sure the roadway is safe for traffic. These guidelines are based
mainly on traffic speed and visibility.
Horizontal curves, and vertical
curves to some extent, are controlled by traffic speed. If the
curve is too tight, vehicles will have the tendency to skid off the
road when they travel through the curve. This is due to centrifugal force.
Centrifugal force is the
tendency for an object traveling in a circular path to move outward
from the center of the circle. Have you ever been spun on a
merry-go-round? The force pushing you out away from the center
of the merry-go-round is centrifugal force.
When you go around a horizontal
curve, you can imagine yourself traveling around part of a very large
circle. The curve must be gradual enough so that the centrifugal
force is not large enough to force your vehicle off the road.
Since centrifugal force depends on vehicle speed, higher-speed roads
need to have more gradual curves. Have you ever noticed a road
sign before a tight curve that warns you to slow down? It's
all because of centrifugal force. This is not as much of an
issue for vertical curves, as the curve would need to be very sharp
and the vehicle traveling very fast for the vehicle to actually fly
off the roadway (think of a race car driver).
Vertical and horizontal curves
are also controlled by visibility, or sight distance. This is
the ability of the driver of a vehicle to see an object (like another
car) in the roadway. Engineers must design curves so that drivers
are able to see objects far enough away so that they have time to
react; such as stopping or swerving to miss it. The time the
driver has and the distance it takes for them to stop depend on the
speed of the vehicle. This is the reason for no-passing zones
on two-lane roads.

The previous section can
explain part of the reason we have speed limits on our highways.
If you travel well above the speed limit, you could be endangering
yourself and others on the roadway.