the drivers travel at or below one speed category above the design speed (i.e. if
the speed limit is set at 85 km/hr, it can be assumed that 85% of the drivers will
travel at or below this value while 99% will travel at or below 120 km/hr).
The speed bands are thus related to each other by a factor equal to the fourth
root of 2, taken as being approximately 1.19. Thus, if the chosen design speed
is by definition the 85th percentile speed for that highway, then the next speed
band up will constitute its 99th percentile speed. The same factor separates the
chosen design speed and the next speed band down, which constitutes the 50th
percentile or mean speed, thus:
The design bands can thus be structured as shown in Table 6.2.
99 2 1 19
802119
4
4
th percentile 85th percentile
5th percentile 5 th percentile
∏==
∏==
.
.
156 Highway Engineering
85th percentile speed 99th percentile speed
120 145
100 120
85 100
70 85
60 70
Table 6.2Framework
for design speeds
The geometric properties associated with the design speed of a highway con-
stitute ‘desirable values’ at which 85% of the drivers are travelling with complete
safety. The geometric values of the next design speed up constitute a standard
at which 99% of the drivers can travel safely at the original design speed. Con-
versely, the geometric values of the next design speed down will constitute a
relaxation at which only 50% of the drivers will be in a position to travel with
complete safety at the original design speed. Such values constitute absolute
minimum values. However, these may have to be adopted in difficult design con-
ditions where many constraints both physical and otherwise exist.
Thus, in conclusion, the 85th percentile speed is selected as the design speed
on the basis that it constitutes the most appropriate and judicious choice, as use
of the 99th percentile would prove extremely expensive while extensive use of
the 50th percentile may prove unduly unsafe for the faster travelling vehicles.
6.2.2 Urban roads
Within the UK the design speed for an urban highway is chosen on the basis of
its speed limit. The value chosen will allow a small margin for speeds greater
than the posted speed limit (DoT, 1993). For speed limits of 48, 64, 80 and
96 km/hr, design speeds of 60B, 70A, 85A and 100A respectively are employed.