Highway geometric design: horizontal curves
A simple circular curve is defined by its radius R. Superelevation (e) and side friction (f) balance the centripetal acceleration: e + f = v²/(gR), where v is in m/s and g = 9.81 m/s². The degree of curve D is related to R by R = 1718.87/D (for a 30 m arc definition in metric units).
Check yourself: Have you converted the design speed to m/s before substituting into the equilibrium equation?
Sight distance
Stopping sight distance (SSD) accounts for perception-reaction distance and braking distance. On a level road, SSD = vt + v²/(2gf), where v is speed in m/s, t is perception-reaction time, and f is the longitudinal friction coefficient. Overtaking sight distance is substantially longer and depends on the maneuver model assumed.
Check yourself: Is the gradient zero, or does the grade correction factor apply?
Traffic flow fundamentals
The fundamental relationship is q = k × v, where q is flow (vehicles/hr), k is density (vehicles/km), and v is space-mean speed (km/hr). At maximum flow (capacity), density is between zero and jam density. Space-mean speed is the harmonic mean of spot speeds, not the arithmetic mean.
Check yourself: Are you using space-mean speed or time-mean speed in the flow equation?
Traffic signal design
Webster's optimum cycle length minimizes total delay for a given set of phase flows. The effective green time accounts for start-up lost time and end clearance. The degree of saturation is the ratio of actual flow to saturation flow for each phase; values above 1.0 indicate oversaturation and growing queues.
Check yourself: Have you subtracted total lost time from the cycle length to get total effective green?
Pavement design concepts
Flexible pavements distribute load through granular layers; rigid pavements use slab action. The California Bearing Ratio (CBR) characterizes subgrade strength. Equivalent single-axle loads (ESALs) convert mixed traffic to a standard 80 kN single axle. Higher axle loads increase ESALs non-linearly (approximately by the fourth power).
Check yourself: Is the load conversion using the correct power law for the pavement type?