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Traffic engineering

Civil Engineering (B.E./B.Tech) · Transportation · free study notes for exams, placements and interviews

In short

Traffic engineering is the branch of transportation engineering that measures, analyses and controls the movement of vehicles and people on roads so that traffic flows safely, quickly and economically. It covers traffic studies (volume, speed, origin-destination, parking, accidents), flow theory, intersection capacity, signal and rotary design, signs, markings and regulation. In India it is governed by IRC codes (IRC 106, IRC 65, IRC 67, IRC 35, IRC SP 41, IRC SP 43) and the Motor Vehicles Act 1988 as amended in 2019. It carries high weightage in GATE Civil (Transportation Engineering) and in university exams, and is the daily work of road and urban-mobility consultancies, NHAI, state PWDs, municipal corporations and metro/BRT agencies.

Explained

Traffic characteristics and traffic studies

Traffic flow theory

Capacity and level of service

Intersections and traffic control devices

Traffic signal design

Traffic management and demand measures

Key points

Formulas and examples

q = k × v — q = flow (veh/h), k = density (veh/km), v = space mean speed (km/h)
Vt = (Σvi)/n (time mean speed, km/h); Vs = n / Σ(1/vi) (space mean speed, harmonic mean); Vt ≈ Vs + σ²/Vs
q = 3600 / h̄ (h̄ = average time headway, s); k = 1000 / s̄ (s̄ = average space headway, m)
Greenshields: v = vf (1 − k/kj); q = vf (k − k²/kj); qmax = vf·kj / 4 at k = kj/2, v = vf/2
Shock wave speed ω = (q2 − q1)/(k2 − k1), m/s or km/h
PHF = V(hour) / (4 × V(peak 15 min))
Theoretical lane capacity C = 1000 V / S — V in km/h, S = average centre-to-centre spacing in m
Webster: Co = (1.5 L + 5) / (1 − Y); L = Σ lost time per phase + all-red (s); Y = Σ yi; yi = qi / si
Effective green for phase i: gi = (Co − L) × yi / Y; displayed green Gi = gi + li − ai
Webster delay per vehicle d ≈ 0.9 [ C(1 − λ)² / (2(1 − λx)) + x² / (2q(1 − x)) ] — λ = g/C, x = q/(λs) degree of saturation
Wardrop rotary practical capacity Qp = 280 w [1 + e/w] [1 − p/3] / [1 + w/L] — w = weaving width (m), e = average entry width (m), L = weaving length (m), p = proportion of weaving traffic; Qp in PCU/h. Valid for w = 6–18 m, e/w = 0.4–1, w/L = 0.12–0.4, p = 0.4–1.
Parking: parking load (vehicle-hours) = Σ (accumulation × time interval); turnover = vehicles parked / (bays × period); parking index = (parking load / parking capacity in vehicle-hours) × 100
Accident rate R = (A × 10⁸) / (365 × T × V × L) — accidents per 100 million vehicle-km; A = accidents, T = years, V = AADT, L = length (km)
Traffic growth: Vn = Vo (1 + r)n — r = annual growth rate, n = years

Example 1 — PCU conversion and capacity check. An urban arterial with two lanes under one-way operation carries, in the peak hour: 900 cars, 1,400 two-wheelers, 150 auto-rickshaws, 80 buses, 60 LCVs.

Example 2 — Time mean vs space mean speed, flow and density. Four vehicles cross a 500 m test section in 30, 36, 40 and 45 s.

Example 3 — Greenshields model and shock wave. A highway lane has free-flow speed vf = 80 km/h and jam density kj = 120 veh/km.

Example 4 — Webster signal design, two-phase. A four-arm intersection is to run on two phases. Critical design flows and saturation flows:

Example 5 — Parking and accident rates. A 200 m kerb length is to be used for parking cars 5 m long and 2.5 m wide.

Intersection controlSuitable flow (total, PCU/h)Main meritMain limitation
Uncontrolled / priorityUp to ~500No delay to major roadUnsafe as flows rise
Channelised at-grade500–1,500Guides movements, cheapNeeds land, still conflicts
Rotary500–3,000No stopping, multi-armFails with one dominant arm or high flow
Signalised1,500–8,000Time separation, pedestrian phaseStop-and-go delay, spillback if over-saturated
Grade separatedAbove ~8,000No at-grade conflictVery costly, land and structure
Speed typeDefinitionUse
Spot speedInstantaneous speed at a pointSpeed limits, accident study
Running speedDistance ÷ time in motionCapacity, operating cost
Journey (overall) speedDistance ÷ total time including stopsCongestion and delay measure
Time mean speedArithmetic mean of spot speedsSpot-speed reporting
Space mean speedHarmonic mean over a lengthq = kv, flow analysis
Design speed98th percentile speedGeometric design (IRC 73/86)

Where it is used

Interview questions

Common mistakes

Related topics

Highway engineering and pavement design · Urban transport planning and metro systems · Intelligent transport systems · Highway construction and maintenance · Railway, airport and bridge basics

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