Saturday, August 31, 2024

HIGHWAY - SHORT NOTES

 


INTRODUCTION

  • Index plan → Roads and bridge project

  • Zero mile stone → Nagpur

  • Wind resistance on vehicle =CAV2

Development of Highway  (RaTTe M)

  • Roman→ Trezeguet → Metcalf → Telford →Macadam constⁿ

  • CPWD → Est. by Lord Dalhousie in 1865

  • Longest road (GT rd Lahore-WB)  → Constructed during the time of Shershah suri in 1545

  • Road foundation for modern highway → Macadam

imp years (JRC IMC)

  • 1927 → Jaykar committee

  • 1928: Recommendation by Jaykar committee

  • 1929: CRF,Central road fund

  • 1930: CRO, Central road organisation

  • 1934 → IRC (Indian Road Congress)

  • 1939 → Motor vehicle act

  • 1952: CRRI central road research institute

  • 1956: National Highway Act

  • 1960: BRO

  • 1978 : National transport policy

Nagpur Plan (1943-63)

Bombay (1961-81)

Lucknow (1981-2001)

→ finished in 1961

→ Road density 16km/100km²

→ Star & Grid pattern

→ 5 types → NH, SH, MDR, ODR, VR

→ width of formation in hard rock cutting for NH = 7.9 m

→ Village road width = 2.45 m

→ 32km/100km²

→  1600 km Express


→ 82 km/100km²

→ Square & Grid

→ Expressway 2000km, NH 66000 km, SH 145000 kms

→ Primary → Expressway + NH

→ Secondary → SH + MDR

→ Tertiary → ODR + VR

Road Length

  • NH = Area(Km²)/50

  • SH = 2 x NH = Area/25 or (62.5 x no of town - NH)

  • MDR = 4 x NH = Area/12.5 or  (90 x no of Town)

  • Total Road length = 4.74 x (Town + village) or 82 km/100km²

  • VR = Total Road length - NH - SH - MDR

  • Urban road Road within a city or town

Road patterns

  • Radial/Star & circular → New delhi connaught place

  • Radial/Star & rectangular =

  • Rectangular or block pattern = Chandigarh

  • Radial/Star & Grid = Nagpur road plan

  • Hexagonal pattern  

Factor controlling alignment

  • Obligatory site → Bridge site, zoo, town, temple

  • Traffic requirement → O & D study (desire line), Show trend of traffic

  • Geometric requirement → Site distance requirement

  • Economy → Cost/benefit ratio

  • Hydrological factor, drainage factors

Engineering survey for highway

  • Map locatⁿ(Topographic) → Reconnaissance →Preliminary → Detail locatⁿ → construction Survey

  • Map study (Topographic) → Possible alternative routes, Alignment avoiding hill, lake

  • Reconnaissance → General characteristics , No of cross drainage str, soil type, HFL, source of construction material, appx gradient

  • Preliminary survey → Physical info, To survey  various alignment, soil survey, material survey, traffic study, appx cost

  • Final location → Based on preliminary survey

  • Detailed survey → Levelling along final centre line, Temporary BM est → at 250m, at all drainage and underpass str, 

  • Realignment of highway → to improve horizontal and vertical alignment

  • Economic survey → Detail study of Agricultural and industrial products available in the area

  • Rolling starts from sides & processed to centre in Highway construction.

  • Preparation of Highway → long + cross sectⁿ require

  • Cross-sectⁿ for a highway is taken, i). Right angle to the centre line, ii). 30m apart, iii). intermediate points having abrupt change in gradient

  • Max utility system → Concept of max utility per unit length of road

  • Alignment of highways → Layout of its centre line on ground

Imp NH

  • 1 → Delhi-Ajmer

  • 1A → Jalandhar-uri

  • 3 → Agra-mumbai

  • 7 → Varanasi - kanyakumari

  • 9 → Pune-solapur-hyderabad-vijayawada

PMGSY (2000)

  • Rural road development

GEOMETRIC DESIGN

  • Proper geometric designs will help in Reductions in accident

  • Delineators → light reflecting device

  • min. width of cycle Track = 2m

Geometric design

  • Object → Efficiency of traffic operation, Safety increase at reasonable cost

  • Deals With → Vehicle dimension design, Road user characteristics, Topography, Highway classification (traffic vol), design speed, horizontal & vertical curve, Gradient, Sight distance

  • Formation/Roadway width = Carriageway width (includes median) + shoulder 

  • Roadway = carriage way + 2 x Shoulder width + separator

  • Right of way or Rd Land width = Carriageway + shoulder + road margins =  formation width + Road margin (Guard rails, footpath, cycle track, service road etc)

  • ROW → Width is Governed by → Width of formation, Height & side slope of embankment or cutting, Drainage, sight distance, horizontal curves & Reserve land for future widening

  • Carriage way → Used by vehicular traffic

  • Building line  → A line on either side of the road between which And The Road, No building activity is permitted at all 

  • Submerged kerbs → Provided on rural roads between pavement edge and shoulders, To provide lateral confinement to the base course in flexible pavement

PIEV

  • Perception → Nervous system

  • Intellection → Old memories, New thought

  • Emotion → Fear, angry

  • Volition → Acts

  • t = 2.5 sec → For SSD (90th percentile reactⁿ time), Break reaction time

  • t = 2sec → For OSD

Factor affecting Reaction time of Driver

  • Mental condition of driver

  • Nature/Type of object

  • Size of object → t ∝ 1/Size of object

  • Vehicle speed → t ∝ 1/V

  • Size/length of vehicle → t ∝ Size of vehicle

  • Distance of object → t ∝ D

  • Note acc IRC Total reacⁿ time doesn't depends on speed of Vehicle

Design Speed 

  • Urban roads → Arterial = 80 kmph, Sub-arterial = 60, Collector road = 50, Local = 30

Terrain

NH/SH (V kmph)

Radius (m)


Ruling

Min

Ruling

Min

Plain

100

80

360

230

Rolling

80

65

230

155

mountain

50

40



Steep

40

30



C/S Elements

  • Unevenness/Smoothness → Bump-indicator → in terms of Unevenness index , & also for long frictⁿ

  • Roughness index → Cumulative deformation of surface per horizontal distance

  • Drainage → Transverse drains are used when soil is relatively less Permeable

  • Catch water Drain Provided parallel to the roadway to intercept & divert the water from hill slopes.

  • Light Reflection Concrete rd have better visibility & less glare

  • White road → Good visibility in night, Cause glaring in day

  • Black road →No glaring in day but poor visibility in night

Friction

  • Slipping → θ > L, Skidding → L > θ

  • lateral f = 0.15 → Used for e

  • long. f = 0.35 → Used for SSD

  • Retardation = fg = 9.81f

  • Frictional resistance → Can't overcome by the engine of vehicle moving at certain speed 

Chamber/Cross fall

  • Rising in the middle of the road surface....

  • Slope provided in transverse direction → for effective Drainage of water

  • Recommended shape → Straight at edges and parabolic in middle (Mixed camber)

  • Shoulder chamber = Pavement camber + 0.5% steeper, should be ≥ 3%

  • On superelevation section → Shoulder camber = Pavement camber

  • Min gradient on roads → 0.5 %

  • Longitudinal gradient = 2 x Chamber G = 2C → Conditⁿ of smooth flow & necessary drainage

  • Composite Camber Straight edge & Parabolic or circular Crown, for mixed traffic conditⁿ

  • Two Straight line C → Straight edge & Flatter Crown.

  • Provision of Camber is Affected by Amount of rainfall

  • Scanty rainfall regions → Flatter camber is provided

  • Round shape is not Preferable in Chamber

  • Excess camber → Erosion of berms, unequal wear of tyre, discomfort

  • Tendency of most vehicle to run along Centre lines → Problem of toppling of bullock cart and truck (heavily loaded)

  • Street inlet for drainage of water are located → An interval of 30 - 60 m

  • min furrow grade to assure surface drainage → 0.05%

  • Ht. of Crown = ½Pavement width x Camber

Straight line chamber 

  • y = w/2n → 1/n = 2y/w

  • Cement concrete , w = width of Rd, y = crown ht, n = camber (1 in n)

Barrel or Parabolic chamber

  • A continuous curve either parabolic or elliptical

  • y = 2x²/nw

  • Bitumen & fast moving vehicle

  • Angle of inclination of the vehicles → More at edges

Range of Chamber or Minimum superelevation

  • Chamber → Earthen > Gravel > WBM > CC > High Bituminous

  • Hill rd → Heavy rainfall

Type of surface

Heavy

Light Rainfall



Cement concrete, High bituminous 

1/50

1/60

2.0 - 1.7 %

Blacktop surface straight road

Thin bituminous  

1/40

1/50 

2.5 - 2.0 %


WBM & Gravel pav 

1/33

1/40

3.0 - 2.5 %


Earthen

1/25  

1/33

4 - 3 %


impervious surface camber



1.7 - 2%


Cross-Slope

  • Plain = 0 - 10%

  • Rolling = 10 - 25 %

  • Mountain = 25 - 60%

  • Steep > 60%

  • Cross slope ↑ → Radius of curvature ↑ → Construction cost ↑

  • Design ↓ → R ↓ → Construction cost ↓

IRC Recommendations

  • IRC → All Specifications for Highway Planning & Design 

  • Std loading → Class A → in general for all permanent structure

  • Roads in rural areas → Design for 10 - 15 years

  • Ruling slope < 1 in 20

  • Maximum load of axle of a vehicle < 8170 kg

Vehicle Dimensions

  • Width ≤ 2.44m  for all vehicles 

  • Height → Single deck ≤ 3.80m, Double deck ≤ 4.75m → Define vertical clearance 

  • Length ≤ 18m 

  • Width of Vehicle → Determine pavement width, Shoulders, Parking, Traffic lanes width

  • Length of Vehicle  → Extra widening, Min radius of turning, Passing sight distance, Goverens turning path

Carriage way width (m)

  • For all type of road's

  • Pavement width → Depends only on number of lanes

  • Single lane = 3.75 m

  • Two lane, no kerbs = 7.0 m

  • Two lane raised kerbs = 7.5 m

  • intermediate carriage = 5.5 m → To give manoeuvring

  • Kerbed urban road = 5.5 m

  • Multi-Lane = 3.5m per lane

Width of Roads

  • Single lane NH or SH = 12m (plain & rolling) & 6.25m(Hill or steep)

  • min width of NH = 5.7m

  • Width of formation = 6.7 m

Absolute min width of median/Traffic separator

  • IRC → Desirable = 5m, Min = 3m

  • Urban = Absolute = 1.2m 

Shoulder 

  • Rougher than the traffic lines

  • Min width = 2.5 m

  • 2 lane rural highway ≥ 2.5m

  • Desirable = 4.6m

Footpath

  • Ht = 15 - 20cm 

  • Width = 1.5m

Stopping Sight distance/SSD/Absolute min Sight dist./Non passing Sight dist

  • Distance of sufficient length to stop the vehicle without collision 

  • SSD = lag distance + Braking dist= vt + v²/2g(f ± S%)

  • SSD = 0.278Vt + (Vi² - Vf²)/254(ηf ± S%)

  • Lag distance → Travelled during PIEV time or Reaction time

  • f = 0.35, t = 2.5sec,  η = braking efficiency, +S% = upgrade, -S% = downgrade

  • f = longitudinal coeff of frictⁿ → Measured by Bump integrator or Roughometer

  • Min SSD i) 1W1L, 2W2L, HSD → SD = SSD, ii) 2W1L, ISD → SD = 2 SSD

  • Two vehicle approaching each other → SSD = SSD1 + SSD2

  • S² = 8MR where M = Setback distance, S = SSD, R = radii 

  • for SSD → Driver eye H = 1.2m, obstruction h = 0.15m

  • for OSD → H = h = 1.2m

  • OSD > ISD > SSD

  • Recommended SSD → 30 kmph design speed  = 30 m 

Braking efficiency (η)

  • η = f'/f=(V2/254L)/f

  • Skid resistance (f') = V2/254L=v2/2gL

  • L → Length of skid mark or braking distance, f → Avg skid resistance

  • Skid resistance  = V²/127RL L = Skid marks in m

Overtaking Sight Distance/OSD/Passing Sight Distance

Overtaking zone

  • min L = 3 x OSD, Desirable = 5 x OSD

  • t = 2sec(IRC)

  • min OSD = d1 + d2 + d3

  • d1 = 0.278Vb²t

  • d2 =VbT + 2S

  • d3 = 0.278Va²T

  • T = √(4S/a) .sec

  • S = 0.7Vb + 6 (meters)

  • if not given → Vb = V - 16 Km/hr, V = design speed

  • When no vehicle from opp side (1W traffic) → OSD = d1 + d2

  • For multi road lane overtaking is permitted from both left & right side

  • at highway stretches where the required OSD can't be provided → Provide OSD > 2SSD

HORIZONTAL ALIGNMENT

  • On H curve if pavement is kept horizontal across alignment then the pressure on outer wheels > inner wheels 

  • Curve Resistance = T - Tcos

Centrifugal ratio/impact/stability factor 

  • Cr = P/W =b/2h= v²/gR = (e + f )/(1-ef)

  • V = kmph, v = m/s, R = m

  • Max CR → Highways  =  0.25 = 1/4, Railways = 0.125 = 1/8

Centrifugal force 

  • P = mv²/R 

  • To prevent Transverse or Lateral Skidding f ≥ v²/gR = P/W

  • To prevent Overturning about outer wheel → b/2h ≥ v²/gR

  • For No Sliding & No Overturning → f ≥ P/W ≥ b/2h → h = C.G. of body from surface

SUPERELEVATION/Cant/Banking

  • Transverse inclination to the pavement service  → Provide on a curve at outer edge → Rising of outer edge wrt. inner edge on horizontal curve 

  • tanθ = e = v²/gR=Rise/Road width

  • Angle of banking → =tan-1 (e)

  • e + f = V²/127R

  • e min ≥ Chamber → e ≥ C

  • f = 0.15 → lateral frictⁿ coeff

  • if No superelevation → Pressure outer > inner

  • In highway construction on Superelevated curves the rolling shall proceed from Lower edges towards the upper edges

  • Equilibrium → When f = 0 , e = e equilibrium & reaction on tyre R1 = R2

  • Along the circular curve → e = constant

  • R = 1720/D 

  • Equilibrium superelevation = e Road width

  • fast moving: f min & e max

  • Slow moving: f max & e min

  • Angle of banking: Slope on road surface

IRC Values

  • Hilly terrain not bound by snow → e < 0.10 (10% or 1 in 10)

  • Plain & rolling Terrain, hilly terrain bound by snow → e < 0.07 (7% or 1 in 15) 

  • Urban roads → e < 0.04 (4% or 1 in 25)

  • Min super-elevation for drainage purpose → e = 2 - 4%

  • Max to avoid overturning of bullock carts( slow moving vehicle) → e < 1 in 15

Rotating the pavement 

  • About the inner edge → leads to no drainage problems as well as the centre of the pavement is raised resulting in altered vertical alignment

  • About centre line → Vertical profile remains & advantage in balancing the earth work 

Ruling Radius of Horizontal Curve

  • min possible radius of the circular curve on which a vehicle moving at design speed can pass the curve safely

  • Min R = Ruling R = V²/127(e+f)

For mixed traffic condⁿ/Design/maximum/Required

  • e + f = V²/225R → V ↓es by 25%

  • Camber = V²/225R → No superelevation require

Extra Widening

  • Provided at beginning of Curve

  • We = Mechanical + Psychological widening = nL²/2R + v/2.64√R

  • We = nL²/2R + V/9.5√R

  • R < 50m → inner side widening

  • R = 50 - 300m → Both edge widening

  • R > 300m → No extra widening

  • No extra widening → R > 150m for hill roads (IRC)

  • Full amount of We (m + p) → Beginning of the circular curve

  • We in hairpin bend for two lane carriageways = 1.5 m

Off-Tracking 

  • Ot = nL²/2R

  • Rear wheels don't follow the same path as that of front wheels this phenomenon is called off Tracking.

Horizontal Transition Curve (Easement curve)

  • Alignment from straight to Circular Curve → Gradual change of Super elevation

  • Purpose → To provide gradually counteract centrifugal force & avoid sudden uncomfortable Condⁿ, Avoid Overturning, provide comfort, avoid sudden jerk by introducing centrifugal force, gradual introduction of superelevation & extra widening, aesthetic appearance to road.

  • Radii → ∞ at straight end & desired R at point of tangency 

  • at straight edge curvature = 1/R = 1/ ∞ = 0

  • Full amount of super elevation is provided → At the end of Transition curve

  • Max rate of change of radial acceleration = 300 mm/sec³

  • IRC → ideal Transition curve → Spiral or Clothoid (L ∝ 1/R)

  • Hills → Spiral, Railway → Cubic parabola

Bernoulli's Lemniscate 

  • Special type of transition curve → Rate of increase of curvature increases towards the circular curve 

  • Used when deflection is very large

  • Objectionable in Railway but allowed on highway

Transition curve formula

  • Shift = L²/24R → Perpendicular offset from a tangent to the junction of a transition curve and circular curve 

  • Offset = x³/6RL 

  • Equation of Clothoid or Cubic Spiral Curve → y = x³/6RL

  • 1st tangent length of combined curve (R+S)tan(/2)+L/2

  • Angle of deflection = Spiral angle/3

  • Lemniscates curve eqn → r=P/3sin2

Length of Transition curve

i.Passenger comfort ( acc to e)

  • Plain & Rolling terrain Ls = 2.7V²/R

  • Steep & hilly terrainLs = V²/R

ii. Rate of change of Centrifugal acceleration (driver's comfort criteria)

  • Ls = v³/CR → v in m/s

  • Ls = 0.0215V³/CR → V in kmph

  • C = 80/(75+V)≈ 0.5 - 0.8 m/sec³

iii.Method of introduction of super elevation (e)

  • Rotation About inner edges L = N.e.(W+We)

  • Rotation About centre → L = ½. N.e.(W+We)

  • e → Super elevation , W → Road width (1 m), N = rate of change of superelevation if 1/100 → N = 100, We → Widening

Grade compensation 

  • Reduction in gradient at horizontal curve, which is intended to offset the extra tractive effort at curve 

  • GC = min of  (30 + R)/R % or (75/R) %

  • Compensated Grade → CG = (G - GC) 4%

  • No compensation → if G is flatter than 4% (or < 4%)

VERTICAL ALIGNMENT

  • VA when gradient ≥ 4mm/1m

  • VA are provided at change of Gradient → To join different grades

  • Rate of change of Gradient = d²y/dx²

  • Parabolic Curve → y = ax² + b

  • Vertical curve designated → By radius of curve, minimum sight distance, change of gradient 

  • Desirable slope for highway embankment → 1 in 3

  • Minimum skid resistance number (SN) = 50 → for indian roads to have a level 1 serviceability indicator

Gradient

  • Rate of rise or fall of road surface along its length/alignment wrt Horizontal

  • Exceptional > limiting > Ruling > minimum

  • Floating gradient → Vehicle doesn't require Tractive effort to maintain Specific Speed

  • Ruling/Design G → Use in Design of vertical profile of road, Engine can haul max load

  • Exceptional G → Unavoidable situation, limited to 100m stretch in a single run

  • Limiting G → Provided when Ruling G is Very costly due to cutting & filling

Terrain 

Ruling G

Limiting 

Exceptional 

Plain/Rolling

Hilly

Steep

3.3 % (1 in 30)

5.0 (1 in 20)

6.0 (1 in 16.7)

5.0 %

6.0

7.0

6.7 %

7.0

8.0

Min Gradient considered with drainage point of view:(IRC)

  • Cement road = 1 in 500

  • Earthen road = 1 in 200 → Open soil drains

  • Bitumen road = 1 in 250

Length of vertical curve

  • L=(g1-g2)l/r=Total grade x chain length /Grade change per chain length

  • Transition length = ( g1-g2)S2/800h   → s = sight distance, h = Apex height

Summit Curve

  • ideal summit curve is Circular → But generally Parabolic curve are used as Summit curve

  • Design governed by Stopping Sight distance

  • 2W2L → Length depends upon SSD

  • Parabolic summit curve → Min radius = L/N

SSD given

  • h1 = 1.2 m, h2 = 0.15 m 

  • L ≥ SSD → L = NS²/4.4=NS2/2(h1+h2)2

  • L < SSD → L = 2S - 4.4/N=2S-2(h1+h2 )2/N

  • N = |n1 - n2| → ex = 5 - 4% = 1% = 1/100

OSD/ISD given

  • h1 = 1.2 m = h2

  • L ≥ OSD/ISD → L = NS²/9.6

  • L < OSD/ISD  → L = 2S - 9.6/N

Valley/Sag Curve

  • Design governed by Comfort Criteria & Safety criteria (Head light criteria)

  • Generally parabolic (froude's) curve is preferred

  • Changes alignment of road from downhill (descending gradient) to uphill (ascending gradient)

  • Minimum stoppage distance Assuming → Headlight = 0.75 m and beam tilted at an upward direction = 1 degree

Length of valley curve

  • L → max of comfort & safety criteria

  • For night travel, For min length → Head-light distance = SSD

Comfort criteria

  • Impact free movement → no jerk

  • L = 2 NV³/C = 2Ls

Safety Criteria


Taxiway

  • max long. grade = 3%

  • Permissible rate of change of grade = 1%

  • Transverse grade = 1.5%

TRAFFIC ENGINEERING

  • Traffic Census → Traffic survey for collecting traffic data

  • Rumble strip/Sleeper lines/Alert strips → Reduce the speed on the roads

  • Urban areas when cycle traffic is high → Cycle track = 2.0 m

  • Minimum value of 15 minute peak hour factor on section of road = 0.25

  • Maximum value of 15 minute peak hour factor = 1.0

  • Speed and Volume studies → Set of traffic studies needed for functional design as well as for highway capacity design

  • Design Reference flow (DRF) → Hourly flow rate

Traffic vol Study

  • Manual → By watch

  • Photography, videography → By video

  • Automatic countries-cum-classifiers → Not classify and record vehicle type

Mechanical methods for Traffic vol count

  • Pneumatic tube → Automatic, no of axles, No. of vehicle , traffic volume 

  • Loop Detector

  • Magnetic detector

  • Multiple pen recorder → Combination of manual and mechanical

Presentation of Traffic Vol Data

  • Average Daily Traffic (ADT) No of vehicle/day → Day = 7 to 365

  • Annual average daily traffic (AADT) (No of vehicle /365) at a specific point → Avg daily traffic recorded for 365 days

  • 30th highest hourly Vol → Used for road design, ADT exceed 29 times a year

  • 30th highest hourly Vol = 8 - 10 % of AADT

  • Daily expansion factor = Avg total vol for a week / avg vol for a particular day

  • Avg Daily Traffic = Traffic Vol count x DF x SF where 

  • DF = Daily Factor & SF = Seasonal Factor

  • Avg future flow = ADT(1 + r/100)n

Spot speed

  • instantaneous speed at a specific location 

  • measured → Pressure contact tubes, Enoscope, Loof deflector & Doppler radar

Time mean speed (Vt)

  • Avg speed = Vt = ΣVi / n   Arithmetic mean

  • Avg of all vehicles passing a point over a duration of time → Average of spot speed

Space mean Speed (Vs)

  • Vs = n/ Σ(1/Vi)   → Harmonic mean

  • Avg speed of  vehicles on a certain road length at any time

  • Use → Traffic flow study

  • Vt > Vs → Arithmetic > Harmonic mean

Spot speed data Presentation

  • 15th percentile speed → Lower safe speed

  • 85th percentile speed → Highest Safe speed

  • 98th percentile speed → Geometric Design speed

  • Model Speed → At which max vehicle running = 47 km/hr generally

Speed & Delay Studies Methods

  • Floating car/Riding check method → For 2 lane traffic, 4 observer require

  • Elevated observation

  • interview techniques

  • Licence plate method

  • Photographic techniques

Origin & Destination Studies

  • Use planning new highway & improving new existing services, locating major routes in city

  • Use in planning MRTS (Mass Rapid Transit System)

  • Desire line → Direct line connecting Origin & Destination point

Method O & D

  • Roadside interview method

  • Home interview method

  • Return postcard method

  • Tag on Car method

  • Licence plate method

  • Work spot interview method

Traffic Capacity study

  • Traffic Density (k) → Vehicle/km

  • Traffic Vol (q) → Vehicle/day or Vehicle/day

  • Traffic vol = traffic densitytraffic speed q=kV

  • Basic C → Theoretical capacity for ideal roadways & traffic conditions

  • Possible C → Under prevailing condⁿ

  • Practical or Design C → Zero to basic C, without creating unreasonable delay

  • Capacity of four-lane divided rural highway = 30,000 PCU

  • Level of services → 6 from A to F

  • Required number of lanes → Depends on Predicted traffic volume and design volume

Max Theoretical Capacity (C)/Traffic vol

  • Max Vol in the most ideal conditⁿ

  • C = 1000V/S = 3600/Ht 

  • S = avg c/c spacing of vehicle or distance/space headway

  • S = 0.2V + L → L = 6m, V = Kph

  • S = Sg + L → Sg = 0.278Vt 

  • Space headway ∝ V, t

  • V= kmph, Ht = sec, S = meter(min space headway)

Relatⁿ b/w V,k,q (by Green-Shield)

  • U = A - Bk → Usf = A, kj = A/B

  • Density at max flow → V = dq/dk = 0 & k = kj/2

  • Speed at max flow → K = dq/dv = 0 & Vs = Vf/2

  • Traffic Vol. → qmax = Vf Kj / 4 

  • Kj = 1000/S → S = Space headway

  • max flow = Capacity Flow

  • Vehicle not moving → K = max & q = 0

PSU (Passenger car unit) Equivalency factor 

  • Motorcycle, Scooter, Pedal cycle = 0.5

  • Three-wheeler = 0.75

  • Passenger car, Tempo, Auto-rickshaw = 1

  • Cycle rickshaw = 1.5

  • Bus, Truck, Tractor trailer = 3

  • Horse drawn vehicle = 4

  • Small bullock cart = 6

  • Large bullock cart = 8

Capacity of Road in rural areas

Daily traffic load per lane

  • Village road → up to 200 tonne/day

  • WBM → 500 tonne/day

  • Bitumen macadam -> 1500

  • Concrete → 2000

PARKING STUDY

  • Parking survey → Video tap

  • Peripheral parking → Kiss and ride 

  • Traffic census is carried out to study → Road parking

  • Parking lane → Urban roads

Angle Parking

  • Least → 30° → N = (L - 0.85)/5.1 

  • Best → 45° → N = (L-2)/3.6 

  • 60° → N = (L-2)/2.9

  • Max vehicle → 90° → N = L/2.5 

Parallel parking 

  • Min Width = 3m

  • Equal spacing → N = L/6.6

  • 2 car placed close → N = L/6.75

ACCIDENT STUDY

  • Collision diagram → Appx path of vehicle & pedestrian involved in accident, determine remedial measure

  • Condition diagrams → Shows all important physical conditions of an accident location like roadway limits, bridges, trees and all detail of roadway condition 

  • 3E → Engineering, Enforcement, Education → To decrease accident rate 

TRAFFIC CONTROL & REGULATIONS

  • Passive control → Less traffic vol, Road user has to follow rules, sign, marking, giveaway

  • Active control → Forced to follow path suggested by traffic agency, Signal, Grade separated intersection

  • Sem-control → Rotary, channelisation, driver gently guided to avoid conflict

  • Traffic island → Divisional island, Channelising island, Pedestrian loading, Rotary

  • Recommended entry angle for roundabout junction → 10 -60

  • Circular central island → Two equally imp roads cross roughly at right angles

  • Priority intersection → Traffic control on minor road by STOP or GIVEWAY signs and marking

Traffic Growth

  • Generated Traffic growth → ↑es in traffic due to ↑es in transport Vehicles

  • Normal Traffic growth → Traffic on new roads, general increase in number of transport vehicles from year to year

Road Intersection or at Grade junction

  • It is an area where two or more roads converge, diverge, meet or join or cross.

  • Conflict points are reduced to bare minimum & delays are minimised

No. of Potential Conflict

  • Both 1W = 6 → 4 major + 2 minor

  • One 2W, Other 1W = 11 → 7 major + 4 minor

  • Both 2W = 24 → 16 major + 8 minor

  • Minor conflicts→ Merging and diverging

  • Total conflicts = Vehicular/potential conflicts + Pedestal conflicts

  • Pedestal → Both 2W = 8

Types of intersection

  • At Grade intersection(Traffic islands,Rotary) → Road meets about same level, allow traffic manoeuvre like - Diverging, merging, crossing, weaving

  • Grade Separated intersections(interchange) → Permits cross flow of traffic at level without interruption Ex. crossing two highways, Overpass, Underpass

Basic requirements of the intersection at grade

  • Good lightning at night is desirable

  • Sudden change of path should be avoided

  • Geometric features should be adequately provided

  • Rotaries are self-governing and do not need practically any control by police or traffic signals

Ramp

  • Direct interchange ramp → Diverging to right and merging from the right

  • Semi-direct interchange ramp → Diverging to left and merging from the right

  • Indirect ramp → Diverging to left and merging from the left

Guidelines for Rotatries Selection

  • Rotary is useful when no of roads intersect at the interchange & sufficient Land is available

  • Upper limit = 3000 vehicle/hr 

  • Lower limit = 500 vehicle/hr

  • Suitable when no of approaching roads > 4 

  • Right turning traffic > 30 %

  • Operation → Diverging, merging, weaving(merging + diverging)

Design Element of Rotaries

  • Design speed at rotaries → Urban areas = 30 kmph, Rural = 40 kmph

  • Rentry <Rcentral island <Rexit R=V2/125f → No superelevation

  • Width of weaving = 1/2 of (entry + exit width) + 3.5

  • Min weaving length → Rural = 45m, Urban = 30m 

  • Width of carriageway at entry and exit > 5 m

  • idealise entry angle = 60, Exit angle = 30

  • Weaving ratio(P) = Crossing traffic / Total traffic

  • Q (PCU/hr)=280W(1+e/W)(1-P/3) / (1+W/L)

  • E → entry width, W → width of weaving section, L → length of weaving section, 

Road Sign 

  • FOG → Yellow light

1. Mandatory/Prohibitory/Regulatory 

  • Laws ,legal offence → Circular, White background & Red border, except Stop & Give way sign

  • Diameter = 60 cm, ht = 2.8m

  • Exception → Stop → Octogonal & Give Way → inverted Triangular

  • ex. Speed limit, Dead slow, No parking, End of speed limit, One way

  • Speed limit sign on NH and SH should be placed 120 m ahead from the distance where actually speed limit start 

2. informatry/Guide 

  • For info & guidance 

  • Rectangular , Green background & 

  • ex. directⁿ sign

3. Warning/Cautionary 

  • Hazardous condtⁿ

  • Upward triangular or Diamond shape → Red borders & white background

  • L = 45cm

KM Milestone

  • NH → Yellow & white

  • SH → Green & white

  • City/MDR →Blue/Black & white

  • Village Rd → Orange & white

Traffic Signal 

  • Well designated signalised intersection is one which the Total delay is minimised 

  • Flexible progressive system → Most efficient, Best, Most suitable for mixed traffic conditions, it is possible to vary the length of cycle, cycle division, and time schedule at each signal point

  • Simultaneous system → Does not give continuous movement

  • Simple progressive system

  • Alternate system

Signal design methods

  • Minimum green time required = 16 sec

1. Trial Cycle method

  • Green period =2.5n1C1/900

2. Approximate method

3. Webster's method

  • Most rotational method

  • Optimum cycle time (Sec)Co = (1.5L + 5)/(1 - Y)

  • Total lost timeL = 2n + R    →  R = all red time, n = no of phase, Y = sum of ratio of Normal & Saturation flow

  • Y =  Σyi = Σ (qi/Si)   →  qi = normal flow, Si = saturation flow

  • Eff green time Gi = yi(Co-1)/y

  • Saturation flow → S = 525 W   (PCU/hr), W = carriageway width(m)

4. IRC method

  •  irc is a appx method where optimum cycle time is checked by Webster's method 

  • Pedestrian Green time required for major & minor roads are calculated based on walking speed of 1.2 m/s.

Road lights

  • Avg illumination → Imp roads = 30 lux, secondary road = 4-8 lux

  • Spacing of light poles = Utility coeff x FOS x lamp lumen / Avg lux x Road width

  • Minimum vertical clearance for electric power line up to 650 volts = 6 m

Road marking

  • Road or traffic markings are made of lines, patterns, words, symbols or reflectors

  • Broken longitudinal lines → May cross

  • Solid longitudinal lines → Not to cross Except entry, exit, side road or to avoid stationary object

  • Double solid line → indicates max restrictions, only in emergency we can cross

  • Material → binder, glass beads, titanium dioxide

Classification of marking

i. Carriageway markings

  • Longitudinal marking such as centre line, traffic lanes, pedestrian crossing, border or edge lines. Bus lanes etc

  • No-overtaking zones, No-parking zones, warning lines .etc

ii. Marking at intersections

  • Stop lines, direction arrows, give way, marking on approaches to intersections, speed change lanes.

iii. Marking at hazardous location

  • Obstruction approaches, carriageway width transition, road-rail level crossings, check barriers.

iv. Marking for parking

  • Parking space limits, parking restrictions, bus stops

v. Word messages

  • Stop, slow, bus, keep clear, right turn only, exit only 

vi. Object markings

  • Kerb marking, edges islands, objects within the carriageway, objects adjacent to the carriageway

HIGHWAY MATERIAL

  • Pavement Materials → Soil, Aggregate, Bitumen

SOIL

  • Granular soil → Most suitable material for Highway embankment

  • Subgrade soil → Stability, good drainage, ese of compaction

California Bearing Ratio (CBR)

  • Go to flexible pavement for more details

Plate Bearing Test

  • Support capability(K) of Soil or supporting power of subgrade

  • Both flexible & rigid footing

  • Plate dia = 75cm →  Standard size of plate

  • K = P/0.125 kg/cm³ → Modulus of subgrade reactⁿ

  • K1 a1 = K2 a2 a1 = 75cm

AGGREGATE

IS 2386 

  • Part i: Shape factor, particle size, flakiness & elongation index.

  • Part ii: Deleterious material & organic impurities

  • Part iii: G, porosity, water absorption

  • Part iv: Crushing strength & Toughness

  • Part vi: Hardness & Durability

Test

Machine

Base Course

Surface course

Abrasion (Hardness)

Los Angeles

≤ 50%

≤ 30%

Crushing

UTH

≤ 45%

≤ 30%

Impact

ITM

≤ 30%

Bitumen ≤ 40% 

WBM ≤ 35% 

Airport runway ≤ 30% 

≤ 30%

Building C. ≤ 45%

i. Crushing Test

  • Strength, Resistance against gradually applied load

  • Coarse aggregate → Passing 12.5 mm and retained on 10mm IS sieve

  • Crushed agg → Pass 2.36mm Sieve

  • Crushing value = 30 - 45 %

ii. Abrasion test

  • Hardness of aggregate

  • Road work → Coeff of Hardness > 17

  • Methods → Deval abrasion test, Dorry abrasion test, Los Angeles abrasion test

  • Attrition → Mutual rubbing & Grinding under traffic load

  • Abrasion → Rubbing b/w aggregate & traffic

  • Coeff of H = 20 - ∆W(gm)/3

Los Angeles abrasion test 

  • 6 - 12 cast iron balls of dia = 48mm & wt = 340-445gm

  • Sieve use = 1.7mm 

  • Speed of drum increases → Abrasion value increases

iii.Impact Test  

  • Toughness → Resistance against Sudden load

  • Champy test is a impact test

  • Due to dynamic load

  • 15 blows, hammer = 13.5 - 14 kg & ht. = 38cm

  • Sieve = 2.36mm

 iv. Soundness or Durability Test

  • Resistance against Weathering (durability)

  • Use of sodium sulphate & magnesium sulphate

  • Soundness index → Na2SO4 ≤ 12 %, mgSO4 ≤ 18% 

v. Shape Test

  • Flakiness → Least dim < 0.6(3/5) x mean dim

  • Elongation → Length > 1.8(9/8) x mean dimension

  • F.I. = Flaky particle/Total Sample ≤ 15% 

  • E.I. = Elongated particle/Total Sample ≤ 15%

vi. Angularity No 

  • Degree of packing → % of void after proper compaction

  • A no. = 0 - 11

  • Higher no means more angular agg & less workability

vii. Specific Gravity

  • G = 2.6 - 2.9

viii. Water absorption  

  • WA ≤ 0.6%

  • Oven drying temperature = 100 - 110 °C, For 24 ± 0.5 hours

ix. Bitumen adhesion Test

  • Gives a stripping value of agg @ 40°C

Stripping value of agg

  • Road aggregates ≤ 5%

  • Bituminous road constⁿ ≤ 25%

  • Max value suggested by IRC = 10% → For agg used in open graded premix carpet

BITUMEN

  • Grade of Bitumen → By Viscosity & Penetration Test

  • Cracked Bitumen → Spot test and Solubility test

  • BIS bitumen grade → A/B   where : A = softening & B = penetration point

  • Bitumen carpet thickness = 50 - 75 mm

  • Minimum elastic recovery for crumb rubber modified bitumen = 50%

  • Should be homogeneous and shall not foam when → Heated to 175℃

Test for Bitumen

  • Max water content < 0.2 % by weight

i. Viscosity

  • Viscometer test → Consistency and flow resistance

  • VG 10 → Suitable for 7 day max avg air temp of 15°C, VG stand for viscosity grading

  • Use of VG10 - spraying application's, mfd of bitumen emulsion

  • VG 30 → min penetration = 45 @ 25 ℃

  • Order of viscosity → Seal coat > Tack coat > Prime coat

ii. Pycnometer

  • Specific Gravity (G)

  • Bitumen= 0.97 - 1.0

  • Tar = 1.1 - 1.25

  • Mix bitumen = 1.09

iii.Penetration Test: 

  • Grade of Bitumen → Hardness or Softness of Bitumen)

  • Penetrometer → consist of needle assembly with total weight = 100 gm 

  •  Unit = 1/10 mm

  •  Grade 80/100 means penetration = 8 - 100mm

  • More penetration → Less Hardness

  • No penetration test for Tar as it is softer than bitumen

  • Airport runway = Grade 30/40

  • Hot Climate = 30/40, Cold Climate = 80/100

 iv. Ring & Ball test 

  • Softening Point @ Temp

  • Range = 35°C - 70°C 

  • Dia = 0.95cm

  • Softening point > 40 → if max Temp = 40°

v. Briquette

  • Ductility → Adhesion & elasticity of bitumen

  • at 27°C @ 50mm/min 

  • expressed as distance

  • Range = 50 - 100 cm

  • acc to ISI min Ductility value = 75 cm for 45 & above.

  • Ductility → Tar > Bitumen 

vi. Solubility test 

  • With trichloroethylene, Purity of bitumen

vii. Float Test

  • Consistency of Bitumen

viii. Pensky marten's apparatus

  • Flash & fire point → To know the safe mixing and application temperature values of particular bitumen grade

  • Min flash point = 175℃

Bituminous/Asphaltic concrete mix 

  • Coarse agg + Fine agg + Filler + Bitumen

  • Advantage → Durability, imperviousness, load spreading properly, Good skid resistance, Quickly openable to traffic

  • Considered to be the highest quality construction in the group of black-top roads

Bitumen Emulsion

  • A liquid containing bitumen in suspension

  • Use → for Cold Mix, Soil stabilisation desert, Patchup work, Wet/rainy weather

  • a paint used as a anti-corrosive paint

  • Bitumen/Tar content = 40-60%

  • Emulsion → 2 Phase system consist of Two immiscible liquid

Types of Bitumen

i. Plastic Bitumen

  • Bitumen + thinner + suitable inert filler

  • Used for filling cracks in masonry structures, stopping leakage.

ii. Residual Bitumen

  • Obtained as a residue during the distillation of high resin petroleum which is a solid substance at normal temperature

iii. Straight run Bitumen

  • The bitumen is distilled to a definite viscosity or penetration without further treatment.

iv. Cut back Bitumen

  • Viscosity ↓es by adding volatile diluents & ↑es fluidity of bitumen, 

  • Solvent used → Kerosene, gasoline, Naphtha

  • Recommended → for wet & Cold Climate

  • Used in Road construction & Soil Stabilization.

Types of cutback

i. Slow Curin (SC)

  • high boiling point gas oil

ii. Medium Curing (MC): 

  • Kerosene or high diesel oil

iii. Rapid Curing (RC): 

  • Naphtha, Gasoline, Petroleum 

  • Penetration value = 80/120

  • RT-1 → Exceptionally cold weather

  • RT-4 → Premix in macadam

  • RT-5 → Grouting , has highest viscosity

  • MC-2 thicker then MC-1 → But RC-5 & SC-5 will have the same viscosity

Bitumen

Tar

⇒ petroleum product

⇒black to brown colour 

⇒free carbon content is less

⇒More resistance to weathering action

⇒soluble in CS2 & CCL4

⇒ by product of wood or coal

⇒brown colour

⇒free carbon content is more

⇒less resistance to weathering action 

⇒Heavier than bitumen 

Asphalt

  • Black or brownish black in colour

i. Refined Asphalt: 

  • Bitumen, inorganic & organic matter → 52%, 38% & 10%

ii. Mastic Asphalt 

  • bitumen= 7 - 10 %, it is durable, Damp proof, non inflammable, non absorbent & noiseless

  • Limestone dust filler material used

iii. Cutback Asphalt

  • Asphalt = 80% 

Pavement Mix Design methods

  • Marshall, Hveem, Hubbard field method & Smith Triaxial method

i. Marshal method

  • Design of → Bituminous penetration macadam

  • Stability Max load(Kg) carried by specimen (t = 63.5mm, 1200gm) at loading @ 50.8mm/minutes, at 60 ± 1 °C.

  • Flow 0.25 mm unit, Deformation = 6mm than flow value = 24 units ( 24 x 0.25 = 6)

  • Marshall stability for DBM mix → 1050 kg

  • Bitumen content → Max unit wt, desirable air void and minimum flow

Test

Value

Stability

Flow value (0.25mm unit)

% air voids

VFB (Vol filled by Bitumen)

340 kg

8 - 16 units

3 - 5 %

75 - 85 %

  • Theoretical G → Gt= 100/(W1/G1+W2/G2+W3/G3+W4/G4)

  • Bulk G → Gm=W / V.w=Wmould / Vmouldw

  • % Air voids → Vv=(Gt-Gm)/Gt

  • Bitumen Vol  → Vb=Wb.Gm / Gb

  • Voids in mineral Aggregate → VMA=Vv+Vb

  • Voids filled with bitumen → VFB=Vb/VMA

PAVEMENT DESIGN

  • Pavement → Load bearing & distⁿ component

  • Wet mix macadam → used for Sub base and base course

  • Geosynthetics Separation, reinforcement, drainage and filtration in pavement construction

  • Roughness index of roads → Expressed as cumulative deformation of surface per horizontal distance

  • Max legal axle load for highway = 8170 kg

Design Life (IRC)

  • Flexible Pav → NH, SH, Urban Rd = 20 yr, Other Roads= 15 yr

  • Rigid Pav (Concrete)  > 20 yr all type of road

  • Major Roads > 20 yr

Daily traffic vol

  • Concrete pav > 1000 ton

  • WBM < 2000 ton

Types of pavement

  • On the basis of Wearing course → Classified as Rigid or flexible pavement

  • Semi-rigid → Lean concrete base

  • Composite → Uses both Asphalt & Concrete

  • Whisper concrete → To provide skid resistance and reduce noise level of road

Flexible Pavement

Rigid Pavement

→ Compressive stress by grain to grain transfer

→ load carrying capacity by Load distⁿ property & not by flexure or Bending strength

→ 4 layer

→ Design for 15 years

Failure: Fatigue, Cracking, rutting

→ Bituminous Concrete is best layer material

ex. WBM, Bituminous Concrete

→ Load transfer by Slab actⁿ to direct subgrade

→ Strength depends on Flexure strength or beam action of slab

→ 3 layers

Failure: fatigue, cracking, Pumping

→ made of Portland Cement Concrete

→ Use. Black cotton soil

→ Made up of portland cement concrete, RCC

  • Soil Subgrade → Top of ground on which Foundation of Road or pavement structure Rests, Top 50cm should be compacted at OMC

  • Sub Base → Drainage, High level deformation

  • Base course NH and SH = 250 mm

  • Wearing course

  • Strength, Stability and bearing power of highway depends on subgrade

  • For modern road subgrade shall be consolidated and compacted with a camber of → 1V : 50H

  • Fog seal → Used in a regular pavement maintenance activity

  • GSB → On NH as sub-base and drainage layer

WBM

  • WBM construction → Spreading coarse agg → Dry rolling → Application of filler → Wet rolling → Application of Screening

  • WBM Stability → Agg interlocking, Particle friction and cohesion

  • Binding material in WBM → Stone dust, Crushed aggregate dust

  • Volume Agg Require = 1.2xLBT

Hill Road

  • Landslide is common problem in hill road

  • Cath water drain → Provided parallel to loading the intercept and divert the water from hill slopes

  • Horizontal alignment → Cost of right of way → in mountainous country

  • Widening → on the inner side

  • e= V²/225R

  • Design speed → NH, SH = 50kmph, Hair pin bend = 20 kmph

  • Min sight distance = SSD

  • Transition curve → Spiral

Structure in hill road

  • Breast wall → Earth to retain from slipping, stability of excavated portion of hillside

  • Retaining wall → Need to retain fill portion of highway cross section

  • Check wall → Small retaining str, constructed in series on sloping hill face to check slides

  • Gabion wall → Breast/retaining/check wall constructed with dry stone masonry encased in wire mesh

  • Parapet wall Give protection, psychology and physically while travelling on roads with steep valley slope

Rigidity Factor

  • RF = CP/TP = 0.7/TP 

  • 1 Mpa =1 N/mm²

TP

RF

< 0.7 Mpa

> 1

= 0.7 Mpa

= 1

> 0.7 Mpa

< 1

  • High pressure Tyre → Tyre in tension & TP > CP

  • TP → Upper layer, CP → Bottom layers

  • Tyre pressure influences the quality of surface course

  • Commercial Vehicles → Gross load > 3 ton

Equivalent single wheel load (ESWL)

  • at d/2 → P, at 2S → 2P

  • in case of airport design, we can consider this design

  • S = centre to centre distance, d = clear distance

  • Log P' = LogP + X

  • X = (logZ - log(d/2))  x tanθ

  • Tanθ = slope = (log2P - logP) / [log2S - log(d/2)]

  • Log P' = LogP +{ (log2P - logP) / [log2S - log(d/2)]} x [logZ - log(d/2)]

  • Equivalent axle load factor (EALF) = (axle load / standard axle load)⁴

  • P1N1 = P2N2, where P = load & N = repetition.

Equivalent axle load factor (EALF)

  • Used in highway design

  • EALF=(axle load/std. axle load)4 → Fourth power law

  • Std. axle load = 80 kN

Vehicle damage factor (VDF) 

  • VDF=eq no of std axle/No of vehicle → Number of standard axles per commercial vehicle 

  • used in CBR method

Pavement Evaluation

  • Structural evaluation → Plate bearing test, Benkel Beam method

  • Pavement surface condition evaluation → Bump indicator(unevenness index), Roughometer(Profilometer)

  • Overlay thickness → CBR method and Benkel beam deflection method

Benkleman beam method

  • Overlay design by deflection technique, Flexible over flexible pavement/overlay 

  • Evaluation of structural capacity of existing flexible pavement

  • Measure → Deflection of flexible pavement under moving loads

  • Large rebound deflection → Weak pavement → Needmore overlay thickness

  • Overlay thickness → Equivalent to granular material of WBM layer

  • hmm=550log(Dc/Da)

 FLEXIBLE PAVEMENT (IRC-37)

  • Flexible Pavement generally doesn't have any stress due to changes in Temperature

  • Benkelman beam deflection method → Flexibility overlay on flexible pavement

Methods of design

1. Empirical methods

  • Commonly used → for physical properties & strength parameters

  • min base t = 10cm

  • GI,CBR, Stabilimeter, Mc-Leod method

2. Semi - Empirical/ semi theoretical

  • Based on stress-strain function

  • Triaxial test

3. Theoretical methods (Burmister Method)

  • Based on mathematical computation

Group index Method

  • An empirical method based on physical properties of sub-grade soil

  • Based on → Plasticity index, Liquid limit, % finner passing 75μ sieve

  • GI = 0.2a + 0.005ac + 0.001bd

  • GI = 0 - 20 

  • Good subgrade soil = 0 - 1, Fair = 2 - 4, Poor = 5 - 9, Very Poor 10 - 20

  • Surface course and base course thickness → Function of GI and traffic

  • Sub Base thickness → Function of GI → Total - base course - surface course thickness

  • Limitation → Does not considered quality of material used in pavement, Same thickness for poor & good quality material

CBR : California bearing Ratio 

  • More accurate

  • It is a Laboratory test and Penetration test → Represent Strength, Stability of soil subgrade & Base course material or Pavement materials

  • Best because → Specification of road material is given

  • Empirical test, it is not the true representation of Resilient modulus

  • Surcharge weights are used to stimulate the effect of overlaying pavement

  • Cylindrical Mould → 150 x 175 mm, Collar = 50 mm, Rate of 1.25mm/minutes

  • CBR = load carried by specimen/load carried by standard specimen

  • CBR2.5 mm = P(kg)/1370=(kg/cm2)/70

  • CBR5.0 mm = P(kg)/2055=(kg/cm2)/105

  • CBR → Highest of above

  • CBR at 2.5 mm  > CBR at 5.0 mm → Adopt CBR at 2.5mm

  • CBR at 2.5 mm  < CBR at 5.0 mm → Repeat the test if identical result follows than → Adopt CBR at 5.0 mm

  • Greater  CBR → Good material/soil strength or good pavement material

  • Thickness of payment will be maximum → Soil with CBR = 4% 

  • Tcm=1.75P/CBR%-A/   → CBR < 12 %, A =a2=P/pressure=P/p  

  • Load Parameter → Cumulative standard axles in msa

  • Limitation → Gives the total thickness which remains the same irrespective of the quality of material used in the component layers

Recommendation for CBR (IRC 37)

  • In Situ test not suggested for design

  • involves specification of the road material

  • Avg of 3 test specimens at same moisture content and same proctor density

  •  4 days soaked → Remoulded sample is used → in dry zone (rain < 50 cm) not soaked

  • If variation > Permissible limit → Take 6 samples

  • CBR% and Permissible limit → 0-10 = 3%, 10-30 = 5%, 30-60 = 10%

  • the top 50 cm of subgrade should be compacted at least up to 95 - 100% of proctor density

  • Soil/sample should be compacted at OMC to get Proctor Density

  • No of heavy vehicle for design → A=P(1+r)n+10

MC-Leod method

  • From plate load test

  • Tcm=K.log(P/S)

California resistance value method

  • Tcm=K(TI)(90-R) / C1/5

  • TI=1.35(EWL)0.11, K=0.166

  • Stabilometer → R value, Cohesionmeter → C value

Triaxial method

  • Tcm=(3PXY/2Es)2-a2 

  • Single layer elastic theory → Tcm=(3P/2Es)2-a2 

  • Tyre pressure →  p = P/a2=P/A

  • Design deflection → =0.25 cm

IRC method of design (IRC 37)

  • msa=365[(1+r)n-1]DAF /r

  • r = 5% as per IRC

Burminster method (Layered system)

  • Based on 2 elastic theory

  • Displacement factor depends on → Ratio of modulus of elasticity of pavement and subgrade layers

  • ∆ = 1.5Pa/E → Flexible

  • ∆ = 1.18Pa/E → Rigid

  • 1.5/1.18 = 1.27, 1.18/1.5 = 0.78

  • P → kg/m² → tyre pressure (contact pressure)

  • a → cm → √(Wheel load / Pπ) 

Coats in flexible pavement

  • First coat of surface dressing → Bitumen = 14kg/10m²

  • Prime coat → Adhesion b/w binder course and wearing course

  • Tack coat → Ensure bond b/w old and new construction, Over existing bitumen layer, bitumen @0.5kg/m²

  • Seal coat

RIGID PAVEMENT (IRC 38 : 2012)

  • Min grade for RCC highway → M40

  • Design by Elastic theory

  • Slab width = 3.5 - 3.75 meters

  • Reinforcement → Single layer at the middle → in the form of welded wire mesh

  • Flexural strength of concrete is used in design of plain jointed cc pavement

  • Use of Reinforcement → To ↓es Cracks, ↓es thickness & no of contractⁿ joint

  • CC roads are not preferred → High initial cost

  • Depth of reinforcement below the surface of a concrete pavement = 5 cm

  • Flexural stressload/Flexural strengthconcrete=0.45 → Allowable number of repetitions of axle load = 4500

Modulus of Subgrade reactⁿ (K)

  • K = P/0.125 (kg/cm²)   → Plate load test

  • K1a1 = K2a2 → a1 

  • IRC → K 75 cm= 0.5 K30 cm

  • ∆ = 1.18Pa/E → Rigid

Radius of Relative Stiffness (l)

  • By Westergaards

  • lcm= [Eh³ / 12k(1-μ²)]1/4

  • l ∝ h^¾,   I↑es → μ↑es

  • Concrete → E = 3 x 10⁵ kg/cm², μ = 0.15

Equivalent Radius of Resisting Sectⁿ(b)

  • a > 1.724h b = a

  • a < 1.724h b = 1.6a² + h² - 0.675h

  • h = Slab thickness, a = Radii of wheel load distⁿ

PSI

  • PSI=5.41-1.80log(1+SV)-0.9C+P

Wheel stress by westergard

  • Interior 0.316P[4log(l/b)+1.069] / h2

  • Edge 0.572P[4log(l/b)+0.359] / h2

  • Corner 3P[1-(a2/l)0.6] / h2

Critical load

  • Pickard's formula → Design for corner loading 

  • No warping stress → if Temp = constant

  • Warping of concrete pavement causes reversal of stresses

  • Wt. vehicle↑es → FF ↑es → But f↓es

  • Wet Surface → f ∝ C.A. → frictⁿ New tyre > Old

  • Dry Surface → f ∝ 1/C.A. → friction Old > New

Critical load Position

  • Taken as → interior, edge and corner loading

  • Max stress → Summer midday → at edge

  • Critical stress/load → Day = Edge, Night = Corner

  • Summer  middayAt Edge = Load + Warping - Friction

  • Winter  middayAt Edge = Load + Warping + Friction

  • MidnightAt Corner = Load + Warping

Goldbecks formula

  • Tpavement= 3W/σ max

  • Stress due to corner load =3p/h2

JOINTS

i. Expansion joint

  • Transverse direction → Temp rise and fall, Subgrade moisture variation

  • Max spacing = 140 mm → Interval  = 25 -  30 m

  • Width or thickness = 2.5 cm

  • Max distance b/w EJ = 45 m

ii. Contraction joint

  • Transverse direction → Shrinkage & moisture variation

  • Provide → Where BM & SF is small & member is supported by other matter

  • At distance of 10 meters

  • Primarily relieves tensile stress in a concrete pavements

  • CJ is Predefined location of crack in a cc pavement

  • f = 1.5 

Dowel bars

  • Provided at Transverse joint → Extension and contraction joint → Along direction of traffic

  • Load transfer from one slab to another  & Keep slab at same height

  • Load transfer capacity = 40% of wheel load 

  • Ht. above the road level = 30 cm

iii. Warping/hinged joint

  • Along longitudinal section direction to prevent spilling of concrete due to temperature and subgrade Moisture variation 

  • Relieve warping stress & Rarely needed

iv. Construction

  • Shouldn't provided at corner

v. Longitudinal joint

  • Along the length of pavement to ↓es warping stress

  • Butt type in concrete pavement → IRC recommendation

  • Provided with tie bar

  • Tie bar length = 2 x development length (Ld) + Gap

  • Ld = σ st ϕ / 4 τ bd ϕ ≈ 10mm

  • Tie bar → Firmly tie longitudinally adjacent slabs 

DEFECTS 

  • Grading → Flattening and smoothing the road surface by scraping 

  • Sympathetic crack → Brittleness due to ageing of binder

  • Bituminous emulsion → Best binder material for stone aggregate, in patch repair work during rainy season with heavy traffic

Bird Baths

  • localised pavement surface areas with slightly lower elevation than surrounding pavements, it is due to subgrade failure 

Subsidence

  • localised/Abrupt lowering of the road surface , it may result from poorly compacted bad fill, poor local drainage

Defects of rigid pavements (Concrete)

  • Scaling of cement concrete

  • Shrinkage cracks → Joints and cracks on pavement layers

  • Warping cracks

  • Mud Pumping → Ejection of soil slurry, Due to stagnation of water and hence softening of clayey subgrade

  • Spalling of joints

  • Structural cracks

Defects of Flexible Pavement (Bituminous)

  • Much failure in foundation layers → Base course failure

  • Rate of deterioration → Exponential

i. Surface defects

  • Fatty surface: bituminous binder moves upwards

  • Streaking → 

ii.Cracking

  • Hairline cracks → Short & fine cracks at short interval

  • Alligator/Map cracking(Crazing) → Random deep Cracks, fatigue arising from repeated stress application, network of minor cracks on pavement Slab, Relative movement of pavement layer, repeated application of heavy wheel loads, Swelling and shrinkage of subgrade or other layers due to moisture variation, Brittleness and overheating of bitumen

  • Reflecting cracking → Bituminous overlay over cement concrete surface

  • Edge cracking

  • Hairline crack → insufficient bitumen content

iii. Disintegration

  • Stripping → Separation due to poor bitumen adhesion, Due to moisture damage, Segregation of bitumen and aggregate in the presence of moisture

  • Pothole → Bowl shaped holes extending into base course, progressive disintegration of bituminous premix

  • Ravelling Removals of large surface aggregate leaving craters, Progressive large disintegration of surface, caused by use of open graded aggregate

  • Loss of aggregate → 

iv. Deformation

  • Rutting Longitudinal depression on surface due to repeated application of load along the same wheel path, consolidation of one or more layer, Due to inadequate compaction of pav layers

  • Shallow depression: size nearly 25mm

  • Corrugation: regular undulations

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