TE_5th sem 2007

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    TRANSPORTATION ENGINEERING

    TRAFFIC

    ENGINEERING

    PUBLIC

    TRANSPORTATION

    TRANSPORT

    PLANNING

    TRANSPORT

    ECONOMICS

    PAVEMENT

    ENGINEERING

    FUNCTIONAL CLASSIFICATION

    ROADWAYS RAILWAYS WATERWAYS AIRWAYS

    MODAL CLASSIFICATION

    PUBLIC

    CAR

    ROADS

    SIGNALS

    PARKING LOTS

    PUBLIC

    TRAIN DRIVER

    LOCO & COACHES

    RAIL TRACKS

    SIGNALS

    STATIONS

    PASSENGERS

    CAPTAIN

    SHIP

    SHIPPING LINES

    COAST GUARD

    PORTS

    PASSENGERS

    PILOTS

    AIRCRAFT

    AIR ROUTS

    AIR TRAFFIC CONTROL

    AIR PORT

    PASSENGERS

    DRIVER

    VEHICLE

    WAY

    CONTROL

    TERMINAL

    USER

    ELEMENTAL CLASSES

    FIGURE: CLASSIFICATION SCHEME USED FOR TRANSPORTATION ENGINEERING

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    ROAD DEVELOPMENT IN INDIA

    • In 25 – 35 B.C : MAHENJEDARO & HORAPPA• In 4TH Century B.C : ARYAN PERIOD

    • In 5TH Century B.C : IMPERIAL GUPTA

    • In 16TH  – 18TH Century: MUGHAL EMPIRE

     – Development of first class system of communication through a welldeveloped road system

     – Major Routes were:• Patna – Kabul

    • Delhi – Surat

    • Delhi – Golconda

    • Golconda – Bijapur • Bijapur – Ujjain

    • Surat – Masulipatam

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    • MODERN PERIOD

    Under British Rule till the end of the 19th Century

    First major reform in public road construction inaugurated during leadership of Lord

    William Bentinck from 1828

     A better era was followed during the rule of Lord Dalhousie (1848 – 56); PWD established

    Road Development Committee (1927)

    Under Mr. M. R. Jayakar, MLA, as chairman

    The Road development committee known as Jayakar Committee

    Set up November, 1927

    Final report was published in November, 1928.

    Recommendations

    Road development should get National importance

    Central Road Fund to be set up to generate revenue by additional

    taxation on motor fuel, vehicle taxation, license fees for vehicles on hire  A semi-official technical body should be formed

     A research organization should be instituted to carry out research and

    development work and to be available for consultations.

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    Summery

    Most of the recommendations of the Jayakar Committee were accepted by the

    Govt.

    Implementation

    C.R.F – 1929

    IRC - 1934 (semi official technical body)

    CRRI- 1950 (a research organization)

    Motor Vehicles Act – 1939 (revised in 1988)

    Nagpur Road CongressChief Engineers of all States and Provinces were called by the Govt. of India tomeet at Nagpur in December, 1943 to discuss planning of post war road

    development.

    Known as 1st 20 years Road Development Plan in India (1943 – 1963)

    Recommendations of Nagpur Road Plan

    Road was classified in to four classes

    1. National Highways: Traverse several provinces or states,

    National Importance for Strategic, administrative and other

    purpose

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    2. State Highways: would be other main roads of states

    3. District Roads: would take traffic from the main roads to the

    interior of each district or similar unit- MDR, ODR

    4. Village Road: which essentially farm tracks, to be designed,constructed and maintained under the authority of the State

    Highways Department

    Construction of NH – Central Govt.

    Plan Period 20 years (1943-1963), target road length 16 km per 100 sq.

    km. of agricultural area, planed decision were taken based on

    agricultural and non-agricultural area.

    Star and Grid pattern of road network considered

    grid length for agricultural area – 16 km

    grid length for non-agricultural area – 64 km

    Bombay Road Plan ( 1961-1981) : 2nd 20 year road plan

    Lucknow Road plan (1981- 2001) : 3rd 20 year road plan

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    Present Road Development work in India

    Function of National Highways Authority of India (NHAI) The National Highways Authority of India was constituted by an act of

    Parliament, the National Highways Authority of India Act, 1988, It is responsible for the development, maintenance and management of National

    Highways in India.

    The NHAI is mandated to implement National Highways DevelopmentProject (NHDP)

    India's Largest ever highways project- World class roads with uninterrupted traffic flow- Major initiative for capacity enhancement of National Highways- Four/Six Laning of around 13,146 Km- Total Cost Rs. 54,000 crores

    In addition to implementation of National Highways Development Projects, the NHAIis also responsible for implementing some projects on National Highways other thanNHDP.NHAI is now responsible for implementing on National Highways of length

    around 10,000 Km.

    Up gradation of Rural Road Pradhan Mantri Gram Sadak Yojona

    Based on Habitation of the Village

    Core-network to be developed to connect the village through all weather road

    Monitoring agency set up  – State Technical Agency

    Formulation and Planning  – National Rural Road Development Agency Setup

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    Indian ROAD NETWORKS

    Indian road network of 33.4 lakh Km.is secondlargest in the world and consists of :

    Types of Road network Length (in Km.)

    EXPRESSWAYS 200

    NATIONAL HIGHWAYS 66,590

    STATE HIGHWAYS 1,28,000

    MAJOR DISTRICT ROADS 4,70,000

    RURAL AND OTHER ROADS 26,50,000

    TOTAL LENGTH 33.4 LAKHS (APPROX.)

    Status of National Highways as on

    30

    th

    November, 2006

    SingleLane/Intermed

    iate lane

    35%

    Double Lane 55%

    Four or morelanes

    10%

    About 65% of freight and 80% passenger traffic is carried by theroads

    National Highways constitute only about 2% of the road networkbut carry about 40% of the total road traffic.

    The growth of vehicles observed at an average pace of 10.16%per annum over the last five years.

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    Figure: National Highways Development Projects in India

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    “Transportation Engineering”

    Transportation Engineering is the application of scientific process (like observation,

    analysis and deduction) to the planning, design, operation and management of

    transportation facilities.

    Transportation Engineering is also multidisciplinary and require knowledge from

    specialized fields such as psychology, economics, ecology and environment, sociology,

    management, optimization, graph theory, probability theory, statistics, computer

    simulation and other area of civil engineering (such as structural and geothecnical ).

    Role of Transportation Engineering

    The Institute of Transportation Engineers (1987) defines transportation engineering

    as”the application of technological and scientific principles to the planning, functionaldesign, operation and management of facilities for any mode of transportation in order to

    provide for the safe, rapid,comfortable, convenient, economical and environmentally

    compatible movement of people and goods”.

    Traffic Engineering, a branch of transportation engineering, is described as “thatphase of transportation engineering which deals with planning, geometric design, and

    traffic operations of roads, streets and highways, their networks, terminals, abutting

    lands and relationship with other modes of transportation”.

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    Necessity of Highway Planning

    Highway planning is a basic need for highway development. Particularly planning

    is of great importance when the funds available are limited whereas the total requirement is

    much higher.

    Objective

    To plan a road network for efficient and safe traffic operation, but at minimum cost.

    To arrive at the road system and lengths of different categories of roads which could be

    constructed within the available resources during the plan period under consideration.

    To fix up date wise priorities for development of each road link based on utility as the

    main criterion for phasing the road development program.

    To plan for future requirements and improvements of roads in view of anticipated

    development.

    To work out financing system.

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    Planning Surveys

    Highway planning phases are:

     Assessment of road length requirement for an area ( it may be a district, state

    or the whole country)

    Preparation of master plan showing phasing of plan in annual and or five year

    plans

    For assessing the road length requirement, field surveys are to be carried out to

    collect the data required for determining the length of the road system.

    The field (data) surveys thus required for collecting the factual data may be called as

    planning surveys or fact finding surveys.

    The planning surveys consists of the following studies:

     A. Economic Studies

    B. Financial Studies

    C. Traffic or road user Studies

    D. Engineering Studies

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    A. Economic Studies

    Population and its distribution in village, town or district or other locality with the

    area classified groups

    Population growth trend

     Agricultural and Industrial products and their listing in classified groups, area wise

    Future trend of agricultural and industrial development

    Existing facilities with respect to communication, recreation and education etc.

    Per capita income

    B. Financial Studies

    Essential to study the varies financial aspects like sources of income and the

    manner in which funds for the project may be mobilized.

    The Details are

    Sources of income and revenue from taxation on road project

    Living standard

    Resources at local level, toll taxes, vehicle registration and fines – BOT

    Future trends in financial aspects

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    C. Traffic and Road Use Studies

     All existing traffic details such as volume, flow pattern etc. to be collected before any

    improvement could be planned.

    Traffic survey should be carried out in the whole area and on selected routes andlocations and also by dividing the total route into homogeneous sections in order to

    collect the following particulars.

    Traffic Volume in Vehicle/day (ADT), annual average daily traffic (AADT), Peak hour

    traffic and design hourly traffic volume.

    Origin Destination Studies

    Traffic Flow Patterns at junctions

    Mass transportation facilities

     Accidents, their causes, cost analysis

    Future growth trend in traffic volume and goods traffic

    Growth of passenger trips and the trend in the choice of mode

     Axle load survey to find the axle load spectrum

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    D. Engineering Studies

    The engineering studies includes the followings

    Topographic Survey – to create topographic Map for final alignment designSoil survey – soil investigation requires for design of pavement components etc.

    Location and classification of existing roads

    Road life studies

    Traffic studies

    Road Condition Survey – to evaluate the present structural condition of the road

    Condition of bridge and culvert etc.

    Special problems in drainage, construction and maintenance of road

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    Classification of Rural Road  – (IRC 73: 1980)

    National Highway - NH

    State Highway - SH

    Major District Road - MDR

    Other District Road - ODR

    Village Road – VR

    Classification of Urban Road  – (IRC 86: 1983)

     Arterial Road

    Sub-arterial Road

    Collector Street

    Local Street

    Road Patterns

    o Rectangular or block pattern

    o Radial or star and block pattern

    o Radial or star and circular pattern

    o Radial or star and grid pattern

    o Hexagonal pattern

    o Minimum travel pattern

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    Highway Alignment

    Layout of the Central Line of the highway on the ground is known as alignment

    Horizontal alignment : Include Straight and horizontal curve

    Vertical alignment : Gradient and vertical curve

    Basic requirement of an ideal alignment

    Short – Shortest between two terminals

    Easy – Construction and maintenance of the highway must be easy

    Safe – Should be safe against construction and maintenance, natural slope

    stability, traffic operation with geometric features

    Economical – Final cost should be minimum with respect to initial cost.

    Methods of alignment survey

    New Alignment – GIS method

    Existing Alignment – Conventional method

    Engineering Survey for Highway Location

    Map Studies

    Reconnaissance survey

    Preliminary survey

    Detail survey

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    Detail survey

    Establishing the Central Line of the proposed route

    Establishing Bench Mark at suitable point

    Detail survey of topography, soil investigation, leveling work etc.

    Preparation of Drawing and Report

    Key Map

    Index Map

    Preliminary Map

    Detail plan and longitudinal profile

    Detailed Cross-section

    Land acquisition plans

    Drawings of detail Cross drainage and other retaining structures

    Drawings of road intersections

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    HIGHWAY GEMETRIC DESIGN

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    Highway Geometric Design

    • Highway Geometric Design is an aspect of highway design dealing with thevisible dimensions of a roadway

    • Proper designing of the layout of a road is important from two aspects:

    It facilitates smooth flow of traffic and

    It improves safety

    These improvements derived from:

    I. Good geometric design of direction changes in road

    II. Good geometric design of slope changes in roads

    III. Good delineation of desirable vehicular paths at confusing locations such as

    intersections

    Layout design of road sections joining two roads with different directions is

    referred to as geometric design of horizontal curves

    Layout design of road sections joining two roads with different gradients (or

    slope) is referred to as geometric design of vertical curves

    Layout design of road section for the purpose of proper delineation of vehicular

    paths is referred to as channelization design

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    Task of Geometric Design of highway

    Cross Sectional Elements

    Sight Distances

    Horizontal AlignmentVertical Alignment

    Intersection

    Typical road cross-sectionFormation width

    Carriageway

    Right-of-way (ROW)

    Roadway

    G.L

    Shoulder 

    Road Boundary

    Building Line

    Control Line

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    Terrain Classification

    Sl. No. Terrain Classification Percent Cross-slope of the country

    1 Level/Plain 0 to 10

    2 Rolling 10 to 253 Mountainous 25 to 60

    4 Steep Greater than 60

    The classification of the terrain is done by means of the cross-slope of the country.

    Plain & Rolling Terrain Mountainous & Steep Terrain

    For NH and SH 

    Single Lane 12.0 m. 6.25 m.

    Two Lane 12.0 m. 8.80 m.

    MDR 

    Single Lane 9.0 m. 4.75 m.

    Two Lane 9.0 m. 4.75 m.

    Road Way Width as per IRC

    The minimum roadway width on single lane bridge is 4.25 m.

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    Class of

    Road

    Plain and Rolling Terrain Mountainous Terrain

    Rural Area Urban Area Rural Area Urban area

    Normal Range Normal Range Normal Exceptional Normal Exceptional

    NH

    & SH

    45 m (30 – 60) m 30 m (30 – 60) m 24 m 18 m 20 m 18 m

    MDR 25 m (25 – 30)m 20 m (15 – 25) m 18 m 15 m 15 m 12 m

    ODR 15 m (15 – 25) m 15 m (15 – 20) m 15 m 12 m 12 m 9 m

    Right-of-way (ROW) width for different classes of Roads in India

    Carriage way width

    The width of the pavement is the carriage way width (Ref: IRC : 86-1983)

    Class of Road Carriage way width (m)

    Single Lane 3.75

    Two lanes without raised kerbs 7.0

    Two Lanes with raised kerbs 7.5

    Intermediate Carriage way 5.5

    Multilane Pavements 3.5 per Lane

    The maximum width of vehicle as per IRC specification is 2.44 m.

    Ref: IRC: 52 - 1981

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    Shoulder 

    The shoulder is that part or portion of the roadway contiguous with traveled

    way and is intended for accommodation of stopped vehicles, emergency use and

    lateral support of base and surface course.

    For Two lane rural roads shoulder width is 2.5 meter.Curbs (Kerbs)

     A curb is a vertical or slopping member along

    the edge of a pavement or shoulder strengthening or

    protecting the edge and clearly defining the edge to

    vehicle operators

    Camber or cross-slope

    Camber, also known as cross-slope facilitates drainage of a pavement laterally.

    The amount of camber depends upon the smoothness of the surface and intensity of

    rainfall

    Fig. Vertical barrier curb

    Types of Surface Camber in Percentage (rainfall heavy to light)

    1. Cement Concrete or high type bituminous 2 to 1.7

    2. Thin bituminous surfacing 2.5 to 2

    3. Water bound macadam 3 to 2.5

    4. Earth 4 to 3

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    Sight Distances

    • The clear visible distance available

    • The sight distance requirements

    # Stopping Sight Distance (SSD)# Overtaking Sight Distance (OSD)

    # Intermediate Sight Distance

    For operating a motor vehicle safely and efficiently, it is of utmost importance that drivers

    have the capability of seeing clearly ahead. Therefore, sight distance of sufficient length

    must be provided so that the drivers can operate and control their vehicle safely. Sight

    distance – length of roadway ahead visible to the driver – can be discussed in four

    important situations

    1. The distances required by the motor vehicle to stop

    2. The distances needed at complex location

    3. The distances required for passing and overtaking vehicles, applicable to twolane highways

    4. The criteria for measuring these distances for use in design

    IRC recommended that the height of the driver’s eye is 1.2 m and height of the object is

    0.15m above the road surface

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    Sight Distances

    Stopping Sight Distance (SSD)

    Stopping sight distance is the distance required by a driver of a vehicle traveling at

    given speed to bring his/her vehicle to a stop after an object on the highwaybecomes visible. It is made up of two components

    i) the distance traveled during perception and break reaction time; and

    ii) the distance travelled during the time the breaks are under application till the

    vehicles comes to a stop

    Perception time is the time which elapses between the instant the driver perceivesthe object on the carriageway and the instant that the realizes that breaking of the

    vehicle is needed

    The time lag or the brief interval between the perception of danger and the effective

    application of the breaks is called break reaction time

     As per IRC a value of 2.5 seconds is considered for perception time and break

    reaction time taken together 

    Stopping Sight Distance = Distance travelled during perception and beak reaction

    time + breaking distance (distance in which a moving

    vehicle comes to a stop after the application of brakes)

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    Stopping Sight Distance (SSD) = 278Vt + V2/(254f)

    Where, V = Design Speed km/hr.

    t = Perception and break reaction time

    = 2.5 second

    f = Coefficient of longitudinal friction between the

    tyre and the pavement

    SSD = in meter 

    The co-efficient of friction is assumed to vary from 0.40 at 20 kmph to 0.35 at 100 kmph

    Effect of longitudinal grade

    Stopping Sight Distance (SSD) = 278Vt + V2/254 (f + 0.1G)

    G = gradient in percentage

    positive sign may used for ascending gradient

    negative sign may be taken for descending gradient

    For single lane two-way traffic,

    SSD = 2 [278Vt + V2/(254f )]Note: Correction for grade should not be applied on undivided roads with two-way traffic

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    Speed

    (Km/hr)

    Safe Stopping Sight

    distance (m)

    20 20

    25 25

    30 30

    40 45

    50 60

    60 80

    65 90

    80 120

    100 180

    Table: Stopping Sight Distance as per IRC

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    Overtaking Sight Distance (OSD)

    d1= represents the distance travelled during the perception and reaction time and

    during the initial acceleration to the point of encroachment on the right lane

    d2 = represents the actual distance covered by the overtaking vehicles during the

    overtaking manoeuver 

    d3 = represents the distance between the overtaking vehicles at the end of its

    manoeuver and the opposing vehicle, is known as clearance length

    d4 = represents the distance travelled by an opposing vehicle at the design speed

    while the overtaking manoeuver is taking place

    d1 d2 d3 d4

    Figure : Elements of Overtaking Sight Distance for two-lane highway

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    d1 = vb t

    s = (0.2 vb + 6)

    d2 = (vb T + 2s)

    d3 = vT

    d4 = 2/3 (d2)

    OSD = (d1 + d2 + d3 + d4)

    = (d1 + 5/3d2 + d3 )

    Therefore

    OSD = 0.278 vb t +5/3(0.278vb T + 2s)+0.278VT

    Where, vb = speed of overtaken vehicle, kmph

    t = reaction time, sec,

    V = speed of overtaking vehicle or design speed, kmph

    T = √14.4s/A,sec = time taken for overtaking operations = spacing of vehicles = (0.2 vb + 6)

     A = acceleration, kmph/sec

    If the speed of overtaken vehicle vb is not given, the speed of overtaken

    vehicle may be assumed as vb = (V – 16) kmph

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    Minimum overtaking distance

    For two-way traffic = (d1 + d2 + d3 + d4)

    For one-way traffic = (d1 + d2)

    On divided highway with four or more lanes, IRC suggests that normal OSD

    is not necessarily be provided, only sight distance may be ensured which

    should be more than the required SSD, which is absolute minimum sight

    distance

    OVERTAKING ZONE

    The zones where the overtaking opportunity is available, zones which are

    meant for overtaking.

    The minimum length of overtaking zone:

    For two-way traffic = 3 (d1 + d2 + d3 + d4)For one-way traffic = 3(d1 + d2)

    The desirable length of overtaking zone is five times of the overtaking sight

    distance

    Speed Intermediate Sight

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    Table: Overtaking Sight Distance as Per

    IRC

    Speed (Km/hr)Safe overtaking Sight

    distance (m)

    40 165

    50 235

    60 300

    65 340

    80 470

    100 640

    Table: Intermediate Sight Distance

    Speed

    (Km/hr)

    Intermediate Sight

    distance (m)

    20 40

    25 50

    30 60

    40 90

    50 120

    60 160

    65 180

    80 240

    100 360

    For the section of road where the overtaking sight distance can not be provided, as a

    second preference, intermediate value between the safe SSD and safe OSD is

    recommended

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    Set-Back distance at obstructions of horizontal curve

    The Value of Set-back distance M = S2 /8R

    (for cases where the required sight distance is wholly within the curved road)

    Figure: Elements of Set-Back distance at obstructions of horizontal curve

    S

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    R

     

    mn

    S

    Sight Obstruction

    SIGHT LINE

    Fig. Visibility of Horizontal curve

    R = radius of curve

    S = Sight distance

    m = minimum set- back distance

    n = distance between centre line of

    carriageway and centre line ofinside lane

    Centre line of

    carriage wayCentre line of

    inside lane

    Ref: IRC : 73-1980

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    CALCULATION OF SET-BACK DISTANCE

    The set-back distance is calculated from the following equation

    m = R – (R-n) Cos

    Where = [S / 2(R-n)] radians;

    m = the minimum set-back distance to sight obstruction in meters

    (measured from centre line of the road);

    R = radius of centre line of the road in meters;

    n = distance between the centre line of the road and the centre line of 

    the inside lane in meters; and

    S = sight distance in meters

    In the above equation, sight distance is measured along the middle of inner lane.

    On single-lane roads, sight distance is measured along centre line of the roadand ‘n’ is taken as zero

    Set-back distance for overtaking or intermediate sight distance can be computed

    similarly but the clearance required is usually too large to be economically

    feasible except on very flat curve

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    Horizontal Alignment

    Design of horizontal alignment consists of the following aspects such as

    Design Speed

    Horizontal CurveSuper elevation

    Widening of pavement on horizontal curve

    Horizontal Transition Curve

    Design Speed

    Design speed is a speed determined for design and correlation of the physical

    features of a highway that influence vehicle operation. It is the maximum safe

    speed that can be maintained over a specified section of a highway when

    conditions are so favourable that the design features of the highway govern. The

    design speed must be correlated with the terrain conditions as well as the

    classification of highways.

    The 95th and 98th percentile speed are frequently chosen at the Design Speed

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    Horizontal Curve

     A horizontal highway curve is a curve in plan to provide change in direction to the

    central line of a road

    The horizontal curve consists of

    Horizontal Circular Curve

    Horizontal Transition Curve

    COMBINED CIRCULAR AND TRANSITION CURVE

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    Superelevation

    When a vehicle is moving on a curved path, it is subjected to an outward force,

    commonly known as the centrifugal forces. In order to resist this forces, it is the usual

    practice to super-elevate the roadway cross-section

    The expression for super-elevation,

    e + f = V2/ 127R,

    V = Km/hr 

    R = Radius of the curve, m

    e = super elevation, max value is 0.07 for plain and rolling terrain, for hill road notbounded by snow, max value is 0.10

    f = Co-efficient of lateral friction, max value is 0.15

    Coefficient of lateral friction depends on:

    o Vehicle Speed

    o Type and condition of road surface

    o Type and condition of tyre

    IRC suggested max value of f is 0.15

     AASHTO suggested a max value of 0.16 for speed 50 kmph and min value of 0.08

    for 120 kmph

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    Equivalent Super elevation

    Considering co-efficient of lateral friction = 0,

    e = V2/127R,

    In this condition pressure under both the wheel (inner and outer) will be same

     As per the Indian practice, super-elevation is calculated on the assumption that it should

    counteract the centrifugal force developed at three-fourth of design speed. Thus

    e = (0.75V)2/127R

    = V2/225R

    Calculation for Super elevation

    Step 01: Calculate the super elevation for 75% of design speed neglecting friction

    Step 02: If calculated value of e is less than 0.07 for plain and rolling terrain, the value so

    obtained is provided,If the value of e exceeds 0.07 then provide max super elevation of 0.07 and go

    to step 03

    Step 03: Check the co-efficient of friction developed for the max value of e (e=0.07) at

    the full value of design speed, f = (V2/127R – 0.07)

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    if the value of f comes less than 0.15 the super elevation of 0.07 is safe for the design

    speed

    If not, calculate the restricted speed as given in step 04

    Step 04: As an alternate to step 04 the allowable speed at the curve is calculated byconsidering the design co-efficient of lateral friction and the max value of e

    e + f = 0.07 + 0.15 = V2/127R

    Note:

     Appropriate warning sign and speed limit regulation sign are installed to

    restrict and regulate the speed at such curves where the safe allowable

    speed is less than the design speed

    For highways the curve should be designed without any speed restriction

    Therefore the curve should be re-aligned for the curve maintained design

    speed.

    Radaii curves for which no super-elevation is required

    The normal camber can be provided for the section where the super elevation

    calculated is less than the camber 

    R = V2/225 e

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    Practical Values of the super-elevation rate

    The value of the super-elevation rate that can be used is dependent on many factors:

    o The frequency of snowfall (in cold countries)

    o The type of terrain

    o The type of area (urban or rural)

    o Frequency of slow moving vehicles

    Considering the factors various codes suggested different maximum levels of super-elevation rate

    Consider a stopped vehicle on the curveas shown in the fig, for its equilibrium

    condition the following inequality will

    satisfy,

    mg sin θ ≤ f s, max × mg cos θ

    tan θ ≤ f s, maxe < f s, max

    f s, max is the maximum co-efficient of 

    side friction

     AASHTO suggested, for low speed,

    maximum friction value close to 0.3,

    where as IRC suggest a value of 0.15

    Fig. Free body diagram of a static

    vehicle on a circular horizontal curve

    mg sin θ

    f s × mg cos θ

    mg cos θ

    mg

    θ

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    Practical Values of the super-elevation rate

     AASHTO suggested, for low speed, maximum friction value close to 0.3

    IRC suggests a value of side friction as 0.15, which is independent of speed. Thisindicates that the maximum value of e, (i.e. emax), that can be used is at least as high

    as 0.15.

    However the practical maximum limits of e, as suggested by IRC and AASHTO, are

    much lower than this value.

     AASHTO suggests using e values less than 0.1 with several other lower limiting values

    which depend on the terrain and environmental factors.

    IRC (IRC: 73  – 1980, IRC:86 -1983) suggests the following maximum limits on e

    values:

    For plain and rolling terrain and snow bound areas – 0.07

    For hilly terrains (without snow) – 0.1

    For urban roads with frequent intersection – 0.4

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    ATTAINMENT OF SUPERELEVATION ON CIRCULAR CURVE

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    Widening of pavement on horizontal curve

    On horizontal curves, especially when they are not of large radii, it is common to

    widen the pavement slightly more than the normal width. That is some extra width

    has been introduced at the horizontal curve. This method is referred as extra

    widening of pavement.

    Causes:

    The vehicle has rigid wheel base and only front wheels can turn, the rear 

    wheel do not follow the same path as that of the front wheels.

    When the vehicle operating the speed higher than the design speed, the

    super-elevation and the friction of the pavement can not fully counteract thecentrifugal force effect. In that case some transverse skidding may occur.

    Therefore in that situation extra widening is necessary.

    While overtaking at horizontal curve there is the tendency of the driver to

    maintain a greater lateral clearance between two vehicles than on straight

    path for ensuring safety.The extra width of the pavement on horizontal curve is depend upon

    1. Length of the wheel base of the vehicle

    2. Radius of horizontal curve negotiating

    3. Psychological factor depending on speed and radius of curve

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    The extra widening of pavement on horizontal curves is divided into two parts:

    Mechanical widening – W m  Psychological widening – W ps 

    Mechanical widening

    The widening required to account for the off-tracking due to the rigidity of wheel

    base is referred as mechanical widening ( W m  ) and can be calculated as given

    below:

    W m =   l 2  /  2R 

    Where,   l  =  Length of wheel base, m.

    R = Radius of horizontal curve, m

    The mechanical widening calculated above is required for one vehicle negotiating a

    horizontal curve along one traffic lane.Hence in a road having ‘n’ traffic lanes, as ‘n’ vehicles can travel simultaneously, the

    total mechanical widening required is given below:

    W m = n   l 2  /  2R 

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    Table: Extra width of pavement at horizontal curve

    Radius of curve (m)Extra width in meter

    Single lane Two - laneUp to 20 0.9 1.5

    20 to 40 0.6 1.5

    41 to 60 0.6 1.2

    61 to 100 Nil 0.9

    101 to 300 Nil 0.6

    Above 300 Nil Nil

    For multi-lane roads, the extra widening is calculated by adding half the extra

    width of two lane roads to each lane of multilane road

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    Method of introducing extra widening on horizontal circular curve

    The widening is introduced gradually from the beginning of the transition curve with

    an uniform rate till the full value of designed extra width is reached at the end of thetransition curve where full value of super-elevation is also provided

    The full value of designed extra width is continued throughout the circular curve and

    decreased along the transition curve

    Normally the extra width is equally distributed i.e., We /2 each on inner and outer  sides of the curve

    On sharp curves of hill roads the extra widening in full may be provided on inside of 

    the curve

    On horizontal circular curve without transition curves, two-thirds of the designed extra

    width is provided at the end of the straight section, i.e., before the start of the circular 

    curve and the remaining one-third is provided on the circular curve

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    Horizontal Transition Curve

    NEED FOR TRANSITION CURVE (Introduction)

    When a vehicle traveling on a straight course enters a curve of finite radius it is

    suddenly subjected to the centrifugal force which causes jerk/shock and sway. In

    order to avoid this it is customary to provide a transition curve at the beginning of 

    the circular curve having a radius equal to infinity at the end of the straight and

    gradually reducing the radius to the radius of the circular curve where the curve

    begins. Incidentally, the transition portion is also used for the gradual application of 

    the super elevation and the curve widening

    OBJECTIVE OF PROVIDING TRANSITION CURVE

    1. Gradually introducing the centrifugal force effect

    2. For easy streeting of driver on the curve with safety & comfort

    3. To provide super-elevation gradually

    TYPES OF TRANSITION CURVE

    # Spiral OR Clothoid

    # Lemniscates

    # Cubic parabola

    111

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    111

    Normally Transition curve are of Spiral or Clothoid

    IRC recommends the use of spiral as transition curve in horizontal alignment as

    the

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    Design standards for vertical curves establish their minimum lengths for 

    specific circumstances. For highways, minimum length of vertical curve may

    be based on sight distance, on comfort standards involving vertical

    acceleration, or appearance criteria

    Vertical curves are normally parabolas centered about the point of  

    intersection (P.I.) of vertical tangents they join

    The parabola is selected as the vertical curve so that the rate of change of 

    grade, which is the second derivative of curve, will be constant with

    distance.

    H Hh

    Length of summit curve

    OSD

    SSD

    N = (n1 + n2)

    +n1 -n2

    Fig. Length of summit curve

    P.I.

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    Length of summ it curve for stopping s ight distance (SSD) 

    Two cases are to be considered in deciding the length:

    1. When the length of curve is greater than the sight distance (L > SSD)

    2. When the length of curve is less than the sight distance (L < SSD)

    When L > SSD

    The general equation for length L of the parabolic curve is

    L =

    Where,

    L = Length of summit curve, m

    S = Stopping sight distance, m

    N = Deviation angle, equal to algebraic difference in grades

    H = Height of eye level of driver above roadway surface, 1.2 m.

    h = Height of object above the pavement surface, 0.15 m.

    2)2h2H(

    2 NS

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    When L < SSD

    The general equation for length L of the parabolic curve is

    L = 2S -

    Where,

    L = Length of summit curve, m

    S = Stopping sight distance, m

    N = Deviation angle, equal to algebraic difference in grades

    H = Height of eye level of driver above roadway surface, 1.2 m.

    h = Height of object above the pavement surface, 0.15 m.

     N 

    2)2h2H(  

    Length of summ it curve for safe overtaking s ight d istance (OSD)

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    Length of summ it curve for safe overtaking s ight d istance (OSD)

    or Intermediate sight dis tance 

    Two cases are to be considered in deciding the length:

    1. When the length of curve is greater than the overtaking sight distance or

    Intermediate sight distance (L > S)

    2. When the length of curve is less than the overtaking sight distance or

    Intermediate sight distance (L < S)

    When L > S

    L = NS2/ 8H ; substituting h = H

    When L < S

    L = 2S – 8H/N

    Example of typical vertical alignment

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    Example of typical vertical alignment

    I.P.

    I.P.Up hill

    straight linegradient (+ve)

    Crest/Summit

    curve (Parabola)

    Downhill

    straight line

    gradient (-ve)

    Sag/Valley curve(Parabola)

    Up hill

    straight linegradient (+ve)

    Fig. Typical vertical alignment

    Valley curve

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    Valley curve

    The length of valley curve is designed based on two important consideration

    1. Impact free movement of vehicles at design speed or comfort criteria

    of the passenger 

    2. Availability of SSD under head lights of vehicles for night driving

    The best shape of valley curve is a transition curve for gradually

    introducing and increasing the centrifugal acceleration or radial

    acceleration change acting downward as the allowable rate of change

    of centrifugal acceleration govern the design of valley curve

     Allowable rate of change of centrifugal/radial acceleration is 0.6 m/s3

    Generally Cubic parabola is preferred for vertical valley curve

    Length of valley curve

    The length of valley curve is design based on two criteria

    I. The allowable rate of change of centrifugal/radial acceleration is

    0.6 m/s3 that is comfort criteria and

    II. The head light sight distance of the vehicle for night driving

    The higher of the two value is adopted for design

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    The valley curve is made with full transition curve (no circular in between), two similar transition curve of equal length

    In fig. Total length of valley curve is L, and length of two similar transition curve is LS = L/2

    having minimum radius R at common point on the curve, K

    1. Th e len gth o f v alley c urv e fo r c om fo rt c on dit io n is  

    L = 2 LS = 0.38 (NV3)1/2

    Consideration : value of rate of change of centrifugal acceleration is taken as 0.6 m/s3

    Where,

    N = Deviation angle, equal to algebraic difference in grades

    V = Design Speed, kmph

    -n1 +n2

    Length of valley curve, L

    N

    L/2 L/2

    Fig. Length of valley curve

    K

    2 Length of valley curve for head light s ight d istance of the vehic le

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    2. Length of valley curve for head light sight distance of the vehic le

    This can be determined from the two condition

    a. When the total length of valley curve L is greater than the stoppingsight distance (equal to head light sight distance of vehicle), L>SSD

    b. When L is less than SSD, LSSD

    L =)tan22( 1

    2

     S h

     NS 

    h1 h1

    S

    N

    S tan

    Fig. Head light sight distancewhen L > S

    Where,

     Average Height of the head light, h1 = 0.75

    The beam angle = 10

    L = Total length of valley curve, m

    Where,

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    b. When L

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    Problem#01

     An ascending gradient of 1 in 50 meets a

    descending gradient of 1 in 80. Determine

    the length of summit curve for a design

    speed 80 kmph. Assume all other data

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    Problem#02

     A valley curve is formed by a descending gradient of 1 in40 which meets an ascending gradient of 1 in 30.

    Design the total length of valley curve if the design

    speed is 80 kmph so as to fulfill both comfort condition

    and head light sight distance for night driving, after  calculating the SSD required

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    TRAFFIC ENGINEERING

    Definition

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    Definition

    Traffic Engineering, a branch of transportation engineering, is

    described as “that phase of transportation engineering which deals with

    planning, geometric design, and traffic operations of roads, streets and

    highways, their networks, terminals, abutting lands and relationship

    with other modes of transportation”.

    The study of Traffic Engineering is sub-divided in to the following groupsTraffic Characteristics

    Traffic Studies and analysis

    Traffic operation – control and regulation

    Planning and analysis

    Geometric design

     Administration and management

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    Traffic Characteristics

    o Road User Characteristics

    o Vehicle Characteristics

    Traffic Studies and analysis

    Traffic Volume study

    Speed Studies

    Origin and destination (OD) study

    Traffic Flow characteristics

    Traffic capacity study

    Parking study

     Accident study

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    Traffic operation – control and regulation

    Traffic Planning and analysis

    Geometric design

     Administration and management

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    Traffic Characteristics

    Road User Characteristics

    Physical Mental Psychological Environmental

    Vision,

    hearing

    Knowledge,

    Skill, etc.

    Perception, Intellection,

    Emotion, and Volition

    (PIEVE time)

    Atmospheric condition,

    locality, traffic

    streams

    Vehicular Characteristics

    Vehicle

    Dimensions

    Gross vehicle

    weight andaxle weight

    Power of

    vehicle

    Speed of

    vehicle

    Breaking

    characteristics

    Maximum dimensions of Road Vehicles

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    Maximum dimensions of Road Vehicles

    Dimension of

    vehicle

    Details

    Maximum Dimensions, m

    (excluding front & rear

     bumper)

    Width All vehicles 2.50

    Height

    a) Single-decked vehicle for normal

    application b) Double-decked vehicle

    3.80

    4.75

    Length

    a) Single-unit truck with two or more

    axles

     b) Single unit bus with two or more

    axlesc) Semi-trailer tractor combinations

    d) Tractor and trailer combinations

    11.00

    12.00

    16.0018.00

    Ref: Dimensions and Weights of Road Design Vehicles, IRC:3  – 1983, Indian

    Roads Congress, New Delhi, 1983

    Traffic Studies and analysis

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    Traffic Studies and analysis

    Traffic Volume study

    Objective

    1. To select the priority for improvement and expansion of trafficfacilities

    2. This study helps in planning and design of traffic control

    methodology

    3. Classified traffic volume count study ( IRC recommends 7days 24

    hours for mid block and 16 hours for junction, for rural roads) is

    needed for structural design of pavement, finding the capacity of

    the roadway etc

    4. Turning movement count is used to design the intersection, fixing

    the traffic signal timing etc.

    5. Pedestrian traffic volume study is used for design side walks or

    foot path, pedestrian signal timing, foot over bridge etc.Methods

    1. Mechanical counters

    2. Manual Methods

    Presentation of Traffic Volume Data

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    Presentation of Traffic Volume Data

     Average Daily Traffic (ADT)

    It is the average volume of traffic counted for 7 days 24 hours or 3 days 24

    hours (Ref: IRC 64; IRC: 109)

     Annual Average Daily Traffic (AADT)

    It can be calculated from the traffic survey conducted throughout the year of all

    season or by multiplying the ADT with Seasonali ty Facto r 

    Charts showing hourly, daily and seasonal variation of traffic

    Composition of different types of traffic

    Flow volume diagrams at an intersection

    Thirtieth highest hourly volume Design hourly volume

    It is the hourly volume that will be exceeded only 29 times in a year and all

    other hourly volume of the year will be less than this value, For Indian

    condition design hourly volume (DHV) of 8 to 10% AADT has been suggested

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    TRAFFIC COMPOSITION A NATIONAL HIGHWAY

    Car / Jeep /Van

    17.9%

    2 Axle Truck14.6%

    Multi Axle Truck

    10.3%Bus

    7.4%

    Cycle Rickshaw2.8%

    2 Wheelers

    12.2%

    Other Fast

    0.1%

    Bicycle

    29.2%

    3 Wheelers

    5.3%

     Agricultural Tractor 

    0.1%

    Other Slow0.0%

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    0 20 40 60 80 100 120

    10

    20

    30

    40

    50

    Number of Hours in one year with Traffic Volume Exceeding that shown

    H o u

    r l   yT r  af  f  i   cV  ol   um e– p er  c en t   of  ADT 

     3  0 T HHI   GHE  S 

    T H O UR

    Stream flow fundamentals

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    Stream flow fundamentals

    Definition

    Flow: Flow (q) is defined as the number of vehicles passing a specified

    point or short section in a given period of time in a single lane. It isexpressed as vehicles/hour/lane

    Free-flow speed (uf  ) : It is that speed which exists when flows approaches

    zero under free-flow condition.

    Optimum speed (uO ) : It is that speed which exists under maximum flow

    condition.

    Density (k) : It is defined as number of vehicles occupying a section of roadway

    in a single lane. It is expressed as vehicles/km./lane

    Jam density (k  j  ) : It is that density that occurs when both flow and speed

    approaches zero

    Optimum density (k O ) : It is occurred under maximum flow condition

    Speed, flow and density relationship

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    k j

    uf 

    Density

    (veh/km)

    Speed(km/h)

    Flow (veh/hr)

    Speed

    (km/hr)

    q m 

    u o 

    uo = Speed at maximum flow qm

    Which is half of free-flow speed uf 

    k j = jam density

    km = density at maximum flow qm

    uf  Speed-density

    relationship

    Speed-flow

    relationship

    Flow

    (veh/hr/lane)

    Density

    (veh/km/lane)

    k jko

    q m 

    ko

    u o 

    Flow-density

    relationship

    Speed studies

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    p

    Spot Speed

    It is the instantaneous speed of a vehicle at a specified location

    Time-mean speedIt is the average of the speed measurements at one point in space over a

    period of the time. It is the average of a number of spot speed

    measurements.

    Space-mean speed

    It is the average of the speed measurements at an instant of time over a

    space