86

Click here to load reader

Design of Flexible Pavement as Per Irc_37_2012

Embed Size (px)

DESCRIPTION

design of flexible pavement i transportation engg

Citation preview

Page 1: Design of Flexible Pavement as Per Irc_37_2012

DESIGN OF FLEXIBLE PAVEMENTS (As per IRC 37 – 2012)

Prof. A. Veeraragavan IIT Madras, Chennai -600036.

[email protected]

1

Page 2: Design of Flexible Pavement as Per Irc_37_2012

2

CHOICE OF DESIGN OF PAVEMENTS

Flexible Pavements

Rigid Pavements

Composite Pavements

Choice of Pavements Based on Life Cycle Cost Analysis

Page 3: Design of Flexible Pavement as Per Irc_37_2012

3

Base – 250 mm

Black Topping-200 mm

Road Crust

FLEXIBLE PAVEMENTS

Vehicle

450

Sub Grade 500mm

Sub Base – 200 mm

Embankment

Ground Level

Page 4: Design of Flexible Pavement as Per Irc_37_2012

CONCRETE PAVEMENTS

4

Page 5: Design of Flexible Pavement as Per Irc_37_2012

TRANSFER OF WHEEL LOAD TO FOUNDATION IN RIGID PAVEMENT STRUCTURE

5

Page 6: Design of Flexible Pavement as Per Irc_37_2012

6

Granular Base – 150 to 200 mm

Black Topping – 50 to 75 mm

Road Crust

INVERTED PAVEMENTS

Vehicle

450

Stabilised Subgrade – 300 mm

Cement Treated Base – 150 to 300 mm

Embankment

Ground Level

Page 7: Design of Flexible Pavement as Per Irc_37_2012

Pavement Design Alternatives

7

Page 8: Design of Flexible Pavement as Per Irc_37_2012

8

MATERIALS Road development programmes in India require 150

million cu.m of aggregate per annum - Environment

Problem.

NHDP Project of 60 km road improvement requires 20

Lakh tonne of material. For a lead of 200 km (which is

common in North India) it will require 180,00,000

litres of diesel for transportation alone

Page 9: Design of Flexible Pavement as Per Irc_37_2012

CONVENTIONAL PAVEMENT DESIGN – IRC37

Pavement Thickness for CBR value of 5%

9

Page 10: Design of Flexible Pavement as Per Irc_37_2012

CONSUMPTION OF AGGREGATE QUANTITY

Aggregate Quantity for one km - two lane, in metric tones

10

For a typical 60km stretch aggregate consumption is about 20-30 lakh tones of good aggregate 10

Page 11: Design of Flexible Pavement as Per Irc_37_2012

Scope of IRC-37-2012 Guidelines • For the purpose of the guidelines, flexible

pavements include pavements with Bituminous surfacing over: • Granular base and sub-base • Cementitious bases and sub-bases with a crack

relief layer of aggregate interlayer below the bituminous surfacing

• Cementitious bases and sub-bases with SAMI • Reclaimed Asphalt Pavement (RAP) with or

without addition of fresh aggregates treated with foamed bitumen/bitumen emulsion

11

Page 12: Design of Flexible Pavement as Per Irc_37_2012

Scope

• Mechanistic Empirical approach • Design life of pavement to last till the fatigue

cracking in bituminous surface extended to 10 per cent of the area for design traffic exceeding 30 million standard axles.

• Bituminous mix design to provide • Fatigue resistant mixes in the bottom bituminous layer to

eliminate bottom-up cracking • Rut resistant bituminous layers of high tensile strength to

eliminate rutting and surface cracking.

12

Page 13: Design of Flexible Pavement as Per Irc_37_2012

Scope

• Revised guidelines also recommend cementitious sub-bases and bases .

• Elastic Moduli of such layers are to be judiciously

selected, which can ensure long term performance as a structural layer in the pavement.

• Only low strength cementitious bases are

recommended for use; high strength rigid bases develop wide shrinkage cracks which reflect to the bituminous surface rapidly. 13

Page 14: Design of Flexible Pavement as Per Irc_37_2012

Better Performing Pavements • Guidelines recommend to achieve better performing pavements:

• Incorporation of design period of more than fifteen years • Computation of effective CBR of subgrade for pavement design • Use of rut resistant surface layer • Use of fatigue resistant bottom bituminous layer • Selection of surface layer to prevent top down cracking • Use of bitumen emulsion/foamed bitumen treated Reclaimed

Asphalt Pavements in base course • Consideration of stabilized sub-base and base with locally available

soil and aggregates • Design of drainage layer • Computation of equivalent single axle load considering (a) single

axle with single wheel (b) single axle with dual wheels (c) tandem axle and (d) tridem axles

• Design of perpetual pavements with deep strength bituminous layer. 14

Page 15: Design of Flexible Pavement as Per Irc_37_2012

Traffic • Traffic in terms of the cumulative number of standard

axles (80 kN) to be carried by the pavement during the design life.

• Axle load spectrum data are required where

cementitious bases are used for evaluating the fatigue damage of such bases for heavy traffic.

• Assessment of the present day average traffic should

be based on seven-day-24-hour count made. • If stage construction is adopted, thickness of granular

layer should be provided for the full design period.

15

Page 16: Design of Flexible Pavement as Per Irc_37_2012

Design traffic • Following information is needed for

estimating design traffic; • Initial traffic after construction in terms of

number of Commercial Vehicles per day (CVPD). • Traffic growth rate during the design life in

percentage. • Design life in number of years. • Spectrum of axle loads. • Vehicle Damage Factor (VDF). • Distribution of commercial traffic over the

carriageway. 16

Page 17: Design of Flexible Pavement as Per Irc_37_2012

Traffic Growth Rate • Present day traffic has to be projected for the end of

design life at growth rates (‘r’) estimated by studying and analysing the following data:

• Past trends of traffic growth • Demand elasticity of traffic with respect to macro-economic parameters (like GDP or SDP) and expected demand due to specific developments and land use changes likely to take place during design life.

17

Page 18: Design of Flexible Pavement as Per Irc_37_2012

Design Life

• The design life is defined in terms of the cumulative number of standard axles in msa that can be carried before a major strengthening, rehabilitation or capacity augmentation of the pavement is necessary.

• It is recommended that; – pavements for National Highways and State Highways

should be designed for a minimum life of 15 years. – Expressways and Urban Roads may be designed for a

longer life of 20 years – For other categories of roads, a design life of 10 to 15

years may be adopted. 18

Page 19: Design of Flexible Pavement as Per Irc_37_2012

Vehicle Damage Factor • It is defined as equivalent number of standard axles per commercial

vehicle. • The Vehicle Damage Factor (VDF) is a multiplier to convert the

number of commercial vehicles of different axle loads and axle configuration into the number of repetitions of standard axle load of magnitude 80 kN.

• The guidelines use Vehicle Damage Factor (VDF) in estimation of

cumulative msa for thickness design of pavements.

• In case of cemented bases, cumulative damage principle is used for determining fatigue life of cementitious bases for heavy traffic and for that spectrum of axle loads is required.

19

Page 20: Design of Flexible Pavement as Per Irc_37_2012

AXLE LOAD SURVEY

20

Page 21: Design of Flexible Pavement as Per Irc_37_2012

AXLE LOAD SURVEY

21

Page 22: Design of Flexible Pavement as Per Irc_37_2012

AXLE LOAD SURVEY

22

Page 23: Design of Flexible Pavement as Per Irc_37_2012

AXLE LOAD SURVEY

23

Page 24: Design of Flexible Pavement as Per Irc_37_2012

24

Page 25: Design of Flexible Pavement as Per Irc_37_2012

VEHICLE DAMAGE FACTOR (VDF)

AXLE LOAD, t

No. of Axles Total Axles

Eq. FACTOR

Damage Factor

0-2 30 34 64 0.0002 0.0128

2-4 366 291 657 0.0140 9.198

4-6 1412 204 1616 0.1320 213.312

6-8 1362 287 1649 0.5200 857.48

8-10 98 513 611 1.0440 637.884

Page 26: Design of Flexible Pavement as Per Irc_37_2012

VEHICLE DAMAGE FACTOR (VDF)

AXLE LOAD, t

No. of Axles

Total Axles

Eq. FACTOR

Damage Factor

10-12 8 795 803 03.50 2810.5

12-14 0 804 804 07.16 5756.64

14-16 2 274 276 13.35 3684.6

16-18 2 56 56 23.17 1297.52

18-20 2 17 19 36.50 693.5

Page 27: Design of Flexible Pavement as Per Irc_37_2012

VEHICLE DAMAGE FACTOR (VDF)

VEHICLE DAMAGE FACTOR = 16225 ------- (No. of Veh. Weighed) 3280

= 4.95 (Sample size = 86 %)

AXLE LOAD, t

No. of Axles Total Axles

Eq. FACTOR

Damage Factor

20-22 0 5 5 53 265 Total Damage Factor 16255

Page 28: Design of Flexible Pavement as Per Irc_37_2012

VEHICLE DAMAGE FACTORS

• LCV - 0.259

• 2-Axle Trucks - 4.95

• 3- Axle Trucks - 7.587

• BUS - 1.027

• MULTI-AXLE TRUCKS - 9.535

Page 29: Design of Flexible Pavement as Per Irc_37_2012

INDICATIVE VDF VALUES

Initial Traffic in terms of

CV/PD

Terrain

Plain/Rolling Hilly

0 – 150 1.5 0.5

150 – 1500 3.5 1.5

> 1500 4.5 2.5

Page 30: Design of Flexible Pavement as Per Irc_37_2012

COMPUTATION OF CSA FOR DIFFERENT VEHICLE CLASSES

Veh. N GF,% DF VDF CSA

LCV 500 7 0.75 0.259 0.89

BUS 200 5 0.75 1.03 16.64

2-axle 3000 6 0.75 4.95 94.62

3-axle 500 4 0.75 7.58 20.7

M-axle 200 3 0.75 9.54 0.29

CSA for design life of 15 Yrs. 133.14

Page 31: Design of Flexible Pavement as Per Irc_37_2012

SINGLE LANE ROADS

Total No. of Commercial Vehicles in both Directions TWO-LANE SINGLE CARRIAGEWAY ROADS 75% of total No. of Commercial Vehicles in both

Directions FOUR-LANE SINGLE CARRIAGEWAY ROADS 40% of the total No. of Commercial Vehicles in both

Directions DUAL CARRIAGEWAY ROADS 75% of the No. of Commercial Vehicles in each

Direction

DISTRIBUTION OF TRAFFIC

Page 32: Design of Flexible Pavement as Per Irc_37_2012

Computation of Traffic for Use of Pavement Thickness Design Chart

365 xA[(1+r)n – 1] N = --------------------------- x D x F r N = Cumulative No. of standard axles to be catered for the design in

terms of msa D = Lane distribution factor A = Initial traffic, in the year of completion of construction, in terms

of number of commercial vehicles per day F = Vehicle Damage Factor n = Design life in years r = Annual growth rate of commercial vehicles

Page 33: Design of Flexible Pavement as Per Irc_37_2012

Load equivalency factors

• The equations for computing equivalency factors for single, tandem and tridem axles given below;

33

Page 34: Design of Flexible Pavement as Per Irc_37_2012

Traffic survey

• Sample Size for Axle Load Survey

34

Page 35: Design of Flexible Pavement as Per Irc_37_2012

Subgrade Requirements of CBR for Subgrade

• Subgrade is the top 500 mm of the embankment immediately below the bottom of the pavement.

• Subgrade shall be compacted to a minimum of 97 per cent of laboratory dry density achieved with heavy compaction.

• Select soil forming the subgrade should have a minimum CBR of 8 per cent for roads having traffic of 450 commercial vehicles per day or higher.

• In-situ CBR of the sub grade soil can also be determined from the Dynamic Cone Penetrometer (60° cone) from the following relation ;

Where N = mm/blow

Log10 CBR = 2.465 – 1.12 log10 N 5.

35

Page 36: Design of Flexible Pavement as Per Irc_37_2012

Dry density and moisture content

• Compaction in the field is done at a minimum of 97 per cent of laboratory density at moisture content corresponding to the optimum moisture content.

• As a general practice, the worst field moisture is

simulated by soaking the specimens in water for four days.

36

Page 37: Design of Flexible Pavement as Per Irc_37_2012

Number of tests, design and tolerance

• A minimum of six to eight average CBR values (average of three tests) for each soil type

• The 90th percentile of these values should be

adopted as the design CBR for high volume roads such as Expressways, National Highways and State Highways.

• For other categories of roads, design can be

based on 80th percentile of laboratory CBR values.

37

Page 38: Design of Flexible Pavement as Per Irc_37_2012

Permissible Variation in CBR Value

• The maximum permissible variation within the CBR values of the three specimens

38

Page 39: Design of Flexible Pavement as Per Irc_37_2012

Effective CBR • Where there is significant difference between the

CBRs of the select subgrade and embankment soils, the design should be based on effective CBR.

39

Page 40: Design of Flexible Pavement as Per Irc_37_2012

Resilient Modulus

• The relation between resilient modulus and the effective CBR is given as:

MR (MPa) = 10 * CBR for CBR < 5

= 17.6 * (CBR)0.64 for CBR > 5

Where, MR = Resilient modulus of subgrade soil

40

Page 41: Design of Flexible Pavement as Per Irc_37_2012

Resilient Modulus (ANNEX-VIII) • Determination of resilient modulus, MRgm, by

triaxial test ; r = atmospheric pressure = 100 kPa K1, K2 and K3 are experimental test constant

41

Page 42: Design of Flexible Pavement as Per Irc_37_2012

Principles of Pavement Design

• Different Layers of a Flexible Pavement

42

Page 43: Design of Flexible Pavement as Per Irc_37_2012

Fatigue

• With every load repetition, the tensile strain developed at the bottom of the bituminous layer develops micro cracks, which go on widening and expanding ,this phenomenon is called fatigue.

• Cracking in 20 per cent area has been

considered for traffic up to 30 msa and 10 per cent for traffic beyond that.

43

Page 44: Design of Flexible Pavement as Per Irc_37_2012

Fatigue Model • Two fatigue equations were fitted:

Where; Nf = fatigue life in number of standard axles εt = Maximum Tensile strain at the bottom of the bituminous layer MR = resilient modulus of the bituminous layer.

• This equation is recommended for use for traffic upto 30 msa where normal bituminous mixes with VG 30 bitumen can be used.

44

Page 45: Design of Flexible Pavement as Per Irc_37_2012

Influence of Air Voids • A factor ‘C’ to be introduced in fatigue models to take

into account the effect of air voids (Va) and volume of bitumen (Vb), which is given by the following relationships :

• This equation is recommended for use for traffic greater

than 30 msa where richer bituminous mixes with stiffer VG 40 binder should be used.

45

Page 46: Design of Flexible Pavement as Per Irc_37_2012

Rutting

• Rutting is the permanent deformation in pavement usually occurring longitudinally along the wheel path.

• The limiting rutting is recommended as 20mm

in 20 per cent of the length for design traffic up to 30 msa and 10 per cent of the length for the design traffic beyond.

46

Page 47: Design of Flexible Pavement as Per Irc_37_2012

Rutting model • Two rutting equations were fitted:

Where,

N = Number of cumulative standard axles, and εv = Vertical strain in the subgrade

• Rutting in the bituminous layers also occurs due to the secondary compaction and shear deformation apart from that in the subgrade.

47

Page 48: Design of Flexible Pavement as Per Irc_37_2012

Cementitious Sub-base and Base

• Cementitious materials normally crack due to shrinkage and temperature changes even without pavement being loaded

• Elastic Modulus (E) recommended for design is much

lower than their respective laboratory value obtained from unconfined compression test

48

Page 49: Design of Flexible Pavement as Per Irc_37_2012

Fatigue of cement bases • The treatment of fatigue cracking of cement

treated layers is recommended at two levels. • A. Fatigue life in terms of standard axles

49

Page 50: Design of Flexible Pavement as Per Irc_37_2012

Fatigue of Cement Bases B. Fatigue Equation for Cumulative Damage analysis

• The fatigue criterion is considered satisfied if Σ(Ni/Nfi)

is less than 1, where Ni is the actual number of axles of axle load of class i. 50

Page 51: Design of Flexible Pavement as Per Irc_37_2012

PAVEMENT COMPOSITION

• Different Layers of Bituminous Pavement

51

Page 52: Design of Flexible Pavement as Per Irc_37_2012

Pavement Composition

• Sub-base and the base layer can be unbound (e.g. granular) or chemical stabilized with stabilizers such as cement, lime, flyash and other cementitious stabilizers.

• The sub-base layer serves three functions • to protect the subgrade from overstressing • to provide a platform for the construction traffic • to serve as drainage and filter layer

52

Page 53: Design of Flexible Pavement as Per Irc_37_2012

Sub-base layer 1. Unbound sub-base layer

• When the sub-base material consists of combination of materials, mixing should be done mechanically

• Should have liquid limit and plasticity index of not

more than 25 and 6 respectively

• Fines passing 0.075 mm should be less than 2 per cent

• Sub-base should be composed of two layers, the lower layer forms the separation/filter layer and the upper GSB forms the drainage layer

53

Page 54: Design of Flexible Pavement as Per Irc_37_2012

Unbound sub-base layer • Strength parameter

The relevant design parameter for granular sub-base is resilient modulus (MR), which is given by the following equation:

Where,

h = thickness of sub-base layer in mm

54

Page 55: Design of Flexible Pavement as Per Irc_37_2012

Sub-base layer 2. Bound sub-base layer

• Drainage layer of the sub-base may consist of coarse graded aggregates bound with about 2 per cent cement while retaining the permeability.

• Drainage and separation layers are essential when

water is likely to enter into pavements from the shoulder, median or through the cracks in surface layer.

55

Page 56: Design of Flexible Pavement as Per Irc_37_2012

Bound Sub-base Layer • Strength Parameter

• In case of cementitious granular sub-base having a 7-day UCS of 1.5 to 3 MPa, the laboratory based E value (AUSTROADS) is given by the following equation:

Where, UCS = 28 day strength of the cementitious granular material

• If the stabilized soil sub-bases have 7-day UCS values in the

range 0.75 to 1.5 MPa, the recommended E value for design is 400 MPa with Poisson’s ratio of 0.25.

56

Page 57: Design of Flexible Pavement as Per Irc_37_2012

Base Layer 1. Unbound base layer

• When both sub-base and the base layers are made up of unbound granular layers, the composite resilient modulus of the granular sub-base and the base is given as:

• Where h = thickness of granular sub-base and base,

mm

• Poisson’s ratio of granular bases and sub-bases is recommended as 0.35.

57

Page 58: Design of Flexible Pavement as Per Irc_37_2012

Base Layer 2. Cementitious bases

• Cemented base layers may consist of aggregates or soils or both stabilized with chemical stabilizers such as cement, lime, lime-flyash or other stabilizers which are required to give a minimum strength of 4.5 to 7 MPa in 7/28 days.

• Strength parameter • The following default values of modulus of rupture are

recommended for cementitious bases (MEPDG). • Cementitious stabilized aggregates – 1.40 MPa • Lime-flyash-soil – 1.05 MPa • Soil cement – 0.70 MPa • Poisson’s ration of the cemented layers may be

taken as 0.25. 58

Page 59: Design of Flexible Pavement as Per Irc_37_2012

Base Layer 3. Bitumen emulsion/foamed bitumen treated aggregates/reclaimed asphalt base

• If the base is made up of fresh aggregates or milled material from reclaimed asphalt pavements treated with foamed bitumen or bitumen emulsion, the value of resilient modulus of the material may be taken as 600 MPa

• Foamed Bitumen treated material has a minimum value of

100 kPa in wet condition and 225 kPa in dry condition under a rate of loading of 50 mm/minute (59) at 25°C.

• Poisson’s ratio is recommended as 0.35.

59

Page 60: Design of Flexible Pavement as Per Irc_37_2012

Bituminous layers • Higher viscosity of bituminous binders viz., using

higher viscosity grade bitumen or modified bitumen - to improve both fatigue and rutting behaviour of mixes as compared to mixes with normal bitumen.

• Fatigue life can be further improved by reducing the

air voids and increasing the volume of binder (both modified and unmodified).

• Temperature upto 35°C the Poisson’s ratio is 0.35 • For higher temperature the Poisson’s ratio is 0.50

60

Page 61: Design of Flexible Pavement as Per Irc_37_2012

Resilient Modulus of Bituminous Mixes, MPa

61

Page 62: Design of Flexible Pavement as Per Irc_37_2012

PAVEMENT DESIGN CATALOGUES

Five combinations are as under: 1. Granular Base and Granular Sub base. 2. Cementitious Base and Cementitious Sub base with

aggregate interlayer for crack relief. Upper 100 mm of the cementitious sub base is the drainage layer

3. Cementitious base and sub base with SAMI at the interface of base and the bituminous layer.

4. Foamed bitumen/bitumen emulsion treated RAP or fresh aggregates over 250 mm Cementitious sub base

5. Cementitious base and granular sub base with crack relief layer of aggregate layer above the cementitious base.

62

Page 63: Design of Flexible Pavement as Per Irc_37_2012

Design Catalog-Choice1 • Granular Base and Granular Sub base

63

Page 64: Design of Flexible Pavement as Per Irc_37_2012

Sample Design template- Choice1

64

Page 65: Design of Flexible Pavement as Per Irc_37_2012

Sample design-Choice1

65

Page 66: Design of Flexible Pavement as Per Irc_37_2012

Design Catalog-Choice2 • Bituminous Pavements with Cemented Base and

Cemented Sub base with Crack Relief Interlayer of Aggregate

66

Page 67: Design of Flexible Pavement as Per Irc_37_2012

Sample Design template- Choice2

67

Page 68: Design of Flexible Pavement as Per Irc_37_2012

Sample design-Choice2

68

Page 69: Design of Flexible Pavement as Per Irc_37_2012

Design Catalog-Choice3 • Cemented Base and Cemented Sub base with Sami at

the Interface of Cemented Base and the Bituminous Layer

69

Page 70: Design of Flexible Pavement as Per Irc_37_2012

Sample Design template- Choice3

70

Page 71: Design of Flexible Pavement as Per Irc_37_2012

Sample design-Choice3

71

Page 72: Design of Flexible Pavement as Per Irc_37_2012

Design Catalog-Choice4

• Foamed Bitumen/Bitumen Emulsion Treated Rap/Aggregates Over Cemented Sub base

72

Page 73: Design of Flexible Pavement as Per Irc_37_2012

Sample Design template- Choice4

73

Page 74: Design of Flexible Pavement as Per Irc_37_2012

Sample design-Choice4

74

Page 75: Design of Flexible Pavement as Per Irc_37_2012

Design Catalog-Choice5 • Cemented Base and Granular Sub base with Crack

Relief Layer of Aggregate Interlayer Above the Cemented Base

75

Page 76: Design of Flexible Pavement as Per Irc_37_2012

Sample Design template- Choice5

76

Page 77: Design of Flexible Pavement as Per Irc_37_2012

Sample design-Choice5

77

Page 78: Design of Flexible Pavement as Per Irc_37_2012

Design Catalog-Choice6

• Other Pavement Compositions-Bituminous Surfacing with Wet Mix Macadam Base and Cemented Sub-base

78

Page 79: Design of Flexible Pavement as Per Irc_37_2012

Sample design-Choice6

79

Page 80: Design of Flexible Pavement as Per Irc_37_2012

INTERNAL DRAINAGE IN PAVEMENT

• Drainage measures are important when the road is in cutting or built on low permeability soil or situated in heavy rainfall/snow fall area.

• The difference between the bottom of subgrade level and

the level of water table/high flood level should, generally, not be less than 1.0 m or 0.6 m in case of existing roads.

• When the traditional granular construction is provided on a

relatively low permeability subgrade, the granular sub-base should be extended over the entire formation width in order to drain the pavement structural section.

80

Page 81: Design of Flexible Pavement as Per Irc_37_2012

Filter layer • The filter layer must have enough permeability to

prevent development of undesirable pore water pressure

• The filter/separation layer should satisfy the following criteria:

81

Page 82: Design of Flexible Pavement as Per Irc_37_2012

Shoulder

• Pavement along a Slope

82

Page 83: Design of Flexible Pavement as Per Irc_37_2012

Drainage Requirement • The coarse graded granular sub-base (62) would have

the necessary permeability of 300 m/day with per cent fines passing 0.075 mm sieve less than 2 per cent.

• If the surface of the open graded drainage layer is likely

to be disturbed by the construction traffic the layer may be treated with 2 per cent cement/2-2.5 per cent of bituminous emulsion without any significant loss of permeability.

• It was found that the infiltration rate through the

cracks was 0.223 m3/day/m and this value can be used for design of drainage layer in the absence of field data.

83

Page 84: Design of Flexible Pavement as Per Irc_37_2012

Worked-out Example- Illustrating the Design Method

• Bituminous pavements with untreated granular layer

84

Page 85: Design of Flexible Pavement as Per Irc_37_2012

Calculations

85

Page 86: Design of Flexible Pavement as Per Irc_37_2012

86

THANK YOU