List of Figures

List of Tables

 Table 1:
Management Summary

This deliverable called D3.4 has the purpose to summarize the overview of infrastructure design criteria and legislation with the emphasis on roads, bridges and tunnels.

For pavements, there is no European design criteria. So the national design criteria for various European countries have been listed and explained. The parameters involved in these design criteria and to be chosen are parameters linked to the materials or structures, to climatic actions applied on the pavement all over the year and traffic. For traffic, the effect of a traffic or a given vehicle is evaluated through comparison with the effect of equivalent axle loads.

For bridges, European design criteria exist: the Eurocodes (Eurocode 0, Eurocode 1, … to Eurocode 8). These building codes are applicable all over Europe; in fact, their application is mandatory since 2010. Only partial, safety coefficients (α-factors) vary from one country to another. These factors can be found in the respective national appendixes, some of them are summarized here.

As for tunnels, it has been shown in report D3.2 that only the horizontal geometry of tunnels is designed according to traffic, as would be a road and its pavement. Therefore, the issue with traffic in tunnels is a problem of parking lots and management of truck passing's through the tunnels.

The design criteria for pavements and bridges can now be used for the definition of Smart Infrastructure Access Policy (task 3.5 of project FALCON).

Introduction

This report called D3.4 is the outcome of an infrastructure design criteria review, with focus on pavements, bridges and tunnels. It follows the deliverable D3.2, which is a catalogue of infrastructure elements in Europe. In both reports, the work has been split by infrastructure types, namely pavements, bridges and tunnels.

As already highlighted in the introduction of D3.2, this organisation of the report in categories of infrastructure elements is commonly used in the assessment of heavy vehicle impact on the road network: development of pavement and bridge design codes (series of Eurocodes, from Eurocode 0 to Eurocode 9), European studies on longer and/or heavier trucks ( [START_REF] En | Eurocode 0 -Basis of structural design[END_REF], [2] or [3]), and European research projects on the development of new type of trucks ( [4] or [START_REF] Tunnels | [END_REF]).

The design criteria that are explained and listed here deal with material parameters, environmental parameters and description of expected traffic loads. For each of the above-mentioned infrastructure elements, this information is given.

In chapter 2, assumptions made for this work are detailed. Then, chapters 3, 4 and 5 deal with the design criteria of respectively pavements, bridges and tunnels, the design of road geometry being dealt with in report 3.3.

Assumptions

Present design codes

As in report D3.2, only infrastructure designed with existing standards and codes are considered.

Focus on design parameters linked with traffic

Design criteria involve material characteristics (for example elastic modulus for the bituminous material in bituminous pavements), environmental influence (seasonal changes, target temperature) or design traffic.

While discussing all these design parameters in this report, we will focus on traffic design criteria by explaining their definition. Indeed, design traffic (meaning the traffic for which the infrastructure element) has been designed is another concept than assessing the effect of a given vehicle.

In FALCON, the work will be mainly focussed on assessing and comparing the effect of individual vehicles.

International (European) and national design criteria

This report is supposed deal with international, European-level design criteria and national ones.

But for pavements, there exist no European design criteria.

For bridges on the other hand, design criteria are European, as indicated by the series of Eurocodes which application is mandatory since 2010; for application, national partial safety factors, as indicated in the various national annexes, are applied and these are specific to the country.

Pavements

Pavement design principles

Most countries use so-called mechanistic-empirical pavement design methods, which are similar In their principle. They are based on two main steps:  A calculation of the stress-strain response of the pavement to a reference load (generally defined as the "equivalent standard axle load", or ESAL), using a multi-layer linear elastic pavement model.

 The application of several pavement design criteria, which allow to calculate the number of standard axle loads (ESALS) which can be supported by the pavement before failure (also called the pavement life), in function of the maximum level of stress or strain calculated in each pavement layer. The design criteria used depend on the type of pavement, and on the nature of the pavement materials:

 For low traffic pavements, the design criterion is generally based on the maximum level of the vertical compressive strain at the top of the subgrade z. This criterion is defined as a "rutting criterion" of the subgrade, because the level of permanent deformations in the subgrade is strongly related with z  For thick bituminous pavements, there are generally two design criteria:

o The first design criterion is based on the maximum tensile strain at the bottom of the bituminous layers, t. This criterion is defined as a "fatigue criterion" of the bituminous layers, because it relates the fatigue life of the bituminous material with the maximum tensile strain at the bottom of the bituminous layers, t.

o The second criterion is the same rutting criterion of the subgrade, based on the maximum vertical strain z. at the top of the subgrade.

 For pavements with layers treated with hydraulic binders, there are two design criteria: o The first design criterion is based on the maximum tensile stress at the bottom of the bituminous treated layers, t. This criterion is a defined as a "fatigue criterion" of the layers treated with hydraulic binders, because it relates the fatigue life of the hydraulic bound material with the maximum tensile stress t.  A factor of safety, (called risk coefficient in the French method), which can be used to adjust the number of loads to failure. For example, in France, a low probability of failure is considered in the design for heavy traffic roads, on which a high level of service must be ensured.

3.1.1. Traffic description.

Traffic classes

For classification of roads, and for design, traffic is generally described by traffic classes, which represent the daily mean number of heavy vehicles (HV) passing on the road.

In France, heavy vehicles are defined as vehicles with a payload of 5 tons and more, and 8 traffic classes are defined, as described in Table 1.

Table 1: Definition of traffic classes, in daily number of heavy vehicles, in the French pavement design method.

These traffic classes cover a wide range, from very low numbers of HV/day (less than 25) to very high numbers ( > 5000 HV / day). They correspond approximately to 3 ranges:

 Classes T5, T4, T3 (0 to 150 HV / day) correspond to low traffic roads (secondary roads),  Classes T2 and T1 correspond to medium traffic roads,  Classes T0 and more correspond to major roads, with heavy traffic (National roads, motorways).

In Sweden, the design traffic is determined with use of B-WIM (Bridge Weigh-in-Motion) systems which monitor the traffic in a detailed way. Indeed, each truck passing the B-WIM system is recorded, in terms of time of passage, axle loads, distance between axles… This gives an exhaustive view on the traffic at this given location.

In Belgium (Flanders), traffic is described in terms of construction classes, which are linked to the number of equivalent 100-kN standard axle loads, see Table 2. These construction classes are then called B1 to B10. This number of equivalent 100-kN standard axle loads is determined based on the expected traffic on the road structure to be designed.

Equivalent traffic used for design

For design calculations, the number of heavy vehicles corresponding to the real traffic (with variable vehicle types, and variable axle loads) is generally converted into a number of Equivalent Standard Axle Loads NE.

In France, for example, the reference axle is a dual wheel, isolated axle, loaded at 130 kN (maximum legal axle weight). The number of heavy vehicles N is converted into a number of standard axles NE using a mean Coefficient of Aggressiveness of the vehicles CAM, using the following equation:

NE = N x CAM
Therefore, the mean coefficient of aggressiveness CAM represents the mean fatigue damage caused by one heavy vehicle, compared with the damage caused by the standard axle load. The value of CAM can be calculated using the real axle load distributions of the real traffic, and depends:

 On the axle and vehicle load distributions  But also on the type of pavement structure (because the damage caused by one vehicle depends on the characteristics of the pavement structure and of the pavement materials). The concept of coefficient of aggressiveness CAM can represent a practical indicator for describing the impact of a given vehicle on a given type of pavement, and for comparing the relative aggressiveness of different heavy vehicles.

Assessment of individual vehicles

For fatigue of concrete pavements, the coefficient of fatigue aggressiveness CAv of a vehicle v is defined by:

ref v v d d CA  (1)
where:

 dv is the fatigue damage produced by the heavy vehicle v (as defined in report D3.2),  dref is the fatigue damage due to a reference load (for example a 5-axle 40-ton standard vehicle) used as reference for comparison with new vehicle concepts developed in the project.

For rutting (bituminous pavements), COST 334 Study "Effects of Wide Single Tyres and Dual Tyres", published in 2001 [START_REF]Lay bys and protection against lateral obstacles -Current practices in Europe[END_REF] has defined a so-called tyre configuration factor (TCF). The TCF value relates the pavement wear of a given tyre to the pavement wear of a reference tyre. Within different axle categories (steered, driven or towed axle), there is a wide range of TCF values which reflects the fact that there are more and less pavement damaging tyres and tyre configurations as options possible.

The damage contribution of a single passage of an axle is expressed by the so-called axle wear factor (AWF). This AWF is a dimensionless factor relating the damage contribution of a specific tyre at a given axle load to the damage contribution of a single passage of the reference tyre(s) with a reference axle load. Reference for the AWF means a passage of a 10-t axle equipped with 295/80R22,5 tyres mounted as twin assembly. To adjust the axle load effect on pavement damage a load equivalency factor (LEF) was introduced in the COST 334 formulas. If only asphalt roads in the primary road network are considered and only primary rutting as damage cause is taken into account, the pavement damage increases with the power of 2 by axle load.

The sum of all axle wear factors of a truck combination are called vehicle wear factor (VWF). For equal TCF and LEF the higher the number of axles the higher is the vehicle wear factor, but on the other hand the higher the payload can be.

For the same gross vehicle weight, the higher the number of axles the lower is the axle wear factor for each axle and also the vehicle wear factor as sum of all axles.

The performance of a vehicle regarding pavement wear can be calculated by relating the payload to the vehicle wear factor. This performance indicator: VWF / Payload is abbreviated in the following as PER (vehicle road wear performance). It can be used for relative comparisons of aggressiveness of different vehicles.

The following formulas are generally used for calculation:

• Load Equivalence Factor (dimensionless):

LEF= (axle load / 10)²

• Tyre Configuration Factor (dimensionless):

TCF: (tyre width/470) -1,65 x (tyre diameter /1059) -1,12

• Axle Wear Factor (dimensionless):

AWF=TCF x LEF (4)
• Vehicle Wear Factor (dimensionless):

VWF=SUM (AWF) (5)
 Vehicle Road Wear Performance (dimensionless): PER: VWF / Payload (6)

Other design parameters

Material characteristics

For bituminous materials and materials treated with hydraulic binders (as concrete pavements), the parameters to be chosen are:

 E : elastic modulus,  ν: Poisson ratio,  𝜀 6 : limit tensile strain leading to failure for 10 6 cycles,  b: exponent of the fatigue law.

Environmental input

Target temperatures have to be chosen. These are given by national regulations which link the geographic position of the road with the target temperature (and/or seasonal changes) to be considered.

Swedish example

The country (Sweden) is divided into five climate zones (basically from south to north). The year is divided into six seasons (winter, winter-thawing, spring thawing, late spring, summer and autumn) and represented as number of days for each season (giving a sum of 365). The material parameters (the stiffness) for the different layers are affected based on the seasons and climate zone. The stiffness values are given in tables (for each climate zone and season) for many materials. They are also incorporated in the design software (PMS Objekt). All calculations are 2-D Axisymmetric calculations with a circular contact area loading.

All traffic volume is transformed to standard axles (ESAL´s). In Sweden, one ESAL is defined as 100 kN dual tyre axle with 300 mm spacing between the wheels and tyre pressure 800 kPa. The amount of traffic is frequently based on BWIM measurements (usually during a 7-day period) but for many project BWIM measurements are lacking and some predictions are done based on other similar roads.

The BWIM measurements are processed to represent a B-factor (similar to truck factor in the US). The B-factor (usually in the range 0.8 -1.3) is the average load equivalency factor of each heavy vehicle and is calculated based on the fourth power law. The expected AADT and the % share/portion of heavy traffic and traffic growth is used to calculate the total number of ESAL´s (called N100) for the design period.

The accumulation for the design criteria is based on Miner´s rule where calculation is only done once for each season and then summed up for the traffic volume for each season, each year, and finally for the total design period.

Review of design criteria for pavements

The situation for Europe and various European countries is summarized in Table 3. strain at the bottom of the asphalt base course is calculated for each of the 143 loading cases (resulting from 11 load classes for consideration of truck traffic times 13 temperature distributions).

For each of the 143 calculated strain values ε, the maximum allowed number of load cycles is calculated. Miner´s law is used to estimate accumulation of fatigue damage.

Resistance to fatigue macro cracking is given as long as the sum of the partial damages is less than or equal to one.

the design criterion is the stress at the base of the tensile-stressed layers.

"Alternative 'analytical' pavement design"

The following fatigue considerations must be taken into account:

•surface initiated fatigue cracking in thicker/long-life pavements

•fatigue resistance of asphalt materials

•excessive stress/strain (combination of magnitude and number of load applications) causing fatigue cracking (typically at the bottom of the base layer) of the asphalt, HBM or concrete material;

for asphalt or concrete pavements.

For asphalt pavements, the law takes into account: the deformation at the bottom of the asphalt layers.

For concrete pavements, the law takes into account: deflection, thermal deformation and failure constraints.

Rutting criteria

The vertical compressive strain is calculated at the top of the subgrade for each season under an ESAL loading and layers may be linked to trafficking by slow moving commercial vehicles (e.g. in a contraflow), especially on uphill lengths and when pavement temperatures are high, relatively soon after the materials have been laid (e.g. after major maintenance in the summer). Therefore, such situations should be avoided.

Where Hot Rolled Asphalt (HRA) (if permitted) is used, Clause 943 of the Specification (MCHW1) sets out the requirements for performance based surfacing.

"Alternative 'analytical' pavement design" 4.6 deformation resistance of asphalt materials only, which governs rutting behaviour must be considered when designing pavements.

Bridges

Methodology for bridge design or assessment

As stated in deliverable D3.2, the structural behaviour of bridges can be summarized by their influence lines. Therefore bridges are designed or assessed by calculating the convolution of the axles loads of the vehicle/traffic/load model with the influence line of the studied effect. Some examples of influence lines are given in Figure 1, where one can see the influence lines for bending moment at first mid-span and middle support, for a 2-span simply supported bridge with both span length equal to 50 metres. For bridge design against exterior actions (traffic but also climatic actions, like snow, water, …), one calculates the stresses induced in the structure by the load models given by the European standards. These standards are the Eurocodes:

 Eurocode 0 [START_REF] En | Eurocode 0 -Basis of structural design[END_REF] gives the general framework of bridge design in Europe,  Eurocode 1 gives the actions to be considered, and more particularly Eurocode 1 -Part 2 [2] gives the traffic actions to be used,  Eurocodes 2 to 9 explain the methodology to verify that the stresses induced in the structure by the actions chosen in the step before are consistent with convenient structural and material behaviour. For example, Eurocode 3 [3] details how to verify that the stresses induced in the steel structure are not prone to fatigue problems.

These standards are common all over Europe. Only the adjustment factors, called α-factors, may differ from one country to another. That is why each Eurocode i is accompanied by a document called "Eurocode I -National Annex" (specific to each country) which specifies the numerical values of these factors. For more information, [4] summarizes many issues around Eurocodes.

But, if one wants to compare the effect of various vehicles, the methodology is to compute the effects of these vehicles and compare them in terms of extreme loads and fatigue. This methodology has been used during the background works of the US Bridge Formula and the European studies on longer and/or heavier trucks.

In this case, as the evaluation is done in comparison, the influence lines can be theoretical ones. This was also the methodology used during the background works of Eurocode 1.

The following table list the design criteria (α-factors) around Europe, as the abnormal load models.

Traffic load models in Eurocode 1

Load models of Eurocode 1 are only applicable for loaded length inferior to 200 metres. In many countries, this rule is loosened in the National Appendix to span length inferior to 200 metres. Above these values, the load models to be applied have to be defined for each project particularly.

These models have been calibrated carefully in the 1980s, based on traffic recordings of 1986 on highway A6 near Auxerre (France). These models incorporate:

 Impact factor (dynamical behaviour) corresponding to a medium road rugosity (category C in ISO8608:1995, older pavement not maintained),  Additional impact factor for spans less than 15 metres (corresponding for example to holes in the pavement),  Covers both the situation where the traffic is flowing with dynamic behaviour a traffic jam of heavy vehicles on the structure.

The characteristic values have been determined statistically for a return period of 1000 years (or probability of exceedance of 5% in 50 years).

Other assumptions have been made:

 The width of lanes have been taken equal to 3.00 metres (instead of physical 3.50metres for roads).  Any lateral positions of the lanes is possible (in order to cater for any unsuspected situation, like tightening of lanes or works).

Several load models are proposed: originally, LM1 was supposed to be for very heavy truck traffic that is often congested (for example, highways entering cities), and LM2 for more conventional highways. Nevertheless, with the increase in volume and weight of traffic, it is now advised to use LM1 for every highway.  Load Model for abnormal loads : A set of assemblies of axle loads representing special vehicles (e.g. for industrial transport) which can travel on routes permitted for abnormal loads. It is intended for general and local verifications. This load model is defined in the national appendix, and is therefore specific to each country.

To finish, we should mention that Eurocode 1 also defines rules for dispersal of concentrated loads (for example through pavement and a concrete slab), and horizontal forces (braking and acceleration forces, and centrifugal and other transverse forces).

𝛼 𝑄1 = 1 𝛼 𝑄𝑖 = 1, ∀𝑖 ≥ 2 𝛼 𝑞1 = 1 𝛼 𝑞1 = 1.2, ∀𝑖 ≥ 2 𝛼 𝑞𝑟 = 1.

Use of real traffic data

Yes, only for amount of vehicles. See Table 4 Yes

Tunnels

It has been shown in deliverable D3.2 that only the horizontal geometry of tunnels is designed according to traffic, as would be a road and its pavement, outside a tunnel. Therefore, if one assesses the road geometry and the pavement before and after un tunnel, the results are valid also for the tunnel.

Therefore, the issue with traffic in tunnels is a problem of parking lots and management of truck passing's through the tunnels.

More precisely, the tunnel managers do have basically two ways for dealing with heavy vehicles, especially after the fire at Mont Blanc tunnel:

 They can limit the number of trucks in the tunnels, and therefore the calorific volume, (reduction of risk),  They can decide to let all heavy vehicles pass through the tunnel at a time timeslot, when there are no other vehicles (reduction of consequences).

There are actually no design guidelines for parking lots in tunnels, but this type of infrastructure is a big issue presently [START_REF]Lay bys and protection against lateral obstacles -Current practices in Europe[END_REF] as there have been very important accidents. It is telling to cite the one in the tunnel de la Sierre where a bus has had an impact with the end-wall of such a lay-by on the 13 th March 2012. 28 people out of 52 (22 children) have been killed. Therefore the general principle is to include enough drive lanes in the tunnel, so that traffic can flow by even if a vehicle is stopped on the carriage way.

Load model

The following is extracted from the UK national annex to [START_REF] En | Eurocode 1: Actions on structures -Part 2: Traffic loads on bridges[END_REF]EN -2-2003

Figure 1 :

 1 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 2 :

 2 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 3 :

 3 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 4 :

 4 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 5 :

 5 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 6 :

 6 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 7 :

 7 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 8 :

 8 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 9 :

 9 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 10 :

 10 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 12 :

 12 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 13 :

 13 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 14 :

 14 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

Figure 15 :

 15 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres. ..................................................................................................................................................Figure 2: Load model LM1. ...................................................................................................................Figure 3: Load Model LM2. ...................................................................................................................Figure 4: Convoy of type C1. .................................................................................................................Figure 5: Convoy of type C2. .................................................................................................................Figure 6: Convoy of type D.2 F.1 ...........................................................................................................Figure 7: Convoy of type D.2 F.2 ...........................................................................................................Figure 8: Convoy D.3 F.1 .......................................................................................................................Figure 9: Convoy D.3 F.2 .......................................................................................................................Figure 10: Convoy of type E.2 F.1 ......................................................................................................... Figure 11: Convoy E.2 F.2 ......................................................................................................................Figure 12: Convoy of type E.3 F.1 .........................................................................................................Figure 13: Convoy of type E.3 F.2 .........................................................................................................Figure 14: Military convoys MC80 (on the left) and MC120 (on the right). .........................................Figure 15: Military loads from a vehicle Leclerc. ..................................................................................

  Definition of traffic classes, in daily number of heavy vehicles, in the French pavement design method. ..................................................................................................................................... Table 2: Construction class, according to the number of equivalent 100-kN standard loads. ............. Table 3: Review of European pavement design criteria. ...................................................................... Table 4: Correction factors related to the amount of heavy vehicles per annum per lane (The Netherlands) ......................................................................................................................................... or

o

  the second criterion is again the rutting criterion of the subgrade, based on the maximum vertical strain z at the top of the subgrade All mechanistic pavement design methods are based on several main parameters: The traffic level and the service life, which can be converted into a number of Equivalent Standard Axle Loads (ESAL) that the pavement must support,  The bearing capacity of the subgrade (elastic modulus), which is taken into account in the pavement model and the mechanical properties of the pavement materials (elastic modulus, Poisson ratio, fatigue properties…),  The climate, and in particular the temperature (single value, or several climatic periods) considered for the bituminous materials, which have a strongly temperature-dependent behavior,

Wheel

  unbound layers. Equivalent tensile stress in the load axle from the surface until the boundary between the asphalt binder course and the asphalt base course Limitation of the vertical strain on the top of the concerned courses (subgrade and HD 26/06 3.3 (Bitumen bound materials) Early age deformation (rutting) in surface and binder course Limitation of the vertical permanent deformation at the top of each of the concerned layers.

Figure 1 :

 1 Figure 1: Example of influence line of bending moment at first mid-span (x=25 metres) and on support (x=50 metres), for a 2-span simply supported bridge, with both span length equal to 50 metres.



  Load Model 1 (LM1) : Concentrated and uniformly distributed loads, which cover most of the effects of the traffic of lorries and cars. This model should be used for general and local verifications, see Figure 2. The numbers of the lanes are defined: The lane giving the most unfavourable effect is numbered Lane Number 1, the lane giving the second most unfavourable effect is numbered Lane Number 2, etc. or Version 1.0.0 -24 August 2018 Page 21 of 42

Figure 2 :

 2 Figure 2: Load model LM1.

Figure 3 :

 3 Figure 3: Load Model LM2.

Figure 6 : 1 Figure 7 : 2 Figure 8 : 1 Figure 9 : 2 Figure 10 : 1 Figure 11 : 2 Figure 12 :

 6172819210111212 Figure 6: Convoy of type D.2 F.1

Figure 13 : 2 Figure 14 :

 13214 Figure 13: Convoy of type E.3 F.2

Figure 15 :

 15 Figure 15: Military loads from a vehicle Leclerc.

Table 2 :

 2 Construction class, according to the number of equivalent 100-kN standard loads.

	Cumulative	64 -	32 -	16 -	8 -	4 -8 2 -4 1 -2 0.5 -1 0.25 -	0.125 -
	traffic (in	128	64	32	16	0.5	0.250
	million of
	vehicles)

Table 3 :

 3 Review of European pavement design criteria.

	Pavements	Sweden	Norway	Netherlands	Germany	France (source: [9])	UK	Belgium
							HD 26/06
							2.27 For trunk roads
							including motorways where
							design traffic is heavy in
							relation to the capacity of
							the layout, and in all cases
							where Whole Life Value is
					30 years as a rule, according to		taken into account, 40 year
					German pavement design		designs must be included as
	Design period	20 years	20 years (Design Guide "N200 Vegbygging")	20 years	catalogue RStO 12 (guidelines for the standardization of according to RDO Asphalt 09 pavement structures), also	20 years	permitted options. 20 year designs may be appropriate schemes or for major for less heavily trafficked	20 or 30 years
					(guidelines for the analytical		maintenance where other
					design of asphalt pavement		site constraints apply. In
					structures)		England, a 'Departure from
							Standard' must be obtained
							from the Overseeing
							Organisation for use of 20
							year designs. The design
							traffic in msa should be
							obtained from HD 24 (DMRB
							7.2.1).
	Description of ESAL	100 kN axle loading on dual tyres with 800 kPa tyre pressure	Number of equivalent 10 tonne axle loads per lane. Calculated using annual daily heavy vehicle traffic (AADT_Heavy), number of lanes, expected annual traffic growth, length of design period (years), average number of vehicle and axles per heavy	SAL = 100 kN load on axle with SPDM dual wheel sets ESAL = equivalent number of SAL's computed from actual traffic loading data	RStO 12: weighted number of RDO Asphalt 09: equivalent 10-tonnes axle load repetitions in the design period (in the most heavily loaded lanes). Calculated using annual average daily heavy traffic (AADT_Heavy), design period in years, load configuration factor, average number of axles per heavy vehicle, lane factor, lane width factor, slope increase of heavy traffic factor und average annual	cumulative number (NE) of passages of reference axle loads (isolated axle with 130-kN dual wheels)	HD 24/06 A 'standard axle' is defined as an axle exerting or applying a force of 80kN. The fourth power law is used to equate the wear caused by each vehicle type to the number of equivalent standard axles, to give the vehicle. structural wear factor of that	Flanders: Equivalent 100 kN axle loads computed from expected number of lorries, taking into account wander, number of lanes, traffic speed, type of road, type of tyres. Wallonia: number of lorries, spectrum of axle loads, average number of axles per lorry.

Version 1.0.0 -24 August 2018

Real traffic data

Conclusion 7. References

The abnormal loads that may be used for designing of road infrastructure can be found here [8]: