13
RECOMMENDATION OF AFTES N°GT38R1A1 M 312 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013 Design, dimensioning and execution of precast steel fibre reinforced concrete arch segments AFTES welcomes all suggestions relating to this text. Text presented by Pascal GUEDON (Arcadis) Working Group leader With the collaboration of: Philippe AUTUORI (Bouygues) - Rémi BILLANGEON (Spie Batignolles) - Bruno DARDARD (SNCF Ingénierie) - Benoit de RIVAZ (Bekaert) Gabriel DURAND (Argotech) - Lionel LINGER (Vinci) - Patrick PELTIER (Stradal) - François PETIT (Vinci) - Pierre ROSSI (IFSTTAR) - Bernard RUBY (RATP) Jean-François TESSIER (SIAAP) - François TOUTLEMONDE (IFSTTAR) - Marc VANDEWALLE (Université Polytechnique de Catalogne) Thanks for re-reading to: Daniel BRUNET (Expert) - Michel DEFFAYET (CETU) - Sylvie GIULIANI-LEONARDI (Vinci) - Catherine LARIVE (CETU) - Jean LAUNAY (Vinci) Michel PRÉ (Setec) - François RENAULT (Vinci) - Loïc THEVENOT (Eiffage) - Hubert TOURNERY (Egis Tunnels) - Jacques TRICLOT (Egis Tunnels) 1 - Overview 313- 2 - Design of SFRC tunnel linings 313- 2.1 - Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .313 2.2 - General design of SFRC linings . . . . . . . . . . . . . . . . . . . . . .313 2.3 - Assembly apparatus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .314 2.4 - Durability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .314 2.4.1 - Fibres do not cross a surface crack . . . . . . . . . . . . . . . .314 2.4.2 - Fibres cross a surface crack . . . . . . . . . . . . . . . . . . . . .315 2.4.3 - Specific instance of mixed structures in which reinforcements consist of reinforced concrete rebars and steel fibres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .315 2.4.4 - Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .315 2.5 - Fire performance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .315 3 - Dimensioning of SFRC arch segments 316- 3.1 - Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .316 3.2 - Procedures for dimensioning SFRC arch segments . . . . . .316 3.3 - Performance criteria for SFRC specifications . . . . . . . . . . .319 3.3.1 - Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .319 3.3.2 - Mechanical characterisation of SFRC . . . . . . . . . . . . . .319 4 - Control and installation 320- 4.1 - Acceptance and storage of fibres . . . . . . . . . . . . . . . . . . . .320 4.1.1 - Acceptance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .320 4.1.2 - Storage of fibres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .321 4.2 - Concrete mixing plant . . . . . . . . . . . . . . . . . . . . . . . . . . . .321 4.2.1 - Component dosing . . . . . . . . . . . . . . . . . . . . . . . . . . . . .321 4.2.2 - Fibre dosing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .321 4.2.3 - Introduction and mixing of fibres . . . . . . . . . . . . . . . . . .322 4.2.4 - Installation of concrete . . . . . . . . . . . . . . . . . . . . . . . . . .322 4.2.5 - Equipment monitoring and control . . . . . . . . . . . . . . . .322 4.2.6 - Concrete suitability tests . . . . . . . . . . . . . . . . . . . . . . . .322 4.3 - Production controls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .323 4.3.1 - Control plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .323 4.3.2 - Conformity criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . .323 5 - References 324-

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Page 1: Design, dimensioning and execution of precast steel fibre ... ukhdRbd.pdf · reinforced concrete (SFRC) for the design, dimensioning and construction of lining rings made of precast

RECOMMENDATION OF AFTES N°GT38R1A1 M

312 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

Design, dimensioning and execution of precast steel fibre reinforced concrete

arch segments

AFTES welcomes all suggestions relating to this text.

Text presented by Pascal GUEDON (Arcadis) Working Group leader

With the collaboration of:Philippe AUTUORI (Bouygues) - Rémi BILLANGEON (Spie Batignolles) - Bruno DARDARD (SNCF Ingénierie) - Benoit de RIVAZ (Bekaert)

Gabriel DURAND (Argotech) - Lionel LINGER (Vinci) - Patrick PELTIER (Stradal) - François PETIT (Vinci) - Pierre ROSSI (IFSTTAR) - Bernard RUBY (RATP)Jean-François TESSIER (SIAAP) - François TOUTLEMONDE (IFSTTAR) - Marc VANDEWALLE (Université Polytechnique de Catalogne)

Thanks for re-reading to:Daniel BRUNET (Expert) - Michel DEFFAYET (CETU) - Sylvie GIULIANI-LEONARDI (Vinci) - Catherine LARIVE (CETU) - Jean LAUNAY (Vinci)

Michel PRÉ (Setec) - François RENAULT (Vinci) - Loïc THEVENOT (Eiffage) - Hubert TOURNERY (Egis Tunnels) - Jacques TRICLOT (Egis Tunnels)

1 - Overview 313-

2 - Design of SFRC tunnel linings 313-

2.1 - Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .313

2.2 - General design of SFRC linings . . . . . . . . . . . . . . . . . . . . . .313

2.3 - Assembly apparatus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .314

2.4 - Durability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3142.4.1 - Fibres do not cross a surface crack . . . . . . . . . . . . . . . .3142.4.2 - Fibres cross a surface crack . . . . . . . . . . . . . . . . . . . . .3152.4.3 - Specific instance of mixed structures in which reinforcements consist of reinforced concrete rebars and steel fibres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3152.4.4 - Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .315

2.5 - Fire performance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .315

3 - Dimensioning of SFRC arch segments 316-

3.1 - Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .316

3.2 - Procedures for dimensioning SFRC arch segments . . . . . .316

3.3 - Performance criteria for SFRC specifications . . . . . . . . . . .3193.3.1 - Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3193.3.2 - Mechanical characterisation of SFRC . . . . . . . . . . . . . .319

4 - Control and installation 320-

4.1 - Acceptance and storage of fibres . . . . . . . . . . . . . . . . . . . .3204.1.1 - Acceptance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3204.1.2 - Storage of fibres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .321

4.2 - Concrete mixing plant . . . . . . . . . . . . . . . . . . . . . . . . . . . .3214.2.1 - Component dosing . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3214.2.2 - Fibre dosing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3214.2.3 - Introduction and mixing of fibres . . . . . . . . . . . . . . . . . .3224.2.4 - Installation of concrete . . . . . . . . . . . . . . . . . . . . . . . . . .3224.2.5 - Equipment monitoring and control . . . . . . . . . . . . . . . .3224.2.6 - Concrete suitability tests . . . . . . . . . . . . . . . . . . . . . . . .322

4.3 - Production controls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3234.3.1 - Control plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3234.3.2 - Conformity criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . .323

5 - References 324-

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TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

RECOMMENDATION OF AFTES N°GT38R1A1

Steel fibres have been used for a number of years to reinforce tunnel linings in

precast arch segments the world over (Europe, the United States, and so on).

However, their application and their use in this field have been limited by the

relatively small amount (or indeed complete lack) of regulatory frameworks to

deal with this type of product. With the appearance of specific EU standards for

the use of steel fibres and the coming into existence of national recommenda-

tions in France, Italy, Japan and elsewhere, the use of fibre-reinforced concrete

in structures is now possible.

A large amount of research and testing of the behaviour of steel fibre-reinforced

concrete has been conducted in recent years in the United States, Canada,

France, Belgium, Great Britain, Italy, Switzerland, Japan and other countries.

This has contributed considerably to a better characterisation of SFRC and thus

made it possible to have a better understanding of the behaviour of this material

and specify the minimum performance values for each project.

The purpose of this document is to supply recommendations for the design,

dimensioning and construction of precast arch segments installed to the rear

of a TBM, and follows on from the recommendation published for reinforced

concrete arch segments.

Consequently, subsequent reference should be made to this previous recom-

mendation, particularly for the general chapters dealing with lining functions

and the description of the arch segment ring concept.

1 - Overview-

2 - Design of SFRC tunnel linings-

ForewordThis text is intended primarily for the various participants in the construction process (owners, designers, consulting engineers and contractors) working on

underground structures built using mechanical excavation by tunnel boring machines.

It does not constitute a regulation and should not be construed or used as such but its purpose is to draw attention of readers on the specifities of steel fibre-

reinforced concrete (SFRC) for the design, dimensioning and construction of lining rings made of precast arch segments.

This version is based on the AFTES recommendation currently in force for the reinforced concrete precast segments and on the “fib” Model Code 2010 for the

specificities of the fibre reinforced concrete. Due to a growing feedback, no dimensioning example is proposed in this recommendation; this supplement may

be provided in a later edition.

2.1 - Introduction

As specified above, the reference document relates to the AFTES recommen-

dation entitled “Design, dimensioning and execution of reinforced precast

concrete arch segment linings installed to the rear of a TBM” (La conception,

le dimensionnement et l’exécution des revêtements en voussoirs préfabriqués

en béton armé installés à l’arrière d’un tunnelier), Version 1, 1997.

The wide variety of design elements of arch segments and the ring, as set

forth in this recommendation, are still applicable today.

In this recommendation, the design and dimensioning of SFRC linings also draws

on Model Code 2010 (MC 2010)[5] for structures made of concrete developed

and perfected by fib (formerly CEB-FIP). This is a pre-normative document used

as an international reference for subsequent regulations: Eurocodes, in particular,

have been based on it. MC 2010 also examines new developments in concrete

structures and concrete as a material, as well as other innovative ideas such as

SFRC. The 2010 version of the Model Code (September 2011) was the most

advanced version at the time of publication of this recommendation.

2.2 - General design of SFRC linings

Current experience of fibre-reinforced ring segments rests mainly on a concept

involving solid arch segments, combined with an arch segment geometry

consisting of rectangles plus trapezoid shapes, parallelograms plus trapezoids,

or trapezoids alone.

* fib : fédération internationale du béton (International federation for structural concrete)

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314 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

Screwed assemblies must also be assessed, taking into account the additional

stress to be borne during assembly as well as in service. It is usually possible

to know in-service levels of stress and indeed these will have been used to

dimension the connectors. Consequently, the strength of the assembly areas

that constitute singularities (such as the concrete section between the bolt or

anchor bolt path and the inner surface) should be verified.

Here, too, tests may be carried out to assess the robustness of the assembly.

In general, if such sections are thin (small diameter arch segments) and even

if they have traditional steel reinforcements, steel tubing coupled with “tie

rebars” should be installed to distribute the stress throughout the body of

the arch segment. This system is also feasible for fibre-reinforced arch seg-

ments: the “ties” are of one piece with the tubing, enabling them to be pro-

perly positioned.

Screw assemblies for arch segments that are only fibre-reinforced may be more

difficult and specific tests must be carried out to verify the resistance of the

assembly areas. Other solutions should therefore be preferred, and are in fact

increasingly widespread for safety aspects (less intervention by operators to

install elements) as well as due to issues of productivity when installing rings.

2.4 - Durability

Just as with traditional rebars, steel fibres may be subject to corrosion.

Two different scenarios need to be taken into account when analysing the

corrosion of steel fibres and its consequences.

• Firstly, if the fibres do not cross a surface crack

• Secondly, if the fibres do cross a surface crack.

2.4.1 - Fibres do not cross a surface crack

As in the case of reinforced concrete rebars, the protection of steel fibres

from corrosion depends on how compact the matrix is. The more compact

the matrix, the more difficult it is for aggressive agents to spread, and the

more effective the protection of the fibres from chemical attack will be.

However, for identical components, matrices containing fibres are always

less compact than in their absence.

RECOMMENDATION OF AFTES N°GT38R1A1 M

The same precautions as with reinforced concrete arch segments should be

applied for contact surfaces, and particular care taken with the clearance of

the angles of contact surfaces between arch segments and between rings.

The actual contact surface should be taken into account when considering

stress transfer and local stress (TBM thrust jack footplates).

The provisions for tightness seals are the same as for reinforced concrete arch

segments.

2.3 - Assembly devices

Particular care should be taken with the design of assembly devices: this should be

assessed in the light of careful consideration of the mechanical characteristics of the

fibre-reinforced concrete in question. The usual devices include, but is not limited to,

the following:

• mechanical assemblies using screws (which can be used between arch segments

and between rings):

- Straight or curved bolts

- Inclined anchor bolts

• devices assembled using connectors or bush and pin systems (between rings),

• positioning assemblies using guide bars (between arch segments).

Positioning assemblies using guide bars – generally, a circular plastic strip – do not

call for any particular precautions.

Assemblies using box-outs or bush and pin systems may lead to radial stress when there

is fitting force. (For instance, this is the case when plastic connectors are introduced

directly into a concrete box-out). This is usually braced either by reinforcing the sides, or

with an additional winding reinforcement. Radial stress is difficult to quantify; a test may

easily be performed using a test prism that is representative of the thickness of the arch

segments and using a press to test the pins and how the concrete withstands them.

As for the various tests discussed in this recommendation for supporting the use of

a given solution, use is made of the test result on a “design assisted by testing” basis,

as specified in Eurocode 0 (NF EN 1990). The margin with regard to the experimental

result will depend on the number of tests, the degree of ductility in the resulting type

of failure, and the

safety issues relating

to the structure itself.

Bush and pin assembly

Bush and anchor bolt assembly

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TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

This problem, which relates to the physics of granular stacking, may easily be

minimised by optimising the matrix formulation. This optimisation involves

increasing the quantity of paste (cement plus mineral additives) and fines

(sand) as the percentage of fibre increases. In conventional SFRC, fibres are

not in contact given doses of less than 100 kg/m3, thus limiting the spread of

corrosion, including corrosion relating to stray currents. For this reason, and

for the purposes of an initial approach, coating concrete serving as a “barrier”

to aggressive agents may be the same thickness for both concrete and fibre

reinforced concrete, provided that the appropriate strength for the exposure

class is ensured.

In summary, corrosion of non-cracked SFRC leads to the following being

observed:

• fibre corrosion at the surface of the structure, without this corrosion pene-

trating inwards (no contact between fibres); no concrete bursts: small quan-

tities of corrosive products; matrix porosity is “sealed” at the surface of the

structure by the corrosive products.

• no deterioration in the mechanical properties of the SFRC.

These observations are thoroughly supported by research. One of many such

examples that may be cited is the relatively complete experimental study carried

out by the French National Agency for the Handling of Radioactive Waste (ANDRA,

Agence Nationale pour les Déchets Radioactifs), (Dubois et Nouguier (1989)) [21].

2.4.2 - Fibres cross a surface crack

This is a significant scenario with regard to the potential mechanical conse-

quences of fibre corrosion.

Indeed, the question is whether fibres crossing cracks corrode to an extent

that they lose their reinforcement potential (since cracks considerably acce-

lerate the chloride ion diffusion process).

An examination of the literature on this subject indicates that it may reasonably

be assumed that for cracks with a crack mouth opening displacement of less

than 150 µm, steel fibres do not undergo corrosion leading to any decrease in

the mechanical characteristics of SFRC. (No evidence exists as to whether lar-

ger cracks lead to any harmful mechanical corrosion occurring).

This conclusion may be explained by the fact that the products that corrode

fibres passing through cracks located close to the structure’s surface tend to

seal the cracks in question: when the cracks are not very wide, they may in

fact be seen to heal over.

In the event of a wide crack appearing, the relevant section of the structure

must be monitored and maintenance performed if necessary, depending on

the degree of structural risk involved.

2.4.3 - Specific instance of mixed structures in which reinforcements consist of reinforced concrete rebars and steel fibres

The main point to be borne in mind is that in service, cracks are much narrower

and less straight in mixed structures than in structures made solely of rein-

forced concrete. The consequence of this fact is that it is much more difficult

for aggressive agents to reach the rebars in mixed structures.

It is easier for the mechanisms through which cracks are sealed and heal over

to occur in a mixed structure than in one made solely of reinforced concrete.

2.4.4 - Conclusion

• SFRC structures do not present any mechanically damaging corrosion issues.

• Mixed structures containing both rebars and fibres are less subject to

corrosion than structures made solely of reinforced concrete.

In the light of these observations, the following design recommendations may

be made with reference to exposure classes defined in NF EN 1992-1-1:

• in more aggressive environments, corresponding to exposure classes XS3,

XD3 and XA3, check that the Serviceability Limit State (SLS) frequent com-

bination tensile stress remains lower than the characteristic tensile strength

(fctk0.05 as defined in EC2) which corresponds to situation 2.4.1 and to a

condition deemed to be that of non-cracking in service.

• in other cases, corresponding to situations 2.4.2 and 2.4.3, limit the SLS

frequent combination design width of cracks wk to 0.15 mm (exposure

classes XS1, XD1, XS2, XD2, XA1 and XA2) or 0.2 mm (exposure classes

XC1, XC2, XC3 and XC4). Crack mouth opening displacement calculations

to be performed pursuant to §7.7.4.2 in document MC2010.

• in all cases, in the presence of rebars, except in specific, substantiated cases,

ensure coating of a value greater or equal to cmin,dur as per standard

NF EN 1992-1-1 section 4 (minimum coating to ensure durability).

For aggressive environments, or where surface fibre corrosion is to be avoided

for aesthetic reasons, it should be noted that galvanised steel and even stain-

less steel fibres are available on the market: these offer very high protection

against corrosion. Their specific physical and mechanical properties should

be taken into consideration when designing and dimensioning the arch

segment. In standard cases, their use is not necessary.

2.5 - Fire performance

Fire performance tests have recently been carried out on SFRC arch segments

in Europe (CTRL, etc). These have shown that steel fibre represents an impro-

vement on reinforced concrete which, due to the thermal conductivity of rebars,

rapidly leads to the bursting of exposed concrete.

While spalling is still present, resulting not only from local vapour overpressure,

but also due to biaxial compression of the exposed wall [14], this phenomenon

is less pronounced than in the case of reinforced concrete.

As in the case of conventional concrete arch segments, the use of a sufficient

proportion of polypropylene fibres in the SFRC composition brings down the

risk of spalling considerably, by means of a mechanism of which details can

be found, for instance, in [15].

Consequently, combining steel fibres with polypropylene micro-fibres is an

adequate solution for better fire performance, although it involves special atten-

tion being paid to the tradeoff between the rheology of the fresh material and

the prevention of risks relating to thermal instability (spalling).

In the absence of a reference document providing support for the cross-section

of SFRC subject to high temperatures (ISO or HCM “modified hydrocarbon”

curves), specific tests must be carried out to support the design in terms of

expected stability.

RECOMMENDATION OF AFTES N°GT38R1A1

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316 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

RECOMMENDATION OF AFTES N°GT38R1A1 M

3.1 - Foreword

Reference will be made subsequently to the previously quoted recommendation

for dimensioning reinforced concrete arch segments in order to identify, as

exhaustively as possible, all load conditions that may influence the dimensioning

of SFRC arch segments.

Indeed, mechanical reinforcement of arch segment concrete by rebars or fibre

may address the need to balance tensile stress in six principal scenarios:

1. Combined bending and axial stress on arch segments, with ovalisation of the

ring due to thrust from the soil and soil-structure interaction.

2. Burst stress in localised areas of compression: assembly points between

arch segments, areas supporting TBM footplates, hard contact points, etc.

3. Bending while the concrete is fresh, during removal from moulds and/or sto-

rage.

4. Tensile stress as a result of impacts during transport and handling.

5. The risk of a lack of support, in the absence of specific precautions, during

thrust exerted by the TBM jacks to install an arch segment, resulting in tensile

stress on part of the arch segment between the points at which the support

reaction is concentrated.

6. Tensile stress as a result of differential shrinkage of the concrete, in the event

of very thick sections.

The effectiveness of fibre reinforcements compared to reinforced concrete

rebars to deal with situations 4 and 6 is proven, and in most cases does not

require supporting design calculations since minimising cracks and spalling is

a benefit that is directly visible at the worksite stage.

Demonstrating the effectiveness of fibres for situation 2 should be conducted

on the basis of representative tests, taking into account the design arrangements

adopted and the procedures for installing the SFRC, which will determine how

the fibres are aligned.

The effectiveness of SFRC in situation 5 in particular has been studied as part

of the national BEFIM project [4, 7, 8]. If the characteristics of the soil and the

design of the arch segments and the way the rings are installed means that it

is impossible to avoid significant gaps between the points at which the support

reactions arising from the thrust exerted by the TBM are concentrated, the load-

bearing capacity of SFRC in terms of tensile stress may not be enough to ensure

the desired level of safety: the presence of reinforced concrete rebars at the

edges of the arch segments will be necessary. In this case, elements of design

support for a method using connecting rods are available, for instance in [4].

Full-scale tests may also be carried out to ensure appropriate behaviour under

this type of stress.

The following guidelines are therefore intended principally to provide design

calculation support for mixed or fibre reinforcements for situations 1 and 3.

3.2 - Procedures for dimensioning SFRC arch segments

If SFRC is being considered for an arch segment, a specific approach must be

stringently followed in order to achieve a reliable technical solution. This

approach consists of a number of stages:

1. Defining the design stress for the tunnel and arch segments under conside-

ration.

2. In the light of the stress defined in stage 1, dimensioning the SFRC arch

segments using Model Code 2010 [5] for Fibre-Reinforced Concretes.

3. Carrying out suitability testing in order to verify whether the proposed SFRC

complies with the mechanical characteristics used for dimensioning.

4. Carrying out in-factory tests in order to monitor the quality of the SFRC used

during manufacture of the arch segments.

This is in fact a conventional approach in which only steps 2, 3 and 4 are specific

to SFRC. A number of clarifications are supplied for these stages below.

Clarifications for step 2 - DimensioningThe Model Code 2010 includes supporting design calculations for the following:

• resistance to normal stress

• resistance to tangential stress

• distribution of concentrated loads

and provides for the possibility of experimental substantiation.

In the case of verification by calculation, the principal mechanical data for SFRC

relate to its post-cracking tensile behaviour (in other words, after localisation

of the crack or, in other words, after its elastic limit has been reached).

Regarding SFRCs to be used in tunnel arch segments, this post-cracking tensile

behaviour generally results in softening (or negative hardening): stress

decreases (once the crack is localised) as it opens. However, in some cases,

post-cracking behaviour may feature strain hardening.

Pragmatically speaking, on the basis of current knowledge, it is necessary to

make assumptions about the post-cracking behaviour to be taken into account

in calculations and simplify the post-cracking design law with regard to

experimental reality (in order to simplify dimensioning calculations).

Transitioning from an experimentally-derived law to a design law

The post-cracking behaviour of “traditional” SFRC may generally be represented

as shown in figure 1.

Figure 1

This combines a crack mouth opening displacement ws with the servicea-

bility limit state; the ultimate limit state corresponds to a crack mouth

opening displacement opening wu.

3 - Dimensioning of SFRC arch segments-

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TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

To transition from the experimental behaviour shown in figure 1 to a simplified

design behaviour, let it be assumed that the design behaviour is elasto-plastic

with linear softening (stress varies linearly subsequent to the elastic limit).

Testing bench for prisms (3 point-bending).

The design curve is obtained on the basis of a characteristic experimental curve,

determined on the basis of at least 6 tests, such that the probability of the load-

bearing capacity being in excess of the characteristic curve is 95%. The rela-

tionship between the experimental and the design curves is one of energy. In

other words, for a serviceability limit state design, the non-linear energy beneath

the design curve is the same as that beneath the experimental curve, for a

crack mouth opening displacement equal to ws. The same applies to the ultimate

limit state where the crack mouth opening displacement is wu (figure 2).

The design curve incorporates the effect of using SFRC in the arch segment

by using a K-factor, as specified in the Model Code (cf §5.6.7 MC 2010), called

“orientation factor”.

For an isotropic distribution of fibres in the structural element identical to that

in the characterization prism, this factor is equal to 1.0.

In the event of an unfavourable effect, a K value > 1.0 must be applied and

verified experimentally.

In the event of a favourable effect, a K value < 1.0 may be applied if verified

experimentally and if it remains safe for all possible stresses on the arch seg-

ment.

Fibre distribution in the matrix.

The crack mouth opening displacement values ws and wu must now be defined

in order to determine the tensile stress values σs and σu to be used in design

calculations. For ws, the limit values and verifications for crack mouth opening

displacement have been set forth at 2.4.4.

For wu, the problem is more complex and delicate.

For issues of bending, the crack mouth opening displacement that corresponds

to the maximum bending moment will depend on the height of the section.

It is known that SFRC currently used in tunnel arch segments (which typically

have between 30 and 60 kg/m3 of fibre in concrete with characteristic strength

of the order of 50 MPa) behaves well in terms of post-cracking tensile stress

for crack mouth opening displacement of up to approximately 3.5 mm.

Pending further experience, design calculations should be performed with wu

equal to 2.5 mm, as specified in Model Code 2010.

Ultimate crack opening in a SFRC sample.

Crack mouth opening displacement having been defined for serviceability and

ultimate limit states, the values of σs and σu may be inferred from the design

performance curve.

Ultimate limit state verifications take into account a material safety factor ɤF

defined as 1.5 as per Model Code 2010 [5].

The non-fragility of the structure should also be demonstrated as per §7.7.2.

of Model Code 2010.

RECOMMENDATION OF AFTES N°GT38R1A1

Figure 2.

3D-modelling of a segment to check stresses induced in the SFRC.

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Full scale bending test on a prototype segment (University of Rome).

Full scale localized compression test (simulating the action of the TBM’s thrustjacks) on a prototype segment ( University of Rome).

Test with eccentric reactions on a SFRC segment.

Clarifications for step 4 - In-factory control testsThe in-factory control tests that form part of the factory’s quality plan may be

highly simplified. Indeed, for a given arch segment geometry and installation

procedure, the mechanical performance of SFRC infrastructures are fully

dependent on the following:

318 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

Clarifications for step 3 – Suitability testsThis step consists in checking that the SFRC proposed has mechanical cha-

racteristics that are at least equal to those adopted for dimensioning, espe-

cially as regards behaviour under tensile stress (in a similar manner to what

is conventionally carried out for compressive strength behaviour). To do so,

suitability tests are performed.

The post-cracking tensile behaviour of SFRC depends on the preferential

orientation of the fibres within the structure. This orientation is linked to the

type of structure and the mode of use.

Suitability testing therefore involves executing a prototype arch segment in

representative conditions of fabrication and curing, and then taking prism

specimens from this element to be subjected to tensile stress testing by ben-

ding in directions that are representative of the tensile stress expected in the

arch segment. These tests will make it possible to check that the behavioural

law of which they form the basis is compatible with the design law used for

the project. These are conducted pursuant to standard EN 14651 (cf. 3.3.2.2.).

Since both mean and characteristic curves must be determined, testing of 6

samples as well as moulded test specimens is necessary.

By comparing them with prisms made during fabrication of the control ele-

ment, the specimen prisms also make it possible to determine the K factor

pursuant to Model Code 2010 § 5.6.7. This factor may be used to determine

the target values to be attained during control tests on poured test specimens

(see stage 4).

Notes:

1. The K factor is largely dependent on the pouring mode used for the arch

segments. If this is altered, even if the SFRC formula remains unchan-

ged, the suitability test must be repeated.

2. With the benefit of increased experience in the manufacture of SFRC

arch segments and the development of digital tools that make it possible

to predict the effects of how the material is deployed on the way the

fibres are distributed, it is likely that suitability testing will be simpler

and less extensive in the future. For the time being however, this testing

remains a crucial stage in ensuring the overall safety of the elements

where this depends on the ability of the SFRC to bear post-cracking ten-

sile stress.

3. In theory, the post-cracking tensile behavioural law could be determined

by direct tensile stress testing on prism specimens taken from the ele-

ment, rather than on the basis of the inverse analysis of tensile bending

tests. However, the difficulties involved in this type of test and the dis-

persion that is generally observed mean this alternative is unfavoura-

ble.

4. With regard to “design assisted by testing” as detailed in Model Code

2010 § 7.12, suitability tests using prism specimens could be replaced

by full-scale tests performed on prototype arch segments that are repre-

sentative of the design stress intensity of the project. The margins to be

adopted in this approach are set forth in Model Code 2010 § 7.12. In

the light of the required resources and the additional time required, typi-

cally several weeks, when arch segment production commences, this

approach should only be considered for major projects.

RECOMMENDATION OF AFTES N°GT38R1A1 M

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TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

• the compactness of the matrix (the concrete), characterised by the com-

pressive strength of the SFRC,

• the percentage, shape, dimensions and mechanical characteristics of the

reinforcements (the fibres).

Consequently, the control process should consist, during the project, of veri-

fying that the following:

• the compressive strength of the SFRC

• its characteristics when fresh

• the nature and quantity of fibres and the mixing procedure

• the protocol for using the SFRC in forms

• and the curing and maturing process

are identical to those defined following the suitability tests.

To do so involves all relevant data being recorded during the suitability tests.

3.3 - Performance criteria for SFRC specifications

3.3.1 - Overview

Steel fibre reinforced concrete performance increases in line with a number

of factors:

• the performance of the concrete matrix

• the dose of fibres (up tu some limit)

• the intrinsic performance of the fibres in the matrix (geometry, l/D, ancho-

ring method, etc.)

• the orientation of the fibres with respect to the potential cracking process

Steel fibres must comply with European Standard NF EN 14889-1.

It is particularly important to observe the following tolerances with regard

to geometry:

RECOMMENDATION OF AFTES N°GT38R1A1

Characteristic Symbol

Deviation of thevalue from

the declaredvalue

Deviation of the mean value from

the declaredvalue

Length andextended length> 30 mm≤ 30 mm

l, ld(where applicable)

± 10 %± 5 %± 1,5 mm

Diameter (equivalent)> 0,30 mm≤ 0,30 mm

d ± 10 %± 5 %± 0,015 mm

Length/diameter ratio λ ± 15 % ± 7,5 %

Table 1 - Tolerances for fibre length and diameter as per EN 14889-1

Minimum proposed recommendation:Drawn steel wire:

• tensile strength of steel wire: fy > 800 MPa minimum. (tensile strength of

the wire must be consistent with that of the matrix, fy ≥ 1.5 GPa for HPC)

• dimensional tolerances as per table 1

• a maximum network effect (m/m³) should be sought, ensuring that the selec-

ted mode of use includes checking the proper orientation of fibres with regard

to mechanical behaviour

• optimising the anchor system (hooks at the end to ensure the fibre is ancho-

red in the concrete matrix, or other systems)

Fibre conditioning must take account of the following:

• introduction of the fibres using an automatic dosing system

• arraying the fibres in the concrete to obtain perfectly uniform distribution

• complete elimination of the appearance of fibre balls for fibres with l/D >65

(detrimental during installation phase)

The use of bonded fibres or other systems (untangling, etc) are therefore

recommended to fulfil the above requirements.

Surface aspect:For some types of structure, the use of galvanised fibres may avoid the risk of

fibres at the surface corroding.

Galvanised steel fibres should be produced using hot-galvanised steel wire.

The specifications for the zinc coating must comply with French standard A

91-131 and be of type B classification, for which the minimum zinc coating is

30 g/m².

The galvanised steel fibres must be protected by a gas inhibitor. This controls

the zinc/cement reaction, helps prevent this phenomenon, and ensures both

resistance of the galvanisation and the adherence of the fibres within the

concrete matrix. The results of saline fog durability tests pursuant to standard

ASTM B117 or NF X41-002 in an approved laboratory must be supplied in

order to guarantee that no trace of corrosion has appeared after 1000 hours

of storage immersed in a saline solution.

Any specification of stainless steel fibres must be supported by precise knowledge

of the aggressive environment to which the concrete and fibres will be exposed.

Special care should be taken when choosing the grade of stainless steel and in

taking into account the specific physical and mechanical properties of the fibres.

3.3.2 - Mechanical characterisation of SFRC

3.3.2.1 - PurposeWhen dimensioning a steel fibre concrete arch segment, a reference test

method should be used to define performance values. In addition to mechanical

performance, other properties of the SFRC may be specified.

These properties could include the following:

a- Properties and performance of the base matrix

• cement dose and quality

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Tests on prismspecimens fromprototype arch

segment

Tests should be conducted on a minimum number of specimens and the varia-

tion of results in terms of residual strength fR,j must not exceed the following

values:

• Characterisation tests:

9 test specimens and residual strength variation ≤ 20%

• Suitability tests:

6 test specimens and residual strength variation ≤ 25%

• Control tests:

6 test specimens and residual strength variation ≤ 20%.

4.1 - Acceptance and storage of fibres

4.1.1 - Acceptance

Acceptance of fibres should include checking that they correspond to the type

and requirements specified on order.

The arch segment manufacturer’s control plan must detail acceptance ope-

rations, including the following (for fibres whose origin is known to the user,

from a supplier offering suitable internal quality monitoring guarantees):

The principal reference documents to be observed for the control and use of

SFRC are as follows

• Fascicle 65 of the General Technical Specifications (CCTG) and standard NF

EN 13670 (Execution of concrete structures)

• Standard EN 206-1: Concrete (Specification, performance, production and

conformity)

• Standard EN 13369: Common rules for precast concrete products

• Standard EN 14650: Precast concrete products. General rules for factory

production control of metallic fibre concrete

The specific provisions for SFRC arch segments are set forth below.

320 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

• water/cement ratio

• granularity

• type and dose of additives

• workability of the fresh concrete

• compressive strength of the hardened concrete

• bending strength of the hardened concrete

b- Fibre type and dose

c- Properties of the SFRC, as a minimum its compressive and tensile properties

(or tensile and flexural properties)

In particular, experimental identification of the behaviour of SFRC is dependent

on the following:

• the geometry of the item being tested (dimensions and shape),

• the diameter of the largest grain comprising the matrix (the fibre length must

be equal to at least 2.5 times its diameter),

• the compactness of the matrix characterised by the compressive strength

of the SFRC.

3.3.2.2 - Description of the test used to characterise the specifictensile strength of SFRC arch segmentsIn line with section 5.6 of the Model Code 2010 [5] and in the absence of any

alternative procedure whose use has been validated, prism tests pursuant to

standard EN 14651 “Test method for metallic fibre concrete. Measuring the

flexural tensile strength (limit of proportionality (LOP), residual)” should be used

to characterise SFRC.

The tensile behaviour of steel fibre-reinforced concrete is evaluated in terms

of residual flexural tensile strength, determined on the basis of the load/CMOD

curve of the crack or the load/bending curve obtained when applying a point

load centred on a notched prism on a single support.

The crack mouth opening displacement taken into consideration for SLS

verifications is specified at 2.4.4 above.

The value fR3 (CMOD = 2.5mm) is used for the Ultimate Limit State.

3.3.2.3 - Summary table of characterisation, suitability and control testsTests to be performed have been grouped together and summarised in Table

1. It should be noted that these tests relate to the materials making up the

concrete, fresh concrete, and hardened concrete

RECOMMENDATION OF AFTES N°GT38R1A1 M

Types of tests

Characterisation Suitability Control

Materials

Aggregates Y Y N

Additives Y Y Y

Cements Y Y N

Fibres Y Y Y

Freshconcrete

Fibre dose Y Y Y

Water dose N N N

Workability (*) Y Y Y

Density Y Y Y

Hardenedconcrete

Density Y Y Y

Compressive strength Y Y Y

EN 14651 bending test Y Y Y

Y = Yes, N = No(*) o be adjusted depending on the consistency of the SFRC used.

Table 2 - Characterisation, suitability and control tests to be performed on SFRC.

4 - Control and installation -

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RECOMMENDATION OF AFTES N°GT38R1A1

• an inspection prior to acceptance of the delivery slip and/or label on the

packaging, indicating compliance with the order (the purpose is to ensure

compliance of the delivery to the order and the proper origins thereof); this

should be carried out for every delivery,

• simplified visual and dimensional control of a sample from the delivery in

order to confirm the type of fibre (form, length and diameter or shape of the

cross-section and any anti-corrosion treatment applied),

• for conditioning including pre-dosing of fibre, sample control of the confor-

mity of this pre-dosing.

In the event of fibres whose conformity has not been evaluated or determined

prior to delivery, the arch segment manufacturer must ensure a control plan

is set up. This may be subcontracted to a competent third party, and must be

designed to demonstrate conformity to the required technical specifications.

These procedures should be based on standard EN 14889-1, concrete. Steel

fibres. Definitions, specifications and conformity.

4.1.2 - Storage of fibres

Fibres are delivered in sacks or “big bags”, so storage must ensure the following:

• conservation pursuant to the supplier’s specifications (in particular for fibres

that are not protected against corrosion and for fibres that have had prepa-

ratory treatment, e.g. fibres assembled in panels),

• use in the same order that the batches were accepted, in order to ensure

proper traceability,

• if packaging is specific and specially adapted to the dosage unit for a given

batch, it is imperative that the storage conditions preserve the packaging inte-

grity. Any item with damaged or suspect packaging must be isolated and not

declared compliant until fresh packaging and inspection has been carried out.

4.2 - Concrete mixing plant

4.2.1 - Component dosing

The concrete mixing plant and its equipment, in particular for dosing, must com-

ply with the requirements specified in one of the documents quoted at the head

of this chapter, taking into account the reference priorities specified in the Par-

ticular Technical Specifications (CCTP).

These include the provisions concerning:

- the storage and dosing of concrete components (the tolerances for which are

set forth in General Technical Specifications (CCTG) Fascicle 65),

- the operation of the concrete plant (automation and controls),

- the materials control programme (EN 206-1: Table 23 EN 13369: D1).

The document PR NF EN 14650 (October 2005) “Precast concrete products -

General rules for factory production control of metallic fibered concrete” pre-

sents the specific procedures for fibres, in line with the provisions of EN 206-

1 and EN 13369 (it refers to these for components other than fibres).

4.2.2 - Fibre dosing

Preferably, fibres should be dosed using specific equipment, connected by

means of PLCs and controls to the concrete plant’s command-control unit.

Fibre dosing device Fibre separation system

This specific equipment should operate by dosing the fibres by weight.

All suitable measures should be taken to carry out monitoring of the stock of

fibre available in the doser, ensuring that reloading takes place outside auto-

mated dosing cycles and does not interrupt these cycles, in order to ensure

batch integrity.

By analogy with the usual provisions covering concrete component dosing, the

following points should be adopted and specified in the control plan:

• ensuring dosing accuracy 1 such that the measured results of the quantity

of fibres by weight fall within the following bounds:

- a maximum of 20% of results beneath the nominal value, with a limit

value of -5%

- at least 80% greater or equal to the nominal value

• controlling the equipment’s dosing accuracy at regular intervals: during ins-

tallation, reinstallation and after any major repairs, and in any event at least

once a year.

If in doubt:

• carry out a visual inspection once a day to check the proper operation of

each stage of dosing and transfer to the mixer.

In the case of a concrete plant operating regularly with several models of

fibre, the arch segment manufacturer must take measures regarding chan-

geover from one model to another without any risk of error or pollution bet-

ween models (with the use of different bowls or a emptying and cleaning

process when the model is changed, checking the components used for trans-

fer to the mixer).

1 - Chapter 3.3 of standard NF EN 14650 recommends a dosage tolerance of +/-5% of the required quantity for all quantities of concrete greater or equal to 1 m3.Section 6.6 of the document “Quality Assurance Guidelines for the use of Steel Fibre Reinforced Concrete (SFRC)” [6] recommends a tolerance of 3% for fibre doses and refers to EN 206-1 for other components.However, a dosage minimum should also be guaranteed; this is the reason for specification of the dispersion positioning.

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322 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

4.2.3 - Introduction and mixing of fibres

The choice of mixer and the procedures for introducing fibres will determine

the uniformity of the mix and proper distribution of the fibres. A part of water

quantity is mobilized by the fibres (stell or polypropylene possibly) that signi-

ficantly influences workability.

The mixing equipment must be able to provide high shear for fresh concrete.

Particular attention must be paid to horizontal-shaft mixers with regard to the

quality of the fibre mixed obtained.

The shape of the blades must not result in any buildup of fibres.

The mixer must be large and powerful enough to ensure nominal batches are

produced properly. A minimum size for any partial batches (which should be

no more than 50% of the nominal volume) should be established. These ope-

rating capabilities should be demonstrated during the concrete suitability test.

The quality plan must specify the conditions in which fibres are introduced

and mixed:

• the point in the general concrete component introduction cycle

• the speed or duration of fibre introduction

• the minimum mixing duration after the end of fibre introduction (whether

wet or dry process)

• the maximum mixing time (where applicable, and in the event of a proven

risk of segregation)

The effectiveness of the operating cycle should be demonstrated during the

concrete suitability test.

Note: in recent production experience, in the case of firm concrete, fibres are

introduced with the aggregates (the fibre feed system pours the fibres onto

the weighing belt or into the aggregate hopper feeder). This recommendation

also features in section 6.7 of the Quality Assurance Guidelines for the use of

Steel Fibre Reinforced Concrete (SFRC)” [6].

For more plastic or fluid concretes and/or high doses, the fibres may be intro-

duced once the mix has been made uniform (with water and additives).

4.2.4 - Installation of concrete

The choice of the modes of concrete transport and installation must take

account of the fibres. Consequently, procedures minimising the risk of segre-

gation and absence of coating and minimising the path of the fibre reinforced

concrete in the formwork are to be preferred; procedures between the mixer

and the arch segment formwork should not be stacked.

Any interruption in the supply of fresh material for a single element must be

avoided, as must any supply from a number of different feeds that have not

been re-treated. Any use of internal or external vibrating rods must be the sub-

ject of specific study given the major incidence of this procedure on the dis-

tribution and orientation of fibres.

For suitability testing, the concrete to be assessed must have been installed

in the mould and followed the path specified for production to be evaluated.

Blagis tunnel - SFRC casting.

Blagis tunnel - 3 point-failure test on a beam sawed out of a test segment.

4.2.5 - Equipment monitoring and control

In addition to the procedures for controlling the dosing equipment, the mixer and

where applicable, the concrete transfer equipment (overhead conveyors, belts

or skips) must be monitored especially closely taking into account the potential

impact of the use of fibres on wear of shielding and blades and disruption due

to fibre buildup in joints of any moving parts (doors, door seals, etc.).

The frequency of cleaning operations must also be adjusted appropriately (an

important detail).

4.2.6 - Concrete suitability tests

Pursuant to the table shown in § 3.3.2.3, in addition to procedures designed

to evaluate traditional concrete (see standard EN 206-1 and fascicle 65),

concrete suitability testing should include additional procedures relating to the

incorporation of fibres and the execution of a prototype allowing the quantitative

value of the K factor regarding fibre orientation (§3.2 stage 3 above) to be

taken into account.

The additional procedures relating to fibres include the following:

• measuring concrete consistency 2

• measuring the fibre content of fresh concrete

• measuring the fibre content of hardened concrete 3

• evaluating the spatial distribution of fibres 4

• execution of the test piece pursuant to the tests specified in chapter 3

“Dimensioning of SFRC arch segments”

Measuring the fibre content of fresh and hardened concrete is covered by

standard NF EN 14721+A1 “Precast concrete products. Test method for metallic

RECOMMENDATION OF AFTES N°GT38R1A1 M

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fibre concrete. Measuring the fibre content in fresh and hardened concrete”

This reference should be quoted as per the tests specified in chapter 3 “Dimen-

sioning of SFRC arch segments” : NF EN 14651+A1 “Precast concrete products.

Test method for metallic fibre concrete. Measuring the flexural tensile strength”

The suitability test programme must specify the number of specific tests rela-

ting to fibres, as appropriate for the objectives and the number of batch types

and/or planned finished product types.

All SFRC manufacturing and installation processes, including curing and matu-

ring, should be the subject of an execution procedure validated by the project

owner at the end of the suitability test, certifying that the properties specified

and/or required to substantiate the mechanical properties of the elements have

been obtained. This stage constitutes a critical point.

4.3 - Production controls

4.3.1 - Control plan

The control plan must supply details of all the aspects specified above:

• acceptance of fibres

• control of the equipment

It should be supplemented with measures governing control of the procedure,

including the following:

• concrete mixing

- visual inspection

- evaluation of a proper mix

- once a day (plus continuous surveillance at the pouring station to ensure

there are no fibre balls, etc)

• consistency of concrete

- cf suitability (same test)

- once a day

• installation of concrete

- visual inspection

- evaluation of proper compacting

- once a day

• strength

- compression test specimen

- checking strength after 28 days (other periods and/or intermediate

periods may be specified)

- adopt frequencies and adjustments thereto as shown in Table 13 of EN

206-1 for concrete for which production control is certified (once a week

minimum)

• structural strength

- fibre-reinforced concrete test specimen (according to the main dimension

of the segment)

• fibre content of fresh concrete

- adopt frequencies and adjustments thereto as shown in Table 13 of EN

206-1 for concrete for which production control is certified (once a week

minimum) – the specimen used should correspond to a single sample

4.3.2 - Conformity criteria

In addition to the customary conditions for acceptance of design, suitability

and control tests for compressive strength, consistency and density of concrete,

the following criteria should be applied to assess conformity of tests with

regard to the tensile strength of SFRC:

Characterisation (design test):

The characteristic curve (i.e. one that will be exceeded in 95% of cases) derived

from characterisation tests (on moulded prisms) to which the K factor has been

applied must be above the characteristic behaviour curve used for the project,

to which an affinity value of 1.05 has been applied, at all points.

Suitability:

The characteristic curve (i.e. one that will be exceeded in 95% of cases) derived

from characterisation tests (on moulded prisms) to which the K factor has been

applied must be above the characteristic behaviour curve used for the pro-

ject.

NOTE: Characterisation and suitability stages may be combined, with cut and

moulded test specimens carried out at the same time in order to determine

the K factor. However, separate steps may be indispensable if it is necessary

to detail specific properties that do not depend directly on the fibre dose or its

effect (resistance to the environment, for instance, chemical attacks relating

to the soil, compression strength when fresh, etc.).

With regard to “design assisted by testing” as detailed in Model Code 2010 §

7.12, suitability tests using prism specimens could be replaced by full-scale

experiments performed on prototype arch segments that are representative

of the design stress intensity for the project. The margins to be adopted in this

approach are set forth in Model Code 2010 § 7.12. In the light of the resources

required, this approach should be envisaged only for major projects, new pro-

ducts or when optimisation of a given solution is being sought.

Control:

The mean curve resulting from the moulded prism tests to which a K factor has

been applied must be higher than the behaviour curve used for the product.

In addition, each individual curve resulting from the moulded prism tests to

which a K factor has been applied must be higher at every point than the beha-

RECOMMENDATION OF AFTES N°GT38R1A1

2 - Consistency involves the use of a test referenced in EN 206-1; slump is the most practical and commonplace in precast plants. Moreover, the VB test is specified in the standard for reference concrete for fibre tests(prEN 14845-1). Self-consolidating concretes may also be envisaged, provided that they fulfil the same performance requirements as conventional concrete.Chapter 3.3 of the document “Quality Assurance Guidelines for the use of Steel Fibre Reinforced Concrete (SFRC)” recommends an Abrams cone test if the “fibreless” concrete has a slump of less than 15 cm, aslump table if it is in excess of 15 cm (more fluid concrete) or even a VB test if it is very “dry”.

3 - These tests are carried out on a sample taken from an arch segment.4 - This test is a useful indication for concrete evaluation, but is not mandatory and does not need to be repeated in controls unless the procedure for pouring arch segments is altered.

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324 M TUNNELS ET ESPACE SOUTERRAIN - n°238 - Juillet/Août 2013

viour curve used for the project to which an affinity value of 0.95 has been

assigned.

The K factor (which uses both moulded test specimens and prism samples

taken from the representative element) must be determined on the basis of

enough actual samples to enable the statistical effect within the arch segment

to be taken into account (a minimum of six prisms in areas in which the tensile

stress and bending stress behaviour of elements is critical).

RECOMMENDATION OF AFTES N°GT38R1A1 M

125, 283 (1999) - F-J. ULM, P. ACKER, M. LEVY,

[15] Etude du comportement sous très hautes températures des bétons fibrés

à ultra-hautes performances : application au BCV, thèse de l’université de

Grenoble, 2011 - L. MISSEMER

[16] 6th RILEM symposium on fibre reinforced concrete, Varenna, 2004

[17] RILEM TC 162 TDF Test and design methods for steel fiber reinforced

concrete, design method, final recommendation, Materials and Structures,

vol. 36, 2003, pp. 560-567

[18] RILEM TC 162 TDF Test and design methods for steel fiber reinforced

concrete, bending test, final recommendation, Materials and Structures,

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5 - References -

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