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    Rigid Airfield PavementsDesign and Evaluation Methods

    GUIDANCE NOTES2

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    This guidance note is intended to give advice on the selection

    and use of Rigid Pavement design methods for airfield

    pavements for:

    Those interested in specifying or selecting a design method

    suitable for their circumstances Sections 1 Introduction and 2

    Selecting a design method only.

    Those interested in using the principal UK design methods

    Section 3 Using a design method.

    Those interested in the background to the principal UK design

    methods Section 4 Derivation of design methods.

    Summary

    Property Services Agency (PSA) A Guide to Airfield Pavement Design & Evaluation (1989) BAA plc Pavement Design Guide for Heavy Aircraft Loading (1993)

    P.1

    PSA1, BAA2, FAA3 or LEDFAA4; four major design methods (two British

    and the two major American) for airfield pavements, including rigid

    pavements which is correct, which represents best practice, whichshould you use?

    In practice there are numerous other design methods (important

    methods have been published in French, Japanese and Russian), and

    no major published method is wrong. Differences between design

    methods are caused by a number of factors, including:

    the condition of the pavement at the end of the design life,

    construction practice and material specification,

    analysis methods.

    There are also important differences in the scope of design methods, e.g.:

    they may cater for the evaluation of the strength of existingpavements and the design of rehabilitation and strengthening

    requirements.

    they may be restricted in the range of aircraft or subgrade

    strengths covered.

    Finally a design method is often linked to a particular material andconstruction specification; for instance the PSA design guide was

    linked to the PSA specification.

    Informed selection of a design method requires some knowledge of

    these factors and an understanding of how they may affect the capital

    and whole-life costs of the pavement design.

    This guidance note provides advice on:

    The selection of a design method for Clients and Project

    Managers (Section 2).

    The use of UK design methods for Designers (Section 3).

    Section 4 gives some general background to the derivation ofdesign methods

    1. Introduction

    Selection of a design method will usually depend on three factors:

    Construction practice and material specifications. For instance it

    would not usually be practicable to choose an American design

    method, linked to American specifications and standards, in the

    UK; when British design methods are closely linked to British

    construction practice, specifications and standards.

    The pavement condition expected at the end of the design life

    (known as the failure criterion), which governs likely maintenance

    requirements. In areas where low downtime for maintenance is

    vital a design method with a combination of a conservative failure

    criterion and a high design reliability (the probability of the

    pavement life equalling or exceeding the design life) may be

    appropriate. However, the pavement thickness and capital cost will

    be higher, and in most circumstances a less onerous design

    method will be suitable.

    Whether an evaluation of an existing pavement and rehabilitation

    / overlay design is required.

    The failure criterion is usually defined by the proportion of the

    pavement area that has failed structurally at the end of the design life,

    e.g. structural cracking of 30% to 50% of bays in the trafficked areas.

    The capabilities and limitations of the four major design systems in use

    in either the UK or USA is shown in Table 2.1.

    2. Selecting a Design Method

    1. 2.

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

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    A Guide to Airfield Pavement

    Design and Evaluation(PSA,

    1989)

    The BAA Design Guide for

    Heavy Aircraft Pavements

    (BAA, 1993)

    Airport Pavement Design and

    Evaluation(FAA, 1995)

    LEDFAA (1995)

    (NB Must be used in

    conjunction with the FAA

    design guide3.

    P.2

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    Covers a wide range of

    pavement types including

    the preferred new rigid

    pavement option (Fig 1 (i)) and

    alternatives generally used for

    evaluation and rehabilitation /

    strengthening design (Fig 1 (ii)

    and (iii)). Generally based on

    common UK construction

    practice, but allows alternative

    details, such as doweled joints,

    reinforced / continuously

    reinforced pavements, cement-

    bound soils in lieu of drylean

    concrete and unbound bases /

    capping layers. Linked to the

    PSA specification7, now

    partially embodied in Defence

    Estates Functional Standards9.

    Limited to jointed

    unreinforced concrete

    pavements on a cement-

    bound base (Fig 2).

    Linked to American

    construction practice, with

    little scope for variation of, for

    instance, joint details. Covers a

    wide range of pavement types.

    Linked to the FAA

    specification8.

    Linked to the FAA

    specification8.

    Developed for UK military

    airports. Intended to give

    minimum whole-life cost for

    pavements where the cost of

    disruption due to

    maintenance is low.

    Developed for BAA airports.

    Highly conservative, intended

    to give minimal pavement

    downtime for structural

    maintenance on very heavily

    used pavements. Intended to

    give minimum whole-life cost

    for pavements where the cost

    of disruption due to

    maintenance is high.

    Developed for American civil

    airports. Intended to give

    minimum whole-life cost for

    pavements where the cost of

    disruption due to

    maintenance is low.

    Developed for American civil

    airports. Intended to give

    minimum whole-life cost for

    pavements where the cost of

    disruption due to

    maintenance is low.

    Comprehensive ability to

    evaluate existing pavements

    and design rigid overlays.

    Very limited capability for

    evaluating the strength of

    existing pavements. No

    capability for the design of

    rigid overlays to existing

    pavements.

    Comprehensive ability to

    evaluate existing pavements

    and design rigid overlays.

    Very limited capability for

    evaluating the strength of

    existing pavements. Has a

    capability for the design of

    concrete overslabs to existing

    concrete pavements.

    Covers a limited range of

    concrete strengths.

    May under-design some joints

    on very heavily trafficked

    pavements.

    Has graphs for limited ranges

    of aircraft and subgrade

    strengths, and considers only

    one concrete strength

    (concrete strengths may be

    accounted for by the use of a

    separate chart providing an

    approximate modification to

    the basic design, or by the

    use of the associated design

    spreadsheets - see Section 3.2).

    May not design joints

    correctly if the pavement

    construction falls outside

    common ranges.

    Requires new graphs for new

    aircraft. Has not been

    extended to cover aircraft

    such as the Boeing 777 and

    Airbus A340.

    FAA only recommend the use of

    LEDFAA where the aircraft traffic

    mix includes Boeing 777 aircraft.

    Based on a computer

    programme covering fixed

    aircraft.

    May not design joints correctly

    if the pavement construction

    falls outside common ranges.

    Design Method Construction Practice Failure Condition

    Evaluation & rehabilitation

    /strengthening design Limitations

    Table 2.1 Comparison of design methods

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    With a cement-bound base to:

    to provide a uniform and substantially improved support,

    particularly at joints,

    to preserve aggregate interlock and therefore load transfer at

    joints by reducing deflections,

    to protect moisture sensitive subgrades and act as a working

    platform during construction,

    to prevent mud-pumping

    to reduce the rate of deterioration if cracking of the PQC slab occurs,

    to reduce the required PQC thickness for heavy loadings.

    JointedUnreinforcedPavement QualityConcrete (PQC)

    Induced transversejoints withoutmechanical loadtransfer devices

    Drylean Concrete

    JointedUnreinforcedPavement QualityConcrete (PQC)

    Induced transversejoints withoutmechanical loadtransfer devices

    Drylean Concrete

    JointedUnreinforcedPavement QualityConcrete (PQC)

    Jointed

    Unreinforced

    Pavement QualityConcrete (PQC)

    (for evaluation, rehabilitation and strengthening design)

    Concrete

    Pavement Quality Concrete

    Concrete

    Pavement Quality Concrete

    Figure 1: Rigid pavement constructions included in A Guide to Airfield Pavement Design and Evaluation.

    Concrete

    Pavement Quality Concrete

    Drylean Concrete

    Concrete

    Pavement Quality Concrete

    Drylean Concrete

    P.3

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    i. Preferred NewRigid Pavement

    On the subgrade or an unbound sub-base (for evaluation)

    ii. TraditionalRigid Pavement

    Figure 1.

    iii. Multiple Slab

    Rigid Pavements

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    This section provides advice for designers on using the two UK design

    methods, A Guide to Airfield Pavement Design and Evaluation1 and The

    BAA Design Guide for Heavy Aircraft Pavements2, lists the known

    limitations of the two methods and describes the dangers of mixing

    design methods.

    3.1. A Guide to Airfield Pavement Design and Evaluation

    The standard design methods of A Guide to Airfield Pavement Design

    and Evaluationcover:

    Rigid pavements comprising jointed, unreinforced, concrete slabs

    on a cement-bound or bituminous-bound base course, without

    mechanical load transfer devices at joints.

    The design methods can also be used for:

    Jointed, reinforced, concrete pavements.

    Doweled concrete pavements.

    Concrete pavements on an unbound base or directly on the

    subgrade.

    Evaluation of all of these pavement types is described, together with:

    Multiple slab pavements (bonded, partially bonded or unbonded

    concrete overlays on concrete).

    Composite pavements (bituminous surfacing on concrete).

    Problems with the guide include:

    Concrete strengths.

    Aircraft Classification Numbers.

    Design Charts for new or unusual main wheel gears.

    The design charts cover a limited range of concrete strengths. The low

    end of the range is rarely a problem; but the high end can be,

    particularly when evaluating older pavements. Limited extrapolation is

    possible, but otherwise higher strengths cannot be accommodated.

    The ACNs given in Appendix B are out of date and need to be

    supplemented by manufacturers data for recent aircraft.

    The Design Charts do not cover modern 6 wheel main wheel gears (e.g.

    Boeing 777 and Airbus A380), or unusual main wheel gears such as the

    Lockheed C5, Antonov 124 and Antonov 225. Designs can be obtained by

    using the Dual-Tandem charts, although it is currently uncertain as to

    whether the results are conservative or not. (NB if designs are un-

    conservative the result is a reduction in the design reliability).

    When using A Guide to Airfield Pavement Design and Evaluation it is

    very important to understand the relationship between the design

    flexural strength of concrete and the specified strength, and the design

    guide should be read in conjunction with Pavement quality concrete for

    airfields9.

    3.2. The BAA Design Guide for Heavy Aircraft Pavements

    The principal problem with The BAA Design Guide for Heavy AircraftPavements is the limited range of aircraft, subgrade strengths and

    concrete strengths covered by the design charts. In particular the

    aircraft mix considered typical in 1990 is no longer adequate.

    The design guide is accompanied by a spreadsheet for rigid pavement

    design (Fig 3) which allows the concrete strength to be varied and also

    allows mixed aircraft use to be easily dealt with. However, the

    spreadsheet holds the standard range of aircraft and requires

    modification for an alternative aircraft mix.

    For aircraft other than those in the standard mix, it is necessary to

    calculate the maximum flexural stress in the concrete slab for the

    standard pavements shown in (Fig 2), and the range of concrete slab

    thicknesses included in the spreadsheet, and then transfer the stresses

    to the spreadsheet. The aircraft data, including the Pass-to-Coverage

    Ratio must also be entered in the spreadsheet. The stresses should be

    calculated using the multi-layer elastic analysis program JULEA, using

    the pavement model shown in (Fig 6).

    Subgrade strengths other than the standard values, and between the

    minimum and maximum standard values can be dealt with by using

    interpolation, giving a reasonably accurate result. For values outside

    the standard range, or accurate results, the stresses should be

    re-calculated as described above.

    The design guide includes a chart that gives an approximate

    modification to the design thickness for alternative concrete

    strengths. For an accurate design the spreadsheet should be used.

    JointedUnreinforcedPavement QualityConcrete (PQC)

    300mm Unbound Sub-Base150mm Drylean Concrete300mm Unbound Sub-Base

    JointedUnreinforcedPavement QualityConcrete (PQC)

    Induced transversejoints withoutmechanical loadtransfer devices

    Induced transversejoints withoutmechanical loadtransfer devices

    150mm Drylean Concrete

    Figure 2: BAA Standard Constructive Practice.

    JointedUnreinforcedPavement QualityConcrete (PQC)

    150mm Drylean Concrete

    JointedUnreinforcedPavement QualityConcrete (PQC)

    Induced transversejoints withoutmechanical loadtransfer devices

    Induced transversejoints withoutmechanical loadtransfer devices

    150mm Drylean Concrete

    P.4

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    3. Using a Design Method

    Modulus of Subgrade Reaction (k) 20MN/m2/m Modulus of Subgrade Reaction (k) 40, 80, 150 MN/m2/m

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    Figure 3: Output example from BAA design spreadsheet

    P.5

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    BAA plc Rigid Pavement Design ChartsPQ Concrete Flexural Strength N/mm2Design Factor (DF) = a+b LOG CDesign Factor (DF) = MR/STRESSDesign Life Years

    Annual Growth Rate %

    File RIGCDF2.xls (Originator: John Barling) v.2 issued 10/10/97.k80 stresses corrected to agree with

    B777-2000 0 3700 0 0 0 0 0 0 0 0

    B747-940 B747-400 MD11 Wing B767-300 B757-200 B737-400 BAel 146-300 B747-600X A3XX 20W A3XX24WAN DepartAircraft

    Gross WT lb 592000100 100 100 100 100 100 100 100 100 100 100

    940000 851000 621000

    0.48a= 0.39b=

    6

    030

    405125 256000

    PQC mm 440 390 330 295Subgrade Ult. Low Low Medium High

    150500 98000 1250000 1700000 1254000% Gross WT

    1000

    0.1

    1

    10

    100

    Slab Thickness (mm)

    Cumulative Damage Factor

    CDF

    250 350

    x

    x 450 500 550 600300 400

    Ultra-Low

    Low

    Medium

    Highx

    It is possible to use the BAA design method for pavement constructions

    other than those shown in (Fig 2), as long as the following parameters

    are not altered (see Section 4.1):

    Elastic stiffness and Poissons Ratio of concrete.

    Interface Friction.

    CBR or k to Elastic Stiffness relationships and Poissons Ratio of the

    subgrade.

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    P.6

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    A Guide to Airfield Pavement Design and Evaluation

    The BAA Design Guide

    Longitudinal joints in pavements for heavy aircraft,

    when subjected to regular trafficking normal to

    the joint

    Pass-to-Coverage Ratio

    Flexural strength of concrete

    Standard longitudinal joints are butt joints without

    mechanical load transfer devices. In the majority of

    cases they perform well. However, there is someevidence that regular trafficking normal to the

    joints by heavy aircraft such as the Boeing 747, e.g.

    on some aprons, can cause premature failure.

    The formula given in Section A of Pavement Design

    Charts and Computer Programsis incorrect for the

    common case of traffic normally distributed about a

    centreline. The correct formula is given in Appendix

    E of A Guide to Airfield Pavement Design and

    Evaluation1.

    The relationships between flexural and compressive

    strength given in Equations 10 and 11 in Performance

    of Base Slabs (Flexible Overlays on RigidPavements)are very optimistic and likely to over-

    predict the actual flexural strength of the concrete.

    Alternative methods are given in A Guide to Airfield

    Pavement Design and Evaluation1or paragraph 684

    of Airport Pavement Design and Evaluation3.

    Design Method Limitation Comments

    Table 3.1 Limitations of UK design methods

    3.3. Known limitations

    In addition to any described in Sections 3.1 and 3.2 there are some

    other limitations with both the principal UK design methods, describedin Table 3.1.

    3.4. Mixing design methods

    Design methods should not be mixed! A good design method, such as the

    four described in this document, is a coherent system with components

    that are logically dependant on each other. Used out of context the

    results can be misleading or completely wrong. Typical examples are:

    The use of the PSA graph for the effective Modulus of Subgrade

    Reaction on an unbound sub-base under a rigid pavement in

    conjunction with the BAA design guide. In practice one of the

    reasons for the production of the BAA design guide was a concern

    that the PSA graph overestimates the effective Modulus of

    Subgrade Reaction under heavily loaded, thick concrete slabs, so

    using the PSA graph removes one of the drivers for higher

    reliability in the BAA design guide. The correct method for dealing

    with sub-bases using the BAA design guide is to model them by

    multi-layer elastic analysis.

    Mixing material equivalency factors. If a design method includes

    equivalency factors to convert one material to an equivalent

    thickness of another material, they should not be altered.

    Using entirely different techniques from other design

    methodologies, e.g. using the Method of Equivalent Thicknesses to

    combine pavement layers.

    The use of information from road design methods. There is rarely

    any justification to show that design information suitable for

    roads are correct for airfield pavements where the magnitude of

    the loading may be an order of magnitude higher, and the

    frequency of trafficking several orders of magnitude lower.

    There are some parts of design methods that are external to major

    assumptions used in the derivation of the method, and they can be

    exceptions to the rule. An example is the statistical method used to

    calculate the Pass-to-Coverage ratio.

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    P.7

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    This section describes the background to the derivation of rigid

    pavement design methods, and particular details of the two UK design

    methods, A Guide to Airfield Pavement Design and Evaluation1and The

    BAA Design Guide for Heavy Aircraft Pavements2.

    4.1 The challenge

    A rigid pavement design method has to determine a pavement thickness

    that will provide the required pavement performance, i.e. an amount of

    cracking equal to the failure criterion after the design movements by the

    aircraft mix. Unfortunately, it is not possible to directly predict performance.

    Design methods work by relating pavement behaviour (deflections,

    stresses and strains), which can be approximately calculated, toperformance by a black box function (Fig 4). The black box has to be

    obtained by relating measured performance from full-scale testing, or long-

    term loading, to calculated behaviour for the actual pavements (Fig 5).

    The result for a rigid pavement is an approximate relationship between

    something that can be calculated (concrete stress) and performance in

    terms of allowable load repetitions.

    4.2 Empirical and analytical design methods

    A differentiation is often made between so-called empirical and

    semi-empirical design methods, and analytical or mechanistic

    design methods.

    Empirical design methods combine the behaviour calculations and the

    black-box, into a single empirical (i.e. derived from testing) relationship

    between the required pavement thickness and the loading and subgrade

    strength. The term semi-empirical is used when the original empirical

    relationship has been extended to other situations by the use of theory.

    Analytical or mechanistic design methods use a theoretical method to

    calculate the pavement behaviour, before applying the black box to

    obtain performance. All of the design methods descried in Section 2 are

    basically analytical, although both A Guide to Airfield Pavement Design1

    and Evaluation and Airport Pavement Design and Evaluation3 use

    empirical relationships to deal with multiple slab pavements.

    4.3. Analysis methods

    Two methods of analysing the behaviour of a rigid pavement are used:

    Westergaard solutions for stresses at the centre, edge of corner of

    a finite plate on a dense liquid (Winkler) subgrade (A Guide to Airfield

    Pavement Design and Evaluation1and Airport Pavement Design and

    Evaluation3).

    Burmeister solutions for stresses in a multi-layered semi-infinite

    pavement on an elastic half-space (The BAA Design Guide for Heavy

    Aircraft Pavements2 and LEDFAA4), often known as Multi-Layer

    Elastic Analysis.

    Each method has advantages and disadvantages. Multi-Layer Elastic

    Analysis allows better account to be taken of bases and sub-bases, and

    may have a more accurate subgrade model, but cannot deal with edge orcorner loading. The adequacy of the slab edges and corners has to be

    dealt with by theoretical relationships to the stress at the slab centre,

    which may not be accurate outside a relatively limited range.

    Westergaard solutions can deal with edge and corner loading, but cannot

    take accurate account of the effect of bases and sub-bases.

    More accurate analysis methods using 2D plate theory or 3D Finite-

    Element Analysis are in use in research and development but have not

    yet been incorporated into routine design methods for various reasons,

    including the requirement for re-calibration against performance data.

    4.4. A Guide to Airfield Pavement Design and Evaluation

    Rigid pavement design in A Guide to Airfield Pavement Design and

    Evaluation is based on an analysis of stresses in the concrete using

    solutions of the Westergaard equations, together with an Allowable Live

    Load Stress criterion derived from measured long-term performance of

    a set of pavements.

    4.5. The BAA Design Guide for Heavy Aircraft Pavements

    Rigid pavement design in The BAA Design Guide for Heavy Aircraft

    Pavements is based on an analysis of stresses in the concrete using

    Multi-Layer Elastic Analysis, together with an Allowable Live Load Stress

    criterion derived from US Army Corp of Engineers full-scale testing.

    Analysis is based on the pavement model shown in (Fig 6), using theprogram JULEA.

    4. Derivation of Design Methods

    Drylean ConcreteE = 5171 N/mm2, = 0.2

    h = 150 mm

    Concrete SlabE = 27586 N/mm2, = 0.15

    h = variable

    SubgradeE = 4.970 x k0.7741, = 0.4

    h =

    Rigid Pavement

    0% Horizontal Shear Transfer

    100% Horizontal Shear Transfer

    Figure 6: BAA Pavement Model

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    P.9

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    Pavement Quality Concrete known thickness

    Calculated stress

    Test Aircraft

    Subgradeknown strength

    Coverages

    Stress

    Pavement Quality Concrete known thickness

    Test Aircraft

    Calculated BehaviourTest Pavements with

    measured performanceRelate calculated behaviourto measured performance

    (measured Coverages to Failure)

    Subgradeknown strength

    Subgradeknown strength

    Test Aircraft(measured Coverages to Failure)

    Subgradeknown strength

    Pavement Quality Concrete

    known thickness

    Calculated stress

    Pavement Quality Concrete

    known thickness

    Figure 5. Derivation of Failure Criteria

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    P.10

    Rigid Airfield PavementsDesign & Evaluation Methods

    Guidance Notes

    1. PSA. A Guide to Airfield Pavement Design and Evaluation. HMSO.

    1989.

    2. BAA. Pavement Design Guide for Heavy Aircraft Loadings. BAA.

    1993.

    3. FAA. Airport Pavement Design and Evaluation. Advisory Circular

    150/5370-6DD, Federal Aviation Administration. Washington DC. 7

    July 1995.

    4. FAA.Airport Pavement Design for the Boeing 777 Airplane.

    Advisory Circular 150/5320-16. Federal Aviation Administration.

    Washington DC. 22 October 1995.

    5. WOODMAN G.R. A commentary on A Guide to Airfield Pavement

    Design and Evaluation. Proc. Instn. Civ. Engrs, Transp. 1992. 95.

    Aug. 167-172.

    6. LANE R. WOODMAN G.R. and BARENBERG E.J. Pavement Design

    Considerations for Heavy Aircraft Loading at BAA Airports. Proc.

    ASCE Speciality Conf. Airport Pavement Innovations Theory to

    Practice. Vicksburg, MS. September 1993

    7. PSA. Standard Specification Clauses for Airfield Pavement Works.

    PSA Airfields Branch, 1989.

    8. FAA. Standards for Specifying Construction of Airports. Advisory

    Circular 150/537-10A. Federal Aviation Administration. Washington

    DC. 1 September 1991.

    9. MINISTRY OF DEFENCE. Pavement Quality Concrete for Airfields.

    Specification 33. Ministry of Defence. 1996.

    5. References

    The Britpave Technical Committee would like to thank Graham

    Woodman (WSP Group) for assistance in the preparation of this

    Guidance Note, and John Cairns, Richard Moore and Glyn Davies of TPS

    Consult, Bob Lane of BAA and John Cook of Defence Estates for their

    contribution to its preparation.

    Further details on Britpave are available at

    www.britpave.org.uk

    All advice or information from Britpave is intended for those who will

    evaluate the significance and limitations of its contents and take

    responsibility for its use and application. No liability (including that

    for negligence) for any loss resulting from such advice or information

    is accepted.

    6. Acknowledgements

    1. 2.

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    Century House, Telford Avenue, Crowthorne, Berkshire RG45 6YS

    Tel. 01344 725731 Fax. 01344 761214

    www.britpave.org.uk