Use of Geogrids in Railroad Applications

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    The Use of Geogrids

    in Railroad ApplicationsBy Jim Penman, CGeol, FGS, and Daniel J. Priest, P.E.

    OCTOBER 2009

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    The inclusion of geogrids

    within the unbound aggre-

    gate layers of unpaved and

    paved road structures has

    become increasingly common since the

    products were first introduced more

    than 25 years ago. However, there is

    less awareness within the engineering

    community that the same technol-

    ogy is equally applicable to roadbed

    structures in rail applications. The use

    of geogrid reinforcement in the sub-

    ballast and ballast layers of roadbed

    sections has gained widespread accep-

    tance in many parts of the world. For

    example, national rail authorities in

    some European countries have gone

    so far as to provide formal guidance on

    the use of these materials in their own

    design codes. More recently here in

    the United States, formal guidance on

    the use of geogrids in rail applications

    has been provided by the American

    Railway Engineering and Maintenance-

    of-way Association (AREMA).

    This article is intended to provide

    the background information neces-

    sary to design roadbed structures that

    include geogrids within the sub-ballast

    and/or ballast layer. Reference will be

    made to the extensive research that

    has been undertaken during the last

    20 years to quantify the performance

    benefits associated with the use of

    geogrids in this application. An addi-

    tional section will describe the means

    by which geogrids can provide simi-

    lar benefits in the heavily loaded road

    structures surrounding the rail tracks at

    intermodal facilities.

    Geogrid reinforcementmechanisms

    A geogrid is defined as a

    geosynthetic material consisting

    of connected parallel sets of tensile

    ribs with apertures of sufficient size

    to allow strike-through of surround-

    ing soil, stone, or other geotechni-

    cal material (Koerner, 1998). When

    unbound aggregate is placed on top

    of the geogrid, the coarser particles

    partially penetrate through the aper-

    tures and lock into position (Figure

    1). This effect, commonly referred to

    as mechanical interlock, leads to lateral

    The Use of Geogridsin Railroad ApplicationsBy Jim Penman, CGeol, FGS, and Daniel J. Priest, P.E.

    Figure 1: Mechanical interlock of aggre-gate with a geogrid

    Professional Development Series

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    Learning ObjectivesAfter reading this article you should understand:

    How including geogrids within ballast and/or sub-

    ballast layers can enhance the performance of road-bed structures

    The value provided by including geogrid reinforce-

    ment in rail applications

    The design methods available for geogrid reinforced

    roadbed structures

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    The Use of Geogrids in Railroad Applications

    confinement of the

    unbound aggregate

    and a general stiffening

    of the layer.

    The confining effect of a geogrid

    is especially important in a roadbed

    reinforcement application, as lateralmovement of granular particles is a

    major cause of sub-ballast and ballast

    settlement. However, the stiffening

    effect is also important, particularly

    when construction takes place on a

    less competent subgrade (stiff clay or

    worse). Under these circumstances, the

    stiffer aggregate distributes load more

    efficiently onto the underlying soil,

    thereby reducing both the dynamic

    movement (vertical track deflection

    during a single load cycle) and the

    longer term settlement of the roadbed

    due to subgrade consolidation.

    Previous research andfield studies

    The earliest research undertaken to

    quantify the benefits of using geogrids

    as reinforcement within a roadbed

    structure was carried out at Queens

    University in Kingston, Ontario, by

    Bathurst and Raymond (1987). An arti-

    ficial subgrade (consisting of a series of

    rubber-bonded cork mats) was placedat the bottom of a rigid test box. The

    remainder of the box was filled with

    ballast. Cyclic loads generated by a

    hydraulic actuator were applied to a

    cross-tie placed on the surface of the

    ballast (Figure 2).

    The results of the testing (Figure 3)

    show how for a maximum limit of 25

    mm (1 inch) of permanent settlement,

    the presence of a geogrid within the

    roadbed extended its service life. An

    almost five-fold increase is indicatedfor cases where both a reasonably

    competent subgrade is used (CBR of

    39) and where a soft subgrade condi-

    tion exists (CBR of 1).

    In a further study reported by

    Matharu (1994), a set of full-scale tests

    were undertaken at the British Rail

    (now called Network Rail) test facil-

    ity located in Derby, England (Figure

    4). The main results from the study

    (Figure 5) effectively show that when

    Figure 2: Cyclic loads are applied to across-tie placed on the ballast surface atQueens University.

    Figure 4: Network Rail test facility in Derby,England

    Figure 3: Results of cyclic load tests at Queens University.

    Figure 5: Full-scale tests show that the rate of settlement for a roadbed constructed ona soft subgrade but reinforced with a geogrid is similar to that of the same roadbedconstructed on bedrock.

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    a roadbed reinforced with a geogrid is

    constructed on top of a soft subgrade,

    its rate of settlement is similar to that of

    the same roadbed section constructed

    on bedrock. In addition, the dynamic

    vertical movement occurring in the

    track as the wheel of the train passes isreduced by approximately 40 percent

    when a geogrid is used to reinforce

    the roadbed (Figure 6).

    A rail corridor constructed between

    Hochstadt and Probstzella in Germany

    (Figure 7), presented an opportu-

    nity to observe the benefits of using

    geogrids in a full-scale field situation.

    Plate bearing tests undertaken by the

    German rail authority (Deutsche Bahn)

    demonstrated that the stiffness of a

    400-mm-thick (16-inch-thick) sub-

    ballast was approximately the same as

    a 600-mm-thick (24-inch-thick) unre-

    inforced section. Also, the stiffness of

    both 400-mm (16-inch) and 600-mm

    (24-inch) sections doubled when a

    geogrid was included (Figure 8).

    On a similar project constructednear Cologne, Germany, inclusion of a

    geogrid within a roadbed constructed

    over a soft formation allowed the sub-

    ballast to be reduced from 1,050 mm

    (42 inches) to 700 mm (28 inches).

    Despite the thickness reduction, the

    target modulus of 120 MPa (17,400

    psi) was maintained.

    On a mainline project in Nagykanizsa,

    Hungary, the decision was made to

    include a geogrid within the ballast

    layer during a rehabilitation operation.

    Prior to replacement of

    the existing roadbed,

    the rail line required

    monthly re-surfacing

    maintenance. The dynamic deflection

    of the rail track was measured using

    a rail car, both prior to and follow-

    ing the inclusion of the geogrid within

    the roadbed section (Figure 9). As can

    be seen, the inclusion of the geogrid

    resulted in a dramatic reduction in the

    dynamic deflection taking place during

    trafficking. Service disruptions due to

    the requirement for frequent mainte-

    nance have since been eliminated.

    Previous experienceThere are more than 100 projects

    where geogrids have been used to rein-

    force the sub-ballast or ballast layers

    within a roadbed structure. All of the

    U.S. Class 1 rail companies have used

    geogrids within their roadbed struc-

    tures at one time or another and several

    light/passenger rail companies also have

    experience in the use of these products.

    Following are summaries about a select

    number of these projects.

    Utah Transit Authority (UTA)

    Light Rail Project, Salt Lake

    City (2005-2008) The UTAs

    FrontRunner commuter rail line runs44 miles from the city of Ogden in

    Weber County south to Salt Lake City.

    The line is located in an existing right-

    of-way that runs parallel with the

    Wasatch Mountains. The area is part

    of a natural drainage basin, character-

    ized by poor quality soils and shallow

    groundwater. The subgrade beneath

    the roadbed typically consisted of low-

    Figure 6: Geogrid reinforcement in the roadbed reduces dynamic vertical movement in thetrack by about 40 percent as the wheel of a train passes.

    Figure 7: A rail corridor between Hochstadtand Probstzella, Germany, enabled obser-vation of the benefits of using geogrids ina full-scale field situation.

    Figure 8: In German tests, the stiffness of a 400-mm-thick (16-inch-thick) sub-ballast wasapproximately the same as a 600-mm-thick (24-inch-thick) unreinforced section.

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    The Use of Geogrids in Railroad Applications

    to medium-strength

    cohesive soils and

    loose to dense sand.

    A conventional roadbed

    design, consisting of a thicker sub-

    ballast layer, proved cost prohibitive

    because of the extremely high costassociated with the sourcing of local

    aggregate. Calculations determined

    that the required sub-ballast thick-

    ness could be conservatively reduced

    from 12 inches to 8 inches by includ-

    ing a layer of geogrid at the inter-

    face between the sub-ballast and the

    underlying subgrade. Reducing the

    sub-ballast depth provided signifi-

    cant cost savings and expedited the

    construction process less aggregate

    could be placed in less time. In addi-

    tion, this approach eliminated contact

    with the shallow groundwater and the

    need to relocate the existing buried

    utilities for 900 feet of track.

    Dallas Area Rapid Transit

    Authority (DART), NW1A Rail

    Section, Dallas (2003-2008)

    DART has regularly used geogrids

    within its roadbed sections since

    2003. Traditionally, prior to construct-

    ing its standard roadbed section, the

    underlying cohesive soils would first

    be mixed with lime to a depth of 6inches. Although this provided good

    short-term support for the roadbed,

    this approach resulted in some logisti-

    cal problems.

    Installation of the lime stabilization

    was not well suited for the project

    because of the generation of extensive

    dust clouds in the urban project loca-

    tion. Additionally, the lime stabilization

    installation process requires dry, mild

    weather conditions. Finally, protrud-

    ing utility pipes were present at thetime the roadbed was constructed

    (Figure 10). Since large vehicles are

    required to install the lime, this would

    have made things very difficult for the

    contractor and slowed the construc-

    tion process down significantly.

    To provide an alternate solution

    to the lime stabilization, a structural

    analysis was undertaken to demon-

    strate that the 6 inches of lime treat-

    ment could be avoided by including a

    layer of geogrid at the bottom of the

    standard roadbed section. Installation

    adopting this mechanical stabiliza-

    tion technique was both simple and

    fast, requiring only minor slitting of

    the geogrid in the areas where the

    protruding utilities were located.

    Kansas City Southern Rail

    (KCSR) Company, Victoria to

    Rosenberg Line, Texas (2008)

    During 2008 and early 2009, KCSR

    undertook reconstruction of a 91-mile

    section of former track in south Texas.

    Where weaker subgrades were encoun-

    tered or the original sub-ballast had

    been removed or washed out, normal

    construction methods required place-

    ment of as much as 12 inches of new

    sub-ballast. Instead, a geogrid was

    placed at the bottom of the new sub-

    ballast to reduce the required thick-

    ness to only 6 inches (Figure 11).

    With no local suppliers, sub-ballast

    aggregate was transported from

    quarries in Hatton, Ark., and Mexico,

    resulting in a particularly high cost

    for the installed material . On this

    project, reducing the required sub-

    ballast thickness resulted in significant

    construction cost savings. In total,

    approximately 237,000 square yards

    of geogrid was installed.

    Figure 9: Dynamic deflection of rail track measured using a rail car, both prior to andfollowing the inclusion of geogrid within the roadbed section.

    Figure 10: Utility pipes protruding from a Dallas Area Rapid Transit Authority roadbed areaccommodated by minor slitting of the geogrid.

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    Geogridreinforcedroadbed structures

    The U.K. Approach

    to design In the United Kingdom,

    the national rail authority, Network

    Rail, has been using geogridsbeneath its main line tracks since

    the early 1990s. In addition, it has

    undertaken several in-house test-

    ing programs, both in the laboratory

    and along in-service tracks, to quantify

    the performance benefits associated

    with the use of geogrids in roadbed

    structures.

    Design protocols for roadbed

    structures are prescribed in Network

    Rail (2005). The general approach

    adopted is to attain a target stiffness

    for the roadbed beneath the track. As

    shown in Table 1, this value varies and

    depends on whether or not a geogrid

    is included within the roadbed struc-

    ture a minimum dynamic sleeper

    support stiffness (K) of 60 kN/mm is

    required for an unreinforced roadbed,

    whereas only 30 kN/mm is required

    for the same acceptable level of perfor-

    mance when a geogrid is included

    within the roadbed section.

    For a given set of subgrade condi-

    tions and the same type of aggregate,the stiffness of a roadbed section is

    essentially a function of the thickness

    of the ballast and sub-ballast layers. As

    indicated in the design chart shown in

    Figure 12, the use of a geogrid results

    in a thickness reduction for the roadbed

    of around 8 inches (200 mm) relative

    to a conventional unreinforced section.

    It should be appreciated that

    although the Network Rail design proto-

    cols refer to geogrids generically no

    specific manufacturers products areruled in or out any geogrid product

    proposed for use on its system requires

    a current PADS Certificate. This docu-

    ment is obtained from Network Rail and

    is only issued for products where the

    performance benefits prescribed above

    have been demonstrated in full-scale

    laboratory and field tests. It is not suffi-

    cient simply to offer an equivalent prod-

    uct based on material properties, even

    if these properties exceed those for a

    Figure 11: Geogrid placed at the bottom of a roadbed in Texas reduced the required thick-ness of sub-ballast by 50 percent.

    TABLE 1: Target roadbed stiffness

    Minimum Dynamic Sleeper Support

    Track Condition Stiffness, K (kN/mm/sleeper end)

    Absolute Value 30

    Existing Main Lines

    With Geogrid

    Reinforcement 30

    Without Geogrid

    Reinforcement 60

    New Track Up to 100 mph 60

    Above 100 mph 100

    Figure 12: Network Rail design chart for determining the required roadbed thickness.

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    The Use of Geogrids in Railroad Applications

    product with an exist-

    ing PADS Certificate. To

    date, only stiff geogrids

    with integral junctions have

    obtained PADS certification.

    The U.S. approach to design

    In the United States, most of the freightand passenger rail companies have

    standard roadbed sections for their rail

    systems. When particularly unfavorable

    soil conditions are encountered, extra

    subgrade improvement measures may

    be taken including over-excavation

    and replacement, chemical treatment,

    placement of an asphaltic layer at the

    bottom of the roadbed section, etc.

    Geogrids are also commonly used in

    these circumstances, though in many

    cases, a detailed analysis and design is

    not necessarily undertaken.

    When a more rigorous roadbed

    design is conducted, the approach

    originally developed by Professor

    Arthur Newell Talbot at the University

    of Illinois is still the method of choice

    for many rail engineers. Although it is

    based on research undertaken toward

    the early part of the last century, the

    Talbot method is still listed in the

    current AREMA (2009) design manual.

    The basic Talbot equation is defined

    in Equation1:

    where,

    h = required thickness of ballast plus

    sub-ballast below the ties (inches);

    pc= allowable stress at depth hunder

    cross-tie centerline (pounds per square

    inch (psi)); and

    pa= imposed pressure at face of cross-

    tie (psi).

    The parameter pa is determined

    using Equation 2.

    where,

    IF = impact factor (function of wheel

    diameter and maximum train

    speed);

    DF= distribution factor; and

    A= surface area of cross-tie face

    (square inches).

    Given that this methodology was

    developed almost half a century

    before the first geogrids were

    invented, it is not surprising that thereis no prescribed means to include the

    benefits provided by these materi-

    als. However, as mentioned previ-

    ously, it is widely accepted that one

    of the principle functions of a geogrid

    is to stiffen an aggregate layer and

    thereby provide a more efficient

    means by which to transfer load onto

    the underlying subgrade. If then,

    based on full-scale testing, it can be

    determined what these load-spread

    benefits are for a particular geogrid

    product, the allowable stress param-

    eter (pc) in Equation 1 can be adjusted

    accordingly. A decrease in the pres-

    sure imposed at the subgrade level

    would clearly lead to a reduction in

    the required roadbed thickness.

    Although, up to this point, no formal

    guidance has been provided by AREMA

    on the use of geogrids in roadbed

    structures, a new section describing the

    benefits associated with the use of these

    products has recently been approved for

    publication and will appear in the 2010edition of the AREMA design manual.

    This new section will also include

    details on how to specify geogrids in

    this particular application.

    Ballast life extensionIn the United States, geogrids are

    most commonly used within the sub-

    ballast layer to reduce the required

    thickness of the roadbed. In some

    cases, a detailed design is under-

    taken in accordance with the proce-dures outlined above. In other cases, a

    geogrid is simply added at the bottom

    of a standard roadbed section to effec-

    tively beef it up. Either way, the

    issue being addressed by the use of a

    geogrid is one associated with poten-

    tial instability or excessive settlement

    of the subgrade.

    In mainland Europe, inclusion of a

    geogrid at the bottom of the ballast

    layer is a more common practice. Under

    these circumstances, the principle

    benefit provided by the geogrid is one

    of service life extension. Although this

    approach results in an increase in the

    initial cost of the roadbed section or the

    rehabilitation costs for an existing road-

    bed structure, the ballast life extensioncan easily outweigh this initial invest-

    ment. Based on the laboratory and field

    testing undertaken to date, it is likely

    that a three- to five-fold increase in the

    life of the ballast will be attained when a

    geogrid is included within this layer.

    Heavy-duty pavementstructures

    The loading and unloading area

    around the rail tracks at intermodal

    facilities and in industrial yards can

    provide significant challenges to pave-

    ment designers. The applied loads

    from container stacking equipment are

    extremely high. Even when relatively

    firm subsoil conditions exist, these

    loads can lead to excessive movement

    of the base course and cracking of

    asphaltic layers. Geogrids can be used

    in these structures to help reduce or

    eliminate these problems.

    When soft soil conditions are

    encountered, an initial layer of aggre-

    gate is frequently placed prior toconstruction of the main pavement

    structure. When a geogrid is used

    within this layer, the required thick-

    ness can generally be reduced by 50

    percent to 60 percent. Full details

    of this application and the design

    methodology associated with it are

    provided by Archer (2008).

    When good quality subsoil condi-

    tions exist, a geogrid can also be

    included to enhance the performance

    of the main pavement structure.Up-front construction cost savings can

    be attained by reducing the required

    thickness of the unbound aggregate

    and/or asphaltic layers in flexible pave-

    ments. Recent research has shown

    that some of the newer geogrids can

    achieve a thickness reduction of as

    much as 50 percent in the aggregate

    layer or 30 percent in the asphalt layer.

    The long-term stiffening of the aggre-

    gate layer can also be used to provide

    (Equation 2)

    (Equation 1)

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    component reductions in rigid pave-

    ment structures.

    Alternatively, when life cycle cost

    savings are considered more impor-

    tant, geogrids can be used to extend

    the life of a pavement structure.

    Numerous full-scale tests have beenundertaken to quantify the extension

    of life provided by geogrids in flexible

    pavement structures. Typically, a three-

    to six-fold increase can be expected

    for the better quality geogrid products

    currently available. A detailed descrip-

    tion of the topic of pavement life exten-

    sion in geogrid reinforced pavement

    structures is provided by Penman and

    Cavanaugh (2006), and further details

    on how to quantify the benefits of

    using geogrids in pavement structuresare provided in AASHTO (2001).

    Installation considerationsFor sub-ballast reinforcement appli-

    cations, or where a geogrid is to be

    included within a

    pavement structure,

    the method of installa-

    tion is straightforward. If

    possible, the existing surface is graded

    and crowned to promote positive

    drainage away from the main areaof trafficking. Any protruding objects

    such as tree stumps are removed prior

    to rolling out the geogrid. Overlaps of

    1 foot to 3 feet are generally sufficient

    to ensure that full geogrid coverage is

    maintained during the design life of the

    structure. Only when extremely soft

    conditions are encountered is it neces-

    sary to peg or tie geogrids together.

    Once the geogrid has been rolled

    out, the overlying aggregate can

    be placed and compacted immedi-

    ately. Conventional dump trucks and

    compaction equipment can be used

    provided the underlying subgrade

    has sufficient strength to carry the

    imposed loads.

    For ballast reinforcement applica-

    tions, special provision needs to be

    made because of the clean, coarse

    nature of the aggregate generally used

    for this layer. Under normal circum-

    stances, trafficking with heavy-axle

    trucks on a limited thickness of aggre-

    gate underlain by a geogrid is not aproblem. However, in the case of a

    ballast stone, the lack of a finer frac-

    tion can result in shoving and exces-

    sive rutting at the surface even after a

    fairly limited number of vehicle passes.

    For a relatively thin ballast layer, the

    geogrid can be exposed and pulled

    up during the installation process.

    Therefore, truck trafficking must be

    limited when a geogrid is included

    within the ballast layer.

    Limiting the amount of truck traf-ficking can be achieved in the follow-

    ing ways: Use an access road along the side of

    the rail line so the trucks can drive

    on and off the track area only where

    they are dumping aggregate. If an existing track is located adja-

    cent to the track being constructed,

    side dump aggregate from trains. Once the geogrid is placed directly

    on the sub-ballast, the track can be

    Figure 13: Geogrid is rolled out by a track-mounted undercutting machine prior to newballast being dropped in place.

    REFERENCES

    AASHTO, 2001, Recommended Pract ice for Geosynthetic Reinforcement of the

    Aggregate Base Course of Flexible Pavements, American Association of State Highwayand Transportation Officials Provisional Standard PP46-01.

    Archer, S., 2008, Subgrade Improvement for Paved and Unpaved Surfaces UsingGeogrids, CE NewsProfessional Development Series, October 2008.

    AREMA, 2009, Manual for Railway Engineering, American Railroad Engineering andMaintenance-of-way Association.

    Bathurst, R.J and Raymond, G.P., 1987, Geogrid Reinforcement of Ballasted Track,Transportation Research Board 66th Annual Meeting

    Koerner, R.M., 1998, Designing with Geosynthetics, fourth edition, Prentice Hall,

    Upper Saddle River, NJ.

    Matharu, M., 1994, Geogrids Cut Ballast Settlement Rate on Soft Substructures,Railway Gazette International, March 1994.

    Network Rail, 2005, Formation Treatments, Business Process Document NR/SP/

    TRK/9039.

    Penman, J. and Cavanaugh, J., 2006, Extending Flexible Pavement Life UsingGeogrids, CE NewsProfessional Development Series, September 2006.

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    The Use of Geogrids in Railroad Applications

    constructed directly

    on top. Ballast cars can

    then be used to place

    aggregate before lifting the

    track and compacting with conven-

    tional vibrating tines.

    When ballast is being placedmechanically (for example, using

    a track-mounted undercutting

    machine) the geogrid can easily be

    installed as part of this process. A

    simple modification is undertaken

    to the underside of the machine

    (Figure 13) and the geogrid is rolled

    out immediately prior to the new

    ballast being dropped into place.

    SummaryThe use of geogrids to enhance

    the performance of roadbed sections

    has become much more widespread,

    particularly during the last 10 years.

    Initial cost savings on the order of

    $30,000 per linear mile of track can

    generally be achieved by installing a

    geogrid within the sub-ballast layer and

    reducing the overall roadbed thickness.

    Alternatively, by including a geogridwithin the ballast layer, the period

    between maintenance events can be

    extended by a factor of three to five.

    For heavy-duty pavement structures

    at intermodal facilities and in indus-

    trial yards, geogrids can be used on

    soft soils to reduce by 50 percent to

    60 percent the amount of aggregate

    required to provide a stable platform on

    which to construct the main pavement

    structure. In addition, geogrids can be

    used within the pavement structure

    to reduce the thickness of the aggre-

    gate layer by as much as 50 percent

    and the thickness of the asphalt by as

    much as 30 percent without a reduc-

    tion in structural capacity.

    Jim Penman, CGeol, FGS, direc-

    tor of business development for TensarInternational Corp., is a geotechnical

    engineer with more than 15 years experi-

    ence in geosynthetics. He currently serves

    on AREMA Committee 1 (Roadway

    and Ballast) and can be contacted at

    [email protected].

    Daniel J. Priest, P.E., product

    manager Road Solutions for CONTECH

    Construction Products Inc., holds a

    MSCE from Northwestern University

    and has more than 10 years of experi-

    ence in the geosynthetics industry and

    geotechnical engineering. He can becontacted at [email protected].

    10 PDH Professional Development Advertising Section CONTECH Construction Products Inc.

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    Article Title:The Use of Geogrids in Railroad ApplicationsPublication Date: October 2009

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    1. The primary reinforcing mechanism for geogrids in

    the reinforcement of roadbed structures is:

    a) Tensioned Membrane Effect

    b) Improved Bearing Capacity

    c) Lateral Restraint through Mechanical Interlock

    d) Tensile Resistance at low strain

    e) All of the above

    2. The confining effect of a geogrid:

    a) Reduces lateral movement of the granular particles

    b) Stiffens the aggregate

    c) Helps distribute the applied load more efficiently

    d) Helps reduce the long-term settlement of the

    roadbed structure

    e) All of the above

    3. Research conducted by Network Rail determined that

    a geogrid reinforced roadbed has:

    a) A 40-percent reduction in the dynamic vertical

    movement

    b) More settlement than an unreinforced section

    c) An increase in the subgrade modulus

    d) Less stiffness than a comparable unreinforced section

    e) All of the above

    4. A full-scale field simulation by Deutsche Bahn

    concluded that:

    a) The stiffness of a 16-inch reinforced section was

    approximately equivalent to that of a 24-inch

    unreinforced section

    b) The stiffness of a 16-inch reinforced section was

    double that of a 16-inch unreinforced sectionc) Geogrid inclusion had no effect on the stiffness of a

    24-inch thickness of ballast stone

    d) a and b

    e) All of the above

    5. Which of the following statements are true with

    respect to the design method developed by Network

    Rail?

    a) The maximum thickness reduction provided by a

    geogrid is 4 inches

    b) A reduction in the required thickness of the roadbed

    is based on the additional roadbed stiffness resultingfrom confinement of the aggregate by a geogrid

    c) All geogrids essentially perform the same and

    therefore any geogrid can be used with the Network

    Rail design method

    d) Geogrids can only be used to reduce the required

    roadbed thickness when the subgrade is soft

    e) All of the above

    6. The Talbot equation in the AREMA Manual for Railway

    Engineering:

    a) Is based purely on mechanistic principles

    b) Was developed based on research

    undertaken at the University of Iowa

    c) Helps determine the required thickness

    of the roadbed

    d) Predicts the vertical settlement occurring beneath the

    track structure for a given amount of trafficking

    e) None of the above

    7. How can geogrids be accounted for in a design

    incorporating the AREMA (Talbot equation) design

    method?

    a) The imposed pressure at the face of a cross-tie is

    reduced by a factor of 4

    b) The distribution factor component of the equation

    used to determine the parameter pais doubled

    c) The allowable stress component (pc) in the equation

    is adjusted to account for the presence of the geogrid

    d) The unreinforced roadbed thickness is simply reduced

    by 20 percent

    e) They cant be accounted for since geogrids were not

    invented when the Talbot equation was developed.

    8. Geogrid inclusion beneath the ballast stone can:

    a) Mitigate potential instability

    b) Prevent excessive settlement

    c) Provide a three- to five-times increase in ballast

    service life

    d) a and c

    e) a, b, and c

    9. Inclusion of a geogrid within a heavy pavement

    structure will:a) Provide no benefit to the structural capacity of the

    pavement

    b) Provide a maximum of double the service life of the

    pavement

    c) Allow for the reduction of asphalt thickness by as

    much as 30 percent without a reduction in service life

    d) Allow for the reduction of aggregate thickness by

    a maximum of 30 percent without a reduction in

    service life

    e) None of the above

    10. During installation of the sub-ballast and ballastwhen a geogrid is to be included:

    a) Conventional equipment and compaction methods

    can be utilized

    b) Special equipment should be utilized to ensure the

    geogrid is not damaged

    c) Truck trafficking should be kept off of the section at

    all times

    d) Mechanical ties are always required to prevent two

    adjacent lengths of geogrid pulling apart

    e) None of the above

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