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    National University of SingaporeDepartment of Civil Engineering

    CE 5112

    Structural design and construction of 

    deep basements &cut & cover structures

    Lecture 4/5

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    Words of wisdom

    1. The state of mind which enables a man to do work of this kind ... is akin tothat of the religious worshipper or the lover; the daily effort comes from nodeliberate intention or program, but straight from the heart. "Principles of Research"

    2. The ordinary adult never gives a thought to space-time problems.... I, on the

    contrary, developed so slowly that I did not begin to wonder about space andtime until I was an adult. I then delved more deeply into the problem thanany other adult or child would have done.

    3. The important thing is not to stop questioning. Curiosity has its own reasonfor existing. One cannot help but be in awe when he contemplates themysteries of eternity, of life, of the marvelous structure of reality. It is

    enough if one tries merely to comprehend a little of this mystery every day.

    4. My interest in science was always essentially limited to the study of  principles.... That I have published so little is due to this same circumstance,as the great need to grasp principles has caused me to spend most of my timeon fruitless pursuits.

    5. One thing I have learned in a long life: that all our science, measured againstreality, is primitive and childlike—and yet it is the most precious thing wehave.

    Albert Einstein

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    Words of wisdom

    1. A hundred times every day I remind myself that my inner and outer life depend on the labors of other men, living and dead, and that Imust exert myself in order to give in the same measure as  I havereceived.

    2. There are two ways to live your life. One is as though nothing is a miracle. The other is as though everything is a  miracle.

    3. Before God we are all equally wise - equally foolish

    4. Everything should be made as simple as possible, but not simpler.

    5. The search for  truth is more precious than its possession.

    6. I have never belonged wholeheartedly to a country, a state, nor to a circle of friends, nor even to my own family. When I was still a rather 

     precocious young man, I already realized most vividly the futility of 

    the hopes and aspirations   that most men pursue throughout their lives. Well-being and happiness never appeared to me as an absoluteaim. I am even inclined to compare such moral aims to the ambitionsof a pig. (Written in old age?)

    Albert Einstein

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    Practical Design Considerations

    1) Introduction – sharing of structural engineer perspectives

    2) General requirements – clients, builders & designers

    3) Ground, soil profile & gases

    4) Concept of effective stress vis-à-vis total stress5) Groundwater control

    6) Movements caused by excavation activities

    7) Methods of construction8) Types of earth retaining system

    9) Influence of foundations type adopted

    10) Site Investigation

    11) Geotechnical & structural analysis, soil-structure interaction

    12) Protective measures

    13) Durability and waterproofing

    14) Safety, legal and contractual issues & risk communications4

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    Design and analysis of retaining system

    Shortcoming of Current (UK) PracticeThere is a lack of clear authoritative guidance on appropriatedesign standards or code of practice for the design temporaryretaining system. Consequently there is the absence of an

    industry-wide approach.

    The design of the temporary retaining system within a limitstate framework need to set up to meet both geotechnical andstructural considerations. In the limit state approach ultimate

    failure (ULS) & failure caused by loss of serviceability (SLS)(e.g. excessive deformations) are treated separately & differentfactor of safety apply to each.

    The absence of a standard approach to design has led engineers

    to apply design guidance for permanent works (e.g. BD42/94)to the design of temporary retaining systems. It is never therequirement that the temporary works be designed to the samestandards as the permanent works and this misuse led to over-conservative design.

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    DESIGN STANDARDS (UK)

    Two design standards in use in the UK that cover the derivation of loads for thedesign of retaining systems for deep excavations:

    • BS8002 (1994): Code of practice for earth retaining structures

    • Eurocode 7 (EC7) (1995): Geotechnical design (A pre-standard to replaceBS8002 by 2010).

    BS8002 aims to be a limit state code, but its approach is unclear and so not beenwidely adopted. For singly propped walls, the code is clear about the serviceabilitylimit state (SLS) but unclear about the partial safety factor for the ultimate limitstate (ULS).

    For multi-propped walls, BS8002 recommends the use of the Peck envelopes to

    obtain a prop load, but it does not provide guidance on how this load should be usedin SLS and ULS calculations. This leaves some gaps at the interface where proploads derived from the geotechnical design are used in the structural design.

    Only method that gives characteristic prop and waling loads can there be a proper interface between the geotechnical and structural designs. These characteristic loadscan be used with any of the limit states codes (e.g. steel, concrete) and be factored

    appropriately to give SLS and ULS prop loads.CIRIA Report 104 (1984) was adopted as an unofficial design standard before the

     publication of BS8002 and is still widely used, due to familiarity and also concernsabout BS8002. C104 did not address multi-propped walls, but its principle of factoring soil strength has been used in analyses of such walls by deformationmethods. In a similar way, Eurocode 7 includes the  principle of factoring soilstrength as ULS Design Case C.   6

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    EUROCODE 7: GEOTECHNICAL DESIGN

    EC7 philosophy applies to the design of temporarysupport systems for deep excavations in general,requires a design be verified for three separate cases

    A, B and C. In each case both ultimate andserviceability limit states are specified.

    Case A is not relevant   to the design of temporary

     propping systems.In Case B the   actions   (i.e. loads and imposeddisplacements) that act on the retaining system  are

    increased and characteristic values are taken for the properties of the soil.

    While in Case C lower factors apply to the actions

     but the soil properties are reduced (factored).   7

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    EUROCODE 7: GEOTECHNICAL DESIGN

    The relevant features of the EC7 philosophy are:1. EC7 states that   Case B   is often critical when

    determining the strength of the structural elements

    of retaining walls while Case C is generally criticalin cases where the strength of structural elements is

    not involved. The partial factors for ULS for these

    two cases are CIRIA 517:

    Table EC7 partial factors for ultimate limit states in permanent and transient situations

    1.258

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    EUROCODE 7: GEOTECHNICAL DESIGN

    Partial factors for ultimate limit states Geo/Str DA1Footing, Walls and Slopes

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    Plaxis and EuroCode 7 - issue 16 / Oct 2004Considering the safety of slopes and excavations, distinction is made in EC7 in three different

    design approaches: DA1, DA2 and DA3, whereas in DA1 two sets of partial factors have to be

    considered (DA1/1 and DA1/2). Moreover, distinction is made between Actions, Soil

    Properties and Resistances.

    With the current option of  Ø-C reduction in Plaxis it is, to a certain extend, possible to prove

    that situations comply with DA1 or DA3. DA2 involves an increase of unfavourable

     permanent action. This means for a situation of an excavation that the active soil pressure behind a wall (= unfavourable permanent action) needs to be increased by a factor 1.35.

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    EUROCODE 7: GEOTECHNICAL DESIGN

    Partial factors for ultimate limit states for persistentand transient situations (Japan)

    * Partial factors not relevant, and hence not provided, for Case A.11

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    EUROCODE 7: GEOTECHNICAL DESIGN

    Partial factors for ultimate limit states for persistentand transient situations.

    Case

    Actions Ground Properties

    Permanent Variable

    Unfavourable Favourable Unfavourable tan Ø   c '   c u   q u#

    Case A 1.1 0.90 1.50 1.1 1.3 1.2 1.2Case B 1.35 1.00 1.50 1.0 1.0 1.0 1.0

    Case C 1.00 1.00 1.30 1.25 1.6 1.4 1.4

    # Compressive strength of soil or rock.

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    EUROCODE 7: GEOTECHNICAL DESIGN

    2. Permanent actions include pressures caused by ground,groundwater and free water. Variable actions   may   alter with time and include surcharges and temperature effectson the prop loads.

    3. Design pressure due to ground and groundwater may bederived using the partial factors in Table or by other methods. The partial factors in the Table indicate the levelof safety appropriate for conventional design in mostcircumstances and are to be used as a guide to the required

    level of safety when the method of partial factors is not used.

    Where design values for ultimate limit state calculationsare assessed directly, they are selected such that a more

    adverse value is extremely unlikely to govern theoccurrence of the limit state.

    4. The  characteristic value  of a parameter is one that is a cautious estimate of the value governing the occurrence of limit state. If statistical methods are used the probability of a worse value is not greater than 5%.   13

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    EUROCODE 7: GEOTECHNICAL DESIGN

    5. The Table indicates that for the method of partial factorsall permanent characteristic earth pressures on both sides of the wall are multiplied by 1.35 if the total resulting actionis unfavorable, and by 1 if the total resulting action effect isfavorable. Variable characteristic earth pressures are

    multiplied by 1.50. However,   it also permits the partialfactors to be applied to the action effects derived from thecharacteristic earth pressures (i.e. multiply prop loads from permanent actions by 1.35 and from variable action by1.50). EC7 states that this latter method should be used for the design of the structural elements of a retaining wallsystem.

    6. For ULS, the design water pressures  should be the most unfavorable values occur in extreme circumstances. For SLS the design water pressures should be the most unfavorable which could occur in normal circumstances.

    7. For ULS calculations, the excavation depth should beincreased by 10% of the height beneath the lowest support, up to a maximum of 0.5 m.   14

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    EUROCODE 7: GEOTECHNICAL DESIGN

    Design water pressures are affected by Tide and Rainfall

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    EUROCODE 7: GEOTECHNICAL DESIGN

    & Distributed Prop Loads (DPL)Analyses of propped excavations in soft clay, stiff clay and drysand have been undertaken to establish that Case B is likely togive the higher ultimate prop load in most situations (Case C

    only gave significantly higher loads for 3 out of the 20 propsfor excavations in dry sand).   Case C aims to address uncertainty in the ground. Where Case C gives the higher propload, the distributed prop load method will usually account for this because it is based on actual field data. The recommended

    characteristic DPL diagrams have been assessed conservativelyand it is reasonable for designers in conventional situations toconclude that only Case B has to be considered.

    The distributed prop loads (DPL) are the action effects of 

    ground and water pressures. Following EC7 Case B philosophy, characteristic values of the DPL can be multiplied by 1 to give the serviceability limit state (SLS) design values,and by 1.35 (permanent) or 1.50 (variable) to give the ultimatelimit state (ULS) design values.

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    EUROCODE 7: GEOTECHNICAL DESIGN

    & Distributed Prop Loads (DPL)METHOD OF DESIGN

    The method of establishing the SLS and ULS prop

    and waling loads from the DPL diagrams isstraightforward. The SLS prop and waling loads arecalculated from the characteristic distributed propload diagram recommended for the relevant soil class

    with the partial factor of 1.0.   The ULS prop andwaling loads are obtained by multiplying thecharacteristic prop loads by a factor of at least 1.35,except for the load contributed by variable actions

    such as surcharges that should be multiplied by 1.50.

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    Characteristic Distributed Prop Load diagrams for

    Class A, B & C soils

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    Characteristic DPL diagrams for Class A soils

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wall

    Simplified soil profile andstrutting/excavation sequence

    of the “Swiss Tower” project,

    Taipei. (Chang & Wong)

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wall

    Soil profile andgeometry adopted for

    parametric study using

    computer program

    EXCAV95

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wallWhen the Ei/c u ratio falls between 200 to 500, except for the lowest strut, the

    reference APD underestimates strut forces by as much as 100%. As the Ei/c uratio increases to 1000, the reference APD becomes more applicable.

    (a) Strut force intensity vs. soil’s initial

    tangent modulus (Ei/cu×10-1)

    (b) strut force exceedance ratio vs.

    soil’s initial tangent modulus.22

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wallStrut forces is dependent on diaphragm wall stiffness. The greater the wall

    stiffness, the larger are the strut forces. This phenomenon is believed to be

    linked to the arching effect induced by wall displacement. Stronger arching

    effect associating the larger displacement of thinner walls reduces the

    corresponding strut forces.

    (a) Strut force intensity vs. wallstiffness

    (b) Strut force exceedance ratio vs.wall stiffness

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wall

    Effect of wall penetration (D)

    As the normalized wall penetration, D/T, increases beyond a ratio of  0.5, the

    strut forces do not vary significantly.

    But when D/T drops below 0.5, the effect of wail penetration becomes

    noticeable with an increase in the exceedance ratio. An exceedance ratio of 2

    seems to be sufficient in enveloping the observed strut force variations.

    Effect of excavation width (B)Varying excavation widths appear to have no significant effect on the strut

    force as long the excavation width is about 3 times the excavation depth for a 

    constant B/T ratio of 1.

    For a narrower excavation, more passive resistance below the excavation levelis mobilized due to the interaction from the side walls, which results in

    reduced strut forces, especially at the lower strut levels. It appears that, when

    the B/H ratio is below 1, the reference APD is able to compute strut forces

    satisfactorily.   25

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wallEffect of thickness to hard stratum (T)

    The thickness of soft clay below the excavation level is seen to impose a 

    strong effect on the strut force. When the T/B ratio drops below 1, the

    restraining effect from the presence of hard stratum at shallow depth reducesthe strut force. A maximum of 80% reduction is noted at the lowest strut level

    as the T/B ratio scales down from 1 to 0.25.

    Conversely, as the T/B ratio increases above 1, the effect of clay thickness

     becomes negligible. It is, therefore, postulated that, for a braced excavationwith a T/B ratio more than 1, the layer of soil below a depth of l.0 B from

    the excavation level could be neglected from the strut force analysis.

    Effect of number of strut levels

    Regardless of the number of struts, the shape and the magnitude of theapparent pressure diagram tend to remain the same, provided that no

     buckling develops in any of the strut. A strut force exceedance ratio of 2 is

    sufficient in encompassing all variations of the strut forces.

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wallBy adopting the amended APD and a factor of safety of 1.5 for temporary

    work, the factored strut forces are sufficient in encompassing the maximum

    strut force exceedance ratio, regardless of any variation to the configuration.

    The amended APD is derived from cases with T/B ratio greater than 1. Whenthe T/B ratio is less than 1, the strong restraining effect from the underlying

    hard stratum reduces the strut force.

    Proposed amended

    Apparent Pressure

    Diagram is the strut forceexceedance ratio

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wall

    Correlation among strut force exceedance ratio, Ei/cu value and cu*/H value.

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     Apparent Pressure Diagram for braced excavations in

    soft clay with diaphragm wall (Chang & Wong)

    CONCLUSION

    1. For braced excavation in soft clay with diaphragm wall, the Terzaghi-Peck 

    Apparent Pressure Diagram tends to underestimate the strut forces when

    the ratios of  Ei/c u and c u*/H fall below 500 and 1.5 respectively.

    2. The forces at the top and the lowest strut levels tend to be near or below

    the value computed from the reference APD, regardless of the excavation

    configuration and shear strength variations.

    3. The shape and the magnitude of the Apparent Pressure Diagram are not

    affected by the number of strut levels.

    4. For T/B ratio > 1, a value of 2 appears sufficient in enveloping all possible

    variations in the strut forces.5. For T/B ratio < 1, the restraining effect imposed by the underlying hard

    stratum reduces the strut force. The shallower the soft clay deposit, the

    smaller are the strut forces.

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    Condition For the Use of DPL Method

    The distributed prop load method is based onempirical relationships and its selection for use on

    any project should be considered carefully.   It is

    advisable to use one or more alternative methods as

    well and to compare the results obtained.   When

    considering whether the DPL method is appropriate

    the engineer should consider:

    1. Is the specific site stratigraphy covered by the data set?

    2. If the answer to (1) is “No”, do the site specific soils

     behave in a similar way to the soils in the data set, i.e. dothe specific soils behave differently from the general Class

    A, B or C soils? Is it reasonable to apply DPL

    recommendations to the site?30

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    Condition For the Use of DPL Method3. Is the geometry of the excavation and propping system within the

    range represented by the data set? This should be considered

     particularly in regard to:

    • width of excavation

    • depth of excavation

    • number of props and their horizontal and vertical spacing

    • duration of propping

    • installing props before excavating below the prop level

    4. Do the limitations stated for each soil class apply, e.g. T/B < 0.5 &

    T/H < 0.8 for excavations in soft clay where the wall enhances base

    stability?5. Are there any other unusual features of the project, e.g. very high

    surface surcharges, which might make the DPL recommendations

    inapplicable?

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    Condition For the Use of DPL Method

    Sufficient Toe Embedment

    The construction of the DPL diagram for each case

    history assumes that the bottom of the excavation is a 

     prop. The soil in front of the toe of the wall isassumed to support the wall between the base of the

    excavation and halfway towards the lowest prop, as

    well as the earth pressures from the retained groundover the embedment length. The engineer should

    check that the wall embedment is sufficient to satisfy

    this assumption, with a factor of safety on the passive pressures or soil strength appropriate to the allowable

    movement of the toe of the wall.

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    Condition For the Use of DPL Method

    SurchargesThe characteristic DPL diagrams include for thenominal surcharges associated with generalconstruction activities and adjoining roads. Thesewill not generally exceed a distributed surcharge of 10kPa.   Identifiable additional loads such as tower cranes, mobile cranes, material storage and loads

    from adjacent buildings should be treated separately.These extra surcharges should be   multiplied by theRankine active earth pressure coefficient and added to

    the characteristic DPL diagram, provided they are a second order contribution to the load diagram. If thesurcharge effect contributes to a significant portion of the earth pressure, the resulting prop loads should be

    corroborated by another method.   3333

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    Condition For the Use of DPL Method

    Preload

    The characteristic DPL diagram can be applied to

    situations where preloading is used to remove slack in

    the support system. Preload applied to remove slack should not exceed 15% of the characteristic prop load.

    Higher values are not usually required and may result

    in prop loads that exceed the characteristic value.

    Some authority asked for  50% preload!

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    C di i F h U f DPL M h d

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    Condition For the Use of DPL Method

    TEMPERATURE EFFECTS (Not thermal)The characteristic DPL diagrams do not allow for changes intemperature but it is not necessary to increase the calculatedloads to allow for temperature increases. It is insteadrecommended that the temporary support system should bedesigned for the characteristic prop loads. The resultingstructural members should then be checked using the simpleserviceability and ultimate limit state criteria. These criteria will often be satisfied.

    Prop removalAvailable data indicate prop removal can increase the propload by up to 30%, but may equally have very little effectdepending on the specific circumstances of the site.

    The characteristic DPL diagrams   do not include for propremoval. Prop loads should be established from DPL diagramsfor both excavation to final level & the subsequent sequence of removal of props. However, the higher loads so calculatedneed not control the structural design, as it may be possible toadopt lower partial safety factors.   35

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    C diti F th U f DPL M th d

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    Condition For the Use of DPL MethodMixed support systems

    The case histories on which the method is based do not permit

    an assessment to be made of the influence of ground anchors

    on prop load distributions.   The potential for the stiffer 

     propping system to attract a disproportionate amount of theload   relative to the prestressed, but less stiff ground

    anchorages. The high prop loads is the result of lower than

    expected stiffnesses for the ground anchorages.

    Where props are used as part of a combined support system of 

     props and anchors the DPL method of calculating prop loads is

    not applicable. (FEM)

    Frost effects

    Case history in Norway showed frost effects on the ground can

    increase the prop loads dramatically (e.g. 800%). Such frost

    effects are not included in the characteristic DPL diagrams. 3636

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    Structural considerations

    Eccentric Axial LoadingNo eccentricity of axial loading should be assumed in thedesign   if the end plate is grouted/concreted to a concretewaling or the connection to a steel waling has been designed to

    eliminate eccentric loading e.g. by spherical bearings.For other situations, CIRIA Special Publication 95 gives thefollowing advice on the eccentricity of axial load to be used for the prop design:

    • for walings made from a single section (UC or UB), theeccentricity should be approximately 10% of the overalldimension of the prop in the vertical plane

    • where the walings are constructed from twin beams, theeccentricity in the vertical plane should be ½ the distance between the webs of the two beams.

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    Structural considerations

    Accidental Loading

    The provision in the design for accidental loading, & possible

    loss, of a prop depends on the risk and consequences of failure.

    These are matters of judgement for the designer and the project

    team, which should always be given thorough consideration

    and evaluation.

    It is recommended that this loading condition should beconsidered in the design unless positive steps are taken in the

    management and operation of the site to eliminate effectively

    the risk of accidental loading or loss of a prop.

    CIRIA Special Publication 95 suggests  accidental loading be

    considered as a load of  10 to 50 kN applied normal to the prop

    at any point in any direction.

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    Structural considerations

    WALINGSTue design and construction details of walings are covered in CIRIA SpcialPublication 95, to which reference should be made. Some of the salient

     points are mentioned here.

    While the waling will be designed for a uniform loading, the actual loadwill vary considerably depending on the variation of the ground and itsmovement, any arching effect, the construction methods, quality of 

     packings between the wall and the waling, etc. It is therefore normal to usea simplified approach to design.

    Goldberg et al (1976) recommended using  80% of the design prop loaddetermined from the Peck envelope for   design of the waling   to theAmerican permissible stress code (AISC). The reduction was an allowancefor  arching of the soil resulting from deflection of the waling between the

     props.

    The waling deflection depends on the stiffness of the wall and waling, andthe spacing of the props. It is likely to be small for stiff walls, especially instiff ground conditions, e.g. Class B and C soil profiles. Consequently, it isrecommended that the waling is designed for  100% of the prop design load

     unless the effects of arching are assessed.39

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    Structural considerations

    The walings should be   continuous over two or more supports   and bedesigned for a  max. bending moment of wL²/l0, where w is the walingload per unit length and L is the horizontal prop spacing. If continuity isnot possible, it should be designed for wL²/8. Similarly   the end of a continuous waling acts as cantilever about the last support and should be

    designed for  wL²/2.The waling design should consider the effects of load increases fromtemperature rise in the same way as for props.

    Where a waling acts as a prop to another waling or the arrangementinvolves diagonal props, the waling has to resist both the axial (in-plane)load and the bending moments and shears due to the out-of-plane load. If there is an imbalance in the axial force in the complete waling system, theload is transferred into the ground via the wall. Sufficient shear connection

     between wall and waling is needed and the wall must provide bending &shear capacity for these in-plane forces in combination with those out-of-

     plane. It is also necessary as part of the wall design to consider how thewall will act to transfer the in-plane loads into the ground (e.g. as a diaphragm or as individual elements).

    Where raking props are used, the waling and wall should be designed to

    support the vertical component of load with minimal deflection.   40

    40

    Structural considerations PROGRESSIVE COLLAPSE

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    Structural considerations - PROGRESSIVE COLLAPSE

    The design of individual props should be robust but in addition the designer 

    should also consider the implications of the accidental loss of a prop. Thismay be done in one of two ways:

    1. Incorporating the loss of a prop into the design of the support system.

    This design case could be combined with reduced partial safetyfactors, reflecting the accidental nature of the loading. Collapse of theexcavation would be prevented, but there could be large wall andground movements close to an ultimate limit state. These movementscould damage adjoining property and impair the watertightness of theretaining wall and its subsequent serviceability.

    2. A risk assessment and management strategy to eliminate the risk of 

    accidentally damaging/removing a prop.This aspect of the design of the temporary propping system is of interest to the client and the engineer as well as to the maincontractor, and is often interpreted differently. Widely differingviewpoints were expressed. Any requirements of the client/engineer 

    should be specified in the tender documents.Some of the engineers contacted during the study considered it good

     practice to design the props to have greater capacity than the waling. Thedifference in capacities is chosen such that the waling exhibits signs of overloading before the props become overloaded and hence provides an

    early warning of impending prop failure.  41

    41

    Structural considerations

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    Structural considerations

    PROP REMOVALProp removal is often the most critical stage of construction for both the prop and walls. It can be the

    worst design case and is easily overlooked. Theremoval of props may cause the largest prop loads andwaling spans.

    It is important that the general principles of the propremoval sequence are agreed between the temporaryworks designer and the site staff (and that anyconstraints arising from the permanent works are

    identified). A situation in which the constructedsupport system is not sufficient to permit the sitestaffs preferred method and   sequence of removalshould be avoided.   42

    42

    Structural considerations

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    Structural considerations

    It may be appropriate to adopt reduced partial safety factors for theelements of the support system during prop removal. This will depend primarily on:

    the load increase from removal of other props

    duration of increased loading

    whether the increased loading is combined with the maximumtemperature rises

    the amount of support offered by the constructed permanent works,and hence the consequences of potentially excessive prop

    deformations.Where walings carry axial (in-plane) loads, the props will be acting asintermediate supports, so reducing the effective length of the waling. It isnecessary to check that the waling will not buckle when the props areremoved.

    Methods of prop removal can increase the prop and waling loads. Propsmay be unloaded by jackmg the wall back but the movement required to dothis can give rise to very large increases in load. The structural capacity of the prop, connection, waling and wall may be exceeded unless such jacking

    was allowed for in the original design of the support system.  43

    43

    CIRIA 580 Geotechnical characterization of

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    CIRIA 580 – Geotechnical characterization of

    retaining walls

    CIRIA 580 establishes design requirements

    for  geotechnical categories 1, 2 and 3. Prior to the geotechnical investigations, the

    designer should assign a geotechnical

    category to the earth retaining structure. Thecategory indicates the degree of effort

    required for site investigation & design. This

    should be reviewed and changed (if necessary)at each stage of the design and construction

     process.44

    44

    Geotechnical categorization (Simpson and Driscoll, 1998)

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    Small & relatively simple?

    Unusual & exceptionally

    difficult ground?

    Structure very large &

    unusual?

    Ground conditions known from

    comparable experience to be

    straightforward, routine design &

    construction methods?

    Excavation below water table &

    comparable experience indicate

    straightforward solution?

    Site free of abnormal risks e.g.

    unusual loading, seismic risk?

    Negligible risk to life &

    property?

    CATEGORY 1

    Small & relatively simple

    Earth retaining system less

    than 2m in depth

    CATEGORY 2

    Conventional

    Retaining system supporting

    soil & water Bridge piers & abutment

    CATEGORY 3

    All other earth retaining

    systems

    High seismic area?

    Loading conditionsunusual or abnormal?

    Abnormal risks?

    No No

    No

    No

    No

    No Yes

    Yes

    Yes

    Yes

    Yes

    Yes

    Yes

    Yes

    Yes

    Yes

    No

    No

    No

    No

    No

    Yes

    Geotechnical categorization (Simpson and Driscoll, 1998)

    45

    45

    CIRIA 580 Geotechnical categories EC7 (1995)

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    CIRIA 580 – Geotechnical categories EC7 (1995)

    Category 1Walls are small and relatively simple structures with thefollowing characteristics:

    retained height does not exceed 2 m

    ground condition are known from comparable experienceto be straightforward enough to allow routine methods of design and construction to be used

     previous experience indicates that a site-specificgeotechnical investigation will not be required

    there is negligible risk to property or life.

    Comparable experience is defined as:

    documented or other clearly established information relatedto the ground being considered in design, involving the sametype of soil & for which similar geotechnical behavior isexpected, & involving similar structures. Information gained

    locally is considered to be particularly relevant.  46

    46

    CIRIA 580 Geotechnical categories EC7 (1995)

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    CIRIA 580 – Geotechnical categories EC7 (1995)

    Category 2walls comprise conventional structures with no abnormalrisks or unusual or exceptionally difficult ground or loadingconditions. These walls require site-specific geotechnical

    data (e.g. a desk study and ground investigation) to beobtained and analyses to be carried out.

    The   majority   of embedded retaining walls fall intogeotechnical category 2.

    Category 3

    walls are structures or parts thereof that do not fall withinthe limits of geotechnical categories 1 & 2. These include

    large or unusual structures, structures involving abnormalrisks, or unusual or exceptionally difficult ground or loadingconditions & structures in highly seismic areas.

    Specialist advice should be sought to deal with special circumstances adequately.47

    47

    CIRIA 580 – ON ANALYSIS

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    CIRIA 580 ON ANALYSIS5 major elements of geotechnical design:

     understanding the geological and

    hydrogeological setting of the situ and its

    environs & the historical development of

    the site

    determination of ground stratigraphy &groundwater conditions

     understanding soil behavior 

     undertaking calculations & analyses

    applying empiricism based on sound

     judgment & experience.

    48

    48

    CIRIA 580 – ON ANALYSIS

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    CIRIA 580 ON ANALYSIS

    Retaining walls with a  stabilizing base

    In some circumstances, a wall with a 

    stabilizing base (i.e. a platform extending a short distance in front of the wall with a rigid

    connection at formation level) can represent a 

    more economic solution than either a rigidly propped wall or an unpropped wall of deeper 

    embedment.

    Finite element analyses by Powrie & Chandler 

    (1998) suggest an optimum stabilizing base

    width of about ½ the retained height  49

    49

    CIRIA 580 – ON ANALYSIS

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    CIRIA 580 ON ANALYSIS

    Forces acting on a stabilizing base retaining wall

    Relief Platform

    50

    50

    CIRIA 580 – ON ANALYSIS

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    CIRIA 580 ON ANALYSIS

    Retaining walls with a  stress-relieving platform

    If some excavation and/or fill is needed on the retained side of 

    the wall, there maybe an advantage in constructing a stress

    relieving platform, attached rigidly to the wall stem somedistance below the top and protruding horizontally into the

    retained soil. The relieving platform will reduce bending

    moments in the wall by:

    (a) applying a reverse moment at platform level, due to theweight of the soil on top of it, &

    (b) reducing vertical stresses in the retained soil below

     platform level. For maximum efficiency, the platformshould extend far enough into the retained soil to reducevertical stresses adjacent to the wall, & there may need to be a void below it.

    51

    51

    CIRIA 580 – ON ANALYSIS

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    Pressure redistribution - arching

    Local variations in wall movement and rotation can, for 

     propped or anchored walls, lead to non-linearities in lateral

    stress distribution. This redistribution of stress away from the

    linear-with-depth variations assumed in simple limitequilibrium analyses can be exploited to reduce design bending

    moments and wall depth if a soil-structure interaction analysis

    is carried out.

    Reduction of lateral stress

    in the retained soil due toarching on to a rigid prop

    52

    52

    CIRIA 580 – ON ANALYSIS

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    For  stiff wall, where the deflection at the level of the excavated soil surface

    was of the same order an the deflection at the toe, the stress distribution infront of the wall under working conditions is approx. triangular. Measured

     bending moment were in agreement with those from a limit equilibrium

    calculation based on a fully active triangular stress distribution behind the

    wall and a smaller-than-passive (is factored) triangular stress distribution in

    front.

    For  flexible wall, so that the deflection at excavation level was significantly

    greater than at the toe, the centroid of the stress distribution in front of the

    wall under working conditions was raised. This led to smaller anchor loads

    and bending moments than those given by the factored limit equilibriumcalculation.

    Components of walldisplacement & definition

    of a stiff wall

    A stiff wall has e  ≤  t

    Deflection @

    excavated soil

    surface eDeflection @ toe, t

    53

    53

    CIRIA 580 – ON ANALYSIS

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    Changing wall EI to allow for cracking, creep of concrete54

    54

    CIRIA 580 – ON ANALYSIS

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    The high short-term stiffness on OA is required to drop to the

    lower long-term stiffness on line OBC. Consider an element of 

    structure that in the short-term baa been stressed to point A. In

    the course of time, its state will move to be somewhere on line

    BC. If it is in a situation in which there is no change of strainduring this change, stresses will simply relax and it will move to

     point B. If, on the other hand, the load on the clement cannot

    change, it wilt creep and move to point C.

    If an element is at point A and the only change made is to

    change the Young’s modulus in the data, further behavior will

     proceed along tine AD. This does not represent creep or 

    relaxation. The soil-structure interaction analysis should ensurethat even if nothing moves, stresses will change from point A to

     point B. If these new stresses are no longer in equilibrium, the

    analysts should then indicate further strains such that the stress

    state will move up line BC.  55

    55

    CIRIA 580 – ON ANALYSIS

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    Wall flexural stiffness

    Appropriate values of the flexural stiffness of the wall, EI,

    should be used at each stage of the analysis to model wall

    stiffness during construction & in the long term. Where E, is

    the uncracked short-term Young’s modulus of concrete(typically, E0 = 28 GPa) & I is the 2

    nd moment of area of the

    section.

    The calculated load effects & wall deflection will depend upon

    the magnitude of the wall flexural stiffness adopted inanalysis. The value of EI assumed should be appropriate for 

    each construction & long term stage. For reinforced concrete

    walls, this should allow for the effects of flexural crack &

    concrete creep.

    In subgrade reaction & pseudo-finite element analyses, it is

    necessary to input explicitly the wall flexural stiffness EI for 

    all stages.  56

    56

    CIRIA 580 – ON ANALYSIS

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    Reinforced concrete wallsFor reinforced concrete, the value of EI should strictly be

    determined for the section with the value changes overtime &

    with long term creep, equal to 50% of the short-term uncracked

    value at infinity. EI should therefore be calculated at each

    construction & long term stages.

    It is appropriate to adopt 0.7EI & 0.5EI during the construction

    & long-term stages respectively. The way in which the reductionin EI is applied in the analysis should be considered carefully in

    a soil-structure interaction analysis. This approach is required

    in moat available computer programs in which stiffness

    represents response to load increments only. The same approach

    may be used to model corrosion of steel sheet piles, in which I

    reduces with time.57

    57

    CIRIA 580 – on steel sheet pile walls

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    Values of I for steel Larssen (U-profile), Frodingham (Z- profile), box and high-modulus piles are given by

    manufacturers. The development of full section modulus in a 

    sheet pile wall is based on the assumption that any 2 adjacent

    flanges are able to work together in bending (composite).

    Z-profile steel sheet piles have their interlocks in the flanges to

    develop the full section modulus of the combined wall

    (BS8002). It should be noted that with Z-profile piles, theeffective section modulus will be reduced if the piles are

    allowed to rotate about a vertical axis  during driving: as a 

    rough guide, 5º of rotation will result in a 15% reduction in

    the combined sectional modulus. The construction tolerances

    compatible with the design assumptions must be specified in

    this respect.58

    58

    CIRIA 580 – on steel sheet pile walls

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    CIRIA 580 on steel sheet pile walls

    U-profile steel sheet piles   incorporates an interlock 

    which is located on the centre line or neutral axis of 

    the wall. If the two piles are able to displace relative to

    one another along the interlock, then the full modulusof the combined sections will not be realized.  These

     piles rely on the transfer of longitudinal shear stress

     between adjacent piles through friction at theinterlocks or clutches. It is likely that shear will be

    generated by surface irregularities, rusting, lack of 

    initial straightness & soil particle migration into theinterlocks during driving.

    59

    59

    CIRIA 580 – on steel sheet pile walls

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    For U-profile sheet pile walls, it is common for toassume the full combined modulus, except in

    circumstances where shear transfer may not be fully

    effective, e.g.:• piles forming cantilever walls

    • piles cantilevering a significant distance above or 

     below walings• piles driven into and supporting silts and/or soft clay

    • piles retaining free water over a part of their length

    • piles that are prevented (e.g. by rock or obstructions)

    from penetrating to their required toe level.

    60

    60

    CIRIA 580 – on steel sheet pile walls

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    For the earlier circumstances, it is common by

    welding, pressing or other means, to connect the U-

     profile sheet pile sections together to develop the

    necessary shear resistance so that the full combinedsection modulus can be relied upon in design.

    Friction between the interlocks probably contributeat least   40%   of the full section modulus

    development.

    Little is known about the effect of clutch slippage insheet pile walls; significant further research is

    required in this area to improve understanding.61

    61

    CIRIA 580 – on axial stiffness of supports

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    In subgrade reaction & pseudo-finite element analyses, it isnecessary to input explicitly the axial stiffness,   k  (in kN/m

    /m run) of any temporary or permanent props calculated as

    follows:

    k =AE(cos  2   )/Ls 

    Where

     F  = Young’s modulus of the material comprising the prop A = cross-sectional area of the prop

     L = effective length of the prop (typically the half-width of 

    the excavation that the prop spans) s  = prop spacing

      = angle of inclination of the prop from the horizontal62

    62

    CIRIA 580 – on axial stiffness of supports

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    If concrete slabs are used to support the wall (e.g. ina top-down construction sequence), the calculated

    axial stiffness of the slab should be reduced to allow

    for any openings. For concrete stabs and props, theYoung’s modulus should be reduced to allow for the

    effects of creep as described earlier.

    63

    63

    CIRIA 580 – EFFECT OF METHOD OF ANALYSIS

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    Four generic retaining wall design & commercially

    available software:

    •   limit equilibrium methods: STAWAL; ReWaRD

    •   subgrade reaction & pseudo-finite element

    methods: FREW; WALLAP

    •   finite element & finite difference methods:

    SAFE; PLAC

    The problems analysed are defined in the followingfigures.

    64

    64

    CIRIA 580 – EFFECT OF METHOD OF ANALYSIS

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    Cantilever Wall - effective stress analysis

    65

    65

    CIRIA 580 – EFFECT OF METHOD OF ANALYSIS

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    Propped Wall - effective stress analysis

      66

    66

    CIRIA 580 – EFFECT OF METHOD OF ANALYSIS

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    Cantilever Wall - total stress analysis  67

    67

    CIRIA 580 – EFFECT OF METHOD OF ANALYSIS

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    Propped Wall - total stress analysis

    68

    68

    CIRIA 580 – EFFECT OF METHOD OF ANALYSIS

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    The main conclusions:•   in circumstances where there is little or no stress

    redistribution, e.g. cantilever walls, simple limit

    equilibrium calculations & soil-structure interaction

    analyses (subgrade reaction or pseudo-finite element

    methods & finite element or finite difference methods) are

    likely to give similar wall embedment depth & wall

     bending moments•   for propped or anchored walls where stress redistribution

    will occur, design by limit equilibrium calculations will

    result in deeper walls with higher wall bending moments

    compared with those obtained from soil-structureinteraction analyses. Use of soil-structure interaction

    analyses may result in significant savings in wall material

    costs, depending upon project & site-specific details   69

    69

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    CIRIA 580 – EFFECT OF METHOD OF ANALYSIS

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    •   for walls embedded in soils where the total

    horizontal pressures near the base of the wall on

    the retained side are similar in magnitude to those

    on the restraining side (soft clay), the results of 

    calculations will be very sensitive to relatively

    small changes in pressures around the wall. The

    results of such calculations will also beinfluenced by node spacing in beam spring &

     pseudo-finite element models, & mesh details in

    finite element & finite difference models. Thedesigner should carry out sensitivity checks on

    the effects of such variations in the models

    adopted.  71

    71

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    CIRIA 580 – DESIGN PARAMETERS

    Soil parameters required for various design approach

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    Soil parameters required for various design approach

    Note: 1. Special input parameters required depending upon analytical medal adopted

    73

    73

    CIRIA 580 – DESIGN PARAMETERS

    Knowledge of the soil density (unit weight) & shear strength is

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    Knowledge of the soil density (unit weight) & shear strength is

    essential in the design of an embedded retaining wall & also general

    appreciation of the following soil properties:

    classification and index properties, e.g. particle size

    distribution, moisture content, plasticity indices (for fine-grained soils)

    soil permeability.

    Knowledge of in situ stress conditions, particularly the value of thein situ earth pressure coefficient K o, & soil stiffness is essential in

    soil-structure interaction analyses.

    Stiff over-consolidated   soils have several soil strengths: peak,

    critical state, residual, and drained or undrained. There is also a range of soil stiffnesses, depending on shear strain.

    Backfill materials may require parameters for the determination of 

    compaction and swelling pressures.

      74

    74

    CIRIA 580 – DESIGN PARAMETERS

    st

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    The 1

    st

    step is to decide which soil parameters are appropriatefor a particular analysis. Then to consider other issues such as

    reliability, selection of values for design & factors of safety.

    It may be appropriate to adopt different selected values for a 

     parameter in different limit states & design situations. E.g., in

    total stress analysis, the selected value of the undrained shear 

    strength of the clay should consider the mechanisms or modes

    of deformation being considered for the wall. Differentstrengths will be required for a shear failure in fissured

    material depending upon whether the shear surface in free to

    follow the fissures or is constrained to intersect intact

    material. A range of values should be considered. Thesevalues should also allow for any  softening due to potential

    changes in moisture content   and the   effect of excavation

    disturbance.   75

    75

    CIRIA 580 – DESIGN PARAMETERS

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    Many soil parameters are not true constants but depend uponfactors such as stress & strain levels, mode of deformation,

    type of analysis, etc. Under working conditions while

    deformations are comparatively small, some or all of the soil

    will operate at below peak strength. Under ULS wheredeformations are comparatively large, the soil may operate

     beyond peak strength conditions & may dilate to approach

    critical state values (BS 8002, 1994).

    The designer of an embedded wall in a stiff over-consolidated

    soil should decide on the appropriate strength to use in a 

     particular circumstance. The residual strength might be

    appropriate where sliding along a pre-existing polishedrupture surface represents a potential failure mechanism, but

    it will in general be far too conservative in other situations.

    76

    76

    CIRIA 580 – DESIGN PARAMETERS

    The choice is therefore usually between the peak & the critical

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    The choice is therefore usually between the peak & the critical

    state strength & the following points should be borne in mind:

    for a given soil, the critical state angle of shearing

    resistance, Ø’crit, is a constant over the range of stresses

    normally encountered in geotechnical engineering.Conversely, the development of a peak angle of shearing

    resistance, Ø’ peak , depends on soil-structure & potential for 

    dilation. The latter depends in turn on the soil density &

    the average effective stress during shear 

    failure at the peak angle of shearing resistance is brittle.

    With continued post-peak deformation the soil strains &

    softens, leading to the possibility of progressive failure.The factor of safety adopted in design should therefore

    ensure that displacements & strains will not be large

    enough to take the material into the post-peak range   77

    77

    CIRIA 580 – DESIGN PARAMETERS

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    the onset of large deformations tends to occur when about80% of peak strength is mobilized. This applies to a wide

    range of soils

    in an over-consolidated soil that fails by rapture, the peak 

    strength is easier to identity than the critical state

    at a given effective stress, denser soils (of a particular type)

    have both a higher stiffness & a higher peak strength. This

    is particularly relevant when retaining walls are designed by the application of a factor of safety to the soil strength.

    If critical state strengths are used in the collapse

    calculation, a higher factor of safety would be needed for a 

    retaining wall in a loose soil than for an identical retaining

    wall in a dense soil, for the wall movements under working

    conditions to be the same.78

    78

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    CIRIA 580 – DETERMINATION OF SOIL PARAMETERS

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    Certain laboratory tests bear the full imprint of disturbance, The unconsolidated undrained triaxial

    test is a good example since no attempt is made to

    reimpose the in situ stresses, hence it is particularly

     prone to sample disturbance.

    The effects of sample disturbance & limitations of 

    many laboratory tests have contributed to poor field predictions. This has contributed to greater use of in

    situ testing, or at least of integrated laboratory & in

    situ testing. A balanced view should be taken of theadvantages & limitations of both types of tests so

    that they are included appropriately in a ground

    investigation.   80

    80

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    There is no reason why a shear strength derived from anin sits vane, pressuremeter or cone test should coincide

    with that measured in a laboratory triaxial compression

    or simple shear test. For a soil of a given composition,

    deposition & post-deposition history, peak shear strength

    will be influenced by the initial effective stress state, by

    drainage during shear, by the stress path and the rate &

    direction of shear. These will vary between the differenttypes of in situ & laboratory test and also the measured

    strength. The small-strain stiffness behavior will also be

    affected by the recent stress or strain history, imposed bythe sampling process. In view of stress-strain non-

    linearity, comparisons are only meaningful if they are

    made at corresponding levels of strain.   81

    81

    CIRIA 580 – DETERMINATION OF SOIL PARAMETERS

    Soil parameters should be determined from several

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    independent sources:

    directly from the results of in situ & laboratory tests

    from established empirical correlations between different

    types of in situ & laboratory tests and with the soil’sgrading & index properties

    from relevant published data, and local & general

    experiencefrom back analysis of measurements taken from

    comparable full-scale construction in similar ground

    conditions.

    The selected soil parameters should encapsulate the designer’s

    expertise & understanding of the ground and be based on both

    site-specific information & a wider body of geotechnical

    knowledge and experience.

    82

    82

    CIRIA 580 – Classification properties

    Classification tests

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    The results of classification testing are essential in

     understanding material characteristics & behavior and are

    necessary in the interpretation of in situ & laboratory testing.

    The index properties below should be routinely determined for fine-grained & coarse-grained soils:

    83

    83

    CIRIA 580 – Classification Permeability

    The coefficient of permeability of soil, k, varies over a very

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    p y , , y

    wide range of values from about 10-10m/s for practically

    impervious clays to about 1 m/s for clean gravels. A range of 

    values for various soils is presented in BS 8004. This is

    reproduced below which shows the mass permeability of fissured clays can vary over a wide range of values.

    84

    84

    CIRIA 580 – Soil Stiffness

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    It is good practice to determine soil stiffness usingseveral different approaches. Current UK practice

    includes specialist in situ self-boring preesuremeter 

    testing, geophysical testing & specialist sampling &laboratory small-strain stiffness measurement.

    The self-boring pressuremeter is probably the most

    robust means of determining soil stiffness at strainsrelevant for wall design across a broad range of over-

    consolidated clays & very weak rocks in the UK.

    The stress-strain behavior of soil is highly non-linear and soil stiffness decays with strain by orders of 

    magnitude.85

    85

    CIRIA 580 – Soil StiffnessAt very small strains of about 0.001%, the stiffness is large; at

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    strains close to failure, the stiffness is small. Atkinson andSällfors (1991) identity 3 regions of a typical stiffness strain

    curve for soil:

    86

    86

    CIRIA 580 – SELECTION OF DESIGN PARAMETERS

    Th f ll i h ld b id d i l i i

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    The following should be considered in selecting appropriate parameters for use in design calculations:

    geological & other background information, such as data 

    from previous projectsthe variability of the determined values, including

    differences between the in situ conditions & the properties

    measured by field and laboratory tests

    the extent of the zone of ground governing the behavior of 

    the wall at the limit state being considered

    the effect of construction activities on the properties of in

    situ ground

    changes that may occur in the field due to variation in the

    environment or weather.87

    87

    CIRIA 580 – SELECTION OF DESIGN PARAMETERSUncertainty in the selection of soil strength, stiffness, loads and geometric

    t f ti l i t i t i i ll d i Th i k

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     parameters are of particular importance in retaining wall design. The risksof soil strength and stiffness being less or greater than assumed, or 

    surcharge loads being greater, or of over-excavation or a rise in

    groundwater pressures occurring, influence the factor of safety appropriate

    for design. Three design approaches A, B & C are discussed in C580:

    88

    88

    CIRIA 580 – SELECTION OF DESIGN PARAMETERS

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    Process for obtaining design values from test results.

    89

    89

    CIRIA 580 – SELECTION OF DESIGN PARAMETERS

    ( ) ( ) 1.64 ( )ck mCharacteristic Strength f MeanValue x Standard Deviation   

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    )

    ( )Design Strength =

    (ck 

    m

    CharaceristicStrength f 

    Material Safety Factor     

    EXAMPLE:

    10 concrete cubes were tested in compression at 28 days. The following

    crushing strengths (N/mm²) were obtained:

    44.5 47.3 42.1 39.6 47.3 46.7 43.8 49.7 45.2 42.7Mean strength xm = 448.9/10 = 44.9 N/mm²

    Standard deviation σ = √[(x-xm)²/(n-1)] = √(80/9) = 2.98 N/mm²Characteristic strength f ck= 44.9 – (1.64×2.98) = 40.0 N/mm²

    Design strength = 40/γm

     = 40/1.5 = 26.7 N/mm²

    stress

    strain

    40 N/mm²

    26.7 N/mm²

    2

    1

    1

    n

    m x x Standard Deviation

    90

    90

    CIRIA 580 – SELECTION OF DESIGN PARAMETERS

    To find the 95% confidence level, for soil properties, as only a small portion of 

    th t t l l i l d i d i it ti i t t d it i t ibl t

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    the total volume involved in a design situation is tested, it is not possible to

    rely on Normal Distribution.

    For a small sample size the Student t value for a 95% confidence level may be

    used to determine that Xck value, given by:

    Some typical values of V (σ/xm) for different soil properties given by:

    1ck m m

    tV t  x x x 

    n n

     

    Soil PropertyRange of typical V

    values

    Recommended V Valueif limited Test results

    available

    tanφ’ 0.05 – 0.15 0.12

    c’ 0.30 – 0.50 0.42

    cu 0.20 – 0.40 0.32

    mv 0.20 – 0.70 0.42

    γ (unit weight) 0.01 – 0.10 0

    91

    91

    df\p 0.40 0.25 0.10 0.05 0.025 0.01 0.005 0.0005

    1 0.324920 1.000000 3.077684 6.313752 12.70620 31.82052 63.65674 636.6192

    2 0.288675 0.816497 1.885618 2.919986 4.30265 6.96456 9.92484 31.5991

    3 0.276671 0.764892 1.637744 2.353363 3.18245 4.54070 5.84091 12.9240

    4 0 270722 0 740697 1 533206 2 131847 2 77645 3 74695 4 60409 8 6103

    t table with right tail probabilities

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    4 0.270722 0.740697 1.533206 2.131847 2.77645 3.74695 4.60409 8.6103

    5 0.267181 0.726687 1.475884 2.015048 2.57058 3.36493 4.03214 6.8688

    6 0.264835 0.717558 1.439756 1.943180 2.44691 3.14267 3.70743 5.9588

    7 0.263167 0.711142 1.414924 1.894579 2.36462 2.99795 3.49948 5.4079

    8 0.261921 0.706387 1.396815 1.859548 2.30600 2.89646 3.35539 5.0413

    9 0.260955 0.702722 1.383029   1.833113   2.26216 2.82144 3.24984 4.7809

    10 0.260185 0.699812 1.372184 1.812461 2.22814 2.76377 3.16927 4.5869

    11 0.259556 0.697445 1.363430 1.795885 2.20099 2.71808 3.10581 4.4370

    12 0.259033 0.695483 1.356217 1.782288 2.17881 2.68100 3.05454 4.3178

    13 0.258591 0.693829 1.350171 1.770933 2.16037 2.65031 3.01228 4.2208

    14 0.258213 0.692417 1.345030 1.761310 2.14479 2.62449 2.97684 4.1405

    15 0.257885 0.691197 1.340606 1.753050 2.13145 2.60248 2.94671 4.0728

    16 0.257599 0.690132 1.336757 1.745884 2.11991 2.58349 2.92078 4.0150

    17 0.257347 0.689195 1.333379 1.739607 2.10982 2.56693 2.89823 3.9651

    18 0.257123 0.688364 1.330391 1.734064 2.10092 2.55238 2.87844 3.9216

    19 0.256923 0.687621 1.327728 1.729133 2.09302 2.53948 2.86093 3.8834

    20 0.256743 0.686954 1.325341 1.724718 2.08596 2.52798 2.84534 3.8495

    21 0.256580 0.686352 1.323188 1.720743 2.07961 2.51765 2.83136 3.8193

    22 0.256432 0.685805 1.321237 1.717144 2.07387 2.50832 2.81876 3.7921

    23 0.256297 0.685306 1.319460 1.713872 2.06866 2.49987 2.80734 3.7676

    24 0.256173 0.684850 1.317836 1.710882 2.06390 2.49216 2.79694 3.7454

    25 0.256060 0.684430 1.316345 1.708141 2.05954 2.48511 2.78744 3.7251

    26 0.255955 0.684043 1.314972 1.705618 2.05553 2.47863 2.77871 3.7066

    27 0.255858 0.683685 1.313703 1.703288 2.05183 2.47266 2.77068 3.6896

    28 0.255768 0.683353 1.312527 1.701131 2.04841 2.46714 2.76326 3.6739

    29 0.255684 0.683044 1.311434 1.699127 2.04523 2.46202 2.75639 3.6594

    30 0.255605 0.682756 1.310415 1.697261 2.04227 2.45726 2.75000 3.6460

    infinty   0.253347 0.674490 1.281552 1.644854   1.95996 2.32635 2.57583 3.2905

       d

      e  g  r  e  e  s  o   f   f  r  e  e   d  o  m    d

       f  =   n

        −

       1Probability density function

    Cumulative distribution function

    92

    92

    CIRIA 580 – SELECTION OF DESIGN PARAMETERS

    The Characteristic Value of the angle of shearing resistance  ∅’ck

    is required for 

    a 10m depth of ground consisting of sand for which the following ∅’ values

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    ck a 10m depth of ground consisting of sand for which the following  ∅ values

    were determined from 10 triaxial tests: 33°, 35°, 33.5°, 32.5°, 37.5°, 34.5°,

    36.0°, 31.5°, 37°, 33.5°

    Average angle of shearing resistance ∅’m = 34.4°

    Standard Deviation σ = 1.97°

    Coefficient of variation V = 1.97/34.4 = 0.057

    Student t  for a 95% confidence level with 10 test results = 2.26 (wrong!)

    ∅’ck  = 34.4 - 1.97×2.26 / √10 = 33.0°

    Design Value XD = Xck /γm & Applying γm = 1.25 for Case C

    ∅’D = arctan[(tan ∅’ck ) / 1.25] = 27.8°

     Average angle of shearing resistance ∅’m = 34.44°

    Standard Deviation σ = 2.91°Coefficient of variation V = 0.0509/0.6858 = 0.0742

    Student t  for a 95% confidence level with 10 test results = 1.833

    tan∅’ck   = 0.6858 – 0.0509×1.833 / √10 = 0.6563 (∅’ck  = 33.27°)

    Design Value XD = Xck/γm & Applying γm = 1.25 for Case C∅’D = arc tan [(tan ∅’ck ) / 1.25] = 27.70°

    93

    93

    CIRIA 580 – SELECTION OF DESIGN PARAMETERS

    The Characteristic Value of the angle of shearing resistance ∅’ck 

    is required for

    a 10m depth of ground consisting of sand for which the following ∅’ values

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    a 10m depth of ground consisting of sand for which the following ∅ values

    were determined from 10 triaxial tests: 33°, 35°, 33.5°, 32.5°, 37.5°, 34.5°,

    36.0°, 31.5°, 37°, 33.5° (Exel has built-in function to calculate these values)

    wrong method   σ 1.969207   in φ'

    (X-Xm)² 1.96 0.36 0.81 3.61 9.61 0.01 2.56 8.41 6.76 0.81 34.9   in φ'

    Average

    φ' 33 35 33.5 32.5 37.5 34.5 36 31.5 37 33.5 34.4 in φ'

    X = Tanφ' 0.649408 0.700208 0.661886 0.63707 0.767327 0.687281 0.726543 0.612801 0.753554 0.661886 0.685796

    φ'm   34.44218

    Xm = tan

    φ'm0.685796

    (X-Xm)² 0.001324 0.000208 0.000572 0.002374 0.006647 2.2E-06 0.00166 0.005328 0.004591 0.000572 0.023279

    σ   0.050858 in Tanφ'

    Correct method   σ 2.91143   in φ'

    94

    94

    CIRIA 580 – Design Approach A 

    M d t l ti il t

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    Moderately conservative   soil parameters,

    groundwater pressures, loads & geometry are

    selected and safety factors are applied. Moderately

    conservative in a cautious estimate of the value

    relevant to the occurrence of the limit state. It is

    considered to be equivalent to representative values

    as defined in BS 8002 & to characteristic values asdefined in EC7 (1995). This should not be confused

    with characteristic values (5% fractile) adopted in

    structural engineering for materiel properties.

    95

    95

    CIRIA 580 – Design Approach B

    W t dibl il t d t

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    Worst credible   soil parameters, groundwater 

     pressures, loads & geometry are selected and safety

    factors lower than those in Design Approach A are

    applied. This value is the worst that the designer 

    reasonably believes might occur -  a value that is

    very unlikely. As a guide, it may be regarded as the

    0.1% fractile. Design Approach B is notappropriate for SLS calculations.

    96

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    EUROCODE 7: Singapore Technical Reference for

    Deep excavationThe term “moderately conservative” is taken to mean the “cautious

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    The term moderately conservative is taken to mean the cautiousestimate” of the value relevant to the occurrence of the limit state as in

    CIRIA C580. It is also considered to be equivalent to the “representative

    value” as in BS 8002 and to the “characteristic value” as in EC7.

    “Worst credible” value is the worst value which is reasonably believedmight occur – a value that is very unlikely. It is considered to be equivalent

    to the “conservative” value as in BS8002.

    The ULS design shall be based on the most onerous of:

    (a) Approach 1: Earth pressures derived from design values as defined inthis Section in which the reduction factors m in Tables 3.1a or 3.1b areappropriately applied to the moderately conservative parameters.

    (b) Approach 2: Earth pressures derived from the worst credible parameters.

    97

    97

    CIRIA 580 – Design Approach CMost probable   soil parameters, groundwater pressures,

    loads & geometry are selected and the safety factors of

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    loads & geometry are selected and the safety factors of Design Approach A are adopted. Most probable values have

    a 50% probability of exceedance. Design Approach C should

    only be used within an Observational Method process. It

    should be used in conjunction with Design Approach B, toenable contingency measures to be developed for rapid

    implementation in the event that conditions actually

    encountered are less than the most probable. Thus, it is

     unacceptable to proceed solely on the basis of Design

    Approach C. The construction cost saving of this approach

    should be offset against the costs relating to the additional

    calculations to Design Approach B & those associated withthe development of contingency measures, the additional

    monitoring & measurement systems necessary for the

    implementation of the Observational Method.   98

    98

    CIRIA 580 – DESIGN PHILOSOPHY 

    Limit state design philosophy

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    Limit state design philosophy

    Design calculations should satisfy the ultimate limit states

    (ULS) of wall stability & structural strength and the

    required serviceability limit states (SLS) by verifyingsatisfactory performance in respect of wall deflections,

    associated ground movement, wall watertightness criteria 

    etc. Neither ultimate or serviceability limit states should be

    exceeded in the envisaged design.The factor Fs, should be applied on soil strength. The soil

    design parameters derived therefrom should be used in

    conjunction with the groundwater pressures, loads and

    design geometries for collapse (ULS) calculations, SLS

    calculations and the accidental design situation respectively.

    99

    99

    CIRIA 580 – DESIGN PHILOSOPHY 

    Fs factors appropriate for use in design calculations

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    1. Effective stress: tan ø’d = tan ø’ / Fsø’  & C’d = c’ / Fsc’

    Total stress: S ud = S u / Fssu

    2. The design strength parameters in note 1 above are used to deriveearth pressure coefficients.

    3. Not appropriate for SLS calculations.

    F  factors appropriate for use in design calculations

    100

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    EUROCODE 7: Singapore Technical Reference for

    Deep excavation

    Partial factors are to be used in the Ultimate Limit State

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    Partial factors are to be used in the Ultimate Limit State

    (ULS) design of the excavations system. The design

    values of the geotechnical parameters Xd shall be derived

     using:

    Xd = Xk  / m

    in which Xk  is the moderately conservative estimate of thesoil parameter and m   is the reduction factor for the

     parameter. For designs based on EC7, the reduction

    factors (which are termed as partial factors in EC7) are

    shown in Table 3.1a. For designs based on BS8002, thereduction factors (which are termed as mobilization

    factors in BS8002) are shown in Table 3.1b.101

    101

    EUROCODE 7: Singapore Technical Reference for

    Deep excavation

    Table 3.1a – EC7 Partial factors for soil parameters (m)

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    p ( )(no case classification)

    Soil parameter Symbol Value

     Angle of shear resistance*   ’   1.25

    Effective cohesion (1.6)   c’   1.25Undrained shear strength   cu   1.4

    Unconfined strength   qu   1.4

    Weight density   g   1.0

    * This factor is applied to tan’102

    102

    BS8002: Singapore Technical Reference for

    Deep excavation

    Table 3.1b – BS8002 Minimum factors for soil parameters (m)

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    Soil parameter Symbol Value

     Angle of shear resistance*   ’   1.2Effective cohesion   c’   1.2

    Undrained shear strength   cu   1.5

    Unconfined strength   qu   1.5

    Weight density   g   1.0

    * This factor is applied to tan’

    103

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    EUROCODE 7: Singapore Technical Reference for

    Deep excavation

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    This example (from   CIRIA report 104, 1984) illustrates the ULS design to

    determine the minimum penetration depth for a wall restrained with a strut (prop)

    at a depth of 2 m below the original ground surface. The groundwater table is

    assumed to be well below the tip of the wall. This worked example uses Approach

    1 with moderately conservative values.

    Soil and interface properties Values

    Soil unit weight (kN/m³) 20

    Friction angle ’ 25o

    Cohesion (kPa) c’ 0

    Interface friction (active side) = (2/3) ’

    Interface friction (passive side) = (1/2) ’

    104

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    EUROCODE 7: Singapore Technical Reference for

    Deep excavation

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    105

    105

    EUROCODE 7: Singapore Technical Reference for

    Deep excavation

    A l i d ti f t f ’ f 1 25

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    Applying a reduction factor for  

    ’ of 1.25,

    the design  d’ = tan

    -1{tan(25o)/1.25} = 20.5o

    Based on Caquot and Kerisel (1948) with design  d’ = 20.5o, the active

    coefficient K a  = 0.44, and the passive coefficient K  p = 2.70.

    Take moments about the strut.

    For equilibrium (Factor of safety = MP/MA = 1.0), the minimum depth of 

     penetration of the wall, d = 4.10 m.

    Force (kN/m) Lever arm (m) Moment (kNm/m)

    PA = 0.5K a(h+d)²= 3.6(8+d)²

    LA = (2/3)(h+d) - 2

    = (2/3)(5+d)

    MA = 2.4(8+d)²(5+d)

    PP = 0.5K pd²= 34.7d²

    LP = (2/3)d + 8 - 2

    = (2/3)d + 6

    MP = 34.7d²(6 +2d/3)

    106

    106

    CIRIA 580 – DESIGN PHILOSOPHY 

    Design Approach A, subscript is mcFor effective stress analysis the limiting value of wall friction

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    For effective stress analysis, the limiting value of wall friction,  max,

    should be taken to be:

     max  ≤ k   ’crit,mc

    where:

    ’crit,mc =   moderately conservative critical state angle of shearing

    resistance

    k = 1.0 for rough concrete (e.g. concrete cast directly against

    soil) and for a rupture surface within the soil;

    k = 0.67 for smooth concrete (e.g. precast concrete or 

    concrete cast against formwork) and other smooth

    surfaces (e.g. steel) and for driven or jacked in walls.

    The value of the design effective wall adhesion, S’wd, should be taken aszero.

    107

    107

    CIRIA 580 – DESIGN PHILOSOPHY 

    For total stress analysis, design s u = s ud = s umc

    where:

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    s umc = modemtely conservative value of undrained shear 

    strength, s u.

    The limiting value of wall adhesion, Swmax, should be takenas: Swmax =  S ud

    where:

      = 0.5 in stiff clay. Smaller values of   may apply in particular circumstances, e.g. steel sheet piles

    driven through overlying soft clay.

    For design approach B & C, subscript is   wc   &   mp

    respectively

    108

    108

    CIRIA 580 – STRUCTURAL DESIGN OF WALL

    The structural design of the wall should conform to therelevant code of practice for the particular material namely

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    relevant code of practice for the particular material, namely

    ES8110 Part 1 (1997), BS 5400 Part 4 (1990) or EC2 Part 1

    (DD ENV 1992-1-1: 1992) for reinforced concrete and ES

    5950 Part 1 (2000), BS 449 Part 2 (1969) or EC3 Part 5 (ENV

    1993-5, 1998) for structural steelwork.

    The design of the structural members should allow for the

    loads generated by the temporary & permanent constructionstages and the installation method.

    Installation stresses are generated in pushed, driven or 

    vibrated sections. For concrete cast in situ, into a pre-

    formed hole, the reinforcement detailing should allow for 

    the method of placing the reinforcement & concrete.

    109

    109

    CIRIA 580 – STRUCTURAL DESIGN OF WALL

    ULS wall bending moments and shear forces for use in thestructural design of the wall should be obtained as the

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    structural design of the wall should be obtained as the

    greater of:

    the values obtained from limit equilibrium calculation or soil-structure interaction analysis.

    1.35 times the SLS values, where SLS calculations are

     undertaken

    the values calculated for accidental design

    situation/progressive failure check.

    values arising from the use of the Distributed Prop Load

    method for the design of temporary propping to thewall.

    110

    110

    CIRIA 580 – Steel sheet pile walls

    For driven sheet piling, the forces induced during thedriving process should out exceed the capacity of the

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    driving process should out exceed the capacity of the

    section.

    Durability: Steel corrosion rates are generally low and steel

     piling may be used for permanent works in an unpainted or 

     unprotected condition. The degree of corrosion and the

    need for protection depends upon the working environment,

    which can vary along the length & depth of the pile andwith time. Underground corrosion of steel piles driven into

     undisturbed natural soils that do not comprise peat and are

    not chemically contaminated is negligible. This is attributed

    to the low oxygen levels present in undisturbed soils.Corrosion rates are higher where steel piling is exposed to

    atmospheric conditions, fresh water and marine

    environments.   111

    111

    CIRIA 580 – Steel sheet pile wallsCorrosion rates for steel piling in natural environments (after BS 8002 1994)

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    Note:

    1. Fresh waters are variable. Corrosion losses in fresh water immersion zones are

    generally lower than for seawater.   112

    112

    CIRIA 580 – Steel sheet pile walls

    The analysis o