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    Pile & Pier FoundationAnalysis & Design

     by

    Peter J. Bosscher 

    University of Wisconsin-Madison

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    5

    Topic Outline

    Overview

    Axial Load Capacity

    Group Effects

    Settlement

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    6

    Overview

    Shallow vs Deep

    Foundations

     –  A deep foundation is one

    where the depth of

    embedment is larger than

    2X the foundation width.

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    7

    Historic Perspective

    • one of the oldest methods of overcoming the

    difficulties of founding on soft soils• Alexander the Great, 332BC in Tyre

    • “Amsterdam, die oude Stadt, is gebouwed op

     palen, Als die stad eens emmevelt, wie zal dat betalen?” an old Dutch nursery rhyme

    • “If in doubt about the foundation, drive piles.”

    1930-1940 practice methodology

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    8

    Contrast in Performance

    Example

     –  deep clay

    » cu = 500 psf 

     –  Load = 340 kips

     –  Factor of Safety = 2

    Settlements at working load Pad Single Pile Pile & Pad 4-Pile Grp.

    Immediate 4.1 0.9 2.3 0.8

    Consolidation 1.2 0.1 0.4 0.2

    Total 5.3 1.0 2.7 1.0

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    9

    Modern Uses weak upper soils

     –  shallow (a) –  deep (b)

    large lateral loads (c)

    expansive &collapsible soils (d)

    uplift forces (e)

     bridge abutments &

     piers (f)

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    FoundationDesign

    Process(FHWA)

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    FoundationDesign

    ProcessContinued

    (FHWA)

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    10

    Foundation

    Classification

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    11

    Pile Types• Timber Piles

    • Steel H-Piles

    • Steel Pipe Piles

    • Precast Concrete

    Piles• Mandrel-Driven Piles

    • Cast-in-Place

    Concrete Piles

    • Composite Piles

    • Drilled Shafts

    • Augered, Pressure

    Injected Concrete

    Piles• Micropiles

    • Pressure Injected

    Footings

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    Timber Piles

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    13

    Steel H-Piles

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    Steel Pipe Piles

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    15

    Precast Concrete Piles

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    16

    Mandrel-Driven Piles

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    17

    Cast-in-place Concrete Piles

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    Composite Piles

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    Drilled Shafts

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    Augered, Pressure Injected

    Concrete Piles

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    Micropiles

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    Pressure Injected Footings

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    18

    Evaluation of Pile Types• Load Capacity & Pile Spacing

    • Constructability• soil stratigraphy

    • need for splicing or cutting

    • driving vibrations

    • driving speed (see next slide)• Performance

    • environmental suitability (corrosion)

    • Availability

    • Cost

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    Soil Properties for

    Static Pile Capacity Proper subsurface investigations yield critical

    information regarding stratigraphy and also

     provide quality soil samples.

    Boring depths minimally should extend 20 feet

     beyond the longest pile. Looking for critical

    information such as soft, settlement prone layers,

    or other problem soils such as cobbles. Want

    additional information from in-situ field tests (SPT

    and CPT). Location of groundwater table iscritical.

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    22

    Soil Properties for

    Static Pile Capacity, cont. From soil samples, determine shear strength and

    consolidation properties. For clays, both quick

    and long term strengths (from UU and CU/CD)

    should be determined. For sands, only CD tests

    are used.

    For clays, the pile capacities in the short and long

    terms should be compared and the lower of the

    two cases selected for use. If the design is verified

     by pile load tests, these results will usuallydominate the final design.

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    23

    Factor of Safety Depends on many factors, including:

     –  type and importance of the structure –  spatial variability of the soil

     –  thoroughness of the subsurface investigation

     –  type and number of soil tests –  availability of on-site or nearby full-scale load

    tests

     –  anticipated level of construction monitoring

     –  probability of design loads being exceededduring life of structure

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    Classification of Structure &

    Level of Control

    Structure:

     –  monumental: design life > 100 years

     –  permanent: design life >25 yrs and < 100 yrs

     –  temporary: design life < 25 yrs

    Control:

    Control

    Subsurface

    Conditions

    Subsurface

    Exploration

    Load

    Tests

    Construction

    Monitoring

    Good Uniform Thorough Available Good

    Normal

    Somewhat

    variable Good None Average

    Poor Erratic Good None Variable

    Very Poor V. Erratic Limited None Limited

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    25

    Factors of Safety for Deep

    Foundations for Downward Loads

    Design Factor of Safety, F

    Classification

    of Structure

    Acceptable

    Probability of

    Failure

    Good

    Control

    Normal

    Control

    Poor

    Control

    Very Poor

    Control

    Monumental 1E-05 2.3 3.0 3.5 4.0Permanent 1E-04 2.0 2.5 2.8 3.4

    Temporary 1E-03 1.4 2.0 2.3 2.8

    Expanded from Reese and O’Neill, 1989.

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    26

    Methods for Computing Static

    Pile Capacity Allowable Stresses in Structural Members

    Pile Capacity

     –  Many different methods (α, β, λ, Meyerhof, Vesic,Coyle & Castello, etc).

     –  Soil Type (Cohesionless, Cohesive, Silt, Layered Soils)

     –  Point Bearing

     –  Skin Resistance

    »  Normal (Positive) Skin Friction

    »  Negative Skin Friction

    Settlement of Piles

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    Allowable Stresses in Structural

    Members• Any driven pile has to remain structurally intact and not be

    stressed to its structural limit during its service life under static

    loading conditions as well as under dynamic driving inducedloads. Therefore, material stress limits are placed on:

    • The maximum allowable design stress during the service life.

    • The maximum allowable driving stresses.

    • Additional material stress limits, beyond the design anddriving stress limits, may apply to prevent buckling of pileswhen a portion of the pile is in air, water, or soil not capable ofadequate lateral support. In these cases, the structural designof the pile should also be in accordance with the requirements

    of Sections 8, 9, 10, and 13 of AASHTO code (1994) forcompression members.

    • See excerpt from FHWA’s Design and Construction of DrivenPile Foundations

    27

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    Axial Pile Capacity

    In general:

    Three general cases shown (from Das)

    30

     F 

     A f  Aq

     F 

     P  P  P 

      s see sea ∑+′=+′=

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    Methods of Evaluating Axial

    Load Capacity of Piles

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    Full-Scale Load Tests Most precise way to determine axial load

    capacity. All other methods are indirect. Quite expensive thus use judiciously.

    Two types: controlled stress or controlledstrain, also quick and slow versions.

    Results are open to interpretation:

     –  9 methods to analyze results

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    When to use Full-scale Load Tests many piles to drive

    erratic or unusual soil conditions friction piles in soft/medium clay

    settlement is critical

    engineer is inexperienced

    uplift loads on piles

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    How many load tests? From Engel (1988):

    Length of Piling (ft)

    Length of Piling (m)

     Number of Load Tests

    0-6000 0-1800 06000-10000 1800-3000 1

    10000-20000 3000-6000 2

    20000-30000 6000-9000 330000-40000 9000-12000 4

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    35

    Static Methods(Based on Soil Tests or In-situ Tests)

    More difficult to interpret than load tests:

     –  pile driving changes soil properties

     –  soil-structure interaction is complex

    Less expensive than load tests

    Used for:

     –  preliminary analysis to plan pile load testing

     –  extend results of pile load testing

     –  design purposes on small projects

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    36

    Cohesionless Soil no excess pore pressure

    End Bearing: –  many use shallow bearing

    capacity formulas

     –  use –  but real piles do not behave

    like shallow foundations

    where capacity increaseslinearly with depth.

    ( )q N BN  e D q' .=   ′   − +σ γ  γ 1 0 5

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    37

    Max Limit on End Bearing? Some suggest a limit on end

     bearing to match experience.

    Problems with that approach: –  more complex than that; need to

    consider both strength andcompressibility of the soil

     –  friction angle varies witheffective stress

     –  overconsolidation causeschanges in bearing capacity

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    Vesic/Kulhawy Method Based on Vesic’s work, Kulhawy gives the

    two bearing capacity factors:

    38

    ( )   φ σ ν  tan12  D sr 

     E  I 

    ′+=

    ( )   φ σ ν  tan12  D sr 

     E  I 

    ′+=

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    39

    Coyle & Castello’s Method

    Based on 16 pile

    load tests Based on φ and

    D/B.   CAUTION: No effect

    of pile material,

    installation effects, and

    initial insitu stresses

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    Cohesionless Soil Skin (Side) Friction

     –  use a simple sliding model:» where

    » often rewrite using» K varies with:

    amount of soil displacement soil consistency

    construction techniques

     f  s h s=   ′σ φ tan′ ==

    σ 

    φ 

    h horizontal effective stress

    tan coef. of friction between soil and piles

    ′ =   ′σ σ h v K 

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    General Method (Kulhawy) rewrite equation:

    Suggest using:

     f K  K 

     K  s v s=   ′

        

         

        

         

    σ φ 

      φ 

    φ 0 0tan

    Pile & Soil Types   φs/φSand/Rough concrete 1.0

    Sand/Smooth concrete 0.8-1.0

    Sand/Rough steel 0.7-0.9Sand/Smooth steel 0.5-0.7

    Sand/timber 0.8-0.9

    Foundation Type &

    Construction Method

    K/K 0

    Jetted pile ½ -2/3

    Drilled shaft 2/3 - 1Pile-small displacemnt ¾-1¼

    Pile-large displacement 1 – 1.2

    ( )   φ φ    ′′−= sin0 sin1   OCR K 

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    Simplistic β Method lumps K and tanφ into one term: β=Ktanφs can develop site-specific β or use empirical

    formulas in literature.

    Eg: for large displacement piles in sand,Bhushan (1982)suggests:

    β  = +018 0 65. .   D

     D

    r where is the relative density in decimal form

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    Coyle & Castello’s Method empirical correlation

    of  f s to φ and z/B. z is depth to midpoint

    of strata.

     CAUTION: No effect of

     pile material, installation

    effects, and initial insitu

    stresses

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    44

    Cohesive Soil excess pore pressures produced by soil

    displacement during driving takes time to

    dissipate. This means capacity increases withtime. Usually assume full capacity is achieved by

    the time the full dead load is applied.

     but usually need to consider live load too. –  end bearing affected by live load (soil compression)

    » use undrained strength if significant live load

     –  side friction not affected

    » use drained strength always

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    End Bearing most engineers use:

    not adhesion but rather frictional behavior 

    could use cohesionless equation but

     problems again with K 0 therefore use βmethod.

    ′ =q s

     s

    e u

    u

    9

    where = undrained shear strength

    Skin Friction

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    β Method for Clay use Randolph

    and Wroth(1982):

    upper limit:

    β   φ 

    ≤ +  

         tan

    2 452

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    Traditional Methods a large number of engineers still use

    “adhesion” concepts. The α and λ methods are based on

    undrained strength. See Sladen (1992) for

    an analysis of these methods.

    These methods have wide scatter,

    sometimes being as low as 1/3 or as high as3 times the actual capacity.

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    48

    In-Situ Soil Test Methods can determine φ or su and then use previous

    methods or can use direct correlationmethods.

    direct in-situ methods especially important

    for sand as sampling and testing is difficult.

    In-situ tests:

     –  SPT & CPT

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    Standard Penetration Test SPT is inconsistent thus correlation is less

    reliable than CPT. Two methods (for sand only): Meyerhof &

    Briaud

    SPT does not seem reliable for clays

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    Meyerhof Method End Bearing:

    For sands and gravels:

    For nonplastic silts:

    ′ =   ′   ≤   ′

    ′ =   ′   ≤   ′

    q N  D

     B  N 

    q N  D

     B  N 

    e r r 

    e r r 

    0 40 4 0

    0 40 3 0

    60 60

    60 60

    . .

    . .

    σ σ 

    σ σ 

    For large displacement piles:

    For small displacement piles:

     f N 

     f N 

     s

     s

    =

    =

    σ 

    σ 

    50

    100

    60

    60

    Skin Friction:

     NOTE N 

     N 

    r :σ   =′

    1 60

    60

     tsf; = SPT N corrected for field procedures;

    = SPT N corrected for field procedures and overburden stress

    50

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    Briaud Method based on regression analyses:

    ( )

    ( )

    ′ =

    =

    q N 

     f N 

    e r 

     s r 

    19 7

    0224

    60

    0 36

    60

    0 29

    .

    .

    .

    .

    σ 

    σ 

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    CPT Correlations the CPT is very similar to driving piles

    therefore this test is a good predictor ofcapacity.

    unfortunately, the test is rarely run in the

    U.S. because of the inertia of the

    engineering community.

    for correlations based on CPT see Coduto(1994)

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    From Karl Terzaghi, 1943“The problems of soil mechanics may be

    divided into two principal groups - thestability problems and the elasticity

     problems.”

    Bearing capacity is a stability problem,

    settlement is an elastic problem.

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    Pile Settlement Isolated piles designed using the previously

    mentioned methods usually settle less than 0.5inches at their working loads. Pile groups may

    settle somewhat more but generally within

    acceptable limits. Most engineers do not conduct

    a settlement analysis unless:

     –  the structure is especially sensitive to settlement,

     –  highly compressible strata are present,

     –  sophisticated structural analyses are also being used.

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    Why put piles in groups? Single pile capacity is insufficient

    Single pile location may not be sufficientlyaccurate to match column location

    To build in redundancy

    Increased efficiency gained by multiple

     piles driven in close proximity

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    Group characteristics Common C-C spacing: 2.5 to 3.0 diameters

    Efficiency:( )

    η = =′+

    Group CapacitySum of Individual Piles

     P F  N P P 

    ag 

    e swhere:

    group efficiency factor 

    net allowable capacity of pile group

    factor of safety

    number of piles in groupnet end bearing capacity of single pile

    skin friction capacity of single pile

    η ==

    =

    =′ ==

     P 

     F 

     N  P 

     P 

    ag 

    e

     s

    56

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    Individual vs Block Failure Modes

    Individual Failure Mode Block Failure Mode

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    Group characteristics Do not use Converse-Labarre formula for

    group efficiency (not accurate)

    From O’Neill (1983):

     –  in loose cohesionless soils, η > 1 and is highest

    at s/B = 2. Increases with N. –  in dense cohesionless soils at normal spacings

    (2 < s/B < 4), η is slightly greater than 1 if the

     pile is driven. –  in cohesive soils, η < 1. Cap in contact w/

    ground increases efficiency but large settlement

    is required. 58

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    Design Guidelines Use engineering judgment - no good recipes

    Block failure not likely unless s/B2, eventual η ≅

    1.0 but early values range from 0.4 to 0.8.

    In cohesionless soils, design for η between 1.0and 1.25 if driven piling w/o predrilling. If 

     predrilling or jetting used, efficiency may drop below 1.0.

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     Negative skin friction Occurs when upper

    soils consolidate, perhaps due to

    weight of fill.

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     Negative skin friction The downward drag due to negative skin friction

    may occur in the following situations:

     – consolidation of surrounding soil

     – placement of a fill over compressible soil

     – lowering of the groundwater table

     – underconsolidated soils

     – compaction of soils

    This load can be quite large and must be added tothe structural load when determining stresses inthe pile. Negative skin friction generally

    increases pile settlement but does not change pilecapacity.

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    Methods to reduce downdrag Coat piles w/ bitumen, reducing φs Use a large diameter predrill hole, reducing

    lateral earth pressure (K)

    Use a pile tip larger than diameter of pile,

    reducing K 

    Preload site with fill prior to driving piling

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    Laterally Loaded Deep Fnds Deep foundations must also commonly

    support lateral loads in addition to axialloads.

    Sources include:

     – Wind loads

     – Impacts of waves & ships on marine structures

     – Lateral pressure of earth or water on walls – Cable forces on electrical transmission towers

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    From Karl Terzaghi, 1943“The problems of soil mechanics may be

    divided into two principal groups - thestability problems and the elasticity

     problems.”

    Ultimate lateral load capacity is a stability

     problem, load-deformation analysis is

    similar to an elasticity problem.

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    Ultimate Lateral Load Dependent on the diameter and length of the

    shaft, the strength of the soil, and otherfactors.

    Use Broms method (1964, 1965)

    Divide world into:

     – cohesive & cohesionless

     – free & fixed head – 0, 1, or 2 plastic hinges

    Cohesive Soil Diagrams

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    Cohesive Soil Diagrams

    LateralResistance

    Free-Head

    Distributions Fixed-Head

    Distributions

    Cohesionless Soil

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    Diagrams

    Free-Head Distributions

    Fixed-Head Distributions

    Summary Instructions

    for

    Laterally Loaded Piles

    by

    B. Broms

    Cohesive Soil:

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    Cohesive Soil:

    Cohesionless Soil:

    (a)

    Short-Free:( )

     H  dg ce d f 

    uu=

    + +

    2 2515 05

    2

    .. .

      or Fig (a)

      where  f  H 

    c d 

    u

    u

    =9

     and  L d f g= + +15.

    If  M dg c yield u≤ 2 252.  then pile has one plastic

    hinge and is “long”.

    Long-Free:( ) H 

     M 

    e d f u

     yield 

    =+ +15 05. .

      or Fig (b)

    Check if ( ) M H L d  yield u> +05 0 75. . . If so, pile is

    short, else pile is intermediate or long.

    Then if  M c dg yield u> 2 252.  then pile is

    intermediate, else pile is long.

    Short-Fixed: ( ) H c d L d u u= −9 15.  or Fig (a)

    Intermediate-Fixed:  H c dg M  

    d f uu yield  

    =

    +

    +

    2 25

    15 05

    2.

    . .

    Long-Fixed:  H  M 

    d f u yield 

    =+

    2

    15 0 5. . or Fig (b)

    Short-free:  H dK L

    e Lu

     p=

    +

    0 5 3.   γ   or Fig (a)

    Long-free:  H  M 

    e f u yield 

    =+ 0 67.

     or Fig (b)

    where  f 

     H 

    dK 

    u

     p= 0 82. γ  

    Check if  M dK L yield p> γ  3. If so, pile is short,

    l il i i di l

    Load-Deformation Method

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    Load-Deformation Method

    Due to the large lateral deflection required to

    mobilize full lateral capacity, typical design

    requires a load-deformation analysis to determine

    the lateral load that corresponds to a certain

    allowable deflection.

    Considers both the flexural stiffness of the

    foundation and the lateral resistance from the soil.

    Main difficulty is accurate modeling of soil

    resistance.

     p-y Method

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    p y et od

    Can handle:

     – any nonlinear load-deflection curve

     – variations of the load-deflection curve w/ depth – variations of the foundation stiffness (EI) w/ depth

     – elastic-plastic flexural behavior of the foundation

     – any defined head constraint

    Calibrated from full-scale load tests

    Reese (1984, 1986) are good references. Requires computer program

    COM624P

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    COM624P COM624P -- Laterally Loaded Pile Analysis Program for

    the Microcomputer, Version 2.0. Publication No. FHWA-

    SA-91-048.

    Computer program C0M624P has been developed for

    analyzing stresses and deflection of piles or drilled shafts

    under lateral loads. The technology on which the program

    is based is the widely used p-y curve method. The programsolves the equations giving pile deflection, rotation,

     bending moment, and shear by using iterative procedures

     because of the nonlinear response of the soil.

    p-y Method: Chart solutions

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     p y Method: Chart solutions

    Evans & Duncan (1982) developed chart

    solutions from p-y computer runs. Advantages:

     – no computer required

     – can be used to check computer output

     – can get load vs max moment and deflection

    directly

    Group Effects

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    Group Effects

    Complexities arise:

     – load distribution amongst piles in group

     – differences between group effect and single pile

    O’Neill (1983) has identified an important

    characteristic: pile-soil-pile interaction (PSPI).Larger interaction in closely spaced piles.

    Lateral deflection of pile group is greater than

    single isolated pile subjected to proportional shareof load.


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