14.528 DRILLED DEEP FOUNDATIONS Group, Uplift,...

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Revised 10/2012 14.528 DRILLED DEEP FOUNDATIONS Group, Uplift, and Lateral Analyses GROUPS: ADVANTAGES Figure 14-2. Group vs. Single Shaft (FHWA NHI-10-016). Large overturning moments are most effectively resisted using groups of shafts. Higher axial capacities. May be cost effective (larger shafts = larger, heavier equipment).

Transcript of 14.528 DRILLED DEEP FOUNDATIONS Group, Uplift,...

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

GROUPS: ADVANTAGES

Figure 14-2. Group vs. Single Shaft(FHWA NHI-10-016).

• Large overturning moments are most effectively resisted using groups of shafts.

• Higher axial capacities.

• May be cost effective (larger shafts = larger, heavier equipment).

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GROUPS:DISADVANTAGES

Arthur Ravenel Jr. West PierFigure courtesy of Marvin Tallent

(PBC).

• Construction Time.

• Construction of Pile Cap (especially over water).

• Limited Foundation Footprint Required.

• Scour (may be less for single shaft).

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Figure 14-3. Overlapping Zones of Influence (FHWA NHI-10-016 after Bowles, 1998).

Construction Effects:• DS & CFA generally

decrease effective stress.• DD generally increase

effective stress.• More pronounced in

cohesionless soils

GROUP ANALYSIS:EFFECT ON AXIAL

RESISTANCE(STRENGTH LIMIT STATE)

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Figure 14-3. Block Type Failure(FHWA NHI-10-016 after Tomlinson, 1994).

GROUP ANALYSIS:COHESIVE SOILS

,

=

RBlock = Nominal resistance of Block Failure

Rn = Nominal resistance of a single shaft

= Pile Group

Efficiency

≤ 1

*Must take into account 2-3Z below block.

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GROUP ANALYSIS:MICROPILES IN COHESIVE SOILS

Table 5-4. Efficiency Factors in Cohesive Soils(FHWA NHI-05-039).

Figure 5-3. Block Failure Model for Micropiles(FHWA NHI-05-039).

AASHTO 10.0.1.2: Minimum Micropile Spacing should not be less than 30 inches or 3D.

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GROUP ANALYSIS:GROUP EFFICIENCY (COHESIONLESS)

=

Rng = Nominal resistance of the shaft group

Rn = Nominal resistance of a single shaft

= Pile Group

Efficiency

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GROUP ANALYSIS:GROUP EFFICIENCY (COHESIONLESS)

Drilled Shafts (AASHTO 10.8.3.6) = 0.65 for center to center spacing of 2.5D = 1.0 for center to center spacing ≥ 4.0D

Use Linear Interpolation between 2.5 < D < 4.0

Micropiles (AASHTO 10.9.3.6 refers to 10.7.3.9)* = 0.65 for center to center spacing of 2.5D = 1.0 for center to center spacing ≥ 6.0D

Use Linear Interpolation between 2.5 < D < 6.0

*FHWA GEC8 recommends same for CFA Piles.

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GROUPANALYSIS:

GROUPEFFICIENCY

(COHESIONLESS)

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GROUP ANALYSIS: SETTLEMENT(SERVICEABILITY LIMIT)

Figure 14-8. Deeper Zone of Influence for End Bearing Shaft Group (FHWA NHI-10-016 after Tomlinson, 1994).

• Simplified Methods.• Formulated for use with

driven pile groups.• Considered to be

generally representative of drilled shaft group settlements.

• The deeper zone of influence unlikely to be significantly affected by deep foundation type.

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Bridge Abutment on Piles - 30 inches of Settlement over 10 years

Photograph courtesy of FHWA-NHI-132012 Soils and Foundations Workshop Participants Workbook

GROUP ANALYSIS: SETTLEMENT(SERVICE LIMIT STATE)

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GROUP ANALYSIS: SETTLEMENT• If “Rigid”, the elastic

shortening of pile is very small compared to settlements related to soil.

≤ 0.01

Foundation is “Rigid” if

Elastic Compression • If not “Rigid”, the elastic shortening of pile should be estimated and included in settlement calculations.

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GROUP ANALYSIS: SETTLEMENTFor Uniform Unit Skin Friction

Upper Bound Elastic Compression(No Downdrag)

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GROUP ANALYSIS: SETTLEMENT(COHESIONLESS - CFA)

From FHWA GEC8 after Meyerhof (1976).

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GROUP ANALYSIS: SETTLEMENT(COHESIONLESS – DRILLED SHAFTS)

From FHWA NHI-10-016 after Meyerhof (1976).

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GROUPANALYSIS:

SETTLEMENT(COHESIVE)

Figure 14-9. Equivalent Footing Concept for Pile Groups (FHWA NHI-10-016 after Terzaghi and Peck, 1967).

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GROUPANALYSIS:

SETTLEMENT(COHESIVE)

Figure 14-10. Pressure Distribution Below Equivalent Footing for Pile Group (FHWA

NHI-10-016 after Cheney and Chassie, 2002).

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GROUP ANALYSIS: SETTLEMENT

Figure 14-11. Typical e vs. Log P Curve from Laboratory Consolidation Testing (FHWA NHI-10-016).

• Same Analysis as 1D Consolidation Settlement.

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GROUPANALYSIS:

SETTLEMENT(COHESIONLESS –

MICROPILES)

Figure 5-9. Bearing Capacity Index vs. N160(FHWA NHI-05-039 modifed after Hough, 1959).

H=Ho

Similar Analysis as 1D Consolidation Settlement.

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

GROUP ANALYSIS: SETTLEMENT

Figure 14-11. Typical e vs. Log P Curve from Laboratory Consolidation Testing (FHWA NHI-10-016).

• Same Analysis as 1D Consolidation Settlement.

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

GROUP ANALYSIS:UPLIFT (STRENGTH LIMIT STATE)

Figure 13-14. Typical Loading Combination Resulting in Uplift (FHWA NHI-10-016).

Figure 13-15. Forces and Idealized Geomaterial Layering for Computation of

Uplift (FHWA NHI-10-016).

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GROUP ANALYSIS:UPLIFT (DRILLED SHAFTS)

• Do not use suction for drilled shafts.• Same “ultimate” fs for uplift and

compression (FHWA).• FHWA IF-99-025: Reduction Factors for uplift.• FHWA NHI-10-016: Account for reduction in

Resistance Factor (Read Manual!)• AASHTO: Use lesser of the following:

• Sum of individual shaft uplift resistance.• Uplift resistance of pile group as block.

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GROUP ANALYSIS: UPLIFT (CFA)• CFA Piles behave essentially like drilled shafts in

response to uplift (FHWA GEC 8).• CFA Piles need corresponding reinforcement.• Same “Ultimate” fs for uplift and compression (FHWA).

• Reduction Factor of 0.8 recommended in cohesionless soils.• Don’t use reduction factor when uplift is due to soil load (e.g.

swelling).• Still need safety factors.

• AASHTO (1996): Use lesser of the following:• Sum of individual shaft uplift resistance.• 2/3 Effective Weight of Group and Soil in Block.• ½ Effective Weight of Group and Soil in Block + ½ Total Shear

Resistance of Block.

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GROUP ANALYSIS:UPLIFT (MICROPILES - COHESIVE)

Figure 5-5. Uplift Cohesive Soils(FHWA NHI-05-039 after Tomlinson, 1994)

Figure 5-6. Uplift Cohesionless Soils(FHWA NHI-05-039 after Tomlinson, 1994)

Effective weight of a block of soil

Undrained shear strength of the

block of soil enclosed by the group plus the

effective weight of the pile cap and pile-soil block

*See also FHWA NHI-05-042

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LATERAL ANALYSIS (SERVICE LIMIT)Deep Foundations can be subjected to Lateral Loads due to:

• Vehicle Acceleration/Braking.• Wind and/or Wave action.• Pile supported earth retaining

structures.• Debris or Ice Loading.• Vessel Impacts.• Construction Procedures.• Thermal Changes.• Slope Movements.• Seismic Events.

Figure 12-5. Elevation View of an Overhead Sign Structure (FHWA NHI-10-016 from

FHWA IP-84-11).

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LATERAL ANALYSIS (SERVICE LIMIT)

Figure 9.36. Soil Resistance to a Lateral Pile Load (FHWA NHI-05-042 adapted from Smith,

1989).

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LATERAL ANALYSISAvailable Analysis Methods:• Brooms Method – equilibrium,

simplified and practical (FHWA NHI—05-042).

• Non-Dimensional Solutions.• Computer Codes based on

Numerical Solutions.• FEM – FB Pier (UF).• FD – p-y curves like L-PILE or

SWM (Strain Wedge Method).FB-Pier

Figure courtesy of Bridge Software Institute (https://bsi-web.ce.ufl.edu)

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERAL ANALYSISLATERAL DEFLECTION

Kh =

Coefficient ofSubgrade Reaction

(Kh)

P = Load per Unit AreaY = Lateral Deflection

The soil can be replaced by a

series of linearly elastic springs

and the coefficient of subgrade

reaction corresponding to

the stiffness of the springs.

P = Khy

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERAL ANALYSISCOEFFICIENT OF SUBGRADE REACTION (Kh) Kh is not a material constant

since it varies with the size of the loaded area and thus with

the diameter of the pile.

yP

DzfKh

f = Coefficient of variation (tons/ft3)(see NAVFAC 7.02)

z = Depth (ft)D = Width or diameter of loaded

area (ft)Kh = Coefficient of Subgrade

Reaction (tons/ft3) Figure 9. Coefficient of Subgrade Reaction (NAVFAC DM7.02).

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LATERAL ANALYSISKh – COHESIVE SOILS

• For short term loading E >>, Kh >> so that an increase in Su will bring an increase in Kh.

• Heavily over consolidated cohesive soils - assume Khconstant with depth Kh~(35 to 70)Su

• Normally consolidated clays -since Su for NC will increase with depth Kh will increase with depth

• Based on theory of elasticityKh (short term) for a pile with L>5D

Due to creep and consolidation, the lateral deflection will increase with time. For inorganic clays, the lateral deflection will normally be 2 to 6 times (25% to 50% for stiff, 20% to 30% for soft) the short term loading deflection. Hence for the long term, Kh = 20 Cu/D can be used.

K CDh

u 120

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LATERAL ANALYSISCOEFFICIENT OF SUBGRADE REACTION (Kh)

• E is a function of density and overburden pressure and hence will increase approximately linearly with depth.

• Kh decreases under cyclic loading and the largest reduction is for lowest density.

Dr<35%: Kh=0.25Kh of 1st loading35%<Dr<65%: Kh=0.33Kh of 1st loading

Dr>65% : Kh=0.50Kh of first loading*For clays correlate soft with loose and

stiff with dense.

• Kh decreases with an increase in the size of the pile or pile group.

• Group action should be considered when the pile spacing in the direction of loading is less than 6 to 8 D. Group action can be evaluated by reducing the effective Kh in the direction of loading by the following reduction factors (multiply Kh by):

Cohesionless Soils Other Considerations

Spacing 8D 6D 4D 3DReduction Factor 1.00 0.70 0.40 0.25

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LATERAL ANALYSIS(p-y METHOD a.k.a.

REESE’S LPILE METHOD)

Figure 9-44. LPILE Pile-Soil Model (FHWA NHI-05-042).

Pile is modeled as a beam-column with a distributed load along the length of

the beam produced by the elastic (spring) foundation.

The governing differential equations derived by Hetenyi (1946).

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LATERAL ANALYSIS(p-y METHOD a.k.a.

REESE’S LPILE METHOD)

Figure 9-44. LPILE Pile-Soil Model (FHWA NHI-05-042).

Es = -Es = Soil Modulus (secant modulus)p = Soil Resistance per Unit Pile

Lengthy = Lateral Soil or Pile

Deflection

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LATERAL ANALYSIS(p-y METHOD a.k.a. REESE’S LPILE METHOD)

Figure 9-45. Typical p-y Curves for Ductile and Brittle Soil

(FHWA NHI-05-042 after Coduto, 1994).

p-y Curves influenced by:• Soil Properties (most)• Depth• Pile Width• Water Table• Loading (Static or Cyclic)

Ductile Soils:Soft Clays, Sands

Brittle Soils:Stiff Clays under Dynamic Loading

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LATERAL ANALYSIS(p-y METHOD a.k.a. REESE’S LPILE METHOD)

Figure 9-46. Graphical Presentation of LPILE Results(FHWA NHI-05-042 after Reese et al. 2000).

differentiate integrate

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERAL ANALYSISFAILURE MECHANISMS OF LATERALLY LOADED PILES

From Gunaratne (2006) after Broms (1964)

FREE HEAD FIXED HEAD (RESTRAINED)

PlasticHinge

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LATERAL ANALYSISLATERAL LOAD CAPACITY

BASED ON STRENGTH(BROMS 1964a,b)

See Gunaratne (2006) for Step by Step Details.

Figure 8.5. Failure mechanisms for laterally loaded restrained piles in

cohesive soils (c) long piles.(From Broms, B., 1964a, J. Soil Mech. Found. Div., ASCE, 90(SM3):27–56.)

Simplified solutions for the ultimate lateral load capacity based on strength of the pile material,

pile dimension, and the soil shear strength.

At a lateral displacement of about 0.2D the passive resistance will be mobilized as shown

with soil located in front of the pile moving upwards towards the ground surface.

* See also FHWI NHI-05-042 & FHWA NHI-10-016

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LATERALANALYSIS

NAVFAC DESIGNPROCEDURE

(AFTER REESE ANDMATLOCK, 1956)

Three (3) Principal Loading Conditions (i.e. Cases)

Figure 10. Design Procedure for Laterally Loaded Piles.

(NAVFAC 7.02)

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LATERAL ANALYSISNAVFAC DESIGN PROCEDURE: CASE I

Figure 10. Design Procedure for Laterally Loaded Piles (NAVFAC 7.02)Pile with Flexible Cap or Hinged End Condition. Thrust and moment are applied at the top, which is free to

rotate. Obtain total deflection, moment and shear in the pile by algebraic sum of the effects of thrust and moment, given in Figure 11.

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LATERAL ANALYSISNAVFAC DESIGN PROCEDURE: CASE I

Figure 11. Case I Influence Values (NAVFAC 7.02)

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LATERAL ANALYSISNAVFAC DESIGN PROCEDURE: CASE II

Figure 10. Design Procedure for Laterally Loaded Piles (NAVFAC 7.02)

Pile with Rigid Cap Fixed against Rotation at Ground Surface. Thrust is applied at the top, which must maintain a vertical tangent. Obtain deflection and moment from influence values of

Figure 12.

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERALANALYSIS

NAVFAC DESIGNPROCEDURE: CASE II

Figure 12. Case II Influence Values (NAVFAC 7.02)

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERAL ANALYSISNAVFAC DESIGN PROCEDURE: CASE III

Figure 10. Design Procedure for Laterally Loaded Piles (NAVFAC 7.02)

Pile with Rigid Cap above Ground Surface. Rotation of pile top depends on combined effect of superstructure and resistance below ground. Express rotation as a function of the influence values of Figure 13 and determine moment at pile top. Knowing thrust and moment applied at pile top, obtain total deflection, moment and shear in the pile by algebraic sum of the separate effects from

Figure 11.

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Revised 10/2012

14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERALANALYSIS

NAVFAC DESIGNPROCEDURE: CASE III

Figure 12. Case III Influence Values (NAVFAC 7.02)

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Revised 10/2012

14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERAL ANALYSISLATERAL PILE GROUPS

Figure 1.1 Illustration of shadow and edge effects on a laterally loaded pile group(Walsh, 2005).

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Revised 10/2012

14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERALANALYSIS

LATERAL PILE GROUPS(P-MULTIPLIER METHOD,

BROWN ET AL. 1988)

Figure 5.27. The p-Mulitplier (Pm)(FHWA GEC 8 from FHWA NHI-05-042).

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Revised 10/2012

14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERAL ANALYSISLATERAL PILE GROUPS

(USING LPILE,FHWA NHI-05-041)

Figure 5.27. Typical Plots of Load versus Deflection and Bending Moment versus Deflection for Pile

Group Analysis (FHWA NHI-05-042 adapted from Brown and Bollman, 1993).

STEP 1: Obtain Lateral Loads.STEP 2: Develop p-y curves for single

pile.STEP 3: Perform LPILE analyses.STEP 4: Estimate group deflection

under lateral load (see Figure 9.69).

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14.528 DRILLED DEEP FOUNDATIONSGroup, Uplift, and Lateral Analyses

LATERAL ANALYSISFHWA DRILLED SHAFT LATERAL LOADING

DESIGN PROCESS

Figure 12-13. Drilled Shaft Design Process for Lateral Loads

(FHWA NHI-10-016)