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DEEP
FOUNDATION
(PILE)
Rekayasa Pondasi 2
Meeting 10
DEEP FOUNDATION – 101
▪ For the layered soil where the upper
parts are too weak / highly
compressible
▪ When the horizontal force acting on
the foundation is remarkable, i.e.
wind, earthquake forces
▪ For expansive soils
▪ To resist uplifting forces (e.g.,
offshore structures)
▪ Avoid the loss of bearing capacity
due to soil erosion
DEEP FOUNDATION – 101
▪ For the layered soil where the upper
parts are too weak / highly
compressible
▪ When the horizontal force acting on
the foundation is remarkable, i.e.
wind, earthquake forces
▪ For expansive soils
▪ To resist uplifting forces (e.g.,
offshore structures)
▪ Avoid the loss of bearing capacity
due to soil erosion
DEEP FOUNDATION – 101
▪ For the layered soil where the upper
parts are too weak / highly
compressible
▪ When the horizontal force acting on
the foundation is remarkable, i.e.
wind, earthquake forces
▪ For expansive soils
▪ To resist uplifting forces (e.g.,
offshore structures)
▪ Avoid the loss of bearing capacity
due to soil erosion
DEEP FOUNDATION – 101
▪ For the layered soil where the upper
parts are too weak / highly
compressible
▪ When the horizontal force acting on
the foundation is remarkable, i.e.
wind, earthquake forces
▪ For expansive soils
▪ To resist uplifting forces (e.g.,
offshore structures)
▪ Avoid the loss of bearing capacity
due to soil erosion
DEEP FOUNDATION – 101
▪ For the layered soil where the upper
parts are too weak / highly
compressible
▪ When the horizontal force acting on
the foundation is remarkable, i.e.
wind, earthquake forces
▪ For expansive soils
▪ To resist uplifting forces (e.g.,
offshore structures)
▪ Avoid the loss of bearing capacity
due to soil erosion
TYPES OF PILE
A. BASED ON MATERIAL – TIMBER (1)
Steel cap
Steel shoe
Class A -> ∅ = 356 𝑚𝑚
Class B -> ∅ = 305 − 330 𝑚𝑚
Class C -> ∅ = 305 𝑚𝑚
𝑄𝑎𝑙𝑙 = 𝐴𝑝𝑓𝑤
Av. Cross-
section area
Allowable
stress
Max. Length = 20 – 30m
TYPES OF PILE
A. BASED ON MATERIAL – PRECAST CONCRETE (2)
Re-bar to resist bending moment and vertical load
Advantages:
• Can be subjected to hard driving force
• Corrosion resistant
• Easily combined with concrete superstructure
Rebar Concrete
Length = 10 – 15m
Max. Load = 0.3 – 3 MN • Developed during transportation
• Due to lateral load
Disadvantages:
• Difficult to achieve proper cutoff
• Difficult to transport
Prestressed Concrete
Length = 10 – 45m, max. 60m
Max. Load = 7.5 – 8.5 MN
Strand is pretensioned with
900 – 1300 MPa
prestressing stress
TYPES OF PILE
A. BASED ON MATERIAL – PRECAST CONCRETE (2)
𝑄𝑎𝑙𝑙 = 𝐴𝑝𝑓𝑝 + 𝐴𝑐𝑓𝑐
TYPES OF PILE
A. BASED ON MATERIAL – IN-SITU CAST CONCRETE (3)
Usual length: 5 – 15m
Max. length: 30 – 40m
Usual load: 200 – 500kN; max. 800kN
Advantages:
• Relatively cheap
• Allow for inspection prior to production
• Easy to extend
Disadvantages:
• Difficult to splice after hardening
• Thin casings can be damaged during
driving
𝑄𝑎𝑙𝑙 = 𝐴𝑠𝑓𝑠 + 𝐴𝑐𝑓𝑐
TYPES OF PILE
A. BASED ON MATERIAL – IN-SITU CAST CONCRETE (3)
Usual length: 5 – 15m
Max. length: 30 – 40m
Usual load: 200 – 500kN; max. 800kN
Advantages:
• Relatively cheap
• Allow for inspection prior to production
• Easy to extend
Disadvantages:
• Difficult to splice after hardening
• Thin casings can be damaged during
driving
𝑄𝑎𝑙𝑙 = 𝐴𝑐𝑓𝑐
Pile cap
TYPES OF PILE
A. BASED ON MATERIAL – STEEL (4)
Usual length: 15 – 60m
Usual load: 300 – 1200kN
Advantages:
• Easy to modify (cutoff, extend)
• Can stand high driving force
• Can penetrate hard layers
• High load-carrying capacity
Disadvantages:
• Expensive
• High noise during driving
• Prone to corrosion
• Prone to deflection/cross-section
damage -> H-section
𝑄𝑎𝑙𝑙 = 𝐴𝑆𝑓𝑆
𝒇𝑺 =
𝟏
𝟑
~
𝟏
𝟐
𝒇𝒚
TYPES OF PILE
A. BASED ON MATERIAL – STEEL (4)
TYPES OF PILE
A. BASED ON MATERIAL – STEEL (4)
TYPES OF PILE
A. BASED ON MATERIAL – STEEL (4)
Splicing is permitted
(weld/bolt).
Shoes / driving point is
permitted for hard driving
conditions
PILE INSTALLATION
A. DROP HAMMER
B. VIBRATORY DRIVER
DEEP
FOUNDATION
(PILE)
Rekayasa Pondasi 2
Meeting 11
HOW IS LOAD TRANSFERRED?
Skin resistance
(friction)
Point
resistance
Based on Terzaghi
equation
𝑄𝑢 = 𝑄𝑝 + 𝑄𝑠
POINT LOAD (QP)
Terzaghi
POINT LOAD (QP) – MEYERHOFF
pa = atmospheric
pressure = 100 kPa
1. Sand
2. Saturated clay
Note:
Both 𝜙’ and cu are from the bearing
soil, i.e. beneath the tip of the pile
POINT LOAD (QP) – VESIC
1. Sand
pa = atmospheric pressure = 100 kPa
2. Saturated clay
Clay
Sand
POINT LOAD (QP) – COYLE & CASTELLO
1. Sand
POINT LOAD (QP) - PILE ON ROCK
Min. 3
To incorporate the size effect of the lab test sample, then
EXAMPLE 1
Consider a 20-m-long concrete pile with a cross section of
0.407m x 0.407m fully embedded in sand. For the sand,
given: unit weight, = 18 kN/m3; and soil friction angle =
35o.
Estimate the ultimate point Qp with each of the following:
a. Meyerhof’s method
b. Vesic’s method
c. The method of Coyle and Castello
d. Based on the results of parts a, b, and c, adopt a value
for Qp
EXAMPLE 2
Consider a pipe pile (flat driving point)
having an outside diameter of 457 mm. The
embedded length of the pile in layered
saturated clay is 20 m.
The details of the subsoil are given in the
following table.
The groundwater table is located at a depth
of 3 m from the ground surface. Estimate Qp
by using:
• Meyerhof’s method
• Vesic’s method
FRICTIONAL RESISTANCE (QS)
1. Sand
“Quite difficult to estimate"
0.5 − 0.8 𝜙’
Mansur & Hunter
(1970)
0.8 𝜙’
Av. Eff. Overburden pressure
Coyle & Castello
(1981)
≈ 15𝐷
FRICTIONAL RESISTANCE (QS)
1. Sand – SPT result
High-displacement driven pile
Meyerhoff (1976)
Low-displacement driven pile
Briaud et al. (1985)
2. Sand –
CPT result
𝑄𝑠 = 𝑝 ∆𝐿 𝛼’𝑓𝑐
Electric Sondir
Mechanical Sondir
FRICTIONAL RESISTANCE (QS)
2. Clay
𝝀 method - Vijayvergiya and Focht (1972)
𝜎’0 = mean eff. Vertical stress
within the embedment
length
𝑐𝑢= undrained shear strength (𝜙 = 0)
FRICTIONAL RESISTANCE (QS)
2. Clay
𝜶 method
𝑐𝑢= undrained shear strength (𝜙 = 0)
Sladen (1992)
Terzaghi, Peck, Besri (1996) NGI-99 method
API (2007)
FRICTIONAL RESISTANCE (QS)
2. Clay
𝜷 method
Normally
Consolidated Soil
Over
Consolidated Soil
𝛽
EXAMPLE 3
• Calculate the skin resistance (Qs) by (1) the
𝜆 method, (2) the 𝛼 method, and (3) the 𝛽
method.
For the 𝛽 method, use 𝜙’𝑅 = 30∘
for all
clay layers. The top 10 m of clay is
normally consolidated. The bottom clay
layer has an OCR = 2. (Note: diameter of
pile = 457 mm)
• For Qp = 151 kN, estimate the allowable
pile capacity (Qall). Use FS = 4.
DEEP
FOUNDATION
(PILE)
Rekayasa Pondasi 2
Meeting 12
Pile Driving
Impact
IMPACT DRIVING
1. Energy-based equation (Engineering News)
Conservation of energy
Steam
hammer
Drop
hammer
Weight of ram
Height of fall for ram
Pile penetration per
hammer blow
For Double Acting Hammer,
Efficiency
Rated energy of hammer
OTHER EQUATIONS FOR
IMPACT DRIVING
WAVE EQUATION
FOR IMPACT DRIVE
The preceded equations were not reliable ->
Empirical only
Only applies to certain type and length of pile
Wave equation approach is introduced
VIBRATORY
DRIVING
Horsepower
delivered to pile
Final rate of pile
penetration
Loss
factor
Davison (1970)
For granular soil
Centrifugal
Force
Bias
Weight
Final rate of
pile
penetration Speed
of light
Embedded
length
Length of
pile
Feng & Deschamps (2000)
For granular soil
Total eccentric
rotating mass
Distance centre of
each rotating
mass – centre of
rotation
Angular
frequency
WINKLER MODEL
GRANULAR SOIL
COEFFICIENTS
BY MATLOCK AND REESE (1960)
WINKLER MODEL
COHESIVE SOIL
SETTLEMENT
OF PILE
load carried at
the pile point
under working
load condition
Skin resistance
under working
load condition
Cross-
section
area
Elastic
Modulus
pile
“Linear Elastic Solution”
𝑸𝒘𝒑
𝑨𝒑 Width/Diameter
Elastic
Modulus
soil
Poisson’s
Ratio
0.85
Empirical by Vesic (1977)
Perimeter
𝟎. 𝟗𝟑 + 𝟎. 𝟏𝟔 𝑳
𝑫 𝑪𝒑
Empirical by Vesic (1977)
?
𝑪𝒑
EXAMPLE 1
▪ Consider a 20-m-long steel
pile driven by a Bodine
Resonant Driver (Section
HP 310 x 125) in a medium
dense sand. If Hp = 350
horsepower, 𝜐𝑝 = 0.0016
m/s, and f = 115 Hz,
calculate the ultimate pile
capacity, Qu .
EXAMPLE 2
The allowable working load on a
prestressed concrete pile 21-m long
that has been driven into sand is 502
kN. The pile is octagonal in shape
with D = 356 mm. Skin resistance
carries 350 kN of the allowable load,
and point bearing carries the rest.
Use Ep = 21 x 106 kN/m2, Es = 25 x
103 kN/m2, 𝜇𝑠 = 0.35, and 𝜁 = 0.62.
Determine the settlement of the pile.
DEEP
FOUNDATION
(PILE)
Rekayasa Pondasi 2
Meeting 13
GROUP PILE SYSTEM
KAPASITAS DUKUNG
KAPASITAS DUKUNG
KAPASITAS DUKUNG
KAPASITAS DUKUNG
KAPASITAS DUKUNG
HOW IT WORKS
SANDY SOIL
𝜂 = group efficiency
Qg(u) = ultimate load-bearing capacity of the group pile
Qu = ultimate load-bearing capacity of each pile without the
group effect
For 𝜼 ≤ 𝟏, or centre-to-centre spacing is small
For 𝜼 > 𝟏, or centre-to-centre spacing is large
HOW IT WORKS
SANDY SOIL
(Kishida and Meyerhof, 1965)
HOW IT WORKS
CLAYEY SOIL
Two possible values:
1st:
Single pile failure
2nd:
Block failure
Lower values of 1st and 2nd will be the Qg
HOW IT WORKS
CLAYEY SOIL
Values of Nc*
EXAMPLE
The section of a 3 x 4 group pile in a layered saturated clay is shown in Figure.
The piles are square in cross section (14 in. x 14 in.). The centre-to-centre spacing,
d, of the piles is 35 in.
Determine the allowable load-bearing capacity of the pile group. Use FS = 4.
Note that the groundwater table coincides with the ground surface.
SETTLEMENT OF GROUP PILES
▪ Elastic Settlement
▪ Consolidation settlement
SETTLEMENT OF GROUP PILES
▪ Elastic Settlement
▪ Consolidation settlement
General Eq. (Vesic, 1969)
Meyerhoff (1976) – SPT
Meyerhoff (1976) – Sondir
SETTLEMENT OF GROUP PILES
▪ Elastic Settlement
▪ Consolidation settlement 2 : 1 Method
z = 0
Take the middle
part of each soil
layer
EXAMPLE
Determine the consolidation settlement of the piles. All clays are
normally consolidated.

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Deep Foundation (Pile)

  • 2. DEEP FOUNDATION – 101 ▪ For the layered soil where the upper parts are too weak / highly compressible ▪ When the horizontal force acting on the foundation is remarkable, i.e. wind, earthquake forces ▪ For expansive soils ▪ To resist uplifting forces (e.g., offshore structures) ▪ Avoid the loss of bearing capacity due to soil erosion
  • 3. DEEP FOUNDATION – 101 ▪ For the layered soil where the upper parts are too weak / highly compressible ▪ When the horizontal force acting on the foundation is remarkable, i.e. wind, earthquake forces ▪ For expansive soils ▪ To resist uplifting forces (e.g., offshore structures) ▪ Avoid the loss of bearing capacity due to soil erosion
  • 4. DEEP FOUNDATION – 101 ▪ For the layered soil where the upper parts are too weak / highly compressible ▪ When the horizontal force acting on the foundation is remarkable, i.e. wind, earthquake forces ▪ For expansive soils ▪ To resist uplifting forces (e.g., offshore structures) ▪ Avoid the loss of bearing capacity due to soil erosion
  • 5. DEEP FOUNDATION – 101 ▪ For the layered soil where the upper parts are too weak / highly compressible ▪ When the horizontal force acting on the foundation is remarkable, i.e. wind, earthquake forces ▪ For expansive soils ▪ To resist uplifting forces (e.g., offshore structures) ▪ Avoid the loss of bearing capacity due to soil erosion
  • 6. DEEP FOUNDATION – 101 ▪ For the layered soil where the upper parts are too weak / highly compressible ▪ When the horizontal force acting on the foundation is remarkable, i.e. wind, earthquake forces ▪ For expansive soils ▪ To resist uplifting forces (e.g., offshore structures) ▪ Avoid the loss of bearing capacity due to soil erosion
  • 7. TYPES OF PILE A. BASED ON MATERIAL – TIMBER (1) Steel cap Steel shoe Class A -> ∅ = 356 𝑚𝑚 Class B -> ∅ = 305 − 330 𝑚𝑚 Class C -> ∅ = 305 𝑚𝑚 𝑄𝑎𝑙𝑙 = 𝐴𝑝𝑓𝑤 Av. Cross- section area Allowable stress Max. Length = 20 – 30m
  • 8. TYPES OF PILE A. BASED ON MATERIAL – PRECAST CONCRETE (2) Re-bar to resist bending moment and vertical load Advantages: • Can be subjected to hard driving force • Corrosion resistant • Easily combined with concrete superstructure Rebar Concrete Length = 10 – 15m Max. Load = 0.3 – 3 MN • Developed during transportation • Due to lateral load Disadvantages: • Difficult to achieve proper cutoff • Difficult to transport Prestressed Concrete Length = 10 – 45m, max. 60m Max. Load = 7.5 – 8.5 MN Strand is pretensioned with 900 – 1300 MPa prestressing stress
  • 9. TYPES OF PILE A. BASED ON MATERIAL – PRECAST CONCRETE (2) 𝑄𝑎𝑙𝑙 = 𝐴𝑝𝑓𝑝 + 𝐴𝑐𝑓𝑐
  • 10. TYPES OF PILE A. BASED ON MATERIAL – IN-SITU CAST CONCRETE (3) Usual length: 5 – 15m Max. length: 30 – 40m Usual load: 200 – 500kN; max. 800kN Advantages: • Relatively cheap • Allow for inspection prior to production • Easy to extend Disadvantages: • Difficult to splice after hardening • Thin casings can be damaged during driving 𝑄𝑎𝑙𝑙 = 𝐴𝑠𝑓𝑠 + 𝐴𝑐𝑓𝑐
  • 11. TYPES OF PILE A. BASED ON MATERIAL – IN-SITU CAST CONCRETE (3) Usual length: 5 – 15m Max. length: 30 – 40m Usual load: 200 – 500kN; max. 800kN Advantages: • Relatively cheap • Allow for inspection prior to production • Easy to extend Disadvantages: • Difficult to splice after hardening • Thin casings can be damaged during driving 𝑄𝑎𝑙𝑙 = 𝐴𝑐𝑓𝑐
  • 12.
  • 13.
  • 15. TYPES OF PILE A. BASED ON MATERIAL – STEEL (4) Usual length: 15 – 60m Usual load: 300 – 1200kN Advantages: • Easy to modify (cutoff, extend) • Can stand high driving force • Can penetrate hard layers • High load-carrying capacity Disadvantages: • Expensive • High noise during driving • Prone to corrosion • Prone to deflection/cross-section damage -> H-section 𝑄𝑎𝑙𝑙 = 𝐴𝑆𝑓𝑆 𝒇𝑺 = 𝟏 𝟑 ~ 𝟏 𝟐 𝒇𝒚
  • 16. TYPES OF PILE A. BASED ON MATERIAL – STEEL (4)
  • 17. TYPES OF PILE A. BASED ON MATERIAL – STEEL (4)
  • 18. TYPES OF PILE A. BASED ON MATERIAL – STEEL (4) Splicing is permitted (weld/bolt). Shoes / driving point is permitted for hard driving conditions
  • 19.
  • 22.
  • 24.
  • 26. HOW IS LOAD TRANSFERRED? Skin resistance (friction) Point resistance Based on Terzaghi equation 𝑄𝑢 = 𝑄𝑝 + 𝑄𝑠
  • 28. POINT LOAD (QP) – MEYERHOFF pa = atmospheric pressure = 100 kPa 1. Sand 2. Saturated clay Note: Both 𝜙’ and cu are from the bearing soil, i.e. beneath the tip of the pile
  • 29. POINT LOAD (QP) – VESIC 1. Sand pa = atmospheric pressure = 100 kPa 2. Saturated clay
  • 31. POINT LOAD (QP) – COYLE & CASTELLO 1. Sand
  • 32. POINT LOAD (QP) - PILE ON ROCK Min. 3 To incorporate the size effect of the lab test sample, then
  • 33. EXAMPLE 1 Consider a 20-m-long concrete pile with a cross section of 0.407m x 0.407m fully embedded in sand. For the sand, given: unit weight, = 18 kN/m3; and soil friction angle = 35o. Estimate the ultimate point Qp with each of the following: a. Meyerhof’s method b. Vesic’s method c. The method of Coyle and Castello d. Based on the results of parts a, b, and c, adopt a value for Qp
  • 34. EXAMPLE 2 Consider a pipe pile (flat driving point) having an outside diameter of 457 mm. The embedded length of the pile in layered saturated clay is 20 m. The details of the subsoil are given in the following table. The groundwater table is located at a depth of 3 m from the ground surface. Estimate Qp by using: • Meyerhof’s method • Vesic’s method
  • 35. FRICTIONAL RESISTANCE (QS) 1. Sand “Quite difficult to estimate" 0.5 − 0.8 𝜙’ Mansur & Hunter (1970) 0.8 𝜙’ Av. Eff. Overburden pressure Coyle & Castello (1981) ≈ 15𝐷
  • 36. FRICTIONAL RESISTANCE (QS) 1. Sand – SPT result High-displacement driven pile Meyerhoff (1976) Low-displacement driven pile Briaud et al. (1985) 2. Sand – CPT result 𝑄𝑠 = 𝑝 ∆𝐿 𝛼’𝑓𝑐 Electric Sondir Mechanical Sondir
  • 37. FRICTIONAL RESISTANCE (QS) 2. Clay 𝝀 method - Vijayvergiya and Focht (1972) 𝜎’0 = mean eff. Vertical stress within the embedment length 𝑐𝑢= undrained shear strength (𝜙 = 0)
  • 38. FRICTIONAL RESISTANCE (QS) 2. Clay 𝜶 method 𝑐𝑢= undrained shear strength (𝜙 = 0) Sladen (1992) Terzaghi, Peck, Besri (1996) NGI-99 method API (2007)
  • 39. FRICTIONAL RESISTANCE (QS) 2. Clay 𝜷 method Normally Consolidated Soil Over Consolidated Soil 𝛽
  • 40. EXAMPLE 3 • Calculate the skin resistance (Qs) by (1) the 𝜆 method, (2) the 𝛼 method, and (3) the 𝛽 method. For the 𝛽 method, use 𝜙’𝑅 = 30∘ for all clay layers. The top 10 m of clay is normally consolidated. The bottom clay layer has an OCR = 2. (Note: diameter of pile = 457 mm) • For Qp = 151 kN, estimate the allowable pile capacity (Qall). Use FS = 4.
  • 43. IMPACT DRIVING 1. Energy-based equation (Engineering News) Conservation of energy Steam hammer Drop hammer Weight of ram Height of fall for ram Pile penetration per hammer blow For Double Acting Hammer, Efficiency Rated energy of hammer
  • 45. WAVE EQUATION FOR IMPACT DRIVE The preceded equations were not reliable -> Empirical only Only applies to certain type and length of pile Wave equation approach is introduced
  • 46.
  • 47. VIBRATORY DRIVING Horsepower delivered to pile Final rate of pile penetration Loss factor Davison (1970) For granular soil Centrifugal Force Bias Weight Final rate of pile penetration Speed of light Embedded length Length of pile Feng & Deschamps (2000) For granular soil Total eccentric rotating mass Distance centre of each rotating mass – centre of rotation Angular frequency
  • 48.
  • 52. SETTLEMENT OF PILE load carried at the pile point under working load condition Skin resistance under working load condition Cross- section area Elastic Modulus pile “Linear Elastic Solution” 𝑸𝒘𝒑 𝑨𝒑 Width/Diameter Elastic Modulus soil Poisson’s Ratio 0.85 Empirical by Vesic (1977) Perimeter 𝟎. 𝟗𝟑 + 𝟎. 𝟏𝟔 𝑳 𝑫 𝑪𝒑 Empirical by Vesic (1977) ? 𝑪𝒑
  • 53. EXAMPLE 1 ▪ Consider a 20-m-long steel pile driven by a Bodine Resonant Driver (Section HP 310 x 125) in a medium dense sand. If Hp = 350 horsepower, 𝜐𝑝 = 0.0016 m/s, and f = 115 Hz, calculate the ultimate pile capacity, Qu .
  • 54. EXAMPLE 2 The allowable working load on a prestressed concrete pile 21-m long that has been driven into sand is 502 kN. The pile is octagonal in shape with D = 356 mm. Skin resistance carries 350 kN of the allowable load, and point bearing carries the rest. Use Ep = 21 x 106 kN/m2, Es = 25 x 103 kN/m2, 𝜇𝑠 = 0.35, and 𝜁 = 0.62. Determine the settlement of the pile.
  • 62. HOW IT WORKS SANDY SOIL 𝜂 = group efficiency Qg(u) = ultimate load-bearing capacity of the group pile Qu = ultimate load-bearing capacity of each pile without the group effect For 𝜼 ≤ 𝟏, or centre-to-centre spacing is small For 𝜼 > 𝟏, or centre-to-centre spacing is large
  • 63. HOW IT WORKS SANDY SOIL (Kishida and Meyerhof, 1965)
  • 64. HOW IT WORKS CLAYEY SOIL Two possible values: 1st: Single pile failure 2nd: Block failure Lower values of 1st and 2nd will be the Qg
  • 65. HOW IT WORKS CLAYEY SOIL Values of Nc*
  • 66. EXAMPLE The section of a 3 x 4 group pile in a layered saturated clay is shown in Figure. The piles are square in cross section (14 in. x 14 in.). The centre-to-centre spacing, d, of the piles is 35 in. Determine the allowable load-bearing capacity of the pile group. Use FS = 4. Note that the groundwater table coincides with the ground surface.
  • 67. SETTLEMENT OF GROUP PILES ▪ Elastic Settlement ▪ Consolidation settlement
  • 68. SETTLEMENT OF GROUP PILES ▪ Elastic Settlement ▪ Consolidation settlement General Eq. (Vesic, 1969) Meyerhoff (1976) – SPT Meyerhoff (1976) – Sondir
  • 69. SETTLEMENT OF GROUP PILES ▪ Elastic Settlement ▪ Consolidation settlement 2 : 1 Method z = 0 Take the middle part of each soil layer
  • 70. EXAMPLE Determine the consolidation settlement of the piles. All clays are normally consolidated.