A 18 APR 2012 FOR REVIEW H.I.KIM J.B.SEO S.H.JU
Rev. DATE REASON FOR REVISION DRAWN CHECKED APPROVED
EMPLOYER Kenya Electricity Generating Company Ltd. Stima Plaza, Phase III
Kolobot Road,
P.O. Box 47936 – 00100 GPO, Nairobi, KENYA
Tel : +254 20 3666000 Fax : +254 20 248848 EMPLOYER’S REPRESENTATIVE
Sinclair Knight Merz Ltd Carlaw Park Commercial,
12-16 Nicholls Lane, Parnell, Auckland, NEW ZEALAND
Tel : +64 9 928 5500 Fax : +64 9 928 5501 EPC CONTRACTOR
Hyundai Engineering Co., Ltd.
Hyundai 41 Tower, Mok 1-dong, Yangcheon-gu, Seoul, KOREA
Tel : +82 2 2166 8573 Fax : +82 2 2643 0773
Toyota Tsusho Corporation 3-13, Konan 2-chome, Minato-ku, Tokyo, JAPAN
Tel : +81 3 4306 3200 Fax : +81 3 4306 8908 DRAWN BY DATE
PROJECT
H.I.KIM 18 APR 2012
OLKARIA IV GEOTHERMAL POWER PLANT
DESIGN BY DATEE.J.LIM 18 APR 2012
TITLE & DESCRIPTION
CHECK BY DATE
DESIGN CALCULATION –
BORED CAST IN-SITU PILE
J.B.SEO 18 APR 2012 APPROVED BY DATE
S.H.JU 18 APR 2012
DRAWING SCALE DRAWING No. Rev.
GENERAL General
Design Code & Reference Design Method
Design Data
GEOTECHNICAL PILE CAPACITY BH-01 BH-02 BH-04 BH-05 BH-06 BH-08 BH-09 BH-10 BH-11 DBH-01 DBH-02 SUMMARY
STRUCTURAL PILE DESIGN 1.0 1.1 1.2 2.1 1.3 1.4 2.0 2.6 2.7 2.5 2.10 2.2 2.3 2.4 2.8 4 0 2.9 3.0 2.11
STRUCTURAL PILE DESIGN
Cast In Situ PILE ( Φ = 600, L = 15m ) Calculation Cast In Situ PILE ( Φ = 600, L = 18m ) Calculation Cast In Situ PILE ( Φ = 600, L = 20m ) Calculation Cast In Situ PILE ( Φ = 600, L = 25m ) Calculation CONCLUSIONS
ATTACHMENT
Attachment-1: Borehole Location Attachment-2: Borehole Logs Attachment-3: Pile Drawing 4.1 4.3 4.0 4.4 4.2 5.0
1.0 GENERAL
1.1 General
For the Olkaria Ⅳ Geothermal Power Plant Project, pile foundation will be needed to support the buildings and concrete structures depending on sub-soil condition.
The allowable pile capacity was calculated base on soil investigation results which will be submitted as separate report(Doc No. ZP00700-B2CE-ECG-RPT-0001).
In consideration of sub-soil condition, the various bored pile will be adopted.
1.2 Design Code & Reference
1) BS 8110 : Structural Use of Concrete 2) BS 8004 : Foundations
3) Principles of Foundation Engineering, 6th
Edition, Braja M. Das, Thomson Learning, 2007 4) ZP00700-B2CE-ECG-DSC-0001: Design Criteria for Civil and Building Works
5) FHWA-IF-99-025: Drilled Shafts: Construction Procedures and Design Methods
1.3 Design Criteria
1) Factor of Safety for End Bearing, FSbearing =
2) Factor of Safety for Skin Friction, FSfriction =
3) Factor of Safety for Lateral Load, FSlateral = 2.0
2.0 2.0
1.4 Design Data
1) Pile
- Type : Bored Pile
- Dimension : D mm
- Modulus of elasticity (Ep) : MPa = kN/m²
- Pile section (Ap) : m2
2) Concrete
- Strength at 28 days (fc') : MPa = kN/m² (Cube strength)
- Unit weight (γc) : kg/m³ = kN/m3
- Modulus of elasticity (Ec) : MPa = kN/m²
3) Reinforcement steel (BS 4449)
- Minimum yield strength (fy) : MPa = kN/m²
- Modulus of elasticity (Es) : MPa = kN/m²
- Minimum cover for concrete protection : mm
25,000,000 2.0E+08 25 2.0E+05 25.0 0.28 460,000 25,000 25,000,000 60 460 25,000 25,000 600 2,500
2.0
GEOTECHNICAL PILE CAPACITY
2.1 BH-01
2.1.1 Subsoil Conditions
m G.W.T (m) =
~
Note: 1) "Cohesive" = clay or plastic sily, "Cohesionless" = sand, gravel or non-plastic silt 2) For cohesionless soil, we couldn't carry out unit weight tests because sampling of
from to 0.0 -3.0 -3.0 -6.0 -9.0 -11.0 Depth of layer (m) 0.0 -25.0 184.8 42 42 184.8 4 5 8 35 24 154 105.6 22 13.0 35.2 79.2 18 8 18 13.0 BH-01 Pile Length = -6.0 -9.0 Su5) 18.0 4 5 γ2) 17.6 -4.5 Cohesive Cohesive (kN/m3) 13.0 13.0 -1.5 Soil type1) N3) (kPa) (blow) center N604) (blow) -7.5 -10.0 -14.0 -12.0 13.0 Cohesive Cohesive Cohesive Cohesive 24 35 13.0 -11.0 -13.0 -13.0 -15.0 13.0 Cohesive Cohesive -16.5 -15.0 -18.0
cohesionless soil is very difficult. Therefore, we use typical soil properties in a natural state and conservartively select soil type.
- Type of soil = Loose angular-grained silty sand - Natural moisture content in a saturated sta = 25%
- Dry unit weight, γd = 12kN/m3
3) SPT N-value obtained from the field test Attachment-2 4) Corrected for hammer energy without overburden pressure correction
N60 = ( ER / 60 ) x N where, ER = SPT energy ratio = 60 %
5)
Cohesion of so(take minimum value from following two equations)
K · N
where K =
4 kN/m
2(Stroud, 1974)
2.1.2 Allowable Compression Capacity (Reese and O'Neill, 1999) 1) Base Resistance for Compression Loading
a) Cohesive soil
qmax = Nc* x su = kPa
where, Nc* = bearing capacity factor =
6.5 at su = 24 kPa
8.0 at su = 48 kPa
9.0 at su > 25 kPa
su = average undrained shear strength between the base of the pile and
an elevation 2B below the base b) Cohesionless soil
qmax = 57.5 N60 = kPa
where, N60 = average SPT blow count between the base of the pile and
an elevation 2B below the base for condition which approximately 60 percent of the potential energy of hammer is transferred 2) Side Resistance for Compression Loading
1663.2
0.0
9
a) Cohesive soil fmax = α x su
where, α = a dimensionless correction coefficient defined as follows:
α = 0 between the ground surface and a depth of 1.5 m or to the depth of seasonal moisture change, whichever is deeper α = 0 for a distance of B (the diameter of the base) above the base α = 0.55 for su / Pa ≤ 1.5 (Mpa)
α = 0.55 - 0.1 ( su / Pa - 1.5 ) for 1.5 ≤ su / Pa ≤ 2.5 (Mpa)
where, Pa=the atmospheric pressure in the units being used
(e.g., 101 kPa in the SI system). b) Cohesionless soil
fmax = β x σ'v
where, σ'v = vertical effective stress at the middle of layer
β = dimensionless correction factor defined as follows: in sands
β = 1.5 - 0.245 z0.5 for N
60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
in gravelly sands or gravels
β = 2.0 - 0.15 z0.75 for N60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
where, z = vertical distance from the ground surface to the middle of layer (in meters)
Note: 1) Thickness of layer.
4) Allowable compression capacity
Qa = ( qmax x Ap ) / FSbearing + Qs / FSfriction = 863.8 kN
0.0 0.0 0.00 0.0 0.0 10 0.0 (kN) 0.0 317.9 68.4 3.8 3.8 1257.4 5 154.0 0.55 184.8 8 22.0 (kPa) (blow) 35 79.2 24 35.2 44.7 Qs 0.55 12.1 3.0 0.55 2.0 164.2 219.0 43.6 109.5 3 0.0 0 2 1 4 Layer No. N60 38.3 5.7 3.8 31.9 0.55 58.1 2.0 19.4 6 As (m2) 1.9 18.2 0.55 105.6 14.4 5 su 0.0 4 7 42 18 8 0 84.3 2.0 3.8 360.2 0.0 0.0 0.0 52.6 0.52 3.8 2.0 0.00 0.0 0.00 0.0 0.0 0.0 0.0 α fmax 23.9 0.55 4.8 5.7 (kPa) Thick.1) σv' (kPa) (m) 17.6 3.0 β sum 9 0 0.00 0.00 0.00 1.04 9.7 2.0 0.58 0.50 1.0 95.5 0.32 0.33 0.44 0.87
2.1.3 Allowable Tension Capacity (Reese and O'Neill, 1999) 1) Base resistance for uplift loading
qmax (uplift)1) = 0
Note: 1) qmax should be taken as zero for uplift loading unless experience or load testing at
the construction site can show that suction between the bottom of the drilled shaft and the soil can be predicted reliably or the drilled shaft has a bell.
2) Side resistance for uplift loading fmax (uplift) = ψ x fmax (compression)
where, ψ = for Cohesive soil ψ = for Cohesionless soil
68.4 109.5 18.2 164.2 219.0 317.9 1.00 317.9 1.00 1.00 1.00 1.00 Cohesive Cohesive 219.0 Cohesive Soil type Qs (kN) 1.00 0.75 Ts (kN) Cohesive 18.2 68.4 109.5 ψ 164.2 Cohesive Cohesive 1.00 sum =
3) Allowable tension capacity
Ta = ( Tp + Ts ) / FSfriction = 628.7 kN 360.2 0.0 0.0 0.0 1257.4 0.00 0.0 0.0 0.0 1.00 0.00 0.00 360.2 0 0 0 Cohesive
2.1.4 Allowable Lateral Load Capacity (Broms' Method) 1) Coefficient of horizontal subgrade reaction
a) General soil type1) :
Note: 1) Determine the general soil type within the critical depth below the grond FHWA-HI-97-013 surface (about 4 or 5 pile diameters). Chapter 9 b) Average soil parameter with the critical depth
su
=
kPa for Cohesive soilϕ
=
deg for Cohesionless soilwhere, ϕ = Internal friction angle correleted by Ozaki's equation1)
Note: 1) ϕ = ( 20 N )0.5
+ 15 c) Coefficient of horizontal subgrade reaction, Kh
Kh = n1 x n2 x 80 x qu / b = kN/m3 for Cohesive soil
where, qu = Unconfined compressive strength = 35.2 kPa
17.6 0.0
1727.1
Cohesive
b = Width or diameter of pile = m
n1 = Empirical coefficients dependent on qu =
n1 = 0.32 for less than 48 kPa
n1 = 0.36 for 48 to 191 kPa
n1 = 0.40 for more than 191 kPa
n2 = Empirical coefficient dependent on pile material =
n2 = 1.00 for steel
n2 = 1.15 for concrete
n2 = 1.30 for wood
Kh = kN/m3 for Cohesionless soil
where, above ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
below ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
1900 1086 0.6 5429 0.32 1.15 10857 0.0 8143 17644
2) Pile parameters
a) Modulus of elasticity, E = Mpa b) Moment of inertia, I = m4
c) Section modulus, S = m3 d) Embedded pile length D = m e) Diameter or width, b = m
f) Ultimate compression strength for concrete, f'c = Mpa
g) Eccentricity of applied load for free-headed piles, ec=
h) Resisting moment of pile for concrete piles, My = fc' S kN-m
3) Dimensionless length factor a) Stiffness factor
βh = ( Kh b / 4EI )0.25 = m-1 for Cohesive soil,
25.0 530.1 0.0 0.20 0.60 18.0 25000 0.0064 0.0212
η = (Kh / EI)0.20 = m-1 for Cohesionless soil,
b) Length factor
βh D = for Cohesive soil,
η D = for Cohesionless soil,
4) Determine if the pile is long or short a) Cohesive soil:
where, βh D > 2.25 (long pile)
βh D < 2.25 (short pile)
b) Cohesionless soil:
where, η D > 4.0 (long pile) η D < 2.0 (short pile) 2.0 < η D < 4.0 (intermediate pile) → Soil type = Pile type = 3.62 0.00 Cohesive long pile 0.00 short pile long pile
5) Soil parameters
cu = kPa
where, cu = cohesion for cohesive soil
6) Ultimate lateral load (Cohesive, long pile) My/cub3
=
ec/b
=
Qu/cub2
=
from the below chartQu
=
kN 17.6 0 139.5 57.0 361.27) Allowable lateral load capacity
Hu = kN
Ha = Hu / FSlateral = 180.6 kN
2.1.5
PILE SETTLEMENT
Elastic Settlement of Pile
se(1) = (Qwp + ξ·Qws) x L / (Ap x Ep)
where, Qwp= load carried at the pile point under working load condition
Qws= load carried by frictional resistance under working load condition
Ap = area of cross section of pile
L = length of pile
Ep = modulus of elasticity of the pile material
ξ = coefficient which will depend on the nature of the distribution of the unit friction resistance along the pile shaft
conservatively, 0.5
Settlement of Pile Caused by the Load at the Pile Tip (Vesic, 1977)
0.5 1.67 Design-N 444.7 419.1 0.28 18.0 25000 (mm) Qws Ap L Ep ξ se(1) (kN) (m2 ) (m) (Mpa) Borehole Qwp (kN) se(2) = (Qwp x Cp) / (D x qp)
where, qp = ultimate point resistance of the pile
Cp = an empirical coefficient
Settlement of Pile Caused by the Load Transmitted along the Pile Shaft (Vesic, 1977)
se(3) = (QwS x CS) / (L x qp)
where, Cs = an empirical constant = [ 0.93 + 0.16 (L / D)0.5] Cp
Design-N 18.0 419.1 1663.2 0.07 1.01 Cs se(3) (mm) Borehole L Qws qp (m) (kN) (kN/m2) Design-N 600 444.7 1663.2 0.04 17.82 Cp se(2) (mm) Borehole D Qwp qp (mm) (kN) (kN/m2)
Silt (dense to loose) 0.03 - 0.05 0.09 - 0.12 Clay (Stiff to Soft) 0.02 - 0.03 0.03 - 0.06 Sand (dense to loose) 0.02 - 0.04 0.09 - 0.18 Type of soil Driven piles Bored piles
Total Settlement of Pile
se = se(1) + se(2) + se(3)
where, se(1)= elastic settlement of pile
se(2)= settlement of pile caused by the load at the pile tip
se(3)= settlement of pile caused by the load transmitted along the pile shaft
Note: 1) se(allowable) = mm
Eurocode 7: Geotechnical design, Annex H,
For normal structures with isolated foundations, total settlements up to 50mm are often acceptable.
(mm) (mm) (mm) (mm)
50.0
Borehole se(1) se(2) se(3) se Check1)
2.2 BH-02
2.2.1 Subsoil Conditions
m G.W.T (m) =
~
Note: 1) "Cohesive" = clay or plastic sily, "Cohesionless" = sand, gravel or non-plastic silt 2) For cohesionless soil, we couldn't carry out unit weight tests because sampling of
-15.0 Cohesive 70.4 16 70.4 -13.0 -15.0 -14.0 Cohesive 13.0 16 16 70.4 -11.0 -13.0 -12.0 Cohesive 13.0 16 25 110 -8.0 -11.0 -9.5 Cohesive 13.0 21 21 92.4 -6.0 -8.0 -7.0 Cohesive 13.0 25 154 -3.0 -6.0 -4.5 Cohesive 13.0 31 31 136.4
(blow) (blow) (kPa)
0.0 -3.0 -1.5 Cohesive 13.0 35 35
Depth of layer (m)
Soil type1) γ2) N3) N604) su5)
from to center (kN/m3)
BH-02 Pile Length = 15.0 0.0
cohesionless soil is very difficult. Therefore, we use typical soil properties in a natural state and conservartively select soil type.
- Type of soil = Loose angular-grained silty sand - Natural moisture content in a saturated sta = 25%
- Dry unit weight, γd = 12kN/m3
3) SPT N-value obtained from the field test Attachment-2 4) Corrected for hammer energy without overburden pressure correction
N60 = ( ER / 60 ) x N where, ER = SPT energy ratio = 60 %
5)
Cohesion of so(take minimum value from following two equations)
K · N
where K =
4 kN/m
2(Stroud, 1974)
2.2.2 Allowable Compression Capacity (Reese and O'Neill, 1999) 1) Base Resistance for Compression Loading
a) Cohesive soil
qmax = Nc* x su = kPa
where, Nc* = bearing capacity factor =
6.5 at su = 24 kPa
8.0 at su = 48 kPa
9.0 at su > 25 kPa
su = average undrained shear strength between the base of the pile and
an elevation 2B below the base b) Cohesionless soil
qmax = 57.5 N60 = kPa
where, N60 = average SPT blow count between the base of the pile and
an elevation 2B below the base for condition which approximately 60 percent of the potential energy of hammer is transferred 2) Side Resistance for Compression Loading
0.0
9 633.6
a) Cohesive soil fmax = α x su
where, α = a dimensionless correction coefficient defined as follows:
α = 0 between the ground surface and a depth of 1.5 m or to the depth of seasonal moisture change, whichever is deeper α = 0 for a distance of B (the diameter of the base) above the base α = 0.55 for su / Pa ≤ 1.5 (Mpa)
α = 0.55 - 0.1 ( su / Pa - 1.5 ) for 1.5 ≤ su / Pa ≤ 2.5 (Mpa)
where, Pa=the atmospheric pressure in the units being used
(e.g., 101 kPa in the SI system). b) Cohesionless soil
fmax = β x σ'v
where, σ'v = vertical effective stress at the middle of layer
β = dimensionless correction factor defined as follows: in sands
β = 1.5 - 0.245 z0.5 for N
60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
in gravelly sands or gravels
β = 2.0 - 0.15 z0.75 for N60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
where, z = vertical distance from the ground surface to the middle of layer (in meters)
Note: 1) Thickness of layer.
4) Allowable compression capacity
Qa = ( qmax x Ap ) / FSbearing + Qs / FSfriction = kN
1708.4 943.8 sum 0.0 0.0 0.0 0.0 10 0 0.0 0.00 0.0 0.00 0.0 9 0 0.0 0.00 0.0 0.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8 0 0.0 0.00 0.0 0.00 0.0 7 0 0.0 0.00 0.0 0.00 0.0 0.0 0.0 38.7 2.0 3.8 146.0 6 16 70.4 0.62 44.7 0.55 146.0 5 16 70.4 0.69 38.3 0.55 38.7 2.0 3.8 50.8 3.0 5.7 287.4 4 21 92.4 1.04 30.3 0.55 228.1 3 25 110.0 1.42 22.3 0.55 60.5 2.0 3.8 75.0 3.0 5.7 424.2 2 31 136.4 0.98 14.4 0.55 476.8 1 35 154.0 1.20 4.8 0.55 84.3 3.0 5.7
(blow) (kPa) (kPa) (m) (m2)
As Qs (kN) Layer No. N60 su β σv' (kPa) α fmax Thick.1)
2.2.3 Allowable Tension Capacity (Reese and O'Neill, 1999) 1) Base resistance for uplift loading
qmax (uplift)1) = 0
Note: 1) qmax should be taken as zero for uplift loading unless experience or load testing at
the construction site can show that suction between the bottom of the drilled shaft and the soil can be predicted reliably or the drilled shaft has a bell.
2) Side resistance for uplift loading fmax (uplift) = ψ x fmax (compression)
where, ψ = for Cohesive soil ψ = for Cohesionless soil
Cohesive 146.0 1.00 146.0 Cohesive 287.4 1.00 287.4 Cohesive 146.0 1.00 146.0 Cohesive 424.2 1.00 424.2 Cohesive 228.1 1.00 228.1 (kN) Cohesive 476.8 1.00 476.8 1.00 0.75 Soil type Qs ψ Ts (kN) sum =
3) Allowable tension capacity
Ta = ( Tp + Ts ) / FSfriction = 854.2 kN 0 0.0 0.00 0.0 1708.4 0 0.0 0.00 0.0 0 0.0 0.00 0.0 0 0.0 0.00 0.0
2.2.4 Allowable Lateral Load Capacity (Broms' Method) 1) Coefficient of horizontal subgrade reaction
a) General soil type1) :
Note: 1) Determine the general soil type within the critical depth below the grond FHWA-HI-97-013 surface (about 4 or 5 pile diameters). Chapter 9 b) Average soil parameter with the critical depth
su
=
kPa for Cohesive soilϕ
=
deg for Cohesionless soilwhere, ϕ = Internal friction angle correleted by Ozaki's equation1)
Note: 1) ϕ = ( 20 N )0.5
+ 15 c) Coefficient of horizontal subgrade reaction, Kh
Kh = n1 x n2 x 80 x qu / b = kN/m3 for Cohesive soil
where, qu = Unconfined compressive strength = kPa
154 0.0
18891
308
Cohesive
b = Width or diameter of pile = m
n1 = Empirical coefficients dependent on qu =
n1 = 0.32 for less than 48 kPa
n1 = 0.36 for 48 to 191 kPa
n1 = 0.40 for more than 191 kPa
n2 = Empirical coefficient dependent on pile material =
n2 = 1.00 for steel
n2 = 1.15 for concrete
n2 = 1.30 for wood
Kh = kN/m3 for Cohesionless soil
where, above ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
below ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
5429 10857 1.15 0.0 1900 8143 17644 1086 0.6 0.4
2) Pile parameters
a) Modulus of elasticity, E = Mpa b) Moment of inertia, I = m4
c) Section modulus, S = m3 d) Embedded pile length D = m e) Diameter or width, b = m
f) Ultimate compression strength for concrete, f'c = Mpa
g) Eccentricity of applied load for free-headed piles, ec=
h) Resisting moment of pile for concrete piles, My = fc' S kN-m
3) Dimensionless length factor a) Stiffness factor
βh = ( Kh b / 4EI )0.25 = m-1 for Cohesive soil,
0.60 25.0 0.0 530.1 0.37 25000 0.0064 0.0212 15.0
η = (Kh / EI)0.20 = m-1 for Cohesionless soil,
b) Length factor
βh D = for Cohesive soil,
η D = for Cohesionless soil,
4) Determine if the pile is long or short a) Cohesive soil:
where, βh D > 2.25 (long pile)
βh D < 2.25 (short pile)
b) Cohesionless soil:
where, η D > 4.0 (long pile) η D < 2.0 (short pile) 2.0 < η D < 4.0 (intermediate pile) → Soil type = Pile type = 5.48 0.00 long pile short pile Cohesive long pile 0.00
5) Soil parameters
cu = kPa
where, cu = cohesion for cohesive soil
6) Ultimate lateral load (Cohesive, long pile) My/cub3
=
ec/b
=
Qu/cub2
=
from the below chartQu
=
kN 154 15.9 0 14.0 776.27) Allowable lateral load capacity
Hu = kN
Ha = Hu / FSlateral = kN
776.2
2.2.5
PILE SETTLEMENT
Elastic Settlement of Pile
se(1) = (Qwp + ξ·Qws) x L / (Ap x Ep)
where, Qwp= load carried at the pile point under working load condition
Qws= load carried by frictional resistance under working load condition
Ap = area of cross section of pile
L = length of pile
Ep = modulus of elasticity of the pile material
ξ = coefficient which will depend on the nature of the distribution of the unit friction resistance along the pile shaft
conservatively, 0.5
Settlement of Pile Caused by the Load at the Pile Tip (Vesic, 1977)
Design-N 374.3 569.5 0.28 15.0 25000 ξ se(1) (m2) (m) (Mpa) (mm) Borehole Qwp Qws Ap L Ep (kN) (kN) 0.5 1.40 se(2) = (Qwp x Cp) / (D x qp)
where, qp = ultimate point resistance of the pile
Cp = an empirical coefficient
Settlement of Pile Caused by the Load Transmitted along the Pile Shaft (Vesic, 1977)
se(3) = (QwS x CS) / (L x qp)
where, Cs = an empirical constant = [ 0.93 + 0.16 (L / D)0.5] Cp
Type of soil Driven piles Bored piles Sand (dense to loose) 0.02 - 0.04 0.09 - 0.18 Clay (Stiff to Soft) 0.02 - 0.03 0.03 - 0.06 Silt (dense to loose) 0.03 - 0.05 0.09 - 0.12
Borehole D Qwp qp Cp se(2) (mm) (kN) (kN/m2) (mm) Design-N 600 374.3 1663.2 0.04 15.00 Borehole L Qws qp Cs se(3) (m) Design-N 15.0 569.5 1663.2 0.07 1.58 (kN) (kN/m2) (mm)
Total Settlement of Pile
se = se(1) + se(2) + se(3)
where, se(1)= elastic settlement of pile
se(2)= settlement of pile caused by the load at the pile tip
se(3)= settlement of pile caused by the load transmitted along the pile shaft
Note: 1) se(allowable) = mm
Eurocode 7: Geotechnical design, Annex H,
For normal structures with isolated foundations, total settlements up to 50mm are often acceptable.
se(1) se(2) se(3) se
Check1) Design-N 1.40 15.00 1.58 17.98 Borehole O.K 50.0 (mm) (mm) (mm) (mm)
2.3 BH-04
2.3.1 Subsoil Conditions
m G.W.T (m) =
~
Note: 1) "Cohesive" = clay or plastic sily, "Cohesionless" = sand, gravel or non-plastic silt 2) For cohesionless soil, we couldn't carry out unit weight tests because sampling of
-20.0 Cohesive 110 110 Cohesive 13.0 16 16 70.4 -19.0 Cohesive 13.0 25 25 9 39.6 -13.0 -15.0 -14.0 Cohesive 13.0 10 10 44 -11.0 -13.0 -12.0 Cohesive 13.0 9 9 39.6 -8.0 -11.0 -9.5 Cohesive 13.0 4 4 17.6 -6.0 -8.0 -7.0 Cohesive 13.0 9 30.8 -3.0 -6.0 -4.5 Cohesive 13.0 16 16 70.4
(blow) (blow) (kPa)
0.0 -3.0 -1.5 Cohesive 13.0 7 7 Depth of layer (m) Soil type1) γ2) N3) N604) su5) from to center (kN/m3) BH-04 Pile Length = 20.0 0.0 -18.0 -20.0 -15.0 -18.0 -16.5
cohesionless soil is very difficult. Therefore, we use typical soil properties in a natural state and conservartively select soil type.
- Type of soil = Loose angular-grained silty sand - Natural moisture content in a saturated sta = 25%
- Dry unit weight, γd = 12kN/m3
3) SPT N-value obtained from the field test Attachment-2 4) Corrected for hammer energy without overburden pressure correction
N60 = ( ER / 60 ) x N where, ER = SPT energy ratio = 60 %
5)
Cohesion of so(take minimum value from following two equations)
K · N
where K =
4 kN/m
2(Stroud, 1974)
2.3.2 Allowable Compression Capacity (Reese and O'Neill, 1999) 1) Base Resistance for Compression Loading
a) Cohesive soil
qmax = Nc* x su = kPa
where, Nc* = bearing capacity factor =
6.5 at su = 24 kPa
8.0 at su = 48 kPa
9.0 at su > 25 kPa
su = average undrained shear strength between the base of the pile and
an elevation 2B below the base b) Cohesionless soil
qmax = 57.5 N60 = kPa
where, N60 = average SPT blow count between the base of the pile and
an elevation 2B below the base for condition which approximately 60 percent of the potential energy of hammer is transferred 2) Side Resistance for Compression Loading
0.0
9 990.0
a) Cohesive soil fmax = α x su
where, α = a dimensionless correction coefficient defined as follows:
α = 0 between the ground surface and a depth of 1.5 m or to the depth of seasonal moisture change, whichever is deeper α = 0 for a distance of B (the diameter of the base) above the base α = 0.55 for su / Pa ≤ 1.5 (Mpa)
α = 0.55 - 0.1 ( su / Pa - 1.5 ) for 1.5 ≤ su / Pa ≤ 2.5 (Mpa)
where, Pa=the atmospheric pressure in the units being used
(e.g., 101 kPa in the SI system). b) Cohesionless soil
fmax = β x σ'v
where, σ'v = vertical effective stress at the middle of layer
β = dimensionless correction factor defined as follows: in sands
β = 1.5 - 0.245 z0.5 for N
60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
in gravelly sands or gravels
β = 2.0 - 0.15 z0.75 for N60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
where, z = vertical distance from the ground surface to the middle of layer (in meters)
Note: 1) Thickness of layer.
4) Allowable compression capacity
Qa = ( qmax x Ap ) / FSbearing + Qs / FSfriction = kN
1072.0 675.9 sum 0.0 0.0 0.0 0.0 3 0 0.0 0.00 0.0 0.00 0.0 3 0 0.0 0.00 0.0 0.00 0.0 0.0 0.0 60.5 2.0 3.8 228.1 3 25 110.0 0.72 60.6 0.55 219.0 3 16 70.4 0.54 52.6 0.55 38.7 3.0 5.7 24.2 2.0 3.8 91.2 3 10 44.0 0.39 44.7 0.55 82.1 3 9 39.6 0.39 38.3 0.55 21.8 2.0 3.8 9.7 3.0 5.7 54.7 3 4 17.6 0.25 30.3 0.55 82.1 3 9 39.6 0.51 22.3 0.55 21.8 2.0 3.8 38.7 3.0 5.7 219.0 2 16 70.4 1.05 14.4 0.55 95.8 1 7 30.8 0.56 4.8 0.55 16.9 3.0 5.7
(blow) (kPa) (kPa) (m) (m2)
As Qs (kN) Layer No. N60 su β σv' (kPa) α fmax Thick.1)
2.3.3 Allowable Tension Capacity (Reese and O'Neill, 1999) 1) Base resistance for uplift loading
qmax (uplift)1) = 0
Note: 1) qmax should be taken as zero for uplift loading unless experience or load testing at
the construction site can show that suction between the bottom of the drilled shaft and the soil can be predicted reliably or the drilled shaft has a bell.
2) Side resistance for uplift loading fmax (uplift) = ψ x fmax (compression)
where, ψ = for Cohesive soil ψ = for Cohesionless soil
Cohesive 91.2 1.00 91.2 Cohesive 54.7 1.00 54.7 Cohesive 82.1 1.00 82.1 Cohesive 219.0 1.00 219.0 Cohesive 82.1 1.00 82.1 (kN) Cohesive 95.8 1.00 95.8 1.00 0.75 Soil type Qs ψ Ts (kN) sum =
3) Allowable tension capacity
Ta = ( Tp + Ts ) / FSfriction = 536.0 kN 0 0.0 0.00 0.0 1072.0 Cohesive 228.1 1.00 228.1 0 0.0 0.00 0.0 Cohesive 219.0 1.00 219.0
2.3.4 Allowable Lateral Load Capacity (Broms' Method) 1) Coefficient of horizontal subgrade reaction
a) General soil type1) :
Note: 1) Determine the general soil type within the critical depth below the grond FHWA-HI-97-013 surface (about 4 or 5 pile diameters). Chapter 9 b) Average soil parameter with the critical depth
su
=
kPa for Cohesive soilϕ
=
deg for Cohesionless soilwhere, ϕ = Internal friction angle correleted by Ozaki's equation1)
Note: 1) ϕ = ( 20 N )0.5
+ 15 c) Coefficient of horizontal subgrade reaction, Kh
Kh = n1 x n2 x 80 x qu / b = kN/m3 for Cohesive soil
where, qu = Unconfined compressive strength = kPa
30.8 0.0
3400.3
61.6
Cohesive
b = Width or diameter of pile = m
n1 = Empirical coefficients dependent on qu =
n1 = 0.32 for less than 48 kPa
n1 = 0.36 for 48 to 191 kPa
n1 = 0.40 for more than 191 kPa
n2 = Empirical coefficient dependent on pile material =
n2 = 1.00 for steel
n2 = 1.15 for concrete
n2 = 1.30 for wood
Kh = kN/m3 for Cohesionless soil
where, above ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
below ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
5429 10857 1.15 0.0 1900 8143 17644 1086 0.6 0.36
2) Pile parameters
a) Modulus of elasticity, E = Mpa b) Moment of inertia, I = m4
c) Section modulus, S = m3 d) Embedded pile length D = m e) Diameter or width, b = m
f) Ultimate compression strength for concrete, f'c = Mpa
g) Eccentricity of applied load for free-headed piles, ec=
h) Resisting moment of pile for concrete piles, My = fc' S kN-m
3) Dimensionless length factor a) Stiffness factor
βh = ( Kh b / 4EI )0.25 = m-1 for Cohesive soil,
0.60 25.0 0.0 530.1 0.24 25000 0.0064 0.0212 20.0
η = (Kh / EI)0.20 = m-1 for Cohesionless soil,
b) Length factor
βh D = for Cohesive soil,
η D = for Cohesionless soil,
4) Determine if the pile is long or short a) Cohesive soil:
where, βh D > 2.25 (long pile)
βh D < 2.25 (short pile)
b) Cohesionless soil:
where, η D > 4.0 (long pile) η D < 2.0 (short pile) 2.0 < η D < 4.0 (intermediate pile) → Soil type = Pile type = 4.76 0.00 long pile short pile Cohesive long pile 0.00
5) Soil parameters
cu = kPa
where, cu = cohesion for cohesive soil
6) Ultimate lateral load (Cohesive, long pile) My/cub3
=
ec/b
=
Qu/cub2
=
from the below chartQu
=
kN 30.8 79.7 0 40.0 443.57) Allowable lateral load capacity
Hu = kN
Ha = Hu / FSlateral = kN
443.5
2.3.5
PILE SETTLEMENT
Elastic Settlement of Pile
se(1) = (Qwp + ξ·Qws) x L / (Ap x Ep)
where, Qwp= load carried at the pile point under working load condition
Qws= load carried by frictional resistance under working load condition
Ap = area of cross section of pile
L = length of pile
Ep = modulus of elasticity of the pile material
ξ = coefficient which will depend on the nature of the distribution of the unit friction resistance along the pile shaft
conservatively, 0.5
Settlement of Pile Caused by the Load at the Pile Tip (Vesic, 1977)
Design-N 318.6 357.3 0.28 20.0 25000 ξ se(1) (m2) (m) (Mpa) (mm) Borehole Qwp Qws Ap L Ep (kN) (kN) 0.5 1.41 se(2) = (Qwp x Cp) / (D x qp)
where, qp = ultimate point resistance of the pile
Cp = an empirical coefficient
Settlement of Pile Caused by the Load Transmitted along the Pile Shaft (Vesic, 1977)
se(3) = (QwS x CS) / (L x qp)
where, Cs = an empirical constant = [ 0.93 + 0.16 (L / D)0.5] Cp
Type of soil Driven piles Bored piles Sand (dense to loose) 0.02 - 0.04 0.09 - 0.18 Clay (Stiff to Soft) 0.02 - 0.03 0.03 - 0.06 Silt (dense to loose) 0.03 - 0.05 0.09 - 0.12
Borehole D Qwp qp Cp se(2) (mm) (kN) (kN/m2) (mm) Design-N 600 318.6 990.0 0.04 21.46 Borehole L Qws qp Cs se(3) (m) Design-N 20.0 357.3 990.0 0.07 1.34 (kN) (kN/m2) (mm)
Total Settlement of Pile
se = se(1) + se(2) + se(3)
where, se(1)= elastic settlement of pile
se(2)= settlement of pile caused by the load at the pile tip
se(3)= settlement of pile caused by the load transmitted along the pile shaft
Note: 1) se(allowable) = mm
Eurocode 7: Geotechnical design, Annex H,
For normal structures with isolated foundations, total settlements up to 50mm are often acceptable.
se(1) se(2) se(3) se
Check1) Design-N 1.41 21.46 1.34 24.20 Borehole O.K 50.0 (mm) (mm) (mm) (mm)
2.4
BH-05
2.4.1 Subsoil Conditions
m G.W.T (m) =
~
Note: 1) "Cohesive" = clay or plastic sily, "Cohesionless" = sand, gravel or non-plastic silt 2) For cohesionless soil, we couldn't carry out unit weight tests because sampling of
-18.0 Cohesive 66 Cohesive 13.0 15 15 66 17 74.8 -13.0 -15.0 -14.0 Cohesive 13.0 14 14 61.6 -11.0 -13.0 -12.0 Cohesive 13.0 17 30 132 -8.0 -11.0 -9.5 Cohesive 13.0 11 11 48.4 -6.0 -8.0 -7.0 Cohesive 13.0 30 132 -3.0 -6.0 -4.5 Cohesive 13.0 9 9 39.6
(blow) (blow) (kPa)
0.0 -3.0 -1.5 Cohesive 13.0 30 30 Depth of layer (m) Soil type1) γ2) N3) N604) su5) from to center (kN/m3) BH-05 Pile Length = 18.0 0.0 -15.0 -18.0 -16.5
cohesionless soil is very difficult. Therefore, we use typical soil properties in a natural state and conservartively select soil type.
- Type of soil = Loose angular-grained silty sand - Natural moisture content in a saturated sta = 25%
- Dry unit weight, γd = 12kN/m3
3) SPT N-value obtained from the field test Attachment-2 4) Corrected for hammer energy without overburden pressure correction
N60 = ( ER / 60 ) x N where, ER = SPT energy ratio = 60 %
5)
Cohesion of so(take minimum value from following two equations)
K · N
where K =
4 kN/m
2(Stroud, 1974)
2.4.2 Allowable Compression Capacity (Reese and O'Neill, 1999) 1) Base Resistance for Compression Loading
a) Cohesive soil
qmax = Nc* x su = kPa
where, Nc* = bearing capacity factor =
6.5 at su = 24 kPa
8.0 at su = 48 kPa
9.0 at su > 25 kPa
su = average undrained shear strength between the base of the pile and
an elevation 2B below the base b) Cohesionless soil
qmax = 57.5 N60 = kPa
where, N60 = average SPT blow count between the base of the pile and
an elevation 2B below the base for condition which approximately 60 percent of the potential energy of hammer is transferred 2) Side Resistance for Compression Loading
0.0
9 594.0
a) Cohesive soil fmax = α x su
where, α = a dimensionless correction coefficient defined as follows:
α = 0 between the ground surface and a depth of 1.5 m or to the depth of seasonal moisture change, whichever is deeper α = 0 for a distance of B (the diameter of the base) above the base α = 0.55 for su / Pa ≤ 1.5 (Mpa)
α = 0.55 - 0.1 ( su / Pa - 1.5 ) for 1.5 ≤ su / Pa ≤ 2.5 (Mpa)
where, Pa=the atmospheric pressure in the units being used
(e.g., 101 kPa in the SI system). b) Cohesionless soil
fmax = β x σ'v
where, σ'v = vertical effective stress at the middle of layer
β = dimensionless correction factor defined as follows: in sands
β = 1.5 - 0.245 z0.5 for N
60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
in gravelly sands or gravels
β = 2.0 - 0.15 z0.75 for N60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
where, z = vertical distance from the ground surface to the middle of layer (in meters)
Note: 1) Thickness of layer.
4) Allowable compression capacity
Qa = ( qmax x Ap ) / FSbearing + Qs / FSfriction = kN
1446.0 807.0 sum 0.0 0.0 0.0 0.0 2 0 0.0 0.00 0.0 0.00 0.0 2 0 0.0 0.00 0.0 0.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2 0 0.0 0.00 0.0 0.00 205.3 2 15 66.0 0.50 52.6 0.55 36.3 3.0 5.7 33.9 2.0 3.8 127.7 2 14 61.6 0.54 44.7 0.55 155.1 2 17 74.8 0.74 38.3 0.55 41.1 2.0 3.8 26.6 3.0 5.7 150.5 2 11 48.4 0.55 30.3 0.55 273.7 2 30 132.0 0.85 22.3 0.55 72.6 2.0 3.8 21.8 3.0 5.7 123.2 2 9 39.6 0.59 14.4 0.55 410.5 1 30 132.0 1.20 4.8 0.55 72.6 3.0 5.7
(blow) (kPa) (kPa) (m) (m2)
As Qs (kN) Layer No. N60 su β σv' (kPa) α fmax Thick.1)
2.4.3 Allowable Tension Capacity (Reese and O'Neill, 1999) 1) Base resistance for uplift loading
qmax (uplift)1) = 0
Note: 1) qmax should be taken as zero for uplift loading unless experience or load testing at
the construction site can show that suction between the bottom of the drilled shaft and the soil can be predicted reliably or the drilled shaft has a bell.
2) Side resistance for uplift loading fmax (uplift) = ψ x fmax (compression)
where, ψ = for Cohesive soil ψ = for Cohesionless soil
Cohesive 127.7 1.00 127.7 Cohesive 150.5 1.00 150.5 Cohesive 155.1 1.00 155.1 Cohesive 123.2 1.00 123.2 Cohesive 273.7 1.00 273.7 (kN) Cohesive 410.5 1.00 410.5 1.00 0.75 Soil type Qs ψ Ts (kN) sum =
3) Allowable tension capacity
Ta = ( Tp + Ts ) / FSfriction = 723.0 kN 0 0.0 0.00 0.0 1446.0 0 0.0 0.00 0.0 0 0.0 0.00 0.0 Cohesive 205.3 1.00 205.3
2.4.4 Allowable Lateral Load Capacity (Broms' Method) 1) Coefficient of horizontal subgrade reaction
a) General soil type1) :
Note: 1) Determine the general soil type within the critical depth below the grond FHWA-HI-97-013 surface (about 4 or 5 pile diameters). Chapter 9 b) Average soil parameter with the critical depth
su
=
kPa for Cohesive soilϕ
=
deg for Cohesionless soilwhere, ϕ = Internal friction angle correleted by Ozaki's equation1)
Note: 1) ϕ = ( 20 N )0.5
+ 15 c) Coefficient of horizontal subgrade reaction, Kh
Kh = n1 x n2 x 80 x qu / b = kN/m3 for Cohesive soil
where, qu = Unconfined compressive strength = kPa
132 0.0
######
264
Cohesive
b = Width or diameter of pile = m
n1 = Empirical coefficients dependent on qu =
n1 = 0.32 for less than 48 kPa
n1 = 0.36 for 48 to 191 kPa
n1 = 0.40 for more than 191 kPa
n2 = Empirical coefficient dependent on pile material =
n2 = 1.00 for steel
n2 = 1.15 for concrete
n2 = 1.30 for wood
Kh = kN/m3 for Cohesionless soil
where, above ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
below ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
5429 10857 1.15 0.0 1900 8143 17644 1086 0.6 0.4
2) Pile parameters
a) Modulus of elasticity, E = Mpa b) Moment of inertia, I = m4
c) Section modulus, S = m3 d) Embedded pile length D = m e) Diameter or width, b = m
f) Ultimate compression strength for concrete, f'c = Mpa
g) Eccentricity of applied load for free-headed piles, ec=
h) Resisting moment of pile for concrete piles, My = fc' S kN-m
3) Dimensionless length factor a) Stiffness factor
βh = ( Kh b / 4EI )0.25 = m-1 for Cohesive soil,
0.60 25.0 0.0 530.1 0.35 25000 0.0064 0.0212 18.0
η = (Kh / EI)0.20 = m-1 for Cohesionless soil,
b) Length factor
βh D = for Cohesive soil,
η D = for Cohesionless soil,
4) Determine if the pile is long or short a) Cohesive soil:
where, βh D > 2.25 (long pile)
βh D < 2.25 (short pile)
b) Cohesionless soil:
where, η D > 4.0 (long pile) η D < 2.0 (short pile) 2.0 < η D < 4.0 (intermediate pile) → Soil type = Pile type = 6.33 0.00 long pile short pile Cohesive long pile 0.00
5) Soil parameters
cu = kPa
where, cu = cohesion for cohesive soil
6) Ultimate lateral load (Cohesionless, long pile) My/cub3
=
ec/b
=
Qu/cub2
=
from the below chartQu
=
kN 132 18.6 0 17.0 807.87) Allowable lateral load capacity
Hu = kN
Ha = Hu / FSlateral = kN
807.8
2.4.5
PILE SETTLEMENT
Elastic Settlement of Pile
se(1) = (Qwp + ξ·Qws) x L / (Ap x Ep)
where, Qwp= load carried at the pile point under working load condition
Qws= load carried by frictional resistance under working load condition
Ap = area of cross section of pile
L = length of pile
Ep = modulus of elasticity of the pile material
ξ = coefficient which will depend on the nature of the distribution of the unit friction resistance along the pile shaft
conservatively, 0.5
Settlement of Pile Caused by the Load at the Pile Tip (Vesic, 1977)
18.0 25000 0.5 1.44 Design-N 325.0 482.0 0.28 ξ se(1) (Mpa) (mm) Borehole Qwp Qws Ap L Ep (kN) (kN) (m2 ) (m) se(2) = (Qwp x Cp) / (D x qp)
where, qp = ultimate point resistance of the pile
Cp = an empirical coefficient
Settlement of Pile Caused by the Load Transmitted along the Pile Shaft (Vesic, 1977)
se(3) = (QwS x CS) / (L x qp)
where, Cs = an empirical constant = [ 0.93 + 0.16 (L / D)0.5] Cp
Type of soil Driven piles Bored piles Sand (dense to loose) 0.02 - 0.04 0.09 - 0.18 Clay (Stiff to Soft) 0.02 - 0.03 0.03 - 0.06 Silt (dense to loose) 0.03 - 0.05 0.09 - 0.12
Borehole D Qwp qp Cp se(2) (mm) (kN) (kN/m2) (mm) Design-N 600 325.0 1663.2 0.04 13.03 Borehole L Qws qp Cs se(3) (m) (kN) (kN/m2) (mm) Design-N 18.0 482.0 1663.2 0.07 1.16
Total Settlement of Pile
se = se(1) + se(2) + se(3)
where, se(1)= elastic settlement of pile
se(2)= settlement of pile caused by the load at the pile tip
se(3)= settlement of pile caused by the load transmitted along the pile shaft
Note: 1) se(allowable) = mm
Eurocode 7: Geotechnical design, Annex H,
For normal structures with isolated foundations, total settlements up to 50mm are often acceptable.
Borehole se(1) se(2) se(3) se
Design-N 1.44 13.03 1.16 15.63 O.K
50.0
Check1)
2.5
BH-06
2.5.1 Subsoil Conditions
m G.W.T (m) =
~
Note: 1) "Cohesive" = clay or plastic sily, "Cohesionless" = sand, gravel or non-plastic silt 2) For cohesionless soil, we couldn't carry out unit weight tests because sampling of
-20.0 Cohesive 92.4 21 92.4 -18.0 -20.0 -19.0 Cohesive 13.0 21 -15.0 -18.0 -16.5 Cohesive 13.0 17 17 74.8 92.4 -13.0 -15.0 -14.0 Cohesive 13.0 16 16 70.4 18 79.2 -11.0 -13.0 -12.0 Cohesive 13.0 21 21 -8.0 -11.0 -9.5 Cohesive 13.0 18 -6.0 -8.0 -7.0 Cohesive 13.0 14 14 61.6 17.6 -3.0 -6.0 -4.5 Cohesive 13.0 13 13 57.2
(blow) (blow) (kPa)
0.0 -3.0 -1.5 Cohesive 13.0 4 4
Depth of layer (m)
Soil type1) γ2) N3) N604) su5)
from to center (kN/m3)
BH-06 Pile Length = 20.0 0.0
cohesionless soil is very difficult. Therefore, we use typical soil properties in a natural state and conservartively select soil type.
- Type of soil = Loose angular-grained silty sand - Natural moisture content in a saturated sta = 25%
- Dry unit weight, γd = 12kN/m3
3) SPT N-value obtained from the field test Attachment-2 4) Corrected for hammer energy without overburden pressure correction
N60 = ( ER / 60 ) x N where, ER = SPT energy ratio = 60 %
5)
Cohesion of so(take minimum value from following two equations)
K · N
where K =
4 kN/m
2(Stroud, 1974)
2.5.2 Allowable Compression Capacity (Reese and O'Neill, 1999) 1) Base Resistance for Compression Loading
a) Cohesive soil
qmax = Nc* x su = kPa
where, Nc* = bearing capacity factor =
6.5 at su = 24 kPa
8.0 at su = 48 kPa
9.0 at su > 25 kPa
su = average undrained shear strength between the base of the pile and
an elevation 2B below the base b) Cohesionless soil
qmax = 57.5 N60 = kPa
where, N60 = average SPT blow count between the base of the pile and
an elevation 2B below the base for condition which approximately 60 percent of the potential energy of hammer is transferred 2) Side Resistance for Compression Loading
0.0
9 831.6
a) Cohesive soil fmax = α x su
where, α = a dimensionless correction coefficient defined as follows:
α = 0 between the ground surface and a depth of 1.5 m or to the depth of seasonal moisture change, whichever is deeper α = 0 for a distance of B (the diameter of the base) above the base α = 0.55 for su / Pa ≤ 1.5 (Mpa)
α = 0.55 - 0.1 ( su / Pa - 1.5 ) for 1.5 ≤ su / Pa ≤ 2.5 (Mpa)
where, Pa=the atmospheric pressure in the units being used
(e.g., 101 kPa in the SI system). b) Cohesionless soil
fmax = β x σ'v
where, σ'v = vertical effective stress at the middle of layer
β = dimensionless correction factor defined as follows: in sands
β = 1.5 - 0.245 z0.5 for N
60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
in gravelly sands or gravels
β = 2.0 - 0.15 z0.75 for N60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
where, z = vertical distance from the ground surface to the middle of layer (in meters)
Note: 1) Thickness of layer.
4) Allowable compression capacity
Qa = ( qmax x Ap ) / FSbearing + Qs / FSfriction = kN
1368.5 801.8 sum 0.0 0.0 0.0 0.0 2 0 0.0 0.00 0.0 0.00 0.0 2 0 0.0 0.00 0.0 0.00 0.0 0.0 0.0 50.8 2.0 3.8 191.6 2 21 92.4 0.60 60.6 0.55 232.6 2 17 74.8 0.57 52.6 0.55 41.1 3.0 5.7 38.7 2.0 3.8 146.0 2 16 70.4 0.62 44.7 0.55 191.6 2 21 92.4 0.91 38.3 0.55 50.8 2.0 3.8 43.6 3.0 5.7 246.3 2 18 79.2 0.89 30.3 0.55 127.7 2 14 61.6 0.80 22.3 0.55 33.9 2.0 3.8 31.5 3.0 5.7 177.9 2 13 57.2 0.85 14.4 0.55 54.7 1 4 17.6 0.32 4.8 0.55 9.7 3.0 5.7
(blow) (kPa) (kPa) (m) (m2)
As Qs (kN) Layer No. N60 su β σv' (kPa) α fmax Thick.1)
2.5.3 Allowable Tension Capacity (Reese and O'Neill, 1999) 1) Base resistance for uplift loading
qmax (uplift)1) = 0
Note: 1) qmax should be taken as zero for uplift loading unless experience or load testing at
the construction site can show that suction between the bottom of the drilled shaft and the soil can be predicted reliably or the drilled shaft has a bell.
2) Side resistance for uplift loading fmax (uplift) = ψ x fmax (compression)
where, ψ = for Cohesive soil ψ = for Cohesionless soil
Cohesive 146.0 1.00 146.0 Cohesive 246.3 1.00 246.3 Cohesive 191.6 1.00 191.6 Cohesive 177.9 1.00 177.9 Cohesive 127.7 1.00 127.7 (kN) Cohesive 54.7 1.00 54.7 1.00 0.75 Soil type Qs ψ Ts (kN) sum =
3) Allowable tension capacity
Ta = ( Tp + Ts ) / FSfriction = 684.2 kN 0 0.0 0.00 0.0 1368.5 Cohesive 191.6 1.00 191.6 0 0.0 0.00 0.0 Cohesive 232.6 1.00 232.6
2.5.4 Allowable Lateral Load Capacity (Broms' Method) 1) Coefficient of horizontal subgrade reaction
a) General soil type1) :
Note: 1) Determine the general soil type within the critical depth below the grond FHWA-HI-97-013 surface (about 4 or 5 pile diameters). Chapter 9 b) Average soil parameter with the critical depth
su
=
kPa for Cohesive soilϕ
=
deg for Cohesionless soilwhere, ϕ = Internal friction angle correleted by Ozaki's equation1)
Note: 1) ϕ = ( 20 N )0.5
+ 15 c) Coefficient of horizontal subgrade reaction, Kh
Kh = n1 x n2 x 80 x qu / b = kN/m3 for Cohesive soil
where, qu = Unconfined compressive strength = kPa
17.6 0.0
1727.1
35.2
Cohesive
b = Width or diameter of pile = m
n1 = Empirical coefficients dependent on qu =
n1 = 0.32 for less than 48 kPa
n1 = 0.36 for 48 to 191 kPa
n1 = 0.40 for more than 191 kPa
n2 = Empirical coefficient dependent on pile material =
n2 = 1.00 for steel
n2 = 1.15 for concrete
n2 = 1.30 for wood
Kh = kN/m3 for Cohesionless soil
where, above ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
below ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
5429 10857 1.15 0.0 1900 8143 17644 1086 0.6 0.32
2) Pile parameters
a) Modulus of elasticity, E = Mpa b) Moment of inertia, I = m4
c) Section modulus, S = m3 d) Embedded pile length D = m e) Diameter or width, b = m
f) Ultimate compression strength for concrete, f'c = Mpa
g) Eccentricity of applied load for free-headed piles, ec=
h) Resisting moment of pile for concrete piles, My = fc' S kN-m
3) Dimensionless length factor a) Stiffness factor
βh = ( Kh b / 4EI )0.25 = m-1 for Cohesive soil,
0.60 25.0 0.0 530.1 0.20 25000 0.0064 0.0212 20.0
η = (Kh / EI)0.20 = m-1 for Cohesionless soil,
b) Length factor
βh D = for Cohesive soil,
η D = for Cohesionless soil,
4) Determine if the pile is long or short a) Cohesive soil:
where, βh D > 2.25 (long pile)
βh D < 2.25 (short pile)
b) Cohesionless soil:
where, η D > 4.0 (long pile) η D < 2.0 (short pile) 2.0 < η D < 4.0 (intermediate pile) → Soil type = Pile type = 4.02 0.00 long pile short pile Cohesive long pile 0.00
5) Soil parameters
cu = kPa
where, cu = cohesion for cohesive soil
6) Ultimate lateral load (Cohesionless, long pile) My/cub3
=
ec/b
=
Qu/cub2
=
from the below chartQu
=
kN 58.0 367.5 17.6 139.5 07) Allowable lateral load capacity
Hu = kN
Ha = Hu / FSlateral = kN
367.5
2.5.5
PILE SETTLEMENT
Elastic Settlement of Pile
se(1) = (Qwp + ξ·Qws) x L / (Ap x Ep)
where, Qwp= load carried at the pile point under working load condition
Qws= load carried by frictional resistance under working load condition
Ap = area of cross section of pile
L = length of pile
Ep = modulus of elasticity of the pile material
ξ = coefficient which will depend on the nature of the distribution of the unit friction resistance along the pile shaft
conservatively, 0.5
Settlement of Pile Caused by the Load at the Pile Tip (Vesic, 1977)
0.5 1.62 Design-N 345.6 456.2 0.28 20.0 25000 ξ se(1) (kN) (kN) (m2 ) (m) (Mpa) (mm) Borehole Qwp Qws Ap L Ep se(2) = (Qwp x Cp) / (D x qp)
where, qp = ultimate point resistance of the pile
Cp = an empirical coefficient
Settlement of Pile Caused by the Load Transmitted along the Pile Shaft (Vesic, 1977)
se(3) = (QwS x CS) / (L x qp)
where, Cs = an empirical constant = [ 0.93 + 0.16 (L / D)0.5] Cp
(kN) (kN/m2) (mm) Design-N 20.0 456.2 1663.2 0.07 1.02 Borehole L Qws qp Cs se(3) (m) Design-N 600 345.6 1663.2 0.04 13.85 (mm) (kN) (kN/m2) (mm) Borehole D Qwp qp Cp se(2)
Clay (Stiff to Soft) 0.02 - 0.03 0.03 - 0.06 Silt (dense to loose) 0.03 - 0.05 0.09 - 0.12 Type of soil Driven piles Bored piles Sand (dense to loose) 0.02 - 0.04 0.09 - 0.18
Total Settlement of Pile
se = se(1) + se(2) + se(3)
where, se(1)= elastic settlement of pile
se(2)= settlement of pile caused by the load at the pile tip
se(3)= settlement of pile caused by the load transmitted along the pile shaft
Note: 1) se(allowable) = mm
Eurocode 7: Geotechnical design, Annex H,
For normal structures with isolated foundations, total settlements up to 50mm are often acceptable.
O.K
50.0
(mm) (mm) (mm) (mm)
Design-N 1.62 13.85 1.02 16.49
2.6
BH-08
2.6.1 Subsoil Conditions
m G.W.T (m) =
~
Note: 1) "Cohesive" = clay or plastic sily, "Cohesionless" = sand, gravel or non-plastic silt 2) For cohesionless soil, we couldn't carry out unit weight tests because sampling of
-20.0 Cohesive 70.4 16 70.4 -18.0 -20.0 -19.0 Cohesive 13.0 16 -15.0 -18.0 -16.5 Cohesive 13.0 16 16 70.4 92.4 -13.0 -15.0 -14.0 Cohesive 13.0 17 17 74.8 15 66 -11.0 -13.0 -12.0 Cohesive 13.0 21 21 -8.0 -11.0 -9.5 Cohesive 13.0 15 -6.0 -8.0 -7.0 Cohesive 13.0 15 15 66 66 -3.0 -6.0 -4.5 Cohesive 13.0 12 12 52.8
(blow) (blow) (kPa)
0.0 -3.0 -1.5 Cohesive 13.0 15 15
Depth of layer (m)
Soil type1) γ2) N3) N604) su5)
from to center (kN/m3)
BH-08 Pile Length = 20.0 0.0
cohesionless soil is very difficult. Therefore, we use typical soil properties in a natural state and conservartively select soil type.
- Type of soil = Loose angular-grained silty sand - Natural moisture content in a saturated sta = 25%
- Dry unit weight, γd = 12kN/m3
3) SPT N-value obtained from the field test Attachment-2 4) Corrected for hammer energy without overburden pressure correction
N60 = ( ER / 60 ) x N where, ER = SPT energy ratio = 60 %
5)
Cohesion of so(take minimum value from following two equations)
K · N
where K =
4 kN/m
2(Stroud, 1974)
2.6.2 Allowable Compression Capacity (Reese and O'Neill, 1999) 1) Base Resistance for Compression Loading
a) Cohesive soil
qmax = Nc* x su = kPa
where, Nc* = bearing capacity factor =
6.5 at su = 24 kPa
8.0 at su = 48 kPa
9.0 at su > 25 kPa
su = average undrained shear strength between the base of the pile and
an elevation 2B below the base b) Cohesionless soil
qmax = 57.5 N60 = kPa
where, N60 = average SPT blow count between the base of the pile and
an elevation 2B below the base for condition which approximately 60 percent of the potential energy of hammer is transferred 2) Side Resistance for Compression Loading
0.0
9 633.6
a) Cohesive soil fmax = α x su
where, α = a dimensionless correction coefficient defined as follows:
α = 0 between the ground surface and a depth of 1.5 m or to the depth of seasonal moisture change, whichever is deeper α = 0 for a distance of B (the diameter of the base) above the base α = 0.55 for su / Pa ≤ 1.5 (Mpa)
α = 0.55 - 0.1 ( su / Pa - 1.5 ) for 1.5 ≤ su / Pa ≤ 2.5 (Mpa)
where, Pa=the atmospheric pressure in the units being used
(e.g., 101 kPa in the SI system). b) Cohesionless soil
fmax = β x σ'v
where, σ'v = vertical effective stress at the middle of layer
β = dimensionless correction factor defined as follows: in sands
β = 1.5 - 0.245 z0.5 for N
60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
in gravelly sands or gravels
β = 2.0 - 0.15 z0.75 for N60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
where, z = vertical distance from the ground surface to the middle of layer (in meters)
Note: 1) Thickness of layer.
4) Allowable compression capacity
Qa = ( qmax x Ap ) / FSbearing + Qs / FSfriction = kN
1423.2 801.2 sum 0.0 0.0 0.0 0.0 2 0 0.0 0.00 0.0 0.00 0.0 2 0 0.0 0.00 0.0 0.00 0.0 0.0 0.0 38.7 2.0 3.8 146.0 2 16 70.4 0.46 60.6 0.55 219.0 2 16 70.4 0.54 52.6 0.55 38.7 3.0 5.7 41.1 2.0 3.8 155.1 2 17 74.8 0.66 44.7 0.55 191.6 2 21 92.4 0.91 38.3 0.55 50.8 2.0 3.8 36.3 3.0 5.7 205.3 2 15 66.0 0.74 30.3 0.55 136.8 2 15 66.0 0.85 22.3 0.55 36.3 2.0 3.8 29.0 3.0 5.7 164.2 2 12 52.8 0.78 14.4 0.55 205.3 1 15 66.0 1.20 4.8 0.55 36.3 3.0 5.7
(blow) (kPa) (kPa) (m) (m2)
As Qs (kN) Layer No. N60 su β σv' (kPa) α fmax Thick.1)
2.6.3 Allowable Tension Capacity (Reese and O'Neill, 1999) 1) Base resistance for uplift loading
qmax (uplift)1) = 0
Note: 1) qmax should be taken as zero for uplift loading unless experience or load testing at
the construction site can show that suction between the bottom of the drilled shaft and the soil can be predicted reliably or the drilled shaft has a bell.
2) Side resistance for uplift loading fmax (uplift) = ψ x fmax (compression)
where, ψ = for Cohesive soil ψ = for Cohesionless soil
Cohesive 155.1 1.00 155.1 Cohesive 205.3 1.00 205.3 Cohesive 191.6 1.00 191.6 Cohesive 164.2 1.00 164.2 Cohesive 136.8 1.00 136.8 (kN) Cohesive 205.3 1.00 205.3 1.00 0.75 Soil type Qs ψ Ts (kN) sum =
3) Allowable tension capacity
Ta = ( Tp + Ts ) / FSfriction = 711.6 kN 0 0.0 0.00 0.0 1423.2 Cohesive 146.0 1.00 146.0 0 0.0 0.00 0.0 Cohesive 219.0 1.00 219.0
2.6.4 Allowable Lateral Load Capacity (Broms' Method) 1) Coefficient of horizontal subgrade reaction
a) General soil type1) :
Note: 1) Determine the general soil type within the critical depth below the grond FHWA-HI-97-013 surface (about 4 or 5 pile diameters). Chapter 9 b) Average soil parameter with the critical depth
su
=
kPa for Cohesive soilϕ
=
deg for Cohesionless soilwhere, ϕ = Internal friction angle correleted by Ozaki's equation1)
Note: 1) ϕ = ( 20 N )0.5
+ 15 c) Coefficient of horizontal subgrade reaction, Kh
Kh = n1 x n2 x 80 x qu / b = kN/m3 for Cohesive soil
where, qu = Unconfined compressive strength = kPa
66 0.0
7286.4
132
Cohesive
b = Width or diameter of pile = m
n1 = Empirical coefficients dependent on qu =
n1 = 0.32 for less than 48 kPa
n1 = 0.36 for 48 to 191 kPa
n1 = 0.40 for more than 191 kPa
n2 = Empirical coefficient dependent on pile material =
n2 = 1.00 for steel
n2 = 1.15 for concrete
n2 = 1.30 for wood
Kh = kN/m3 for Cohesionless soil
where, above ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
below ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
5429 10857 1.15 0.0 1900 8143 17644 1086 0.6 0.36
2) Pile parameters
a) Modulus of elasticity, E = Mpa b) Moment of inertia, I = m4
c) Section modulus, S = m3 d) Embedded pile length D = m e) Diameter or width, b = m
f) Ultimate compression strength for concrete, f'c = Mpa
g) Eccentricity of applied load for free-headed piles, ec=
h) Resisting moment of pile for concrete piles, My = fc' S kN-m
3) Dimensionless length factor a) Stiffness factor
βh = ( Kh b / 4EI )0.25 = m-1 for Cohesive soil,
0.60 25.0 0.0 530.1 0.29 25000 0.0064 0.0212 20.0
η = (Kh / EI)0.20 = m-1 for Cohesionless soil,
b) Length factor
βh D = for Cohesive soil,
η D = for Cohesionless soil,
4) Determine if the pile is long or short a) Cohesive soil:
where, βh D > 2.25 (long pile)
βh D < 2.25 (short pile)
b) Cohesionless soil:
where, η D > 4.0 (long pile) η D < 2.0 (short pile) 2.0 < η D < 4.0 (intermediate pile) → Soil type = Pile type = 5.76 0.00 long pile short pile Cohesive long pile 0.00
5) Soil parameters
cu = kPa
where, cu = cohesion for cohesive soil
6) Ultimate lateral load (Cohesionless, long pile) My/cub3
=
ec/b
=
Qu/cub2
=
from the below chartQu
=
kN 25.0 594.0 66 37.2 07) Allowable lateral load capacity
Hu = kN
Ha = Hu / FSlateral = kN
594.0
2.6.4
PILE SETTLEMENT
Elastic Settlement of Pile
se(1) = (Qwp + ξ·Qws) x L / (Ap x Ep)
where, Qwp= load carried at the pile point under working load condition
Qws= load carried by frictional resistance under working load condition
Ap = area of cross section of pile
L = length of pile
Ep = modulus of elasticity of the pile material
ξ = coefficient which will depend on the nature of the distribution of the unit friction resistance along the pile shaft
conservatively, 0.5
Settlement of Pile Caused by the Load at the Pile Tip (Vesic, 1977)
0.5 1.60 Design-N 326.8 474.4 0.28 20.0 25000 ξ se(1) (kN) (kN) (m2 ) (m) (Mpa) (mm) Borehole Qwp Qws Ap L Ep se(2) = (Qwp x Cp) / (D x qp)
where, qp = ultimate point resistance of the pile
Cp = an empirical coefficient
Settlement of Pile Caused by the Load Transmitted along the Pile Shaft (Vesic, 1977)
se(3) = (QwS x CS) / (L x qp)
where, Cs = an empirical constant = [ 0.93 + 0.16 (L / D)0.5] Cp
(kN) (kN/m2) (mm) Design-N 20.0 474.4 1663.2 0.07 1.06 Borehole L Qws qp Cs se(3) (m) Design-N 600 326.8 1663.2 0.04 13.10 (mm) (kN) (kN/m2) (mm) Borehole D Qwp qp Cp se(2)
Clay (Stiff to Soft) 0.02 - 0.03 0.03 - 0.06 Silt (dense to loose) 0.03 - 0.05 0.09 - 0.12 Type of soil Driven piles Bored piles Sand (dense to loose) 0.02 - 0.04 0.09 - 0.18
Total Settlement of Pile
se = se(1) + se(2) + se(3)
where, se(1)= elastic settlement of pile
se(2)= settlement of pile caused by the load at the pile tip
se(3)= settlement of pile caused by the load transmitted along the pile shaft
Note: 1) se(allowable) = mm
Eurocode 7: Geotechnical design, Annex H,
For normal structures with isolated foundations, total settlements up to 50mm are often acceptable.
O.K
50.0
(mm) (mm) (mm) (mm)
Design-N 1.60 13.10 1.06 15.75
2.7
BH-09
2.7.1 Subsoil Conditions
m G.W.T (m) =
~
Note: 1) "Cohesive" = clay or plastic sily, "Cohesionless" = sand, gravel or non-plastic silt 2) For cohesionless soil, we couldn't carry out unit weight tests because sampling of
-18.0 Cohesive 92.4 -15.0 -18.0 -16.5 Cohesive 13.0 21 21 92.4 74.8 -13.0 -15.0 -14.0 Cohesive 13.0 20 20 88 17 74.8 -11.0 -13.0 -12.0 Cohesive 13.0 17 17 -8.0 -11.0 -9.5 Cohesive 13.0 17 -6.0 -8.0 -7.0 Cohesive 13.0 19 19 83.6 74.8 -3.0 -6.0 -4.5 Cohesive 13.0 8 8 35.2
(blow) (blow) (kPa)
0.0 -3.0 -1.5 Cohesive 13.0 17 17
Depth of layer (m)
Soil type1) γ2) N3) N604) su5)
from to center (kN/m3)
BH-09 Pile Length = 18.0 0.0
cohesionless soil is very difficult. Therefore, we use typical soil properties in a natural state and conservartively select soil type.
- Type of soil = Loose angular-grained silty sand - Natural moisture content in a saturated sta = 25%
- Dry unit weight, γd = 12kN/m3
3) SPT N-value obtained from the field test Attachment-2 4) Corrected for hammer energy without overburden pressure correction
N60 = ( ER / 60 ) x N where, ER = SPT energy ratio = 60 %
5)
Cohesion of so(take minimum value from following two equations)
K · N
where K =
4 kN/m
2(Stroud, 1974)
2.7.2 Allowable Compression Capacity (Reese and O'Neill, 1999) 1) Base Resistance for Compression Loading
a) Cohesive soil
qmax = Nc* x su = kPa
where, Nc* = bearing capacity factor =
6.5 at su = 24 kPa
8.0 at su = 48 kPa
9.0 at su > 25 kPa
su = average undrained shear strength between the base of the pile and
an elevation 2B below the base b) Cohesionless soil
qmax = 57.5 N60 = kPa
where, N60 = average SPT blow count between the base of the pile and
an elevation 2B below the base for condition which approximately 60 percent of the potential energy of hammer is transferred 2) Side Resistance for Compression Loading
0.0
9 831.6
a) Cohesive soil fmax = α x su
where, α = a dimensionless correction coefficient defined as follows:
α = 0 between the ground surface and a depth of 1.5 m or to the depth of seasonal moisture change, whichever is deeper α = 0 for a distance of B (the diameter of the base) above the base α = 0.55 for su / Pa ≤ 1.5 (Mpa)
α = 0.55 - 0.1 ( su / Pa - 1.5 ) for 1.5 ≤ su / Pa ≤ 2.5 (Mpa)
where, Pa=the atmospheric pressure in the units being used
(e.g., 101 kPa in the SI system). b) Cohesionless soil
fmax = β x σ'v
where, σ'v = vertical effective stress at the middle of layer
β = dimensionless correction factor defined as follows: in sands
β = 1.5 - 0.245 z0.5 for N
60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
in gravelly sands or gravels
β = 2.0 - 0.15 z0.75 for N60 ≥ 15 B / 0.3 m
β = ( N60/ 15 ) x ( 1.5 - 0.245 z0.5) for N60 < 15 B / 0.3 m
where, z = vertical distance from the ground surface to the middle of layer (in meters)
Note: 1) Thickness of layer.
4) Allowable compression capacity
Qa = ( qmax x Ap ) / FSbearing + Qs / FSfriction = kN
1373.0 804.1 sum 0.0 0.0 0.0 0.0 2 0 0.0 0.00 0.0 0.00 0.0 2 0 0.0 0.00 0.0 0.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2 0 0.0 0.00 0.0 0.00 287.4 2 21 92.4 0.71 52.6 0.55 50.8 3.0 5.7 48.4 2.0 3.8 182.5 2 20 88.0 0.78 44.7 0.55 155.1 2 17 74.8 0.74 38.3 0.55 41.1 2.0 3.8 41.1 3.0 5.7 232.6 2 17 74.8 0.84 30.3 0.55 173.3 2 19 83.6 1.08 22.3 0.55 46.0 2.0 3.8 19.4 3.0 5.7 109.5 2 8 35.2 0.52 14.4 0.55 232.6 1 17 74.8 1.36 4.8 0.55 41.1 3.0 5.7
(blow) (kPa) (kPa) (m) (m2)
As Qs (kN) Layer No. N60 su β σv' (kPa) α fmax Thick.1)
2.7.3 Allowable Tension Capacity (Reese and O'Neill, 1999) 1) Base resistance for uplift loading
qmax (uplift)1) = 0
Note: 1) qmax should be taken as zero for uplift loading unless experience or load testing at
the construction site can show that suction between the bottom of the drilled shaft and the soil can be predicted reliably or the drilled shaft has a bell.
2) Side resistance for uplift loading fmax (uplift) = ψ x fmax (compression)
where, ψ = for Cohesive soil ψ = for Cohesionless soil
Cohesive 182.5 1.00 182.5 Cohesive 232.6 1.00 232.6 Cohesive 155.1 1.00 155.1 Cohesive 109.5 1.00 109.5 Cohesive 173.3 1.00 173.3 (kN) Cohesive 232.6 1.00 232.6 1.00 0.75 Soil type Qs ψ Ts (kN) sum =
3) Allowable tension capacity
Ta = ( Tp + Ts ) / FSfriction = 686.5 kN 0 0.0 0.00 0.0 1373.0 0 0.0 0.00 0.0 0 0.0 0.00 0.0 Cohesive 287.4 1.00 287.4
2.7.4 Allowable Lateral Load Capacity (Broms' Method) 1) Coefficient of horizontal subgrade reaction
a) General soil type1) :
Note: 1) Determine the general soil type within the critical depth below the grond FHWA-HI-97-013 surface (about 4 or 5 pile diameters). Chapter 9 b) Average soil parameter with the critical depth
su
=
kPa for Cohesive soilϕ
=
deg for Cohesionless soilwhere, ϕ = Internal friction angle correleted by Ozaki's equation1)
Note: 1) ϕ = ( 20 N )0.5
+ 15 c) Coefficient of horizontal subgrade reaction, Kh
Kh = n1 x n2 x 80 x qu / b = kN/m3 for Cohesive soil
where, qu = Unconfined compressive strength = kPa
74.8 0.0
8257.9
149.6
Cohesive
b = Width or diameter of pile = m
n1 = Empirical coefficients dependent on qu =
n1 = 0.32 for less than 48 kPa
n1 = 0.36 for 48 to 191 kPa
n1 = 0.40 for more than 191 kPa
n2 = Empirical coefficient dependent on pile material =
n2 = 1.00 for steel
n2 = 1.15 for concrete
n2 = 1.30 for wood
Kh = kN/m3 for Cohesionless soil
where, above ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
below ground water
Kh = kN/m3 for loose density
Kh = kN/m3 for medium density
Kh = kN/m3 for dense density
5429 10857 1.15 0.0 1900 8143 17644 1086 0.6 0.36
2) Pile parameters
a) Modulus of elasticity, E = Mpa b) Moment of inertia, I = m4
c) Section modulus, S = m3 d) Embedded pile length D = m e) Diameter or width, b = m
f) Ultimate compression strength for concrete, f'c = Mpa
g) Eccentricity of applied load for free-headed piles, ec=
h) Resisting moment of pile for concrete piles, My = fc' S kN-m
3) Dimensionless length factor a) Stiffness factor
βh = ( Kh b / 4EI )0.25 = m-1 for Cohesive soil,
0.60 25.0 0.0 530.1 0.30 25000 0.0064 0.0212 18.0
η = (Kh / EI)0.20 = m-1 for Cohesionless soil,
b) Length factor
βh D = for Cohesive soil,
η D = for Cohesionless soil,
4) Determine if the pile is long or short a) Cohesive soil:
where, βh D > 2.25 (long pile)
βh D < 2.25 (short pile)
b) Cohesionless soil:
where, η D > 4.0 (long pile) η D < 2.0 (short pile) 2.0 < η D < 4.0 (intermediate pile) → Soil type = Pile type = 5.35 0.00 long pile short pile Cohesive long pile 0.00
5) Soil parameters
cu = kPa
where, cu = cohesion for cohesive soil
6) Ultimate lateral load (Cohesionless, long pile) My/cub3
=
ec/b
=
Qu/cub2
=
from the below chartQu
=
kN 22.0 592.4 74.8 32.8 07) Allowable lateral load capacity
Hu = kN
Ha = Hu / FSlateral = kN
592.4