CLAY

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CHARACTERISTIC LOAD METHOD OF ANALYSIS FOR LATERALLY LOADED PILES 04/08/23 PROJECT NO.:LpileCLM2.0 Version 1, May 9, 2001 NAME:Duncan, J. M., Evans, Jr., L. T. and Ooi, P. S. K. (1994) "Lateral Load Analysis of Single Piles and Drilled Shafts." J. Geot Div, ASCE , (120) No. 5,1018-1033.Brettmann, T. and Duncan, J. M. (1996) "Computer Application of CLM Lateral Load Analysis to Piles and Drilled Shafts." J Geot Div ASCE (122) No. 6, 496-500Mokwa, R. L. and Duncan, J. M. (2001) "Laterally Loaded Pile Group Effects and P-Y Multipliers."

SOIL TYPE: CLAY

INPUT PARAMETERS INSTRUCTIONS AND DEFINITIONSUNITS CALCULATED PILE PARAMETERS

FORCE = kg Select either CLAY or SAND soil conditions worksheet. Icirc= 0.25 m^4 ( I for solid circle)LENGTH = m Input data in red cells only. Ri = 1.00 ( I / Icirc)

EpRi = 2100000000.00 kg/m^2SOIL PROPERTIES Su = Undrained shear strength for clay EpRi/Su = 420,000

Su = 5000.000 kg/m^2 f = Effective friction angle for sand L/D = 3g = Effective unit weight for sand

PILE PROPERTIES Do = Outside pile diameter (circular) or width (noncircular) CHARACTERISTIC LOAD AND MOMENTDo = 1.5 m Di = Inside diameter of pipe pile Pc = 5203413.7 kgDi = 0.00 m [enter zero for solid section] Mc = 70857480.0 m-kg

I = 0 m^4 I = Moment of inertia for any noncircluar sectionRcr = 1 [enter zero for circular section] CALCULATED P-MULTIPLIEREp = 2.1E+09 kg/m^2 Rcr = Ratio of cracked EI to uncracked EI Fm = N/A for Nrow=1

L = 4 m Ep = Modulus of elasticity of pile or drilled shaftL = Length of pile or drilled shaft MINIMUM REQUIRED L/D FOR CLM

PILE GROUP PROPERTIES Number of rows in pile group EpRi/Su 100,000 300,000 1,000,000 3,000,000 1 S/D = Pile spacing to diameter ratio L/D 6 10 14 18

S/D = 1 Fm = Group efficiency

LOADING CONDITION: LOAD ONLY

FREE HEAD FIXED HEADSINGLE PILE GROUP SINGLE PILE GROUP

Pt Pt/Pc Yt/D Yp Mmax Yp Mmax Pt Pt/Pc Yt/D Yp Mmax Yp Mmaxkg m m-kg m m-kg kg m m-kg m m-kg

per Pile per Pile2500.0 0.0005 0.0000 0.000 3223.4 N/A for Nrow=1 N/A for Nrow=1 40000.0 0.0077 0.0018 0.003 126742.2 N/A for Nrow=1 N/A for Nrow=120.0 0.0000 0.0000 0.000 6.4 N/A for Nrow=1 N/A for Nrow=1 20.0 0.0000 0.0000 0.000 9.5 N/A for Nrow=1 N/A for Nrow=123.0 0.0000 0.0000 0.000 7.7 N/A for Nrow=1 N/A for Nrow=1 23.0 0.0000 0.0000 0.000 11.4 N/A for Nrow=1 N/A for Nrow=18.0 0.0000 0.0000 0.000 2.0 N/A for Nrow=1 N/A for Nrow=1 8.0 0.0000 0.0000 0.000 3.0 N/A for Nrow=1 N/A for Nrow=110.0 0.0000 0.0000 0.000 2.6 N/A for Nrow=1 N/A for Nrow=1 10.0 0.0000 0.0000 0.000 4.0 N/A for Nrow=1 N/A for Nrow=112.0 0.0000 0.0000 0.000 3.3 N/A for Nrow=1 N/A for Nrow=1 12.0 0.0000 0.0000 0.000 5.0 N/A for Nrow=1 N/A for Nrow=114.0 0.0000 0.0000 0.000 4.1 N/A for Nrow=1 N/A for Nrow=1 14.0 0.0000 0.0000 0.000 6.1 N/A for Nrow=1 N/A for Nrow=116.0 0.0000 0.0000 0.000 4.8 N/A for Nrow=1 N/A for Nrow=1 16.0 0.0000 0.0000 0.000 7.2 N/A for Nrow=1 N/A for Nrow=118.0 0.0000 0.0000 0.000 5.6 N/A for Nrow=1 N/A for Nrow=1 18.0 0.0000 0.0000 0.000 8.4 N/A for Nrow=1 N/A for Nrow=120.0 0.0000 0.0000 0.000 6.4 N/A for Nrow=1 N/A for Nrow=1 20.0 0.0000 0.0000 0.000 9.5 N/A for Nrow=1 N/A for Nrow=1

P-MULTIPLIER DESIGN CURVESLOADING CONDITION: MOMENT ONLY

FREE HEAD

Mt Mt/Mc Ym/D Ymm-kg m

3900.0 0.0001 0.0000 0.00120.0 0.0000 0.0000 0.00138.0 0.0000 0.0000 0.0048.0 0.0000 0.0000 0.0060.0 0.0000 0.0000 0.0072.0 0.0000 0.0000 0.0084.0 0.0000 0.0000 0.0096.0 0.0000 0.0000 0.00108.0 0.0000 0.0000 0.00120.0 0.0000 0.0000 0.00

LOADING CONDITION: COMBINED LOAD AND MOMENT

FREE HEAD

Pt Mt Pt/Pc Yp/D Mt/Mc Ym/D Pe/Pc Me/Mc S S S S Yavg/D Yavgkg m-kg P/Pc M/Mc Yp/D Ym/D m

per Pile1000.0 2000.0 0.0002 0.0000 0.0000 0.0000 0.0002 0.0000 0.0004 0.0001 0.0000 0.0000 0.0000 0.0020.0 120.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0023.0 138.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.008.0 48.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0010.0 60.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0012.0 72.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0014.0 84.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0016.0 96.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0018.0 108.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0020.0 120.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.00

Nrow =Nrow =

1 2 3 4 5 6 7 8

Pile spacing divided by pile diameter - S/D

1.0

0.8

0.6

0.4

0.2

0.0

1

2

3

LL - leading row1 - 1st trailing row2 - 2nd trailing row3 - 3rd trailing row

4 3 2 1

Trailing rows Leadingrow

Load

p-m

ultip

lier

-f m

SAND

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CHARACTERISTIC LOAD METHOD OF ANALYSIS FOR LATERALLY LOADED PILES 04/08/23 PROJECT NO.:CLM2.0 August, 2001 NAME:Duncan, J. M., Evans, Jr., L. T. and Ooi, P. S. K. (1994) "Lateral Load Analysis of Single Piles and Drilled Shafts." J. Geot Div, ASCE , (120) No. 5,1018-1033.Brettmann, T. and Duncan, J. M. (1996) "Computer Application of CLM Lateral Load Analysis to Piles and Drilled Shafts." J Geot Div ASCE (122) No. 6, 496-500Mokwa, R. L. and Duncan, J. M. (2001) "Laterally Loaded Pile Group Effects and P-Y Multipliers."

SOIL TYPE: SAND

INPUT PARAMETERS INSTRUCTIONS AND DEFINITIONSUNITS CALCULATED PILE PARAMETERS

FORCE = kg Select either CLAY or SAND soil conditions worksheet. Icirc = 0.25 m^4 ( I for solid circle)LENGTH = m Input data in red cells only. Ri = 0.00 ( I / Icirc)

EpRi = 1594985.64 kg/m^2

SOIL PROPERTIES Su = Undrained shear strength for clay 136 4 DEGREES f = Effective friction angle for sand L/D = 2

1.70E+03 kg/m^3 g = Effective unit weight for sandKp = 1.15 Do = Outside pile diameter (circular) or width (noncircular) CHARACTERISTIC LOAD AND MOMENT

PILE PROPERTIES Di = Inside diameter of pipe pile Pc = 342499.7 kgDo = 1.5 m [enter zero for solid section] Mc = 1003283.0 m-kgDi = 0 m I = Moment of inertia for any noncircluar section

I = 1.89E-04 m^4 [enter zero for circular section] CALCULATED P-MULTIPLIERRcr = 1 Rcr = Ratio of cracked EI to uncracked EI Fm = N/A for Nrow=1Ep = 2.1E+09 kg/m^2 Ep = Modulus of elasticity of pile or drilled shaft

L = 3 m L = Length of pile or drilled shaftNumber of rows in pile group MINIMUM REQUIRED L/D FOR CLM

PILE GROUP PROPERTIES S/D = Pile spacing to diameter ratio 10,000 40,000 200,000 1 Fm = Group efficiency L/D 8 11 14

S/D = 1

LOADING CONDITION: LOAD ONLY

FREE HEAD FIXED HEADSINGLE PILE GROUP SINGLE PILE GROUP

Pt Pt/Pc Yt/D Yp Mmax Yp Mmax Pt Pt/Pc Yt/D Yp Mmax Yp Mmaxkg m m-kg m m-kg kg m m-kg m m-kg

per Pile per Pile3100.0 0.0091 0.0920 0.138 6381.8 N/A for Nrow=1 N/A for Nrow=1 2000.0 0.0058 0.0129 0.019 3306.0 N/A for Nrow=1 N/A for Nrow=120.0 0.0001 0.0000 0.000 5.9 N/A for Nrow=1 N/A for Nrow=1 20.0 0.0001 0.0000 0.000 8.3 N/A for Nrow=1 N/A for Nrow=130.0 0.0001 0.0001 0.000 10.4 N/A for Nrow=1 N/A for Nrow=1 30.0 0.0001 0.0000 0.000 14.1 N/A for Nrow=1 N/A for Nrow=140.0 0.0001 0.0001 0.000 15.5 N/A for Nrow=1 N/A for Nrow=1 40.0 0.0001 0.0000 0.000 20.4 N/A for Nrow=1 N/A for Nrow=150.0 0.0001 0.0002 0.000 21.1 N/A for Nrow=1 N/A for Nrow=1 50.0 0.0001 0.0001 0.000 27.3 N/A for Nrow=1 N/A for Nrow=160.0 0.0002 0.0002 0.000 27.2 N/A for Nrow=1 N/A for Nrow=1 60.0 0.0002 0.0001 0.000 34.6 N/A for Nrow=1 N/A for Nrow=170.0 0.0002 0.0003 0.000 33.6 N/A for Nrow=1 N/A for Nrow=1 70.0 0.0002 0.0001 0.000 42.3 N/A for Nrow=1 N/A for Nrow=180.0 0.0002 0.0004 0.001 40.4 N/A for Nrow=1 N/A for Nrow=1 80.0 0.0002 0.0001 0.000 50.3 N/A for Nrow=1 N/A for Nrow=190.0 0.0003 0.0004 0.001 47.6 N/A for Nrow=1 N/A for Nrow=1 90.0 0.0003 0.0001 0.000 58.7 N/A for Nrow=1 N/A for Nrow=1100.0 0.0003 0.0005 0.001 55.1 N/A for Nrow=1 N/A for Nrow=1 100.0 0.0003 0.0001 0.000 67.3 N/A for Nrow=1 N/A for Nrow=1

P-MULTIPLIERSLOADING CONDITION: MOMENT ONLY

FREE HEAD

Mt Mt/Mc Ym/D Ymm-kg m

3185.0 0.0032 0.0194 0.031200.0 0.0012 0.0054 0.011800.0 0.0018 0.0092 0.012400.0 0.0024 0.0134 0.023000.0 0.0030 0.0180 0.033600.0 0.0036 0.0228 0.034200.0 0.0042 0.0279 0.044800.0 0.0048 0.0332 0.055400.0 0.0054 0.0388 0.066000.0 0.0060 0.0445 0.07

LOADING CONDITION: COMBINED LOAD AND MOMENT

FREE HEAD

Pt Mt Pt/Pc Yp/D Mt/Mc Ym/D Pe/Pc Me/Mc S S S S Yavg/D Yavgkg m-kg P/Pc M/Mc Yp/D Ym/D m

per Pile10.0 600.0 0.0000 0.0000 0.0006 0.0022 0.0008 0.0000 0.0008 0.0006 0.0023 0.0023 0.0023 0.0020.0 1200.0 0.0001 0.0000 0.0012 0.0054 0.0014 0.0000 0.0015 0.0012 0.0058 0.0056 0.0057 0.0130.0 1800.0 0.0001 0.0001 0.0018 0.0092 0.0020 0.0000 0.0021 0.0018 0.0098 0.0095 0.0097 0.0140.0 2400.0 0.0001 0.0001 0.0024 0.0134 0.0026 0.0001 0.0027 0.0025 0.0144 0.0139 0.0141 0.0250.0 3000.0 0.0001 0.0002 0.0030 0.0180 0.0031 0.0001 0.0032 0.0031 0.0193 0.0186 0.0190 0.0360.0 3600.0 0.0002 0.0002 0.0036 0.0228 0.0036 0.0001 0.0038 0.0037 0.0245 0.0237 0.0241 0.0470.0 4200.0 0.0002 0.0003 0.0042 0.0279 0.0041 0.0001 0.0043 0.0043 0.0300 0.0290 0.0295 0.0480.0 4800.0 0.0002 0.0004 0.0048 0.0332 0.0046 0.0001 0.0049 0.0049 0.0358 0.0346 0.0352 0.0590.0 5400.0 0.0003 0.0004 0.0054 0.0388 0.0051 0.0002 0.0054 0.0056 0.0418 0.0404 0.0411 0.06100.0 6000.0 0.0003 0.0005 0.0060 0.0445 0.0056 0.0002 0.0059 0.0062 0.0481 0.0464 0.0472 0.07

EpRI/g′D f′Kp =f =g =

Nrow =

EpRI/g′D f′Kp =Nrow =

1 2 3 4 5 6 7 8

Pile spacing divided by pile diameter - S/D

1.0

0.8

0.6

0.4

0.2

0.0

1

2

3

LL - leading row1 - 1st trailing row2 - 2nd trailing row3 - 3rd trailing row

4 3 2 1

Trailing rows Leadingrow

Load

p-m

ulti

plie

r-

f m