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SEISMIC SITE CLASS AND LIQUEFACTION POTENTIAL USING SPT

- This worksheet uses the Youd et al. (2001) method to predict liquefaction triggering in sandy soils based on SPT data.

γ.w 62.4 lbf ft 3^/ * :

M 7 :

Moment magnitude

Unit weight of water

PGA 0.2 g * :

Peak ground acceleration

p.atm 2.1 ksf * :

Atmospheric pressure

ER 75 :

Hammer energy ratio

GWT 10 ft * :

Groundwater table depth

BD 6 in * :

Borehole diameter

Enter soil layers:

SoilType 2222222222101 mat :

h 5555555555101 mat ft * :

N 10101010101010101010101 mat :

γ 120130130130130130130130130130101 mat lbf ft 3^/ * :

FC 1055202035351500101 mat :

h = layer thickness
N = Field SPT N-value
γ = total unit weight
FC = fines content (%)

Soil Type:
1 - Fine-grained (Plastic Silts and Clays)
2 - Coarse-Grained (Sands and Elastic Silts)

Mid-depth of the layers:

Cumulative depth of the layers:

z j 1 h length range j 1 ≡ z j el h j el 2 / : z j el z j 1 - el h j 1 - el h j el + 2 / (+ : if for z 21 line :

H j 1 h length range j 1 ≡ H j el h j el : H j el H j 1 - el h j el + : if for H 21 line :

H max ft 50

Correction Factors:

C.ER ER 60 / : 1.25

C.R j 1 z length range C.R j el 0.75 z j el 3 m * ≤ 0.75 z j el 3 m * > (z j el 4 m * ≤ (& 0.85 z j el 4 m * > (z j el 6 m * ≤ (& 0.95 z j el 6 m * > (z j el 10 m * ≤ (& 1.0 cases : for C.R 21 line :

C.S 1.0 :

C.B 1.0 BD 65 mm * > (BD 115 mm * ≤ (& 1.05 BD 115 mm * > (BD 155 mm * ≤ (& 1.15 BD 155 mm * > (BD 205 mm * ≤ (& 1.0 cases : 1.05

Total in-situ vertical stresses:

Hydrostatic stresses:

σ.v j 1 h length range j 1 ≡ σ.v j el γ j el z j el * : σ.v j el σ.v j 1 - el H j 1 - el z j 1 - el - (γ j 1 - el * z j el H j 1 - el - (γ j el * + (+ : if for σ.v 21 line :

u.0 j 1 h length range z j el GWT ≤ u.0 j el 0 : u.0 j el γ.w z j el GWT - (* : if for u.0 21 line :

Effective in-situ vertical stresses:

σ'.v σ.v u.0 - :

-- Summary of In-Situ Stresses --

z ft 2.5 7.5 12.5 17.5 22.5 27.5 32.5 37.5 42.5 47.5 101 mat

σ.v ksf 0.3 0.93 1.58 2.22 2.87 3.52 4.18 4.83 5.47 6.13 101 mat

u.0 ksf 00 0.16 0.47 0.78 1.09 1.4 1.72 2.03 2.34 101 mat

σ'.v ksf 0.3 0.93 1.42 1.76 2.09 2.43 2.77 3.11 3.45 3.78 101 mat

Seismic Site Class Calculations:

N.60 j 1 z length range N.60 j el C.ER N j el * : for N.60 21 line :

N.avg h i el i 1 N.60 length sum h i el N.60 i el / i 1 N.60 length sum / : 12.5

Cyclic Stress Ratio (CSR):

r.d j 1 z length range z j el 9.15 m * ≤ r.d j el 1.0 0.00765 z j el m / * - : r.d j el 1.174 0.0267 z j el m / * - : if for r.d 21 line : 0.99 0.98 0.97 0.96 0.95 0.94 0.91 0.87 0.83 0.79 101 mat

CSR j 1 z length range CSR j el 0.65 PGA g / (* σ.v j el σ'.v j el / r.d j el * (* : for CSR 21 line : 0.129 0.128 0.140 0.158 0.169 0.176 0.178 0.175 0.171 0.166 101 mat

Cyclic Resistance Ratio (CRR):

N.60 j 1 z length range N.60 j el C.ER C.B * C.S * C.R j el * N j el * : for N.60 21 line :

C.N 2.2 1.2 σ'.v p.atm / + (/ vectorize :

N.1_60 j 1 z length range N.1_60 j el C.N j el N.60 j el * : for N.1_60 21 line :

Fines Correction from SPT N-value (after Idriss & Seed):

α j 1 z length range α j el 0 FC j el 5 ≤ 5 FC j el 35 ≥ 1.76 190 FC j el (2^/ (- exp cases : for α 21 line : 0.87 0.00 0.00 3.61 3.61 5.00 5.00 2.50 0.00 0.00 101 mat

β j 1 z length range β j el 1 FC j el 5 ≤ 1.2 FC j el 35 ≥ 0.99 FC j el (1.5^1000 / (+ cases : for β 21 line : 1.02 1.00 1.00 1.08 1.08 1.20 1.20 1.05 1.00 1.00 101 mat

N.1_60cs j 1 z length range N.1_60cs j el α j el β j el N.1_60 j el * + : for N.1_60cs 21 line : 17.35 13.20 11.55 16.62 17.09 18.96 18.06 13.79 10.16 9.62 101 mat