Soil Shear Modulus Gmax Wave Velocity Calculator
Soil dynamics & geotechnical earthquake engineering: Compute small-strain maximum shear modulus ($G_{max} = \rho V_s^2$), Hardin-Black void ratio correlations, and shear strain degradation ($G/G_{max}$).
Soil Physical & In-Situ Stress State
σ'_m = (σ'_v + 2σ'_h) / 3
Dense sand: 0.45; Soft clay: 1.2+
Operational Shear Strain
Elastic range: < 0.001%; Earthquake: 0.01%–0.5%
Dynamic Stiffness & Wave Speeds
Max Shear Modulus G_max:
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MPa (small strain < 10⁻⁵)
Shear Wave Speed V_s:
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m / s (√(G_max / ρ))
Secant G(γ):
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MPa at shear strain
Modulus Ratio:
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G / G_max (%)
Site Class (ASCE):
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Vs30 classification
Hardin Void Ratio Function $F(e)$
Void Ratio Function $(2.17 - e)^2 / (1 + e)$:
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Estimated Hysteretic Damping Ratio $D_s$:
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