Fellenius unified method · FHWA GEC-12

Downdrag by the neutral plane method, done properly.

Impose the ground-settlement profile, and the analysis finds the neutral plane where pile and soil settle together — dragload, maximum axial force, and the full force and settlement profiles, per Fellenius and FHWA GEC-12.

When the ground settles around a pile — new fill, soft-clay consolidation, dewatering — the upper soil drags the pile down instead of holding it up. The correct framework is the neutral plane: above it, negative skin friction adds dragload; below it, positive shaft resistance and toe bearing carry the pile. Treating dragload as a simple capacity deduction gets both the force and the settlement wrong.

PileCalc implements the Fellenius unified method as adopted by FHWA GEC-12: you impose a ground-settlement profile, and the analysis solves for the depth where pile settlement equals soil settlement. The output is the full axial-force profile (with the maximum at the neutral plane), the dragload, and the pile settlement — the quantities the geotechnical report actually needs to state.

Neutral plane located, not assumed

The equilibrium depth where pile and soil settlement match is solved from the imposed settlement profile — not picked by hand.

Force & settlement profiles

The complete axial-force distribution, peaking at the neutral plane, alongside the pile and soil settlement profiles.

Imposed ground settlement

Enter the settlement profile from your consolidation analysis — uniform, linear or point-by-point with depth.

Dragload reported separately

Dragload is a structural demand at the neutral plane, not a geotechnical capacity deduction — and it is reported that way.

Validated against published benchmarks

Every figure below is produced by the engine on the cited published problem — closed-form solutions, design-manual tables, or independent codes — and reproduced by the test suite on every release.

FHWA GEC 12 neutral-plane method with layer-specific t-z/q-z transfer

QuantityPileCalcReferenceAgreement
Neutral-plane depth — rigid pile, uniform skin, no toe, no head loadFellenius, Basics of Foundation Design — force-equilibrium closed form≈ 0.5·L0.5·L (20 ft)within 10% (t-z mobilization)
Dragload Qn = f·π·D·(L/2)Fellenius closed form (f = 1000 psf, D = 1 ft, L = 40 ft)≈ 62.8 kip62.8 kipwithin 10% (t-z mobilization)
Maximum axial force = permanent head load + dragload + effective pile self-weightFHWA GEC-12 §7.3 equilibrium identityP + Qn + WpP + Qn + Wpexact
See the full per-tool validation report

The numbers, published

PileCalc's engine is checked term-by-term against the reference codes. A representative sample of the benchmarks — every intermediate value is visible in the app so you can reproduce them yourself.

Free-head pile (EI 1.43×10⁶, D 1 m, L 24.4 m)Liang et al. (2014) exact solution / RSPile
Max moment
792.2 kN·m
792.1 kN·m (exact)
within 0.1%
Fixed-head pile (EI 1.43×10⁶, D 1 m, L 24.4 m)Liang et al. (2014) exact solution / RSPile
Head moment
−581.1 kN·m
−581.0 kN·m (exact)
within 0.1%
Cantilever pile (EI 320, D 0.1 m, L 5.25 m)Liang et al. (2014) exact solution / RSPile
Head deflection
8.75 mm
8.750 mm (exact)
within 0.1%
Cantilever pile (EI 320, D 0.1 m, L 5.25 m)Liang et al. (2014) exact solution / RSPile
Max moment
2.335 kN·m
2.334 kN·m (exact)
within 0.1%
Circular pile, API sand (D 0.5 m, L 10 m, H 100 kN)RSPile verification manual
Deflection & moment profile
RSPile 2018 problems #1/#2/#8/#15
chart-reading tolerance
within 1–3%
Steel pile, multi-layer slope stabilization (17 m)RSPile / TZPile / LPile
Lateral resistance
607 kN
582 kN
within ~4%
Read how we validate — and why against two independent codes

Downdrag / negative skin friction: common questions

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