FHWA GEC 12 / GEC 9 · USACE EM 1110-2-2906

Pile groups: efficiency, block failure and p-multipliers.

Vertical ultimate/block resistance, explicit ASD/LRFD design values and service-load sand settlement; lateral response with FHWA GEC 9 row p-multipliers.

Vertical group resistance compares summed single-pile ultimate resistance with the equivalent-block ultimate mode, then reports ASD allowable and optional LRFD factored resistance separately. Settlement is evaluated at the service load you specify.

The USACE settlement factor applies to cohesionless profiles — clay, rock and mixed profiles are rejected explicitly rather than approximated. Lateral rows use the FHWA GEC 9 Table 7-1 p-multipliers over their published spacing range.

Efficiency & block checks

Both computed on every run; the governing mechanism is reported, not assumed.

Row-by-row p-multipliers

Spacing-dependent front and side factors, with the full per-row response visible.

Service-load settlement

USACE sand-group factor at your working load, with convergence evidence reported on every run.

One tool with the rest

The same pile flows between single-pile lateral, axial and group runs — no re-entry, no separate license.

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.

p-multiplier (row-shadowing) deduction factors

QuantityPileCalcReferenceAgreement
In-line (front) p-multiplier at 3D / 6D / 8D spacingAllPile Table 8-4 / FHWA-NHI-05-0420.40 / 0.80 / 1.000.40 / 0.80 / 1.00exact
Side-by-side p-multiplier at 1D / 2D / 3D spacingAllPile Table 8-5 / FHWA-NHI-05-0420.30 / 0.60 / 1.000.30 / 0.60 / 1.00exact
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

Pile groups: common questions

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