General bearing capacity equation · Das / Vesić factors

Shallow footings by the general bearing capacity equation.

Shape, depth, inclination, slope and batter factors; biaxial eccentricity with full-contact checks; elastic settlement, base-friction sliding and rotation.

The footing module implements the general bearing capacity equation with the full factor set (Das/Vesić): shape, depth, load inclination, ground slope and base batter, with eccentric loads handled through effective footing dimensions.

Beyond bearing, it checks elastic settlement, base-friction sliding and rotation. The scope is explicit: passive resistance, layered consolidation settlement and loss-of-contact pressure redistribution are outside it, never silently approximated.

The full factor set

Shape, depth, inclination, slope and batter corrections applied per Das/Vesić, all visible.

Eccentricity

One-way and two-way eccentric loads via effective-dimension reduction.

Settlement & sliding

Single-layer elastic settlement, base-friction sliding and biaxial rotation checks in one run.

Groundwater explicit

Saturated soil and water unit weights are required whenever a water table is present; no hidden default.

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.

General bearing-capacity equation, Vesić factors & shape/depth corrections

QuantityPileCalcReferenceAgreement
Bearing factors Nc / Nq / Nγ at φ = 30°Vesić (1973) / Das Table 3.3 (verified φ = 0–40°)30.14 / 18.40 / 22.4030.14 / 18.40 / 22.40within 0.1%
Ultimate bearing pressure q_ult, square footing (B 2 m, Df 1.5 m, c′ 20, φ′ 25°)Das, Foundation Engineering 8e (2016), Example 3.21401 kPa1373 kPawithin 2.0%
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

Shallow footings: common questions

Go deeper

Run it on your next project

Free to start — no install, no dongle, every input explained and every result visible.

Launch the app