Eurocode 7 Pile Capacity Calculator (Axial Bearing Resistance)

Compute characteristic and design axial pile resistance according to Eurocode 7 (EN 1997-1), including base and shaft resistance, partial factors and safety checks.

Pile Capacity Calculator

Pile & Design Settings

Depth below ground surface (0 = at surface).

Applied Design Loads

Enter characteristic axial loads at pile head (unfactored). The calculator will apply γF.

Start with ground surface at z = 0 m. Layers must cover the pile length.

Soil Layers Along Pile

Layer ztop [m] zbot [m] γ [kN/m³] Soil type cu [kPa] φ' [°] α / β Nq

For clays (undrained, cu-based), set φ' = 0 and Nq ≈ 9. For sands (drained), set cu = 0 and use φ'-based Nq (or leave blank to auto-estimate).

Results

Characteristic Resistance

Base resistance Rb;k: kN

Shaft resistance Rs;k: kN

Total compression Rc;k = Rb;k + Rs;k: kN

Total tension Rt;k (shaft only): kN

Design Resistance (ULS)

Rc;d (compression): kN

Rt;d (tension): kN

Design load Nd = γF·Nk: kN

Design tension Td = γF·Tk: kN

Show layer-by-layer resistance breakdown

Eurocode 7 pile capacity – basic approach

Eurocode 7 (EN 1997-1) treats the axial resistance of a pile as the sum of base resistance and shaft resistance:

Compression (characteristic):

\( R_{c;k} = R_{b;k} + R_{s;k} \)

Tension (characteristic):

\( R_{t;k} = R_{s;k} \)

The calculator implements these expressions and applies partial factors according to the selected design approach (DA1-1, DA1-2 or custom). It is intended for preliminary design and educational use; final design must follow the relevant National Annex and be checked by a qualified geotechnical engineer.

Base resistance Rb;k

For piles in drained conditions (sands and gravels), the characteristic base resistance is commonly expressed as:

\( R_{b;k} = q'_{b;k} \, A_b \)

with \( q'_{b;k} = \sigma'_{v;b;k} \, N_q \)

  • \( A_b = \pi d^2 / 4 \) is the pile base area.
  • \( \sigma'_{v;b;k} \) is the effective vertical stress at pile base level.
  • \( N_q \) is a bearing capacity factor depending on effective friction angle φ′.

For undrained clays, a simple undrained expression is often used:

\( R_{b;k} = N_c \, c_{u;b;k} \, A_b \)

with \( N_c \approx 9 \) for deep foundations.

Shaft resistance Rs;k

Shaft resistance is integrated along the pile perimeter. In practice, it is evaluated layer by layer:

\( R_{s;k} = \sum_i q_{s;i;k} \, u \, \Delta z_i \)

with \( u = \pi d \) the pile perimeter and \( \Delta z_i \) the pile length within layer i.

Typical expressions for unit shaft resistance include:

  • Clays (undrained): \( q_{s;k} = \alpha \, c_{u;k} \)
  • Sands (drained): \( q_{s;k} = \beta \, \sigma'_{v;k} \)

The coefficients α and β depend on pile type, installation method and soil state. National Annexes and design guides provide recommended values.

Partial factors and design resistance

Eurocode 7 applies partial factors to actions and resistances. For axial pile resistance in compression:

\( R_{c;d} = \dfrac{R_{b;k}}{\gamma_{R;b}} + \dfrac{R_{s;k}}{\gamma_{R;s}} \)

\( N_d = \gamma_F \, N_k \)

ULS requirement: \( N_d \le R_{c;d} \)

For tension:

\( R_{t;d} = \dfrac{R_{s;k}}{\gamma_{R;s}} \)

\( T_d = \gamma_F \, T_k \)

ULS requirement: \( T_d \le R_{t;d} \)

The calculator lets you choose between two common sets of resistance factors (DA1-1 and DA1-2) or specify custom γ-values.

How to interpret the results

  • Characteristic values (Rb;k, Rs;k, Rc;k, Rt;k) are based on your soil parameters without partial factors.
  • Design resistances (Rc;d, Rt;d) include γR;b and γR;s.
  • Utilisation ratios (Nd/Rc;d, Td/Rt;d) indicate how close the pile is to its design capacity.

Limitations and good practice

  • This tool focuses on axial capacity; lateral resistance, buckling and group effects are not covered.
  • Soil parameters should come from a properly interpreted site investigation (CPT, SPT, lab tests).
  • For critical projects, pile load tests and more advanced analyses are usually required.

FAQ

Can I model negative skin friction (downdrag)?

The calculator does not explicitly model negative skin friction. For conservative design, you can reduce the positive shaft resistance in compressible layers or treat downdrag as an additional action on the pile.

How are Nq, α and β chosen?

Default values are only placeholders. In practice, you should select Nq, α and β from your National Annex, design manuals or correlations with in-situ tests (e.g. CPT-based methods). The tool allows you to override these coefficients per layer.

Does this follow a specific National Annex?

No. The implementation is generic Eurocode 7. National Annexes may specify different partial factors, resistance models and parameter selection rules. Always adapt the inputs and factors to your jurisdiction.