Single Pile Capacity

Estimate vertical capacity Q of a single pile from end bearing qb, tip area Ab and side friction (perimeter u, length L, fs).

Inputs

Formula

Q = qb·Ab + u·L·fs
Confirm capacity by load test or code formula.
Ppile capacity
Single Pile Capacity schematic

Fundamentals

Estimate vertical capacity Q of a single pile from end bearing qb, tip area Ab and side friction (perimeter u, length L, fs).

This tool computes Single Pile Capacity from the formula: Q = qb·Ab + u·L·fs

History

Soil and structural mechanics were systematised in the 19th century, supporting modern civil design.

Engineering applications

Used for retaining, foundation and structural member design.

Glossary

End bearing qbInput parameter
Tip area AbInput parameter
Perimeter uInput parameter
Capacity QOutput result

How to use

  1. Fill in End bearing qb, Tip area Ab, Perimeter u, Embedded L, Shaft friction fs in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Capacity Q in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:Q = qb·Ab + u·L·fs

输入变量:

  • End bearing qb qb — kPa
  • Tip area Ab Ab — m²
  • Perimeter u u — m
  • Embedded L L — m
  • Shaft friction fs fs — kPa

输出结果:

  • Capacity Q Q — kN

假设/适用:Earth pressure uses Rankine/Coulomb active assumptions; passive & surcharge handled separately.

Worked Example

根据公式 Q = qb·Ab + u·L·fs,取 End bearing qb = 2,000 kPa;Tip area Ab = 0.5 m²;Perimeter u = 2.5 m;Embedded L = 10 m;Shaft friction fs = 40 kPa。

代入计算得:Capacity Q = 2,000 kN。

Key Points

  • Earth pressure uses Rankine/Coulomb active assumptions; passive & surcharge handled separately.
  • Check both strength and stability (overturning, sliding).
  • Support reactions from static equilibrium; continuous structures need force/displacement method.

Parameters

Inputs

ParameterSymbolUnitDefault
End bearing qb (kPa)qbkPa2000
Tip area Ab (m²)Ab0.5
Perimeter u (m)um2.5
Embedded L (m)Lm10
Shaft friction fs (kPa)fskPa40

Outputs

ResultSymbolUnit
Capacity QQkN

Applications

  • Simply-supported/cantilever reactions
  • Structural equilibrium analysis
  • Shear & moment distribution

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: Q = qb·Ab + u·L·fs
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Simply-supported/cantilever reactions