CGCivil Geo Tools

Foundations

Axial Pile Capacity Calculator

Combine project-specific average shaft and toe resistances to estimate ultimate and allowable compression capacity for one circular pile.

Engineering schematic

Single-pile axial resistance

Static symbolic figure. Enter project values in the calculator fields below.

Circular pile section showing compression load, diameter, embedded length, upward average shaft resistance, toe resistance, and shaft and toe capacity equations.
Symbols
D, L
pile diameter and embedded length
fs,avg
project-specific average unit shaft resistance
qb
project-specific unit toe resistance
Qs, Qb
ultimate shaft and toe resistance components

Result

Allowable axial geotechnical capacity: 893.47 kN

Pile perimeter

1.885 m

Shaft surface area

33.93 m²

Toe area

0.283 m²

Ultimate shaft resistance

1526.81 kN

Ultimate toe resistance

706.86 kN

Ultimate axial capacity

2233.67 kN

Allowable axial capacity

893.47 kN

Step-by-step calculation

  1. Pile resistance areas
    As=πDL=33.93 m2,Ab=πD24=0.283 m2A_s=\pi DL=33.93\ \mathrm{m^2},\qquad A_b=\frac{\pi D^2}{4}=0.283\ \mathrm{m^2}
  2. Shaft and toe resistance
    Qs=fs,avgAs=1526.81 kN,Qb=qbAb=706.86 kNQ_s=f_{s,\mathrm{avg}}A_s=1526.81\ \mathrm{kN},\qquad Q_b=q_bA_b=706.86\ \mathrm{kN}
  3. Ultimate capacity
    Qult=Qs+Qb=2233.67 kNQ_{\mathrm{ult}}=Q_s+Q_b=2233.67\ \mathrm{kN}
  4. Allowable capacity
    Qallow=QultFS=2233.672.5=893.47 kNQ_{\mathrm{allow}}=\frac{Q_{\mathrm{ult}}}{FS}=\frac{2233.67}{2.5}=893.47\ \mathrm{kN}

What this means

The result combines the entered average shaft and toe resistances for one circular pile. Confirm settlement, structural capacity, downdrag, lateral behavior, group effects, and load-test requirements separately.

Important limitations

  • Unit shaft and toe resistances must come from a project-specific geotechnical method or recommendation; this calculator does not derive them from soil descriptions.

Assumptions

  • Single vertical circular pile
  • Uniform average unit shaft resistance over the embedded length
  • Toe resistance acts over the full gross base area
  • Compression loading without scour or downdrag

Formula Used

Qult=fs,avgπDL+qbπD24,Qallow=QultFSQ_{\mathrm{ult}}=f_{s,\mathrm{avg}}\pi DL+q_b\frac{\pi D^2}{4},\qquad Q_{\mathrm{allow}}=\frac{Q_{\mathrm{ult}}}{FS}

Step-by-Step Example

A 0.6 m diameter pile embedded 18 m with average shaft resistance 45 kPa and toe resistance 2,500 kPa has approximately 2,234 kN ultimate and 894 kN allowable capacity at FS = 2.5.

Engineering Notes

  • Derive unit shaft and toe resistances from a project-specific static method, in-situ testing correlation, load testing, or geotechnical recommendation.
  • Layered profiles should normally be summed by layer rather than represented by one unweighted average shaft resistance.
  • Check settlement or load-transfer response; geotechnical serviceability may control before the calculated allowable capacity is reached.
  • Evaluate pile structural capacity, group efficiency, block failure, downdrag, uplift, lateral response, scour, constructability, and load-test criteria separately.

FAQ

Does this calculator determine unit shaft and toe resistance?

No. Those inputs must come from an appropriate project-specific geotechnical method or recommendation.

Can I model layered soil?

Use a separate shaft area and unit resistance for each layer, sum those contributions, and then add toe resistance. This initial tool accepts one average shaft value.

Is allowable capacity the same as design capacity?

Not necessarily. The required resistance factors, safety factors, load combinations, testing, and settlement criteria depend on the governing design framework and project requirements.

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