Formula Used
Geotechnical resistance
- Tip Area (circular): A = π·D²/4
- Tip Area (square): A = B²
- Perimeter (circular): P = π·D
- Perimeter (square): P = 4·B
- End resistance: Qb = q · A
- Shaft resistance: Qs = f · (P · L)
Design checks
- ASD geotechnical allowable: Qallow = Qb/FSb + Qs/FSs
- LRFD geotechnical strength: ϕ·(Qb + Qs)
- Steel area (pipe): As = π/4 · (Do² − Di²)
- Steel area (square tube): As = Bo² − Bi²
- Section loss: Aeff = As · (1 − r/100)
- ASD structural allowable: Pallow = 0.60·Fy·Aeff / FSstruct
- LRFD structural strength: ϕ·(Fy·Aeff)
- Governing capacity: min(geotechnical, structural)
- Utilization: Applied / Capacity
For push piers, field verification (refusal criteria, installation logs, and load testing) often governs design acceptance. Use this calculator as a screening tool alongside project specifications.
Capacity components that govern push piers
Push piers typically fail by soil limit, steel limit, or installation refusal. This calculator compares two
controlling checks: geotechnical resistance (end bearing plus shaft friction) and structural resistance
(effective steel area times yield strength). The smaller capacity governs and sets the utilization ratio.
Geotechnical inputs and expected ranges
End bearing q and unit skin friction f should come from
project-specific exploration, correlations, or specifications. In granular soils, q
often increases with depth, while cohesive soils may be controlled by undrained shear strength. Many projects
require confirmation by installation logs or load tests, not only computed values.
Structural check and section loss allowance
The structural capacity uses an effective steel area that can be reduced for corrosion allowance or measured
section loss. For thin-wall sections, small thickness changes can significantly change area and axial capacity.
Use manufacturer properties for outside size, thickness tolerance, and yield strength, and apply conservative
reductions where durability exposure is severe.
ASD and LRFD interpretation for field decisions
Under ASD, the calculator produces allowable capacities by dividing soil components by safety factors, then
comparing to service load. Under LRFD, it applies resistance factors to combined soil resistance and to steel
strength, then compares to factored load. When site criteria specify refusal pressure, stroke count, or test
loads, align your factors with the specification’s acceptance method.
Example data and a quick interpretation
- Metric (ASD): D=114.3 mm, t=6.4 mm, L=6.0 m, q=2500 kPa, f=40 kPa, Fy=350 MPa
- Safety factors: FS(end)=2.5, FS(skin)=2.5, FS(struct)=1.67
- Applied load: 200 kN
If utilization is ≤ 1.00, the input load is acceptable for the chosen factors. If utilization is > 1.00,
reduce the applied load, increase embedment, improve soil parameters with testing, or select a stronger
section. Always confirm with installation records and project criteria.
FAQs
1) What does utilization represent?
Utilization equals applied load divided by controlling capacity. Values at or below 1.00 indicate the selected model, factors, and inputs meet the check.
2) Which load should I enter for ASD and LRFD?
For ASD, enter service load. For LRFD, enter factored load. Ensure your load definition matches the project’s combination rules and documentation.
3) Can I enter allowable soil values directly?
Yes. If your end bearing or skin friction is already allowable, set the related safety factor to 1.00 so the calculator does not reduce it again.
4) Why might soil capacity govern even with strong steel?
Soil resistance depends on tip area, perimeter, and verified parameters. Weak strata, limited depth, disturbance, or conservative friction values can reduce geotechnical capacity below steel strength.
5) Does this tool cover buckling, bending, or uplift?
No. It is an axial compression screening check. Lateral loads, eccentricity, buckling, uplift, group effects, and connection details require separate design calculations.
6) How should I choose ϕ factors or safety factors?
Use the governing code, geotechnical recommendations, and project specification. Factors depend on method, data quality, testing, and reliability targets.
7) What field data should accompany this check?
Track depth, refusal criteria, pressures/stroke counts, bracket elevations, and load-test results when required. Field verification commonly controls acceptance for push pier systems.