Pile Load Capacity Calculator: Axial Bearing & Skin Friction Simulator

simulator advanced ~12 min
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Q_u = 1,842 kN — Q_b = 621 kN tip + Q_s = 1,221 kN skin

A 15 m long, 0.4 m diameter pile in soil with φ = 32° and γ = 18 kN/m³ has an ultimate capacity of 1,842 kN (621 kN tip + 1,221 kN skin friction), giving an allowable capacity of 737 kN.

Formula

Q_u = Q_b + Q_s (ultimate pile capacity)
Q_b = A_b · N_q · σ'_v (tip resistance)
f_s = K · σ'_v · tan(δ) (unit skin friction)

Load Transfer in Piles

A pile transfers structural loads to competent soil or rock deep below the surface. As load is applied at the pile head, it progressively transfers to the surrounding soil through skin friction along the shaft and bearing pressure at the tip. The simulation visualizes this load transfer mechanism — at the top, the pile carries the full applied load; with depth, skin friction strips away load until only the remaining portion reaches the tip. This distribution determines whether a pile behaves as an end-bearing or friction pile.

Skin Friction

Shaft friction develops from the interaction between the pile surface and surrounding soil. In granular soils, unit friction f_s = Kσ'_v·tan(δ), where K is the lateral earth pressure coefficient (typically 0.7-1.5 for driven piles), σ'_v is the effective vertical stress, and δ is the pile-soil interface friction angle. Because σ'_v increases with depth, skin friction increases linearly — until a critical depth (typically 15-20D) where it plateaus due to arching effects in the soil.

Tip Resistance

Base bearing capacity follows the same principles as shallow foundation theory but at the pile tip depth: Q_b = A_b·N_q·σ'_v. The bearing capacity factor N_q for deep foundations is much larger than Terzaghi's shallow foundation values because the failure mechanism is fully contained within the soil mass. For φ = 32°, N_q can range from 20 to 80 depending on which correlation is used — Berezantsev, Meyerhof, or Vesic — reflecting uncertainty in deep bearing behavior.

Design & Testing

Static analysis provides an estimate, but pile capacity in practice is confirmed by load testing. Static load tests remain the gold standard: a pile is loaded incrementally to failure while settlement is measured. Failure is defined by criteria such as Davisson's offset method (settlement exceeding elastic compression plus a specified offset). Dynamic methods using PDA during driving offer rapid estimates by analyzing stress wave reflections, though they require correlation with static tests for reliability.

FAQ

How is pile capacity calculated?

Axial pile capacity is the sum of tip bearing resistance Q_b and skin (shaft) friction Q_s. Tip resistance equals the pile base area times the bearing capacity factor N_q times the effective vertical stress at the tip. Skin friction is the integral of unit shaft resistance f_s over the pile surface area, where f_s depends on lateral earth pressure, friction angle, and effective stress.

What is the difference between end-bearing and friction piles?

End-bearing piles transfer most of their load to a strong stratum at the tip — they are driven or bored through weak soil to reach rock or dense sand. Friction piles derive capacity primarily from skin friction along the shaft in cohesive or granular soils. Most real piles are a combination, but the dominant mechanism determines design philosophy and settlement behavior.

What is negative skin friction on piles?

Negative skin friction (downdrag) occurs when soil surrounding a pile settles relative to the pile — for example, when fill is placed over soft clay. Instead of supporting the pile, the settling soil drags it downward, adding load rather than resistance. This can reduce effective capacity significantly and must be accounted for in design by treating downdrag as an additional load.

How are pile load tests conducted?

Static load tests apply incremental loads to a pile using a reaction frame or kentledge and measure settlement. The ultimate capacity is defined by failure criteria such as Davisson's offset method. Dynamic load tests use pile driving analyzer (PDA) measurements during driving or restrike to estimate capacity from wave mechanics. Statnamic and Osterberg cell tests are alternatives for large-diameter piles.

Sources

Embed

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View source on GitHub