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Lythos Pile

Tests

Axial capacity, group action and settlement of piles in layered ground, and the length of a rock socket, driven from your browser. A circular or square pile — bored, or driven with a small or a large displacement — alone or in a rectangular group under a cap, is checked by every method an engineer is likely to be asked for, side by side:

  1. Shaft friction in clay by the α methods of API RP 2A, Kulhawy & Phoon and Sladen, the β method (Burland) and the λ method (Vijayvergiya & Focht); in sand by K·σ′v·tan δ, with Meyerhof's critical depth; and Meyerhof's SPT rule.
  2. Base resistance by Meyerhof, Vesić (rigidity index) and Janbu; 9·cu, Vesić's and Janbu's Nc* in clay; Meyerhof's SPT rule.
  3. The pile's weight — buoyant below the water table — taken off the ultimate capacity: Qult,net = Qs + Qb − W, Qall = Qult,net / FS. All stresses are effective.
  4. Group action — the efficiency of Converse–Labarre, Los Angeles Group, Seiler–Keeney and Feld, and block failure; the group capacity is the smaller.
  5. Required length — the shortest pile that passes both the single-pile and the group check, with the capacity drawn against the length.
  6. Settlement — a single pile by Vesić; the group by the equivalent raft at 2/3·L (clays consolidate with Cc, Cr, e0 and OCR, the rest compress elastically), by Vesić's √(Bg/D) rule and by Meyerhof's SPT rule.
  7. Rock-socketed piles, on their own — the unit side shear of twelve published correlations (Rosenberg & Journeaux, Horvath & Kenney, Meigh & Wolski, Williams et al., Reynolds & Kaderabek, Gupton & Logan, Rowe & Armitage, Carter & Kulhawy, Toh et al., Zhang & Einstein, O'Neill & Reese / AASHTO, Kulhawy et al.), the base resistance of six more, the socket length each of them needs, a design length from their mean, median, bounds or any one of them, and the elastic settlement of the socket by Randolph & Wroth (with and without the base) and by Vesić.

On top of it, a parametric or reliability study sweeps any input — a range, or a distribution — and reports sensitivities and the probability that the pile, the group or the settlement fails, with a confidence interval and the reliability index β.

The whole program — every label, result text, figure and report — is bilingual in English and Turkish, switchable while it runs.

The interface is a small HTTP server on your own machine, driven from a browser. That keeps the program usable over a remote session or inside a container, where a desktop toolkit would need a display it does not have, and it costs no dependency beyond the standard library.

This is the sibling of LythosFEA, Lythos Bearing, Lythos Settle, Lythos MSEW, Lythos Kinematic, Lythos SPWA and LythosLE, and follows the same architecture, theme and fonts.

Screenshots

Pile group, summary Rock socket, summary
Pile summary Socket summary
Stresses and shaft friction, dark theme, Turkish Capacity against length
Profile Length
Group plan and efficiency Socket length by correlation
Group Socket

Install & run

pip install numpy matplotlib reportlab
python main.py                     # opens the interface in your browser

or install the clone itself with pip install . and run lythos-pile. Word reports need python-docx and the spreadsheet export of a study needs openpyxl; both are extras: pip install ".[docx,xlsx]". Python 3.10+ is required. main.py puts its own directory first on the import path, so the clone's code is what runs even when lythospile is also installed.

Command line

lythos-pile                                   # web interface (the default)
lythos-pile web --port 9000 --lang tr --no-browser
lythos-pile example -o project.pile           # a starter project file
lythos-pile run project.pile -o report.pdf    # the pile and its group, and a report
lythos-pile run project.pile --socket -o report.pdf   # … with the rock socket as well
lythos-pile socket project.pile -o socket.pdf # the rock socket alone
lythos-pile study project.pile -o samples.csv

run, socket and study read the same .pile file the interface saves, so a case set up in the browser can be re-run unattended. The interface listens on port 8783 by default.

Inputs

  • Pile: circular or square, D, L, depth of the pile head (underside of the cap), installation (bored / CFA, driven with a small or a large displacement), γp, Ep.
  • Load: the vertical load on the group at the underside of the cap.
  • Group: piles along B and L, spacings, the efficiency method, block failure on / off (1 × 1 is a single pile).
  • Groundwater: depth of the water table, γw.
  • Soil profile, from the surface down, one row per layer: thickness, granular or cohesive, γ, γsat, φ′, cu, OCR, N60, E, ν, Cc, Cr, e0.
  • Methods: the clay method, the base method, K/K0 and δ/φ′ in sand, the critical depth, Janbu's η′, Sladen's C, the SPT rule; the pile weight subtracted and buoyant or not.
  • Settlement: the group method for the check, the depth of the equivalent raft, the load spread, the distribution of the shaft friction.
  • Criteria: factor of safety, allowable settlement, the length search.
  • Rock socket: socket diameter and length, pile head and rock surface depths, the load; qu, the rock mass modulus (from RQD, from GSI, or entered), GSI, mi, D, ν, the modulus below the base, joint spacing and aperture; f′c, Ec, the unit weight of the concrete; the design statistic, the design base resistance, the two factors of safety, the minimum length and the weak rock limit.

What it computes

quantity method
stresses σv0, u0 (hydrostatic below the water table), σ′v0, layer by layer
shaft friction, clay α: API RP 2A 0.5ψ^-0.5 / 0.5ψ^-0.25; Kulhawy & Phoon 0.21 + 0.26·pa/cu; Sladen C·(σ′v/cu)^0.45 · β: (1 − sin φ′)·tan φ′·√OCR · λ: λ·(σ′v + 2cu)
shaft friction, sand K·σ′v·tan δ, K = (K/K0)·(1 − sin φ′); σ′v constant below zc = 15·D (on request)
base, sand Meyerhof σ′v·Nq* ≤ 0.5·pa·Nq*·tan φ′; Vesić σ′v·Nq*(Irr); Janbu σ′v·Nq*(η′)
base, clay 9·cu; Vesić 4/3·(ln Ir + 1) + π/2 + 1; Janbu 2 + 2η′
SPT Meyerhof: fs = 0.01–0.02·pa·N60, qb = 0.4·pa·N60·Lb/D ≤ 4·pa·N60
weight W = γp·Ab·L, γp − γw below the water table; Qult,net = Qs + Qb − W
group Converse–Labarre, Los Angeles, Seiler–Keeney, Feld; block failure (Skempton's Nc in clay)
required length the shortest pile that passes the single-pile and the group check
settlement, pile Vesić: s1 + s2 + s3
settlement, group equivalent raft at 2/3·L, 2 : 1, consolidation / elastic; Vesić s·√(Bg/D); Meyerhof SPT
rock socket, side twelve correlations; qu ≤ f′c; the weak rock rules left out above a limit
rock socket, base Coates, Rowe & Armitage, Carter & Kulhawy (Hoek–Brown), Zhang & Einstein, AASHTO, CFEM
socket length Qs/FSside + Qb/FSbase − W = Q, by bisection, per correlation and for the design
socket settlement Randolph & Wroth with and without the base; Vesić; plus the overburden's shortening

The expressions, their sources and their limits are in docs/theory.md.

Figures

Section through the group with the critical depth and the equivalent raft · σ′v, u0, the unit shaft friction of every method and the load down the shaft · shaft and base resistance by method · capacity against length with the required length · plan of the group and the efficiency of every method · the stresses under the raft and the settlement by method. Rock socket: section · side shear by correlation · socket length by correlation · head settlement against socket length. Study figures: one-at-a-time sweep, histogram, scatter, tornado.

Reports

Choose PDF, self-contained HTML or Word in the header and press Export report…. The report carries whatever has been analysed — the pile and its group, the rock socket, the study — with the inputs, every method's result, the checks, the required length, the figures, the warnings and the method notes, in whichever language the interface is in. All three formats are assembled from one place, so they say the same thing.

Project files (.pile)

JSON. Save writes the inputs, the rock socket and the study definition; Open… reads them back. Missing entries keep their defaults.

Modules

file content
lythospile/profile.py The layered column and its stresses, slices and averages
lythospile/axial.py Unit shaft friction and base resistance, per method
lythospile/group.py Group layout, efficiencies, Skempton's Nc of the block
lythospile/settlement.py Vesić's single-pile settlement, the equivalent raft, the group rules
lythospile/socket.py Rock sockets: correlations, base, length, Randolph & Wroth
lythospile/engine.py The pile analysis: shaft, base, weight, group, settlement, length
lythospile/study.py, study_plots.py Parametric and reliability studies, P of failure with 95 % CI and β, Spearman sensitivities, CSV / XLSX
lythospile/plotting.py, plot_style.py, render.py Matplotlib figures, theme-aware, off-screen
lythospile/report.py, pdf.py Calculation report: one HTML assembly, exported as PDF, HTML or DOCX
lythospile/forms.py Input schema and readers, with the conditions under which each field applies
lythospile/summary.py The results as cards and as text, for the browser and the command line alike
lythospile/i18n.py Every text, English and Turkish, written side by side
lythospile/web/ The local HTTP server, the session, and the browser interface

Development

pip install -e ".[dev]"
pytest -q                 # formulas by hand, engine, socket, group, settlement, study, report, web, packaging
ruff check .

The tests check every formula against a hand calculation (the α, β and λ methods, Meyerhof's table and limit, Vesić's and Janbu's factors, the four efficiencies, Feld's count, Vesić's settlement term by term, the consolidation of a clay, the equivalent raft, each of the twelve socket correlations and the six base methods, Randolph & Wroth's rigid limits), the engine on simple cases worked by hand (a clay pile, a sand pile, the weight, the water table, a block failure, the required length), the refusals, the report in all three formats, the input schema and its round trips, and the interface itself — the session and the HTTP layer both, so the browser is exercised without a browser.

Releasing to PyPI is described in docs/releasing.md; tools/upload_to_pypi.py does it from an editor, without a terminal.

License

MIT © 2026 Hasan Deniz Altuntaş

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