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Lythos MSEW

Tests

Mechanically stabilised earth (MSE) walls, driven from your browser. A reinforced soil wall — a facing, layers of steel strips, geogrids or geotextiles in a compacted fill, and the retained soil behind it — is designed and checked the way FHWA-NHI-10-024 and AASHTO LRFD 11.10 do it, and the way the MSEW program made familiar:

  1. Earth pressure — Coulomb / Rankine Ka of the retained and the reinforced fill, with a battered face and a sloping backfill.
  2. External stability — sliding on the base (through the fill, on the foundation soil, or along a geosynthetic), overturning about the toe, the eccentricity of the resultant.
  3. Bearing capacity of the foundation under the effective width B′ = L − 2e, by the factor sets of Terzaghi, Meyerhof, Brinch Hansen, Vesić and EN 1997-1, side by side — with the water table, the embedment, the load inclination and a slope in front of the toe.
  4. Internal stability, layer by layer — the maximum tension by AASHTO's Simplified Method (Kr/Ka of 1.7 → 1.2 for strips, 1 for geosynthetics), then each layer's tensile, pullout (F*, α, Le beyond the active zone), connection and sliding checks.
  5. Reinforcement — you enter the strips' width, thickness, yield strength and spacing (the section left after zinc and steel corrosion over the design life is worked out), or a geosynthetic's ultimate strength and reduction factors RFID·RFCR·RFD.
  6. Earthquake — the pseudo-static method: Am = (1.45 − A)·A, the dynamic thrust PAE and the inertia PIR externally, the inertia of the active zone shared out among the layers internally.
  7. ASD or LRFD — factors of safety, or load factors (EV, EH, ES, LS) and resistance factors φ.
  8. The length the wall needs — the shortest uniform reinforcement length that satisfies the external and pullout checks, beside FHWA's minimum (0.7·H, 2.4 m).

On top of it, a height study runs the same design rule — first layer, spacing, length as a share of the height, reinforcement type — over a range of wall heights, and shows at which heights every check holds and how long the reinforcement has to be at each.

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 Lythos Bearing, Lythos Settle, LythosFEA, Lythos Kinematic, Lythos SPWA and LythosLE, and follows the same architecture, theme and fonts. Its bearing capacity factors are Lythos Bearing's.

Screenshots

Results summary Layer by layer
Summary Layers
Section, dark theme, Turkish Bearing capacity by method
Section Bearing
Height study Checks against the reinforcement length
Heights Length

Install & run

From a clone, with nothing installed but the scientific stack:

pip install numpy matplotlib reportlab
python main.py

or install the clone itself with pip install . (Word reports need python-docx and the spreadsheet export of a height study openpyxl: 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 lythosmsew is also installed.

Command line

lythos-msew                                   # web interface (the default)
lythos-msew web --port 9000 --lang tr --no-browser
lythos-msew example -o project.msew           # a starter project file
lythos-msew run project.msew -o report.pdf    # analyse, print the results, write a report
lythos-msew heights project.msew -o heights.xlsx

run and heights read the same .msew file the interface saves, so a wall set up in the browser can be re-run unattended. The interface listens on port 8782 by default.

Inputs

  • Wall: design height H, embedment d, face batter ω, backslope β, slope in front of the toe, facing thickness.
  • Surcharges: permanent and live (traffic) uniform surcharges; a strip load (P, width, offset from the face, permanent or live).
  • Soils: the reinforced fill (γ, φ′), the retained fill (γ, φ′), the foundation soil (γ, γsat, φ′, c′ — or φ = 0 and cu), the water table below the base.
  • Reinforcement catalogue: typical market products added to the type table in one click — ribbed galvanised steel strips (HA 40×4 to 60×5 in S355, 50×4 in Grade 65), polymer strips (PET core, PE sheath, 20–100 kN per strip), uniaxial HDPE and PET geogrids (35–200 kN/m), woven PET and PP geotextiles — with FHWA's typical reduction factors and pullout parameters. Generic starting values: check them against the datasheet of the product specified.
  • Reinforcement types (a table): name, kind (steel strip, polymer strip, geogrid, geotextile); geosynthetics — Tult, RFID, RFCR, RFD, coverage Rc, interaction Ci; steel strips — width b, thickness t, yield Fy, horizontal spacing Sh, F*₀ at the top; polymer strips — Tult per strip, the reduction factors, width b, spacing Sh, Ci; all — scale correction α and connection strength ratio CR.
  • Layers (a table): height above the levelling pad z, length L, type. Or let the layout generator fill it: first layer, spacing Sv, L = ratio·H (never below a shortest length) or a fixed L, type.
  • Corrosion: design life, galvanising thickness, carbon steel loss rate.
  • Design method: ASD (FS for sliding, overturning, eccentricity, bearing, tensile, pullout, connection; 0.55·Fy for steel) or LRFD (φ for sliding, bearing, steel, geosynthetic, pullout); the minimum length beyond the active zone.
  • Bearing capacity: the factor set; embedment and load inclination on or off; the direct sliding coefficient Cds of a geosynthetic.
  • Earthquake: A, the reduction of F* under seismic loading.
  • Height study: the range and the step.

What it computes

quantity method
Ka Coulomb (AASHTO 3.11.5.3), θ = 90 + ω from a 10° batter on; δ = β behind the block, δ = 0 inside it
forces V1 = γr·H·L, the slope wedge over the block, F1 = ½·Ka·γ·h² and F2 = Ka·q·h at β, h = H + L·tan β
sliding the weakest of tan φr, tan φf + c·L and Cds·tan φr; the live load over the block left out
overturning, eccentricity moments about the toe; e ≤ L/6 (ASD), L/3 (LRFD), L/4 (seismic ASD)
bearing B′ = L − 2e, σv = ΣV/B′ against q_ult by Terzaghi, Meyerhof, Hansen, Vesić, EN 1997-1
Tmax Kr·σv·Sv, σv = γr·Z + σ2 + q + Δσv (2:1 strip load), Kr/Ka 1.7 → 1.2 over 6 m for strips
active zone Rankine 45 + φ/2 (extensible), bilinear 0.3·H1 (inextensible)
pullout Pr = F*·α·σ′v·Le·C·Rc, C = 2, no live load; F* = Ci·tan φ, or F*₀ → tan φ over 6 m
strength Tult/(RFID·RFCR·RFD)·Rc; Fy·b·Ec/Sh with Ec after zinc and steel corrosion
LRFD EV 1.00/1.35, EH 1.50, ES 0.75/1.50, LS 1.75; φ as entered
earthquake Am = (1.45 − A)·A; PAE = 0.375·Am·γ·H² (M–O with a backslope) at 0.6·H, ½PAE + PIR; Pi = Am·Wa by Le
required length bisection on a uniform L until every external and pullout check holds

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

Figures

Section to scale with the layers, the failure surface, the surcharges, the forces and the bearing pressure · horizontal stress and the tension in the layers · every internal check as a margin, layer by layer · pullout resistance against tension · external checks, static and seismic · bearing capacity by method · the checks against the reinforcement length · the seismic tension. Height study: the checks and the required length against the wall height.

Reports

Choose PDF, self-contained HTML or Word in the header and press Export report…. The report carries the inputs, the earth pressure and the forces with their arms, the external checks, the bearing capacity by every method, the tension and pullout of every layer, the earthquake, the required length, the figures, the warnings, the method notes and — if one was run — the height study, in whichever language the interface is in.

Project files (.msew)

JSON. Save writes every input, the tables included; Open… reads them back. Missing entries keep their defaults.

Modules

file content
lythosmsew/earth.py Coulomb, Rankine, Mononobe–Okabe, Am
lythosmsew/reinforcement.py Corrosion, long-term strength, Kr/Ka, F*, pullout
lythosmsew/catalog.py Typical market reinforcement: steel and polymer strips, geogrids, geotextiles
lythosmsew/factors.py, capacity.py Bearing capacity factors and the general equation (from Lythos Bearing)
lythosmsew/engine.py The wall: forces, external checks, bearing, internal checks, earthquake, required length, layout generator
lythosmsew/heights.py, height_plots.py The height study, its figures, CSV / XLSX
lythosmsew/plotting.py, plot_style.py, render.py Matplotlib figures, theme-aware, off-screen
lythosmsew/report.py, pdf.py Calculation report: one HTML assembly, exported as PDF, HTML or DOCX
lythosmsew/forms.py Input schema and readers, with the conditions under which each field applies
lythosmsew/summary.py The results as cards, tables and text, for the browser and the command line alike
lythosmsew/i18n.py Every text, English and Turkish, written side by side
lythosmsew/web/ The local HTTP server, the session, and the browser interface

Development

pip install -e ".[dev]"
pytest -q                 # earth pressure, reinforcement, the wall by hand, height study, report, web, packaging
ruff check .

The tests check the earth pressure coefficients against their closed forms, the corrosion and the strengths against hand calculations, the forces, the external checks, the bearing capacity and the tension and pullout of a layer against hand calculations, the LRFD factors, the seismic forces, the required length as a boundary, the refusals and warnings, the report in all three formats, the input schema and its round trips, and the interface itself — the session and the HTTP layer both.

Not included: global and compound stability, settlement, and drainage; check them separately.

Releasing to PyPI is described in docs/releasing.md.

License

MIT © 2026 Hasan Deniz Altuntaş

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