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structuralwith-tool

Retaining Foundation Groundwater Stability Package

Calculates source-bound retaining and foundation stability metrics from a deterministic SSC-14 task-owned source pack. The template combines active earth pressure, surcharge, hydrostatic pressure, overturning, sliding, bearing, uplift margin, and overall pass scoring.

with-tool: The model is given an executable Python calculator script.

Standards

Rankine earth pressure foundation bearing groundwater uplift retaining wall stability

Tags

bearing deterministic foundation groundwater retaining-wall structural uplift

How this task is generated

One template produces many comparable benchmark tasks while keeping the scoring contract fixed.

01
Template
The reusable contract shown on this page.
02
Scenario
An archetype and site context are sampled.
03
Difficulty tier
Inputs may be hidden at harder tiers.
04
Task prompt
The model responds with the declared outputs.

Parameters

Inputs the model receives, and the outputs it is scored on.

Inputs

13 inputs

Always given

Included directly in every task prompt.

13

Show 13 inputs

Retained height
retained_height_m
WALL-SSC14-004 retained wall height
4 m
Soil unit weight
soil_unit_weight_kn_m3
GEO-SSC14-004 retained soil unit weight
19 kN/m3
Soil friction angle
soil_friction_angle_deg
GEO-SSC14-004 soil friction angle for Rankine pressure
30 deg
Surcharge
surcharge_kpa
SUR-SSC14-004 backfill surcharge
12 kPa
Water height
water_height_m
GW-SSC14-004 water height against the wall
2.1 m
Wall vertical weight
wall_vertical_weight_kn_m
WALL-SSC14-004 vertical stabilizing wall weight per metre
240 kN/m
Base width
base_width_m
WALL-SSC14-004 foundation base width
3.2 m
Resisting lever arm ratio
resisting_lever_arm_ratio
WALL-SSC14-004 resisting lever arm as a fraction of base width
0.45
Base friction coefficient
base_friction_coefficient
WALL-SSC14-004 base sliding friction coefficient
0.6
Allowable bearing
allowable_bearing_kpa
GEO-SSC14-004 allowable bearing pressure
220 kPa
Uplift force
uplift_force_kn_m
GW-SSC14-004 uplift force under the foundation
38 kN/m
Minimum overturning fs
minimum_overturning_fs
MEMO-SSC14-004 minimum overturning factor of safety
2
Minimum sliding fs
minimum_sliding_fs
MEMO-SSC14-004 minimum sliding factor of safety
1.1

Scored outputs

12 outputs

Active earth force kn

active_earth_force_kn_m

Rankine active earth force per metre

Scores if within ±3% of the reference value.

Surcharge force kn

surcharge_force_kn_m

Rankine surcharge force per metre

Scores if within ±3% of the reference value.

Hydrostatic force kn

hydrostatic_force_kn_m

Hydrostatic force per metre

Scores if within ±3% of the reference value.

Total lateral force kn

total_lateral_force_kn_m

Total lateral force per metre

Scores if within ±3% of the reference value.

Overturning moment knm

overturning_moment_knm_m

Total overturning moment per metre

Scores if within ±3% of the reference value.

Resisting moment knm

resisting_moment_knm_m

Resisting moment from wall vertical weight

Scores if within ±3% of the reference value.

Overturning factor of safety

overturning_factor_of_safety

Resisting moment divided by overturning moment

Scores if within ±3% of the reference value.

Sliding factor of safety

sliding_factor_of_safety

Frictional resistance divided by lateral force

Scores if within ±3% of the reference value.

Bearing pressure

bearing_pressure_kpa

Average bearing pressure under the wall base

Scores if within ±3% of the reference value.

Bearing utilization

bearing_utilization

Bearing pressure divided by allowable bearing

Scores if within ±3% of the reference value.

Uplift margin kn

uplift_margin_kn_m

Reduced stabilizing weight minus uplift force

Scores if within ±3% of the reference value.

Overall pass score

overall_pass_score

1.0 when overturning, sliding, bearing, and uplift checks pass

Scores if within ±3% of the reference value.

Difficulty

Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.

All inputs remain visible at every tier

For this template, difficulty scales through parameter and scenario ranges rather than hidden information.

easy:: All source-pack values given for the SSC-14 retaining foundation package
medium:: All source-pack values given for the SSC-14 retaining foundation package
hard:: All source-pack values given for the SSC-14 retaining foundation package

Task bundle

The exact instruction and parameter contract used to generate this task, pinned to the published library source.

/workspace

instruction.md
retaining-foundation-groundwater-stability-package_calc.py

Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.

1You are a structural engineer checking a task-owned synthetic SSC-14 retaining/foundation groundwater and structural stability package.2 3Use only the task-owned synthetic source pack values below for numeric grading. Ground reports, retaining wall calculations, groundwater tables, and foundation checks shape the workflow context only; they are not extra data sources for this instance.4 5## Scene6 7- Product: `SSC-14-LH-04`8- Ground report: `GEO-SSC14-004`9- Wall section: `WALL-SSC14-004`10- Groundwater table: `GW-SSC14-004`11- Surcharge plan: `SUR-SSC14-004`12- Retaining interface memo: `MEMO-SSC14-004`13 14## Source Values15 16- Retained height, soil unit weight, and friction angle: {{ retained_height_m }} m, {{ soil_unit_weight_kn_m3 }} kN/m3, {{ soil_friction_angle_deg }} deg17- Surcharge and water height: {{ surcharge_kpa }} kPa and {{ water_height_m }} m18- Wall vertical weight, base width, and resisting lever arm ratio: {{ wall_vertical_weight_kn_m }} kN/m, {{ base_width_m }} m, {{ resisting_lever_arm_ratio }}19- Base friction coefficient and allowable bearing: {{ base_friction_coefficient }} and {{ allowable_bearing_kpa }} kPa20- Uplift force: {{ uplift_force_kn_m }} kN/m21- Minimum overturning and sliding factors of safety: {{ minimum_overturning_fs }} and {{ minimum_sliding_fs }}22 23## Required Calculations24 25- Rankine active coefficient is `tan(45 - phi / 2)^2`.26- Active earth force is `0.5 x Ka x gamma x H^2`.27- Surcharge force is `Ka x surcharge x H`.28- Hydrostatic force is `0.5 x 9.81 x water_height^2`.29- Overturning moment uses force resultants at `H/3`, `H/2`, and `water_height/3`.30- Resisting moment is wall vertical weight times base width times the resisting lever arm ratio.31- Sliding factor of safety is friction times net vertical weight divided by total lateral force.32- Bearing pressure is wall vertical weight divided by base width.33- Uplift margin is `0.9 x wall_vertical_weight - uplift_force`.34- Overall pass score is `1.0` only when overturning, sliding, bearing, and uplift checks pass.35 36Write a compact retaining interface memo to `/workspace/output.md`. Include a source-boundary statement that this is a task-owned synthetic source pack. Preserve the source IDs above and state whether the baseline source pack passes the current synthetic checks.37 38Do not claim authority approval, accepted project evidence, software export validity, full standards compliance, executable real source-pack parsing, generated benchmark readiness, or benchmark readiness.39 40Include a fenced JSON block with exactly these numeric keys:41 42```json43{44  "active_earth_force_kn_m": <numeric_value>,45  "surcharge_force_kn_m": <numeric_value>,46  "hydrostatic_force_kn_m": <numeric_value>,47  "total_lateral_force_kn_m": <numeric_value>,48  "overturning_moment_knm_m": <numeric_value>,49  "resisting_moment_knm_m": <numeric_value>,50  "overturning_factor_of_safety": <numeric_value>,51  "sliding_factor_of_safety": <numeric_value>,52  "bearing_pressure_kpa": <numeric_value>,53  "bearing_utilization": <numeric_value>,54  "uplift_margin_kn_m": <numeric_value>,55  "overall_pass_score": <numeric_value>56}57```58

Scenario archetypes

Each generated task is drawn from one of these realistic scenario bands.

Site contexts ground each scenario in a real locale the model can use to infer hidden values.

Ssc14 retaining groundwater case

ssc14_retaining_groundwater_case

Retaining wall, groundwater, surcharge, and foundation source pack

retaining-wallgroundwater-interfacefoundation-bearing

Parameter ranges

retained_height_m: 4
soil_unit_weight_kn_m3: 19
soil_friction_angle_deg: 30
surcharge_kpa: 12
water_height_m: 2.1
wall_vertical_weight_kn_m: 240
base_width_m: 3.2
resisting_lever_arm_ratio: 0.45
base_friction_coefficient: 0.6
allowable_bearing_kpa: 220
uplift_force_kn_m: 38
minimum_overturning_fs: 2
minimum_sliding_fs: 1.1

Example task

retaining-wall-ssc14-retaining-groundwater-case-preview — hard difficulty, all inputs given.

Retaining wall, groundwater, surcharge, and foundation source pack. retaining-wall. Required outputs: active_earth_force_kn_m, surcharge_force_kn_m, hydrostatic_force_kn_m, total_lateral_force_kn_m, overturning_moment_knm_m, resisting_moment_knm_m

The model sees

Scenario context and visible inputs.

retained_height_m: 4 to 4 m
soil_unit_weight_kn_m3: 19 to 19 kN/m3
soil_friction_angle_deg: 30 to 30 deg
surcharge_kpa: 12 to 12 kPa
water_height_m: 2.1 to 2.1 m
wall_vertical_weight_kn_m: 240 to 240 kN/m
base_width_m: 3.2 to 3.2 m
resisting_lever_arm_ratio: 0.45 to 0.45
base_friction_coefficient: 0.6 to 0.6
allowable_bearing_kpa: 220 to 220 kPa
uplift_force_kn_m: 38 to 38 kN/m
minimum_overturning_fs: 2 to 2
minimum_sliding_fs: 1.1 to 1.1

Executable tool: retaining-foundation-groundwater-stability-package_calc.py

The model must infer

Inputs withheld at this difficulty.

Nothing. All inputs are supplied.

The model must produce

The scored JSON answer schema.

{
  "active_earth_force_kn_m": <number>,
  "surcharge_force_kn_m": <number>,
  "hydrostatic_force_kn_m": <number>,
  "total_lateral_force_kn_m": <number>,
  "overturning_moment_knm_m": <number>,
  "resisting_moment_knm_m": <number>,
  "overturning_factor_of_safety": <number>,
  "sliding_factor_of_safety": <number>,
  "bearing_pressure_kpa": <number>,
  "bearing_utilization": <number>,
  "uplift_margin_kn_m": <number>,
  "overall_pass_score": <number>
}

active_earth_force_kn_m · scored within ±3%
surcharge_force_kn_m · scored within ±3%
hydrostatic_force_kn_m · scored within ±3%
total_lateral_force_kn_m · scored within ±3%
overturning_moment_knm_m · scored within ±3%
resisting_moment_knm_m · scored within ±3%
overturning_factor_of_safety · scored within ±3%
sliding_factor_of_safety · scored within ±3%
bearing_pressure_kpa · scored within ±3%
bearing_utilization · scored within ±3%
uplift_margin_kn_m · scored within ±3%
overall_pass_score · scored within ±3%