Active pressure coefficient
active_pressure_coefficient
Rankine active pressure coefficient
Scores if within ±3% of the reference value.
Calculates source-bound retaining wall metrics from a deterministic SSC-07 task-owned source pack. The template combines lateral pressure, wall sliding and overturning, bearing pressure, exit gradient, and uplift checks for one retaining section.
with-tool: The model is given an executable Python calculator script.
One template produces many comparable benchmark tasks while keeping the scoring contract fixed.
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The reusable contract shown on this page.
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An archetype and site context are sampled.
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Inputs may be hidden at harder tiers.
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The model responds with the declared outputs.
Inputs the model receives, and the outputs it is scored on.
12 inputs
Included directly in every task prompt.
Retained height
retained_height_m
RET-07-WALL-01 retained soil height
Soil unit weight
soil_unit_weight_kn_m3
GEO-07-RET-01 soil unit weight
Friction angle deg
friction_angle_deg
GEO-07-RET-01 drained friction angle
Surcharge
surcharge_kpa
SUR-07-RET-01 retained-side surcharge
Base width
base_width_m
RET-07-WALL-01 wall base width
Wall weight
wall_weight_kn_m
RET-07-WALL-01 service wall weight per metre
Base friction coefficient
base_friction_coefficient
GEO-07-RET-01 base sliding friction coefficient
Passive resistance
passive_resistance_kn_m
GEO-07-RET-01 credited passive resistance
Allowable bearing
allowable_bearing_kpa
GEO-07-RET-01 allowable service bearing pressure
Head difference
head_difference_m
GW-07-RET-01 retained-side head difference
Seepage path
seepage_path_m
GW-07-RET-01 seepage path length
Critical gradient
critical_gradient
GEO-07-RET-01 critical hydraulic gradient
11 outputs
active_pressure_coefficient
Rankine active pressure coefficient
Scores if within ±3% of the reference value.
active_thrust_kn_m
Total active thrust per metre of wall
Scores if within ±3% of the reference value.
sliding_fs
Sliding factor of safety
Scores if within ±3% of the reference value.
overturning_fs
Overturning factor of safety
Scores if within ±3% of the reference value.
max_bearing_pressure_kpa
Maximum service bearing pressure under wall base
Scores if within ±3% of the reference value.
bearing_margin_kpa
Allowable bearing pressure minus maximum bearing pressure
Scores if within ±3% of the reference value.
exit_gradient
Head difference divided by seepage path
Scores if within ±3% of the reference value.
exit_gradient_fs
Critical gradient divided by exit gradient
Scores if within ±3% of the reference value.
uplift_pressure_kpa
Water unit weight times head difference
Scores if within ±3% of the reference value.
uplift_margin_kpa
Average wall contact pressure minus uplift pressure
Scores if within ±3% of the reference value.
overall_pass_score
1.0 when sliding, overturning, bearing, exit-gradient, and uplift checks pass
Scores if within ±3% of the reference value.
Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.
For this template, difficulty scales through parameter and scenario ranges rather than hidden information.
The exact instruction and parameter contract used to generate this task, pinned to the published library source.
/workspace
Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.
1You are checking a task-owned synthetic SSC-07 retaining wall seepage, uplift, and foundation package for `SSC-07-LH-02`.2 3Use only the task-owned synthetic source pack values shown below for numeric grading.4 5## Source Pack6 7- Wall section: `RET-07-WALL-01`8- Geotechnical report: `GEO-07-RET-01`9- Groundwater table: `GW-07-RET-01`10- Surcharge plan: `SUR-07-RET-01`11- Retaining design memo: `MEMO-07-RET-01`12 13## Source Values14 15| Item | Value |16|---|---:|17| Retained height | {{ retained_height_m }} m |18| Soil unit weight | {{ soil_unit_weight_kn_m3 }} kN/m3 |19| Friction angle | {{ friction_angle_deg }} degrees |20| Surcharge | {{ surcharge_kpa }} kPa |21| Base width | {{ base_width_m }} m |22| Wall weight | {{ wall_weight_kn_m }} kN/m |23| Base friction coefficient | {{ base_friction_coefficient }} |24| Passive resistance | {{ passive_resistance_kn_m }} kN/m |25| Allowable bearing | {{ allowable_bearing_kpa }} kPa |26| Head difference | {{ head_difference_m }} m |27| Seepage path | {{ seepage_path_m }} m |28| Critical gradient | {{ critical_gradient }} |29 30Compute:31 32- active pressure coefficient as `tan(45 - phi/2)^2`;33- active thrust as triangular soil thrust plus surcharge thrust;34- sliding and overturning factors of safety;35- maximum bearing pressure and bearing margin;36- exit gradient and exit-gradient factor of safety;37- uplift pressure and uplift margin.38 39Write a compact source-bound retaining design memo to `/workspace/output.md`. Preserve the source IDs above. Include a source-boundary statement that this is a task-owned synthetic source pack.40 41Do not claim authority approval, accepted project evidence, executable real source-pack parsing, full standards compliance, generated benchmark readiness, or benchmark readiness.42 43Include a fenced JSON block with exactly these numeric keys:44 45```json46{47 "active_pressure_coefficient": <numeric_value>,48 "active_thrust_kn_m": <numeric_value>,49 "sliding_fs": <numeric_value>,50 "overturning_fs": <numeric_value>,51 "max_bearing_pressure_kpa": <numeric_value>,52 "bearing_margin_kpa": <numeric_value>,53 "exit_gradient": <numeric_value>,54 "exit_gradient_fs": <numeric_value>,55 "uplift_pressure_kpa": <numeric_value>,56 "uplift_margin_kpa": <numeric_value>,57 "overall_pass_score": <numeric_value>58}59```60 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.
ssc07_retaining_wall_case
Ground investigation package for one retaining wall seepage, uplift, and foundation check
retaining-wall-seepage-ssc07-retaining-wall-case-preview — hard difficulty, all inputs given.
Ground investigation package for one retaining wall seepage, uplift, and foundation check. retaining-wall-seepage. Required outputs: active_pressure_coefficient, active_thrust_kn_m, sliding_fs, overturning_fs, max_bearing_pressure_kpa, bearing_margin_kpa
Scenario context and visible inputs.
Executable tool: retaining-wall-seepage-uplift-foundation-package_calc.py
Inputs withheld at this difficulty.
Nothing. All inputs are supplied.
The scored JSON answer schema.
{
"active_pressure_coefficient": <number>,
"active_thrust_kn_m": <number>,
"sliding_fs": <number>,
"overturning_fs": <number>,
"max_bearing_pressure_kpa": <number>,
"bearing_margin_kpa": <number>,
"exit_gradient": <number>,
"exit_gradient_fs": <number>,
"uplift_pressure_kpa": <number>,
"uplift_margin_kpa": <number>,
"overall_pass_score": <number>
}