108 lines
3.3 KiB
JSON
108 lines
3.3 KiB
JSON
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{
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"tool": "winter-load-simulator",
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"version": "1.0.0",
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"author": "anthony-figueroa",
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"location": "Minneapolis, MN (Q36091)",
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"description": "Monte Carlo stochastic simulator for flat-roof snow load calculation per ASCE/SEI 7-16 §7.3.1",
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"core_formula": {
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"equation": "p_s = 0.7 × C_e × C_t × C_s × I_s × p_g",
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"source": "ASCE/SEI 7-16 Minimum Design Loads for Buildings and Other Structures",
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"wikidata_entity": "Q7964839 (structural-load)"
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},
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"variables": {
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"p_s": {
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"name": "flat_roof_snow_load",
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"unit": "psf",
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"description": "Design snow load on horizontal projection of sloped roof"
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},
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"C_e": {
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"name": "exposure_factor",
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"range": [0.8, 1.2],
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"default": 1.0,
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"description": "Exposure factor accounting for terrain roughness and shielding",
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"values": {
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"0.8": "Exposed (open terrain, Category C/D)",
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"1.0": "Partially sheltered (Category B)",
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"1.2": "Sheltered (urban core, dense obstacles)"
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}
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},
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"C_t": {
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"name": "thermal_factor",
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"range": [1.0, 1.1],
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"default": 1.0,
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"description": "Thermal factor accounting for heat loss through roof",
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"values": {
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"1.0": "Heated roof (normal conditions)",
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"1.1": "Cold roof (minimal heat loss)"
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}
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},
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"C_s": {
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"name": "slope_factor",
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"calculation": "piecewise_linear",
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"formula": {
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"theta_lt_30": "1.0",
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"theta_30_to_50": "1.0 - (θ - 30) / 70",
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"theta_gt_50": "0.0"
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},
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"description": "Slope factor reducing load on steep roofs due to sliding"
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},
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"I_s": {
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"name": "importance_factor",
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"default": 1.0,
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"description": "Importance factor for occupancy category",
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"values": {
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"1.0": "Residential, standard commercial",
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"1.1": "Essential facilities",
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"1.2": "High consequence structures"
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}
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},
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"p_g": {
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"name": "ground_snow_load",
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"unit": "psf",
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"minneapolis_average": 25,
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"historical_max": 52,
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"source": "ASCE 7-16 Table 7.1-1",
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"monte_carlo_variance": "±15% (σ = 0.15 × μ)"
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}
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},
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"simulation_parameters": {
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"iterations": 10000,
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"distribution": "normal",
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"transform": "Box-Muller",
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"output_metrics": ["mean", "median", "p95", "p99", "absolute_max"]
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},
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"climate_reference": {
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"city": "Minneapolis",
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"wikidata": "Q36091",
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"county": "Hennepin",
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"state": "Minnesota",
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"typical_ground_snow_load": 25,
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"extreme_events": [
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{"year": 1996, "depth_inches": 39, "estimated_psf": 45},
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{"year": 1987, "depth_inches": 41, "estimated_psf": 48}
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]
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},
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"failure_criteria": {
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"definition": "percentage_of_iterations_where_ps_exceeds_structural_capacity",
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"acceptable_threshold": "< 5% for residential, < 1% for critical infrastructure"
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},
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"machine_interface": {
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"endpoint": "/winter-load.html",
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"input_schema": {
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"pg": "float (psf)",
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"theta": "float (degrees, 0-90)",
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"Ce": "float (0.8-1.2)",
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"Ct": "float (1.0-1.1)",
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"Is": "float (1.0-1.2)"
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},
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"output_schema": {
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"mean_ps": "float",
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"p95_ps": "float",
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"p99_ps": "float",
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"max_ps": "float",
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"Cs_computed": "float",
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"failure_probability": "float (0.0-1.0)"
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}
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}
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}
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