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e7427b5 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 | // MargYantra – Road Design Tool
// IRC standards-based calculations for superelevation, camber, and transition curves
interface RoadDesignInput {
road_type: 'highway' | 'arterial' | 'collector' | 'local' | 'expressway';
design_speed: number; // km/h
curve_radius: number; // meters
cross_slope: number; // percentage
terrain: 'plain' | 'rolling' | 'mountainous';
pavement_type: 'flexible' | 'rigid' | 'composite';
}
interface RoadDesignOutput {
superelevation: number; // percentage
camber: number; // percentage
transition_length: number; // meters
sight_distance: number; // meters
widening_required: number; // meters
banking_angle: number; // degrees
design_considerations: string[];
irc_references: string[];
safety_warnings: string[];
confidence: number;
}
class RoadDesignCalculator {
private readonly MAX_SUPERELEVATION = 7.0; // IRC standard maximum
private readonly MIN_CURVE_RADIUS = 30; // minimum for any road
private readonly MAX_DESIGN_SPEED = 120; // km/h for highways
// IRC standard values for different road types
private roadStandards = new Map([
['highway', {
max_speed: 100,
min_radius: 230,
camber_flexible: 2.5,
camber_rigid: 2.0,
lane_width: 3.5
}],
['arterial', {
max_speed: 80,
min_radius: 120,
camber_flexible: 2.5,
camber_rigid: 2.0,
lane_width: 3.5
}],
['collector', {
max_speed: 65,
min_radius: 80,
camber_flexible: 3.0,
camber_rigid: 2.5,
lane_width: 3.25
}],
['local', {
max_speed: 50,
min_radius: 50,
camber_flexible: 3.0,
camber_rigid: 2.5,
lane_width: 3.0
}],
['expressway', {
max_speed: 120,
min_radius: 360,
camber_flexible: 2.0,
camber_rigid: 1.7,
lane_width: 3.75
}]
]);
calculateRoadDesign(input: RoadDesignInput): RoadDesignOutput {
try {
// Validate inputs
this.validateInputs(input);
const roadStd = this.roadStandards.get(input.road_type);
if (!roadStd) {
throw new Error(`Unknown road type: ${input.road_type}`);
}
// Calculate superelevation
const superelevation = this.calculateSuperelevation(input.design_speed, input.curve_radius);
// Determine camber
const camber = this.calculateCamber(input.pavement_type, input.road_type);
// Calculate transition curve length
const transitionLength = this.calculateTransitionLength(input.design_speed, input.curve_radius, superelevation);
// Calculate sight distance
const sightDistance = this.calculateSightDistance(input.design_speed, input.curve_radius);
// Calculate mechanical widening
const widening = this.calculateWidening(input.curve_radius, roadStd.lane_width);
// Convert superelevation to banking angle
const bankingAngle = Math.atan(superelevation / 100) * (180 / Math.PI);
// Generate design considerations and warnings
const designConsiderations = this.getDesignConsiderations(input, superelevation, transitionLength);
const safetyWarnings = this.getSafetyWarnings(input, superelevation, sightDistance);
const ircReferences = this.getIRCReferences(input.road_type);
// Calculate confidence based on design adequacy
const confidence = this.calculateConfidence(input, superelevation, sightDistance);
return {
superelevation: Math.round(superelevation * 100) / 100,
camber: camber,
transition_length: Math.round(transitionLength),
sight_distance: Math.round(sightDistance),
widening_required: Math.round(widening * 100) / 100,
banking_angle: Math.round(bankingAngle * 100) / 100,
design_considerations: designConsiderations,
irc_references: ircReferences,
safety_warnings: safetyWarnings,
confidence: confidence
};
} catch (error) {
throw new Error(`Road design calculation failed: ${error instanceof Error ? error.message : 'Unknown error'}`);
}
}
private validateInputs(input: RoadDesignInput): void {
if (!input.road_type || !this.roadStandards.has(input.road_type)) {
throw new Error('Invalid road type. Must be one of: highway, arterial, collector, local, expressway');
}
if (!input.design_speed || input.design_speed <= 0 || input.design_speed > this.MAX_DESIGN_SPEED) {
throw new Error(`Design speed must be between 1 and ${this.MAX_DESIGN_SPEED} km/h`);
}
if (!input.curve_radius || input.curve_radius < this.MIN_CURVE_RADIUS) {
throw new Error(`Curve radius must be at least ${this.MIN_CURVE_RADIUS} meters`);
}
if (input.cross_slope !== undefined && (input.cross_slope < -10 || input.cross_slope > 10)) {
throw new Error('Cross slope must be between -10% and +10%');
}
if (!input.terrain || !['plain', 'rolling', 'mountainous'].includes(input.terrain)) {
throw new Error('Invalid terrain type. Must be one of: plain, rolling, mountainous');
}
if (!input.pavement_type || !['flexible', 'rigid', 'composite'].includes(input.pavement_type)) {
throw new Error('Invalid pavement type. Must be one of: flexible, rigid, composite');
}
}
private calculateSuperelevation(speed: number, radius: number): number {
// IRC 73-1980 formula for superelevation
// e = V²/(127R) - f, where f = lateral friction coefficient
const lateralFriction = this.getLateralFrictionCoefficient(speed);
const superelevation = (speed * speed) / (127 * radius) - lateralFriction;
// Apply IRC limits
if (superelevation < 0) return 0;
if (superelevation > this.MAX_SUPERELEVATION) return this.MAX_SUPERELEVATION;
return superelevation;
}
private getLateralFrictionCoefficient(speed: number): number {
// IRC 73-1980 values for lateral friction
if (speed <= 50) return 0.15;
if (speed <= 65) return 0.14;
if (speed <= 80) return 0.13;
if (speed <= 100) return 0.12;
return 0.10;
}
private calculateCamber(pavementType: string, roadType: string): number {
const roadStd = this.roadStandards.get(roadType);
if (!roadStd) return 2.5;
switch (pavementType) {
case 'flexible':
return roadStd.camber_flexible;
case 'rigid':
return roadStd.camber_rigid;
case 'composite':
return (roadStd.camber_flexible + roadStd.camber_rigid) / 2;
default:
return 2.5;
}
}
private calculateTransitionLength(speed: number, radius: number, superelevation: number): number {
// IRC 73-1980 formula for transition curve length
// L = 0.0215 * V³ / R (minimum formula)
// Also consider superelevation development length
const minLength = (0.0215 * speed * speed * speed) / radius;
const superelevationLength = speed * superelevation / 0.5; // 0.5% per meter development rate
return Math.max(minLength, superelevationLength, 30); // minimum 30m
}
private calculateSightDistance(speed: number, radius: number): number {
// IRC SP 73-2018 stopping sight distance
const reactionTime = 2.5; // seconds
const brakingEfficiency = 0.35; // for wet roads
const grade = 0; // assuming level road
const reactionDistance = (speed * 1000 / 3600) * reactionTime;
const brakingDistance = (speed * speed) / (254 * (brakingEfficiency + grade / 100));
const stoppingSightDistance = reactionDistance + brakingDistance;
// Check if horizontal curve affects sight distance
const availableSightDistance = this.calculateHorizontalSightDistance(radius);
return Math.min(stoppingSightDistance, availableSightDistance);
}
private calculateHorizontalSightDistance(radius: number): number {
// For horizontal curves, sight distance is limited by curve geometry
const middleOrdinate = 1.5; // typical clearance from centerline
return 2 * Math.sqrt(2 * radius * middleOrdinate - middleOrdinate * middleOrdinate);
}
private calculateWidening(radius: number, laneWidth: number): number {
// IRC SP 73-2018 mechanical widening formula
const vehicleLength = 6; // meters (design vehicle)
const wheelBase = 3.5; // meters
const widening = (vehicleLength * vehicleLength) / (2 * radius) + (wheelBase * wheelBase) / (2 * radius);
return Math.max(0, widening);
}
private getDesignConsiderations(input: RoadDesignInput, superelevation: number, transitionLength: number): string[] {
const considerations: string[] = [];
if (superelevation > 5.0) {
considerations.push('High superelevation - ensure proper drainage design');
}
if (transitionLength > 200) {
considerations.push('Long transition curve - check for adequate sight distance');
}
if (input.terrain === 'mountainous') {
considerations.push('Mountainous terrain - consider additional safety measures and escape ramps');
}
if (input.design_speed > 80) {
considerations.push('High speed design - implement enhanced safety features');
}
considerations.push('Ensure proper signage and pavement markings as per IRC 35');
considerations.push('Consider weather conditions and seasonal variations');
return considerations;
}
private getSafetyWarnings(input: RoadDesignInput, superelevation: number, sightDistance: number): string[] {
const warnings: string[] = [];
const roadStd = this.roadStandards.get(input.road_type);
if (input.curve_radius < (roadStd?.min_radius || 100)) {
warnings.push(`Curve radius below recommended minimum for ${input.road_type} roads`);
}
if (superelevation === this.MAX_SUPERELEVATION) {
warnings.push('Maximum superelevation reached - consider increasing curve radius');
}
if (sightDistance < this.getMinimumSightDistance(input.design_speed)) {
warnings.push('Inadequate sight distance - reduce design speed or increase radius');
}
if (input.design_speed > (roadStd?.max_speed || 50)) {
warnings.push('Design speed exceeds recommended maximum for this road type');
}
return warnings;
}
private getMinimumSightDistance(speed: number): number {
// IRC minimum sight distance requirements
return speed * 2; // simplified minimum requirement
}
private getIRCReferences(roadType: string): string[] {
const references = [
'IRC 73-1980: Geometric Design Standards for Rural Highways',
'IRC SP 73-2018: Manual of Specifications & Standards for Four Laning of Highways',
'IRC 35-2015: Code of Practice for Road Markings',
'IRC 103-2012: Guidelines for Pedestrian Facilities'
];
if (roadType === 'expressway') {
references.push('IRC 5-2015: Standard Specifications and Code of Practice for Road Bridges');
}
return references;
}
private calculateConfidence(input: RoadDesignInput, superelevation: number, sightDistance: number): number {
let confidence = 90;
const roadStd = this.roadStandards.get(input.road_type);
// Reduce confidence for edge cases
if (input.curve_radius < (roadStd?.min_radius || 100) * 1.2) {
confidence -= 15;
}
if (superelevation > 6.0) {
confidence -= 10;
}
if (sightDistance < this.getMinimumSightDistance(input.design_speed) * 1.1) {
confidence -= 20;
}
return Math.max(50, confidence);
}
// Helper method to get design speed recommendations
getDesignSpeedRecommendations(): Record<string, { recommended: number; maximum: number }> {
return {
'expressway': { recommended: 100, maximum: 120 },
'highway': { recommended: 80, maximum: 100 },
'arterial': { recommended: 65, maximum: 80 },
'collector': { recommended: 50, maximum: 65 },
'local': { recommended: 40, maximum: 50 }
};
}
// Method to check design adequacy
checkDesignAdequacy(input: RoadDesignInput): { adequate: boolean; issues: string[] } {
const issues: string[] = [];
const roadStd = this.roadStandards.get(input.road_type);
if (!roadStd) {
return { adequate: false, issues: ['Invalid road type'] };
}
if (input.design_speed > roadStd.max_speed) {
issues.push(`Design speed exceeds maximum for ${input.road_type} (${roadStd.max_speed} km/h)`);
}
if (input.curve_radius < roadStd.min_radius) {
issues.push(`Curve radius below minimum for ${input.road_type} (${roadStd.min_radius}m)`);
}
return {
adequate: issues.length === 0,
issues
};
}
// Generate detailed design report
generateDesignReport(input: RoadDesignInput, output: RoadDesignOutput): string {
return `
ROAD GEOMETRIC DESIGN REPORT
===========================
INPUT PARAMETERS:
- Road Type: ${input.road_type}
- Design Speed: ${input.design_speed} km/h
- Curve Radius: ${input.curve_radius} m
- Cross Slope: ${input.cross_slope}%
- Terrain: ${input.terrain}
- Pavement Type: ${input.pavement_type}
DESIGN RESULTS:
- Superelevation: ${output.superelevation}%
- Camber: ${output.camber}%
- Transition Length: ${output.transition_length} m
- Sight Distance: ${output.sight_distance} m
- Widening Required: ${output.widening_required} m
- Banking Angle: ${output.banking_angle}°
DESIGN CONSIDERATIONS:
${output.design_considerations.map(c => `- ${c}`).join('\n')}
SAFETY WARNINGS:
${output.safety_warnings.map(w => `- ${w}`).join('\n')}
IRC REFERENCES:
${output.irc_references.map(ref => `- ${ref}`).join('\n')}
Design Confidence: ${output.confidence}%
Generated by Prithvi Guardian AI - MargYantra Module
Date: ${new Date().toLocaleDateString('en-IN')}
`;
}
}
export const roadDesignCalculator = new RoadDesignCalculator();
export { RoadDesignInput, RoadDesignOutput }; |