Horizontal Alignment Tool
1 Choose a method
2 Enter road and speeds
Freeway vs. expressway
Freeway: A divided highway with full access control. Traffic enters and leaves by ramps; there are no at-grade intersections or driveways.
Expressway: A divided highway with partial access control. It may have at-grade intersections or limited direct access.
Choose based on how vehicles enter and leave the road.
Source: MUTCD §1C.02 — definitions (PDF)3 Place three map points
Follow the road centerline: 1. Start of curve → 2. Midpoint → 3. End of curve.
- Select the Point of Curvature (PC), midpoint on curve, and Point of Tangent (PT).
- Drag a marker to refine; red tangent lines should align with the centerline.
- Target 30–120° separation on the constant-radius portion.
- Only use with circular curves (avoid spirals).
- Enter the advisory speed from an engineering study. The separate MDOT design-equation estimate uses measured full superelevation only.
- Mobile: pinch to zoom. Desktop: Shift+drag for box zoom.
4 Review results
Chevron sizing details: RCOC and selected method
RCOC chevron sizing (W1-8)
Selected-method chevron sizing (W1-8)
Source sections
The MDOT signing guide is dated 2023; MDOT delineator detail R-127-I is dated October 24, 2025; the MMUTCD is the 2025 edition. Each result cites its selected source. PDFs retain the original pages and notes.
RCOC method: MMUTCD base with local/primary chevron sizes. Sizes follow the RCOC practice supplied for this calculator.
Sign images are from the Manual of Traffic Signs, by Richard C. Moeur. Advisory-speed plaques adapt the W13-1P artwork (PDF) with the selected speed.
Map legend
- Chevron position
- Delineator position
- Advance-warning placement
Both device layouts are shown. See outputs for the recommended treatment.
Curve geometry
- Selected points (1–3)
- Curve arc
- Fitted circle and center
- Tangents and intersection
- Tangent extensions
- Chord (point 1 to 3)
- Sample-point segments