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Horizontal Curve Widening Calculator

Estimate additional travelled-way width for a selected design vehicle on a horizontal curve.

by Shahid Pervaiz: pervaiz.shahid@gmail.com
Not saved to a file yet
Reference: AASHTO Green Book, 7th Ed. (2018) §3.3.10 Basis: Design vehicle off-tracking · front overhang · Z = 0.1V/√R
Travelled Way Widening on Horizontal Curves
Road & Curve
Design Speed V (kph)
Curve radius R (m)
Radius to the centreline of the road
Carriageway Single, 2 lanes (N = 2)
Lane width on tangent (m)
Lateral clearance per vehicle C: 0.60 m for 3.0 m lanes, 0.75 m for 3.3 m and 0.90 m for 3.6 m lanes and wider (interpolated between). For a 3-lane road multiply the widening by 1.5, for a 4-lane undivided road by 2.
Design Vehicle
Design vehicle
Track width on tangent u (m)
Front overhang A (m)
Wheelbase of truck or tractor L₁ (m)
Kingpin to rear axle(s) L₂ (m)
Choosing a vehicle fills in typical AASHTO dimensions; edit them to suit your authority's design vehicle. L₂ = 0 for a single-unit truck or bus.
Calculation
ΣLi² = L₁² + L₂² (m²)—
Track width on curve U (m)—
Lateral clearance per vehicle C (m)—
Front overhang width FA (m)—
Extra width for steering Z (m)—
Width needed on the curve WC (m)—
Width on the tangent WN (m)—
Widening w = WC − WN (m) —
Design widening, rounded up to 0.1 m —
Travelled way width on the curve (m) —
Recommendation —
Sketch — Plan of Widened Curve & Width Build-up (not to scale)
Computed Values
Design Vehicle—
Off-tracking U − u—
Width on Curve WC—
Widening w—
Widening per Lane—
Suggested Transition—

w = WC − WN,  WC = N(U + C) + (N − 1)FA + Z
U = u + R − √(R² − ΣLi²) — track width of the design vehicle on the curve (off-tracking of the rear wheels).
FA = √(R² + A(2L + A)) − R — width taken by the front overhang of the inner-lane vehicle, L = L₁.
Z = 0.1·V / √R — extra width for the difficulty of driving on a curve (V in kph, R in m).
C = lateral clearance per vehicle; WN = N × lane width. All in metres.

Widening w (m) — radius vs design speed, this vehicle & road

For a two-lane road with the vehicle and lane width entered on the left, rounded up to 0.1 m. highlighted = current speed column. Greyed values are below 0.6 m and may be disregarded.

Applying the Widening

On curves without spirals, place the widening on the inside edge of the travelled way. Where spiral transitions are used it may be split equally between the inside and outside edges. Run the widening in gradually, normally over the superelevation runoff length, with part of it on the tangent in the same way as the runoff, so that the edge forms a smooth, natural-looking alignment with no kinks. Place the centreline marking at the middle of the widened travelled way. Widening below about 0.6 m may be disregarded. The method is for two-lane single carriageways: for a three-lane road multiply the widening by 1.5 and for a four-lane undivided road by 2. Curves on divided highways are usually flat enough for widening to be negligible, and single-lane ramps and turning roadways use the turning roadway width criteria instead.

Method & practical use

Understand the result.

Estimate additional travelled-way width for a selected design vehicle on a horizontal curve.

How to use this tool

  1. Select the geometry or design case and confirm the displayed units.
  2. Replace sample inputs with the project values, then calculate or review the live result.
  3. Check the method, assumptions and output; save or print the calculation with its input record.

Units & method

Vehicle dimensions, radius and widening m; speed km/h.

The tool combines swept-path off-tracking, front overhang, lateral clearance and a speed allowance. Off-tracking is R − √(R² − L1² − L2²). Vehicle dimensions and allowances must match the governing design vehicle; the embedded AASHTO-attributed schedules have not been fully certified.

Worked examples

Illustrative inputs for checking the method; these are not project records.

40 km/h, 50 m radius

For a 2.5 m vehicle width, 6 m wheelbase, 1 m front overhang, two 3.65 m lanes and 0.9 m clearance per vehicle, the calculated extra width is 0.92 m. A negative result requires no additional width in this model.

40 km/h, 150 m radius

For a 2.5 m vehicle width, 6 m wheelbase, 1 m front overhang, two 3.65 m lanes and 0.9 m clearance per vehicle, the calculated extra width is 0.11 m. A negative result requires no additional width in this model.

Frequently asked questions

What does this tool calculate or track?

Estimate additional travelled-way width for a selected design vehicle on a horizontal curve.

Which units and assumptions should I use?

Vehicle dimensions, radius and widening m; speed km/h. The tool combines swept-path off-tracking, front overhang, lateral clearance and a speed allowance. Off-tracking is R − √(R² − L1² − L2²). Vehicle dimensions and allowances must match the governing design vehicle; the embedded AASHTO-attributed schedules have not been fully certified.

Can I save or share the result?

Use the save, export and print controls shown in this workspace. Where CSV export is available, the exported data can be opened in a spreadsheet. Browser print can save a PDF.

How to use the Horizontal Curve Widening Calculator

Everything runs in your browser — nothing is uploaded. If you are new to the tool, follow these steps in order.

1

Enter your inputs and read the results

Fill in the inputs in the left-hand panel; the computed values, sketch and table follow. Results update as you type, so there is no Compute button to press.

  • Project / road name and Prepared by — shown on the printout and report, and used to name saved files.
  • Design speed, curve radius, carriageway and lane width — the road and curve being checked.
  • Design vehicle — choosing a vehicle fills in typical AASHTO dimensions (track width, front overhang and wheelbases); you can change them.
  • Computed Values — track width on the curve U, clearance C, front overhang width FA, extra width Z, the width needed on the curve WC and the widening.
  • Sketch and table — a plan of the widened curve and a table of widening against radius and design speed for the chosen vehicle.
2

Save your project and open it later

💾 Save Project (.json) saves every input on the page in one .json project file. 📁 Load Project opens that file again, on any computer.

The note beside the Save button tells you whether you have unsaved changes or when you last saved. If you try to close or leave the page with unsaved changes, the browser asks you to confirm first.

Use the project file for backups and for sharing with colleagues. Don't edit it by hand.

This tool does not autosave. Save your project before closing the page.

3

Print, PDF and report

  • 🖨 Print / Save as PDF prints the inputs, results and sketch. To get a PDF, choose Save as PDF as the printer in the print dialog.
  • 📄 Generate Report opens the full design report in a new tab, with its own Print / Save as PDF button. If nothing opens, allow pop-ups for this site.
4

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