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Articulated Vehicle Swept Paths: Truck and Trailer, Semi and Articulated Bus

By Joël MarthReading time: 6 min read
Swept PathArticulated VehicleTruck and TrailerArticulated Bus
Articulated vehicle in a tight turn with visible swept path and trailer off-tracking
Articulated vehicle in a tight turn with visible swept path and trailer off-tracking

PathSweeper now supports realistic swept path analysis for articulated vehicles. Semi-trailers, drawbar trailers, central axle trailers, and articulated buses can now be simulated live while drawing a vehicle path directly in the browser.

Unlike rigid vehicles, articulated combinations do not follow a single track. Each vehicle unit reacts to the movement of the unit in front, creating additional off-tracking and larger swept areas. PathSweeper models these interactions to provide realistic results for complex vehicle combinations.

With this update, all 13 standard design vehicles from the German RBSV 2020 guidelines are available in PathSweeper, from passenger cars to 18.75 m articulated combinations.

Why articulated vehicles require different swept path calculations

A rigid truck has a relatively simple movement pattern. The rear axle follows the path created by the steering axle. Articulated vehicles behave differently because every additional unit follows its own path.

A trailer does not simply follow the exact track of the towing vehicle. Instead, it cuts inside the curve, and the critical point of the swept path often occurs at the rear of the combination rather than at the front.

This is why a turning area that works for a rigid truck may not be sufficient for a truck and trailer combination. The required swept area increases with every additional articulation point.

PathSweeper calculates the movement of each vehicle unit along the driven path and considers the interaction between all articulation points. The result is a realistic articulated vehicle swept path that reflects the actual movement of the vehicle combination.

The simulation also supports realistic steering behaviour. In Realistic mode, the steering input is limited by the maximum steering rate of the vehicle. Trailer units respond with the corresponding delay, similar to a real driving manoeuvre.

Different vehicle types, different swept paths

Although all articulated vehicles share the same basic principle, their behaviour varies significantly depending on their configuration.

Semi-trailer (16.50 m)

A semi-trailer consists of a tractor unit and a semi-trailer connected through a fifth wheel coupling. This single articulation point causes the trailer to cut significantly inside the turning path.

For tight junctions, industrial access roads, and loading areas, accurate semi-trailer swept path calculations are essential to ensure sufficient space.

Truck and trailer combination (18.75 m)

A drawbar trailer combination consists of a rigid truck pulling a trailer with a drawbar and turntable steering system.

The additional articulation point allows the trailer to follow the towing vehicle relatively well in many situations. However, the complete combination requires considerable space during tight manoeuvres.

A realistic truck and trailer swept path helps planners evaluate whether access roads, yards, and turning areas are suitable for the vehicle.

Central axle trailer (18.75 m)

A central axle trailer has a fixed drawbar and axles positioned near the centre of the trailer. Compared with a drawbar trailer, this configuration behaves differently during cornering.

The trailer can move further sideways in tight turns, creating a larger swept area that needs to be considered during planning.

Articulated bus (18.75 m)

An articulated bus consists of a front and rear section connected by a rotating joint. During tight turns, the rear section swings significantly towards the inside of the curve.

A precise articulated bus swept path is therefore essential for bus stop design, bus bays, and turning loops.

Articulation angle and vehicle limitations

Every articulated vehicle has a maximum possible articulation angle. If this angle is exceeded, the vehicle combination reaches its mechanical limit and can no longer complete the manoeuvre.

PathSweeper continuously monitors the articulation angle during simulation. If the drawn path would require a movement that the vehicle cannot physically perform, the path is automatically adjusted to remain drivable.

This ensures that every generated swept path represents a manoeuvre the vehicle can actually complete. During reversing, PathSweeper also warns users about excessive articulation and jackknifing risk.

Tested against established reference tools

Swept path calculations for articulated vehicles are particularly sensitive to modelling errors. Small inaccuracies can lead to significant differences in the final envelope.

Before release, PathSweeper's calculations were systematically compared against established reference tools. All 13 RBSV 2020 design vehicles were tested against reference exports from AutoTURN Online. Rigid vehicles were additionally compared against Autodesk Vehicle Tracking in Civil 3D.

The results show that, with identical driving paths, the calculated swept envelopes match the references within only a few centimetres on average. The difference in swept area remains below 0.5%.

The underlying swept path engine is also continuously tested against analytical reference solutions to ensure consistent accuracy.

Turning circles of articulated vehicles

The turning circle of an articulated lorry or truck and trailer combination is often significantly larger than that of a rigid vehicle. This difference is especially important when planning industrial sites, loading areas, intersections, and restricted access routes.

A realistic swept path calculation provides a better understanding of the actual space required by complex vehicle combinations than simple turning radius values alone.

Availability

All RBSV 2020 design vehicles are available in PathSweeper with permission from FGSV for in-tool usage. They are included in the one-time Project Pass for 29 EUR per project.

The new articulated vehicle models are included as well. No subscription is required.

The standard semi-trailer is visible in the free vehicle library as a preview. Calculation access is unlocked with the Project Pass.

Additional vehicle combinations

Besides the standard vehicles, PathSweeper also supports custom vehicle creation. This allows users to create swept paths for additional combinations such as passenger cars with trailers, tractors with trailers, or specialised industrial vehicles.

This makes PathSweeper suitable for transport planning, industrial logistics, and special vehicle applications.

Create an articulated vehicle swept path in three steps

1. Upload your site plan

Open PathSweeper in your browser and upload a site plan as PDF, JPG, or PNG.

2. Calibrate the scale and select a vehicle

Define a known distance in the drawing and select the required vehicle combination, such as a semi-trailer, truck and trailer, or articulated bus.

3. Draw the vehicle path

Draw the driving path with your mouse. PathSweeper calculates the swept path of every vehicle unit in real time, monitors articulation angles automatically, and allows export as PNG, JPEG, or DXF.

For more information about swept path calculations, see our swept path analysis guide. For vehicle selection, refer to the RBSV 2020 design vehicle guide.


Legal notice on RBSV 2020: The design vehicles and swept paths from RBSV 2020 (FGSV no. 287, 2020 edition) included in PathSweeper are partially reproduced with the permission of the Forschungsgesellschaft für Straßen- und Verkehrswesen e.V. (FGSV). The authoritative version of the FGSV regulation is its most recent edition, available from the FGSV Verlag, Wesselinger Str. 15-17, 50999 Köln, Germany, fgsv-verlag.de.

Frequently Asked Questions

A trailer does not follow the towing vehicle's track: it cuts the corner towards the inside. The calculation couples each unit of the combination to the one ahead of it at its hitch point and integrates the motion step by step along the driven path. The inner edge of the swept path is set by the last wheel of the last unit. PathSweeper runs this computation live in the browser while you drag the path.

The articulation angle is the angle between the towing vehicle and its trailer at the hitch. Every combination has a mechanical maximum, and in tight turns the angle keeps growing as the vehicle drives. PathSweeper monitors it continuously and automatically widens the drawn arc when a requested turn would exceed the mechanical stop, so the preview always shows a manoeuvre the vehicle can actually drive.

A classic drawbar trailer has two pivots: the drawbar eye and a turntable above its front axle. A centre-axle trailer has a rigid drawbar and a single pivot at a low-mounted coupling on the truck, with its axles grouped under the middle of the body. The two designs corner very differently, and both are included as separate design vehicles.

Yes. The 18.75 m articulated bus (pivot joint with bellows) is included as a design vehicle. Its swept path, including the rear section, is computed live in the browser with no installation. Design-vehicle libraries are part of the one-time Project Pass.

Before release, the engine was checked against reference exports from AutoTURN Online for all 13 German RBSV 2020 design vehicles, and against Autodesk Vehicle Tracking (Civil 3D) for the rigid vehicles. On identical drive lines the computed envelopes agree with the references to a few centimetres on average, with envelope-area differences below 0.5 percent.

Sources & References

  1. RBSV 2020 — Richtlinien für Bemessungsfahrzeuge und Schleppkurven (FGSV No. 287)FGSV Verlag

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