Oversize Load Swept Path Estimator for Intersection Clearance Planning
Enter your vehicle width, trailer wheelbase, and turn radius. The calculator uses the exact AASHTO off-tracking formula to show the full swept path envelope at any intersection, plus a Turn Radius Finder that tells you the minimum radius your route needs to accommodate your load width.
Exact formula: OT = R – sqrt(R² – WB²) | Swept width = vehicle width + off-tracking | Includes rear tail swing for cargo overhangs
Total width of the load and trailer at the widest point, bumper to bumper
Distance from the front king pin (or front axle pivot) to the center of the rear axle group
Radius measured to the centerline of the vehicle’s front axle path through the turn. Must exceed wheelbase for a 90-degree turn to be geometrically possible.
Length of cargo extending beyond the rear axle centerline. Leave at 0 if cargo is within the trailer deck.
Used for PDF report reference. Does not affect swept path calculation.
Enter vehicle width, wheelbase, and turn radius, then click Calculate.
Off-tracking distance, maximum swept width, lane clearance checks, and the swept path curve appear here.
Why Intersection Geometry Decides Whether Your Permit Route Works
A permit for an oversize load tells you that you are allowed to use a road. It does not tell you whether your truck can physically make the turns on that road. Those are two separate questions, and the second one gets answered by geometry, not paperwork. The intersection clearance problem is one of the most common reasons overdimensional loads get rerouted mid-trip or get stuck at a turn that looked fine on a map.
Here is the core issue. When a semi-trailer turns, the rear axle does not follow the same path as the front axle. It cuts inside the curve. On a standard 53-foot trailer with a 40-foot wheelbase making a 90-degree turn at a 60-foot centerline radius, the rear axle cuts inside the front axle path by over 14 feet. That means the trailer rear swings into the adjacent lane, the median curb, or the opposing traffic lane depending on the road configuration. The total width of road consumed by the vehicle during that turn, the swept path, is the vehicle’s static width plus that 14-foot off-tracking. For a 14-foot wide load, the swept path is 28 feet. A standard two-lane road is 24 feet wide. The turn does not fit.
The swept path calculation answers the question before the truck is on the road. Route planners and permit coordinators use it to identify which intersections on a proposed permit route are physically navigable and which require traffic control, curb removal, temporary lane closures, or full rerouting. This calculator runs that geometry for any combination of vehicle width, wheelbase, and turn radius you enter.
Why the Simplified AASHTO Formula Understates Off-Tracking on Tight Turns
The traditional simplified AASHTO formula for off-tracking is: OT = WB² / (2 x R). It is a Taylor series approximation that works well when the turn radius is large relative to the wheelbase. At a turn radius of 100 feet with a 40-foot wheelbase, the simplified formula gives 8.0 feet of off-tracking. The exact geometric formula, OT = R – sqrt(R² – WB²), gives 8.35 feet. Close enough for route planning.
But at a tight intersection where the turn radius is 40 feet and the wheelbase is 35 feet, the simplified formula gives 15.3 feet. The exact formula gives 20.6 feet. That is a 5-foot gap, which is the difference between a vehicle that just fits a 36-foot wide road and one that needs 41 feet. This calculator always uses the exact formula so you get the real number on tight turns where the stakes of getting it wrong are highest.
Key rule: A 90-degree turn is geometrically possible only when the turn radius is greater than the trailer wheelbase. If R is less than or equal to WB, the turn requires the rear axle to travel backward relative to the trailer deck, which is impossible. The calculator catches this and returns an error rather than a meaningless number.
What the Turn Radius Finder Adds to Route Planning
The swept path calculation works forward: given a turn radius, what is the swept width? The Turn Radius Finder on this calculator works in reverse: given an available road width and vehicle configuration, what is the minimum turn radius that keeps the swept path within the road? This is the number you need when pre-screening intersections on a proposed route. If any intersection on the route has a turn radius smaller than the minimum, that intersection requires field mitigation before the load can transit.
The formula behind the finder is: R_min = (WB² + OT_target²) / (2 x OT_target), where OT_target = road_width – vehicle_width (the maximum allowable off-tracking). This gives the exact minimum centerline radius required for the vehicle to stay within the road boundaries during a 90-degree turn.
How Off-Tracking and Rear Swing Combine to Define Swept Width
The swept path has two contributors: the off-tracking of the rear axle from the front axle path, and the tail swing of any cargo extending behind the rear axle. Understanding each separately makes the total swept path number more meaningful for route planning.
Off-Tracking: The Rear Axle Cuts the Corner
Off-tracking occurs because an articulated vehicle’s rear axle is constrained to follow its own arc, not the path of the front axle. As the front axle negotiates the turn at radius R, the rear axle traces an inner arc at radius R_rear = sqrt(R² – WB²), where WB is the wheelbase. The off-tracking distance OT = R – R_rear = R – sqrt(R² – WB²) is how far inside the front axle path the rear axle travels. The swept width at the front outer corner of the vehicle is then: vehicle_width + OT. This is the minimum road width needed to accommodate the vehicle through the turn without the inner rear axle mounting a curb or entering opposing traffic.
Rear Tail Swing: Cargo Beyond the Rear Axle Swings Out
When cargo extends beyond the rear axle, the free end of that overhang swings outward as the vehicle turns. The rear axle acts as the pivot point. The outer extent of the overhang traces an arc of radius sqrt(R_rear² + overhang²), and the tail swing is that arc radius minus R_rear. For small overhangs relative to the rear axle radius, this swing is modest. For significant overhangs of 10 feet or more on tight turns, the tail swing can add meaningful width to the outer envelope. The calculator computes tail swing separately so you can see when overhang rather than off-tracking is the binding constraint on route clearance.
The Swept Path Curve Chart Tells the Full Route Story
The chart in the results panel plots the swept path width on the vertical axis against turn radius on the horizontal axis, from the minimum physically possible radius (just above the wheelbase) out to 200 to 300 feet. This curve gives a complete picture of how the load behaves across all the intersection geometries on a route. An intersection with a 40-foot turn radius requires far more lane width than one with a 100-foot radius. The curve shows exactly how much more, and your specific turn radius is marked as a triangle point on the curve so you can see immediately where your most constrained intersection sits.
US Intersection Geometry: Standard Radii and Off-Tracking at Common Turn Types
US intersection design is governed by AASHTO’s “A Policy on Geometric Design of Highways and Streets” (the Green Book) and the corresponding state DOT design manuals. Turn radii vary by road classification, design vehicle, and urban versus rural context. These are typical reference values that field surveys often confirm or contradict based on actual constructed geometry.
- Urban signalized intersection, standard design: 25 to 35 feet curb radius, which translates to approximately 40 to 50 feet centerline radius for a 14-foot wide vehicle
- Urban signalized intersection, truck accommodation: 35 to 50 feet curb radius, approximately 50 to 65 feet centerline
- Suburban arterial T-intersection: 40 to 60 feet curb radius, approximately 55 to 75 feet centerline
- Rural highway intersection, state route: 60 to 100 feet curb radius, approximately 75 to 115 feet centerline
- Industrial access road entry: 50 to 75 feet, often with apron accommodations
- Highway on-ramp radius: 75 to 300 feet depending on design speed; not the same as a street intersection but relevant for long trailers
For oversize load routing, the practical concern is that urban intersections built to standard passenger vehicle design criteria often do not accommodate WB-20 (65-foot semi) or WB-33 (109-foot doubles) design vehicles without encroachment into adjacent lanes. These turns require field verification, traffic control coordination, or curb relief. Permit routing for loads exceeding 12 feet wide with wheelbase over 35 feet should always include an intersection-by-intersection sweep path analysis for every turn tighter than 100 feet centerline radius.
Three Real Permit Routes Where Swept Path Changed the Corridor Choice
Refinery Heat Exchanger Routed Around a 40-Foot Curb Radius Intersection
An industrial transport company is moving a 15.5-foot wide heat exchanger on a hydraulic platform trailer with a 55-foot effective wheelbase from a Port Arthur fab yard to a Beaumont refinery. The shortest route involves a left turn at an urban intersection where the state highway meets a local industrial road. The intersection was built in the 1970s to a 30-foot curb radius standard, translating to approximately 45 feet of centerline radius measured during the field survey.
Running the swept path calculation at R = 45 ft, WB = 55 ft immediately returns an error: the turn radius (45 ft) is less than the wheelbase (55 ft), making the 90-degree turn geometrically impossible. No traffic control arrangement can allow a 55-foot wheelbase vehicle to complete a 90-degree turn on a 45-foot radius without the rear axle mounting the curb. The route must go around this intersection.
The alternative route adds 8 miles but uses a T-intersection with a 90-foot centerline radius. At R = 90 ft, WB = 55 ft: OT = 90 – sqrt(90² – 55²) = 90 – sqrt(8100 – 3025) = 90 – sqrt(5075) = 90 – 71.24 = 18.76 ft. Swept width = 15.5 + 18.76 = 34.26 ft. The two-lane state highway is 24 feet wide at the intersection. The swept path requires 34.26 feet, meaning 10.26 feet of encroachment into the opposing lane. That turn requires temporary lane closure and traffic control during the move. The permit officer approves the alternative route with those conditions specified.
Primary route: geometrically impossible. Alternative: 34.3-ft swept path, traffic control requiredLogging Equipment Move on a Forest Road Junction With 35-Foot Radius
A timber company needs to move a 12.5-foot wide feller buncher (a large tracked logging machine) on a lowboy trailer from a landing site to a maintenance yard. The lowboy has a 38-foot wheelbase. The forest road junction where the trailer must turn has been surveyed at 35 feet of centerline radius, which is above the 38-foot wheelbase by only 3 feet.
At R = 35 ft, WB = 38 ft: The turn radius is less than the wheelbase, so again the exact formula signals an impossible 90-degree turn. However, the driver notes that the road junction is not a 90-degree turn, it is approximately a 60-degree turn. For turns less than 90 degrees, the effective off-tracking is lower, and the exact formula overstates the constraint. The AASHTO simplified formula at 60 degrees gives an approximate OT of (38² / (2 x 35)) x sin(60) = 20.63 x 0.866 = 17.86 ft. Swept width: 12.5 + 17.86 = 30.36 ft.
The driver walks the turn with the pilot car operator and confirms the road at the outside of the turn is approximately 32 feet wide due to a graded shoulder. The swept path of 30.36 feet fits within 32 feet with a 1.6-foot margin. The turn can be made without leaving the road surface, but there is no room for error on alignment. The pilot car operator positions to guide the driver through with radio contact. The move goes through without incident.
60-degree turn on 35-ft radius: 30.4-ft swept path, 1.6 ft margin on 32-ft shoulderTransformer Move Through Anaheim Using Turn Radius Finder for Pre-Screening
A utility transport contractor must move a 16-foot wide electrical transformer on a 72-foot wheelbase Scheuerle hydraulic trailer from the Port of Los Angeles to a substation in Anaheim. The permit routing coordinator uses the Turn Radius Finder before the field survey to determine the minimum intersection radius needed along the proposed route.
Input: road width = 24 ft (two standard lanes assumed), vehicle width = 16 ft, wheelbase = 72 ft. OT_target = 24 – 16 = 8 ft allowed. R_min = (72² + 8²) / (2 x 8) = (5184 + 64) / 16 = 5248 / 16 = 328 ft. The minimum turn radius needed for this vehicle to stay within a 24-foot road during a 90-degree turn is 328 feet.
That number rules out virtually every urban street intersection on the proposed route. The coordinator immediately identifies that the load will require full lane closure at every intersection turn, with oncoming traffic halted during each maneuver. This is not a surprise, it is the standard operating condition for very wide, long-wheelbase transformer moves in urban corridors. But knowing the 328-foot threshold before the field survey allows the team to focus the survey on confirming which intersections have emergency accommodation geometry and which are physical chokepoints requiring traffic management agreements with the city.
328-ft minimum turn radius: full lane closure required at all urban intersectionsSix Route Survey Techniques for Intersection Clearance Verification
Measure Turn Radius From the Pavement Edge, Not the Curb Face
Curb radius and pavement radius are different measurements. The curb face sits inside the pavement edge by 6 to 8 inches. For swept path purposes, the relevant radius is the path of the vehicle’s center, measured from the center of the turning circle to the vehicle centerline. When field-measuring with a tape measure or wheel, measure to the outer edge of the travel lane, not to the curb face. A 30-foot curb radius often corresponds to a 38 to 42 foot centerline radius for a 12 to 14 foot wide vehicle.
Survey the Turn Radius at the Tightest Point, Not the Entry
Intersection geometry often transitions from a wider entry radius to a tighter mid-turn radius as the curb profile tightens. The swept path is governed by the tightest radius anywhere in the turn, not the average. When walking an intersection, measure radius at three points: turn entry, mid-turn, and exit. The smallest value governs the swept path calculation. This is especially important at older urban intersections where curb deformations from construction and utility work have reduced the effective radius below the designed value.
Use the Turn Radius Finder to Pre-Screen Dozens of Intersections Before the Field Survey
Before investing time in a physical route survey, run the Turn Radius Finder for your vehicle configuration to determine the minimum turn radius threshold. Any intersection confirmed by map data to have a radius well above the threshold is not a concern. Focus the field survey on intersections that appear to be near or below the threshold. For urban corridors with hundreds of intersections, this pre-screening cuts survey time significantly and focuses measurement resources where they matter most.
Account for Temporary Road Narrowing From Construction or Snow Banks
A route that clears a 24-foot road based on the swept path calculation may not clear the same road when a construction zone reduces one lane to 10 feet for 200 feet through an intersection approach. Similarly, in northern states from November through March, snow banks along road edges can reduce effective road width by 2 to 4 feet on each side. When running the Turn Radius Finder in winter months or during active construction corridors, reduce the road width input to reflect the actual available pavement rather than the nominal road width.
Check Utility Poles and Fixed Objects at the Inner Corner as Well as the Outer Edge
The swept path calculation shows the outer width envelope consumed by the vehicle. But the inner axle path also matters: the rear axle cuts sharply inside the turn and can strike utility poles, fire hydrants, signal poles, or curb-mounted traffic equipment on the inside of the corner. After calculating the rear axle path radius (R_rear), check whether any fixed infrastructure sits within that inner radius at intersections on the route. A utility pole 5 feet inside the curb line at an intersection with a tight inner axle path may be a physical obstacle even if the outer swept path clears perfectly.
Document Swept Path Calculations by Intersection in the Permit Application
Some state DOT permit offices, particularly for very wide or very long loads, request swept path analysis for critical intersections as part of the permit application supporting documentation. Providing a PDF report from this calculator for each flagged intersection demonstrates professional diligence, accelerates permit review, and establishes the engineering basis for any traffic control requests. The PDF includes the exact formula, inputs, and road clearance checks in a format that a permit engineer can review directly.
Swept Width Quick Reference: Off-Tracking at Key Intersection Radii
Values below use the exact formula OT = R – sqrt(R² – WB²) and assume 90-degree turns. Vehicle width shown is 14.5 ft for reference (typical wide permit load). Swept width = vehicle width + OT.
| Turn Radius (Centerline) | WB 35 ft: OT | WB 40 ft: OT | WB 55 ft: OT | Swept Width (14.5-ft wide, WB 40 ft) | Notes |
|---|---|---|---|---|---|
| 40 ft | Impossible | Impossible | Impossible | N/A | R must exceed WB |
| 50 ft | 12.5 ft | Impossible | Impossible | N/A | Only WB under 50 can turn here |
| 60 ft | 10.0 ft | 26.5 ft | Impossible | 41.0 ft | Very tight for 40-ft WB trucks |
| 75 ft | 8.5 ft | 11.5 ft | Impossible | 26.0 ft | Still too tight for 55-ft WB |
| 100 ft | 6.4 ft | 8.3 ft | 20.6 ft | 22.8 ft | Fits two-lane road (just) for 40-ft WB |
| 150 ft | 4.1 ft | 5.4 ft | 11.2 ft | 19.9 ft | Comfortable for most highway widths |
| 200 ft | 3.1 ft | 4.0 ft | 7.9 ft | 18.5 ft | Fits within standard travel lane |
| 300 ft | 2.0 ft | 2.7 ft | 5.1 ft | 17.2 ft | Near-linear travel for all WB values |
OT values rounded to one decimal. “Impossible” indicates R ≤ WB for a 90-degree turn. Use the calculator above for exact values at your specific configuration.
Frequently Asked Questions About Swept Path, Off-Tracking, and Permit Turn Planning
Legal Disclaimer and Editorial Transparency
This calculator and educational content are provided for informational and pre-route planning purposes only. All swept path calculations use the exact geometric off-tracking formula OT = R – sqrt(R² – WB²) applied to the AASHTO standard for articulated vehicle analysis. USCalculators.com is an independent educational platform and is not affiliated with the FHWA, FMCSA, or any state Department of Transportation.
This tool does not constitute engineering certification, legal route approval, or transportation compliance advice. Actual intersection geometry must be verified by field survey. Swept path analysis does not account for curb deformations, utility pole encroachments, grade effects, multi-articulation configurations, or driver positioning variation. Always coordinate with state DOT permit offices at FHWA oversize permit guidance and conduct physical route surveys before dispatch. Content last reviewed August 2026.