Transportation & Surveying Calculators
10 free transportation & surveying calculators — standards-based, with formulas, worked examples, and no sign-up.
This category is really two toolkits that share a job site. The design half implements AASHTO methods: flexible pavement via the 1993 Guide's structural number equation and layer coefficients, rigid pavement via the corresponding slab-thickness solution with load-transfer factor J, stopping sight distance from the Green Book's reaction-plus-braking model with grade correction, and vertical and horizontal curves — K values, crest and sag criteria, and the full curve geometry set (T, L, E, M, LC and PC/PT stationing). Traffic flow capacity rounds it out with the Greenshields speed-density model and its capacity point.
The surveying half is the classic COGO trio. Area by coordinates runs the shoelace formula with centroid and winding direction; traverse closure computes latitudes and departures, linear misclosure, and distributes the error by Bowditch adjustment; and bearing & distance solves both the inverse problem (two points to an azimuth and distance) and the forward problem, in bearings or DMS azimuths. These are the checks a plat or a closed traverse either passes or does not — the calculators show the intermediate columns so a bust is traceable to a leg.
Asphalt tonnage bridges design and construction: area times compacted thickness times density presets to short tons or tonnes, with truckload counts — the number the paving foreman and the estimator both need from the same pavement section the AASHTO tools produced.
All Transportation & Surveying Tools
Flexible Pavement Design Calculator
AASHTO 1993 structural number from ESALs, reliability, serviceability, and subgrade MR.
Vertical Curve Calculator
Parabolic crest and sag curves: A, K, BVC/EVC, high/low point, and sight-distance length per AASHTO.
Stopping Sight Distance Calculator
AASHTO reaction, braking, and total stopping sight distance with grade correction (US & SI).
Horizontal Curve Calculator
Simple highway circular curve: minimum radius from design speed, plus tangent, curve length, external, middle ordinate, long chord, degree of curve, and PC/PT stationing.
Rigid Pavement Design Calculator
AASHTO 1993 PCC slab thickness from ESALs, reliability, concrete strength, subgrade k, load transfer J, and drainage Cd.
Traffic Flow Capacity Calculator
Greenshields uninterrupted flow: capacity q_max = vf·kj/4, optimum speed and density, and free-flow vs congested branches with a flow-density curve.
Area by Coordinates Calculator
Area of a closed traverse or land parcel from vertex coordinates using the Shoelace formula, plus perimeter, centroid, and winding direction.
Traverse Closure & Bowditch Adjustment
Latitudes, departures, linear misclosure, and relative precision of a closed traverse, balanced with the Bowditch compass-rule adjustment.
Bearing & Distance (COGO) Calculator
Inverse and forward COGO computations: distance and azimuth between coordinates, and a new point from bearing and distance.
Asphalt Tonnage Calculator
Tons of hot-mix asphalt from up to five paved areas, compacted thickness, and mix density. Includes HMA, binder, and open-graded density presets, waste factor, 25-ton truckloads, and an optional cost estimate.
Frequently Asked Questions
My traverse does not close. Which tool tells me where the problem is?
Run traverse closure first: it lists per-leg latitudes and departures, so a single blundered distance or angle usually stands out as one leg carrying most of the misclosure. If the misclosure is small and evenly spread, apply the Bowditch adjustment and move on. Then re-run area by coordinates on the adjusted points — acreage computed from unadjusted coordinates quietly inherits the bust.
Where do the pavement design inputs (ESALs, resilient modulus) come from?
The AASHTO 1993 method needs design-lane 18-kip ESALs over the design period and a subgrade resilient modulus. ESALs come from traffic counts and truck factors — your DOT publishes defaults by road class. Resilient modulus comes from lab testing or the common CBR correlation. The calculators expose these as direct inputs so you can test the sensitivity: pavement thickness is far more sensitive to subgrade support than most people expect.