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Flexible Pavement Design Calculator

Flexible Pavement Design: ESAL and Structural Number - AASHTO 1993

Part 1 works out the design ESALs from the truck fleet and axle loads; Part 2 designs the structural number and the layer thicknesses with the AASHTO 1993 flexible-pavement equation. One full design report covers both.
by Shahid Pervaiz: pervaiz.shahid@gmail.com
METHOD  AASHTO Guide for Design of
Pavement Structures, 1993

EQUATION  Flexible Pavement — Empirical SN Model
Part 1 — Design ESALs (AASHTO 1993 Appendix D; the SN and pt here are temporary assumptions for the load equivalency factors)
§1 · Design Parameters
% / year
years after opening
count year → opening
§2 · Truck Fleet — Expandable

Add one row per truck type. Each truck can have multiple axle groups (single, tandem, tridem). LEFs are interpolated live from AASHTO Tables D.1–D.9. Each truck's Adopted Factor starts synced to its computed Composite LEF; setting it higher implies truck loading and/or tyre pressure above the adopted standard/reference conditions.

§3 · Annual ESAL Summary (Year of Traffic Count)

Note: setting an Adopted value higher than the computed composite LEF implies truck loading and/or tyre pressure above the adopted standard/reference conditions.

Truck Type Front Axle Mid. Axle Rear1 Axle Rear2 Axle Total Adopted AADT Daily ESAL
Total Daily ESAL —
Total Annual ESAL —
Growth to opening year (1+g)p —
Growth Factor over the design life, GF —
Design lane factor DDF × LDF —
Design-lane ESALs over the design life, millions —
§4 · Design ESALs
Design life (from opening)
—
Growth Factor GF
—
Annual ESALs (base year)
—
Cumulative Design ESALs (design lane)
—
The cumulative design ESALs go straight into W₁₈ of Part 2, with the traffic years and the truck breakdown for the full report.
§5 · Year-by-Year Accumulation
Year Calendar Annual ESALs Cumulative, design lane from opening
§6 · LEF Quick Reference (SN & pt above)
Part 2 — Structural number design (AASHTO 1993 flexible pavement equation; pi, pt and ΔPSI are set here)

A Project Data

B Design Data

C Traffic & Subgrade Input for SN

Use a tested, project-specific value when available.
M_R = 2555 × CBR^0.64  ·  left side = log₁₀(W₁₈ × 10⁶)

D Design Structural Number (SN)

Enter a trial SN and adjust it until the right side matches the left side (log₁₀W₁₈) — this is the Design SN used below to check against the layers provided.

E Asphalt Concrete Wearing Course

F Asphalt Concrete Base Course

G Aggregate Base Course

H Granular Subbase Course

Σ Total Structural Number Provided

L Layered Design Check and Minimum Thicknesses

Blank: from the base layer coefficient, a = 0.249 log E_BS − 0.977 (per inch).
Blank: from the subbase layer coefficient, a = 0.227 log E_SB − 0.839 (per inch).
AASHTO 1993 Part II 3.1.5 (Figure 3.2): each layer must protect the one below it — SN required over the base and over the subbase with their own moduli; not applied above 40,000 psi. Part II 3.1.4: minimum practical thicknesses by design ESALs.
Required SN
—
Provided SN
—
Status
—
Layer contribution
Wearing course, a₁D₁
—
Asphalt base, a₂D₂
—
Aggregate base, a₃D₃m₂
—
Granular subbase, a₄D₄m₃
—
I Pavement Cross-Section — schematic, not to scale below subgrade line
Subgrade shown schematically — not to scale
Method & practical use

Understand the result.

Evaluate the AASHTO 1993 flexible-pavement equation and compare required and provided structural numbers.

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

Traffic in millions of 18-kip ESALs; MR in psi. Layer depths cm; coefficients are per cm in this worksheet.

The 1993 empirical equation is solved for SN. Provided SN is the sum of a × thickness × drainage coefficient. This worksheet uses cm-based layer coefficients: an inch-based coefficient must be divided by 2.54. The CBR-to-MR correlation is an estimate; use the measured MR override when available.

Worked examples

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

Trial structural number 3

At 90% reliability (ZR = −1.282), S0 = 0.45, ΔPSI = 1.7 and MR = 7,500 psi, SN = 3 gives log₁₀W18 = 5.613970, or 0.411121 million ESALs. Solving back for SN should return 3.

Trial structural number 4

At 90% reliability (ZR = −1.282), S0 = 0.45, ΔPSI = 1.7 and MR = 7,500 psi, SN = 4 gives log₁₀W18 = 6.380189, or 2.399877 million ESALs. Solving back for SN should return 4.

Frequently asked questions

What does this tool calculate or track?

Evaluate the AASHTO 1993 flexible-pavement equation and compare required and provided structural numbers.

Which units and assumptions should I use?

Traffic in millions of 18-kip ESALs; MR in psi. Layer depths cm; coefficients are per cm in this worksheet. The 1993 empirical equation is solved for SN. Provided SN is the sum of a × thickness × drainage coefficient. This worksheet uses cm-based layer coefficients: an inch-based coefficient must be divided by 2.54. The CBR-to-MR correlation is an estimate; use the measured MR override when available.

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 Flexible Pavement Design Calculator (AASHTO 1993)

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

Work down the worksheet from section A. Results update as you type, so there is no Compute button to press.

  • A Project Data and B Design Data — traffic and design years, axle load, reliability, standard deviation and serviceability.
  • C Traffic & Subgrade Input — design ESAL, CBR and resilient modulus MR.
  • D Design Structural Number — the SN required from the AASHTO equation.
  • E to H Layers — thickness, layer and drainage coefficients for the wearing course, base course, aggregate base and granular subbase; the SN provided is checked against the SN required.

When you open the tool it already holds sample values, and a yellow bar says You are looking at sample data. The bar goes away as soon as you type your own values or load a saved project.

2

Bring in the ESAL from the ESAL Calculator

  • The design ESAL W₁₈ of Part 2 comes straight from Part 1 (cumulative design ESALs) and updates as you change the trucks or traffic data; the traffic years and the truck breakdown go into the full report. ↑ Part 1: ESALs goes back to the truck fleet.
  • Save Project keeps the imported ESAL data with the project, so the report still has it when you open the project again.
3

See how the data file looks

Press Export Inputs (.csv). It downloads every input on the worksheet as a CSV file that opens in Excel, one row per input:

ColumnWhat to enterExample
Field IDThe input's code — don't change itreliability
ParameterName of the input, for referenceReliability level
ValueThe value to use90
4

Enter your own data and import it

Change the values in the Value column and save the file as CSV. Then press Import Inputs (.csv) and choose the file.

  • Rows are matched by Field ID; rows with an unknown ID are skipped.
  • Only the inputs listed in the file are changed.
5

Save your project and open it later

Save Project (.json) saves every input on the worksheet 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.

6

Print, PDF and report

  • Save One Page Design Report in PDF prints the worksheet as a one-page design summary. To get a PDF, choose Save as PDF as the printer in the print dialog.
  • Generate Full Design Report in PDF opens a form for the report's cover and narrative: project, client, consultant, date, background text and optional uploads (cover page, location plan, typical cross section and soil investigation report). Every field has a default, so you can press Generate Report straight away. The report opens in a new tab with its own Print / Save as PDF button; allow pop-ups if nothing opens.
7

Choose the date format

Press 📅 Date format in the toolbar and choose how dates are shown and typed in every date box: DD/MM/YYYY, MM/DD/YYYY, YYYY-MM-DD, DD-MM-YYYY, DD.MM.YYYY or DD-Mon-YYYY. Type a date in that format, or click the 📅 in a date box to pick it from a calendar. A date that doesn't fit the format is outlined in red and not accepted.

The same format is used in the printout and in the generated report and its PDF. It changes only how dates look — your saved project and CSV files are not affected. Your choice is remembered in this browser for every tool on this site.

8

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