Pavement Calculator: Thickness From Expansion Pressure and the Stiffness Factor

Two more textbook pavement relations.

Calculated from standard textbook formulas, with every step shown. The formulas are fixed, so the working does not need checking: what matters is the numbers you type in. Use these calculators only if you are competent to choose the inputs (loads, material strength, dimensions, supports) and check your units and assumptions. For learning and checking your own working: design and sign-off are for a qualified engineer. Drafting Central does not store the numbers you type.

How this calculator works

Choose the thickness from the expansion pressure, or the stiffness factor.

Enter the expansion pressure and the unit weight, or the two moduli of elasticity.

The calculator gives the thickness or the stiffness factor.

Formulas used

  • t = \frac{\text{Expansion pressure}}{\text{Pavement unit weight}}
  • SF = \sqrt[3]{\frac{E_s}{E_p}}

Worked example

With the default numbers in the calculator above:

  1. Expansion pressure: 14710.00 Pa
  2. Unit weight of the pavement: 24520.00 N/m3
  3. Thickness of the pavement in metres: 0.60 m
  4. Thickness of the pavement in millimetres: 599.92 mm

Change the numbers in the calculator to see the full working, every step, for your own case.

A second worked example

A different case, with these numbers: What do you want to find? Stiffness factor of the pavement.

  1. Stiffness factor of the pavement: 0.63

Common questions

What is the thickness from the expansion pressure?

The thickness at which the weight of the pavement per unit area equals the expansion pressure: the pressure divided by the unit weight of the pavement.

What is the stiffness factor?

The cube root of the modulus of elasticity of the subgrade divided by the modulus of elasticity of the pavement. It has no unit, as long as both moduli use the same unit.

Related calculators

Got a question about this? Ask an engineering question and get a plain-language answer with references.

Further reading: Any highway or pavement engineering text.

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