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Westergaard Rigid Pavement Corner & Edge Stress Calculator

H.M. Westergaard classical equations provide the foundational analytical basis for concrete slab design resting on dense liquid subgrades (Winkler foundations).

Calculated Result
1.79 MPa

Corner Tensile Stress (σ_c)

Edge Tensile Stress (σ_e)

2.20 MPa

Radius of Relative Stiffness (ℓ)

0.923 m

Applied Wheel Load

45.0 kN

Pavement Slab Thickness

250 mm

Calculation Breakdown

  1. Stiffness Radius: ℓ = [E·h³ / 12(1-ν²)k]^(1/4)0.923 m
  2. Corner Stress: σ_c = (3P/h²)[1 - (a√2 / ℓ)^1.2]1.79 MPa

What Is the Westergaard Rigid Pavement Corner & Edge Stress Calculator?

H.M. Westergaard classical equations provide the foundational analytical basis for concrete slab design resting on dense liquid subgrades (Winkler foundations).

Wheel loads positioned at unsupported corners and free slab edges generate severe tensile bending stresses that govern pavement slab thickness requirements.

How Does the Westergaard Rigid Pavement Corner & Edge Stress Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Westergaard Rigid Pavement Corner & Edge Stress Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ℓ = [ (E · h³) / (12 · (1 - ν²) · k) ]^(1/4), σ_c = (3 · P / h²) · [ 1 - (a√2 / ℓ)^0.6 ]

Evaluates radius of relative stiffness ℓ, Westergaard corner tensile stress, and semi-infinite edge load bending stress.

How to Use the Westergaard Rigid Pavement Corner & Edge Stress Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

45 kN highway wheel load on 250 mm concrete slab on k = 55 MN/m³ subgrade

Input Values:

wheelLoadP_N:45000
slabThicknessH_M:0.25
modulusOfSubgradeReactionK_NPerM3:55000000
tireContactRadiusA_M:0.15
poissonRatioNu:0.15
elasticModulusEPa:30000000000
Worked Steps: Relative stiffness radius is ℓ = 0.941 m; corner stress is 1.48 MPa and edge stress is 2.11 MPa.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Pavement Design
  • Transportation Engineering
  • Civil Engineering
  • Geotechnical Engineering

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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