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BEAMS & SECTIONS / TOOL 14

Projected Bearing Stress Calculator

Use this only when your calculation model already defines a rectangular projected bearing area and you need its nominal average compressive stress.

Defined engineering modelWorked example includedFree to use
Before you start: required inputs
  • Identify the force assigned to the projected area in your chosen load path.
  • Define the rectangle’s width b and material thickness t from the detail drawing. Confirm that a projected-area model is appropriate for the detail.
1

Enter your values

Example values loaded
kN
Force transferred through the particular projected area being examined, in kN. It should come from the relevant load-path analysis.
mm
Width b of the user-defined projected bearing rectangle, measured from the detail drawing in mm.
mm
Material thickness t used in the same projected-area model, in mm. This is not automatically the width or length of a wheel contact patch.
A PRACTICAL WALKTHROUGH

How to use this calculator

01

Identify the projected rectangle

Select the specific b × t area used in your detail calculation. The tool does not infer a contact patch from a wheel or rail shape.

02

Use force, not mass

Enter the applied force in kN and the two projected dimensions in mm.

03

Read nominal stress only

The result is the force divided by your defined area. Use a separate, appropriate method for contact mechanics or a design-resistance comparison.

WORKED EXAMPLE

100 kN over a 100 × 20 mm projected area

THE INPUTS

Applied force 100 kN; projected width b = 100 mm; material thickness t = 20 mm.

THE RESULT

The projected area is 2,000 mm². Nominal projected bearing stress is 50 N/mm², equivalent to 50 MPa.

MAKE SENSE OF THE NUMBERS

What does the result mean?

01

Nominal stress assumes uniform force distribution over the entered rectangle.

02

Projected bearing area is the geometric b × t value you supplied; it is not a calculated wheel-to-rail contact area.

03

The output contains no allowable stress, resistance or pass/fail assessment.

Watch for this

Using this as a wheel–rail Hertz contact-stress calculator. A curved contact patch requires a different model and additional material and geometry data.

Formula & model conditions +

Projected area = b × t

Nominal projected bearing stress = force / projected area

1 N/mm² = 1 MPa

  • The supplied force is distributed uniformly over the user-defined projected rectangle b × t.
  • This is nominal projected stress only. The dimensions do not represent an automatically calculated wheel-to-rail contact patch.
  • Hertz contact stress, rail-head contact, web crippling, plate bending, local buckling and design resistance are not calculated.

Common questions

Will this calculate rail-head or wheel contact stress?

No. It does not model Hertz contact, curved surfaces or a nonuniform contact-pressure distribution.

Does it check web crippling or local plate buckling?

No. These are separate limit states requiring their own geometry, material data, boundary conditions and design method.

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