THE FEUTEX TOOLKIT

Orthogonal Chip Shear Geometry

Calculate chip ratio, shear-plane angle and engineering shear strain.

Manufacturing workspace● Runs in your browser

01 Your input

Uncut chip thicknessmmMeasured chip thicknessmmTool rake angledegrees

02 Your result

View or copy raw result data

Result data

Formulatanφ=r cosα/(1−r sinα); γ=cotφ+tan(φ−α).

Sources and model references

https://ocw.mit.edu/courses/2-008-design-and-manufacturing-ii-spring-2025/lists/lecture-notes/

Worked example

Inputs

Uncut chip thickness: 0.1 mm
Measured chip thickness: 0.2 mm
Tool rake angle: 10 degrees

Expected results

Chip thickness ratio: 0.5
Shear angle: 28.33449044 degrees
Shear strain: 2.185912568

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

Enter every input in the labeled units; use measured or independently specified properties.
Check the stated model assumptions before calculating.
Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "uncut": 0.1,
  "chip": 0.2,
  "rake": 10
}

Accuracy and scope

Orthogonal single-shear-plane cutting idealization; measured chip must represent a steady continuous chip. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.