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Mohr's Circle Simulator

Rotate a stress element and watch its face stresses ride around the Mohr circle in lockstep: the orientation where shear vanishes gives the principal stresses, the top of the circle gives the maximum shear. Read the principal angle, check failure against von Mises and Tresca, and see the live safety factor.

Principal Stresses Lesson Product Page Solid Mechanics Analyzer

Drag the element angle θ, or press Rotate to sweep it through a full turn. The point on the circle is the current face stress.

Parameters

Stress state (MPa)
80 MPa
-20 MPa
40 MPa

The element angle below rotates the view; the principal stresses are an invariant of the state, not of the angle.

Element angle
0°
Failure check
250 MPa

Optional. The charts and summaries already update live as you drag any parameter; this just forces an immediate full recompute.

Analysis Charts

The transformation charts show every face stress through a full rotation; the failure charts place this state against the yield envelope. The teal marker is the current angle. Drag any parameter and every curve updates live.

Compare two states:
Stress transformation
Normal stress vs angle
Shear stress vs angle

Normal stress vs rotation

σx′ at this angle
–
σy′ at this angle
–
Principal angle θp
–

Shear stress vs rotation

τx′y′ at this angle
–
Maximum shear
–
Max-shear angle θs
–
Failure
Failure envelope
Load margin

Principal-stress space

σ₁
–
σ₂
–
Equivalent stress
–

How far from yield

von Mises
–
Tresca
–
Safety factor
–

Download Professional Resources

Generated for your exact stress state: data, design specs, and a lab report.

📊
Lab Report
Complete report with watermark-free Mohr diagram and all four transformation and failure graphs, as .MD with the .PNG images embedded.
1 USD
📈
Experimental Data
Full transformation dataset for your state in .CSV: σx′, σy′, τx′y′ across a full rotation, plus the principal and equivalent-stress invariants.
1 USD
📐
Design Data + Animation
Principal stresses, orientation, and the failure verdict in .TXT, a watermark-free .PNG, and the rotating element as a .WEBM video.
1 USD

All resources generated for your exact stress state. 1 USD per item, or buy all as a package.