Mohr's Circle & Principal Stress Calculator
Calculate maximum and minimum principal stresses (σ1, σ2), maximum in-plane shear stress (τmax), principal angle (θp), and Von Mises equivalent stress for 2D plane stress.
Planar Stress State Components
MPa
(+) Tension | (-) Compression
MPa
(+) Tension | (-) Compression
MPa
MPa
e.g. A36 Steel: 250 MPa
Principal Stresses
ELASTIC (FOS = 2.05)
σ1 = +89.5 MPa | σ2 = -49.5 MPa
Principal Angle (θp): 15.1° (Rotated Counter-Clockwise)
Max In-Plane Shear (τmax)
69.5 MPa
Shear angle (θs): 60.1° (θp + 45°)
Von Mises Stress (σv)
122.0 MPa
Tresca stress: 138.9 MPa
Mohr's Circle Geometric Center & Radius
Circle Center (σavg, 0):
(+20.0, 0.0) MPa
Circle Radius (R):
69.5 MPa
Yield Criterion Verdict:
48.8% of 250 MPa Yield Limit