Physics

Mohr's Circle Calculator

Find the center, radius and max shear of Mohr's circle.

Calculated Output

Center (MPa) 50

Radius (max shear) (MPa) 42.426

Principal angle (°) 22.5

Formula: center = (σx+σy)/2; radius = √(((σx−σy)/2)² + τ²)

Step-by-Step Breakdown

1. Values used:

2. Normal stress σx = 80 MPa

3. Normal stress σy = 20 MPa

4. Shear stress τxy = 30 MPa

6. Center = 50MPa

7. Radius (max shear) = 42.426MPa

8. Principal angle = 22.5°

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The math behind it

The circle is centered at (σx+σy)/2 with radius √(((σx−σy)/2)² + τ²). Its radius equals the maximum shear stress.

σx 80, σy 20, τ 30 → center 50, radius ≈ 42.4 MPa.

What does the radius represent?

The maximum in-plane shear stress.