Euler-Bernoulli Beam Theory Calculator

Flexing beam theory describes bending in slender structures mathematically.The formula is given by:

Where:

• $\sigma$ is the bending stress at a point on the beam,
• $M$ is the bending moment at that point,
• $y$ is the perpendicular distance from the neutral axis to the point where the stress is being calculated (the distance from the centroid of the cross-section to the point of interest),
• $I$ is the second moment of area (also known as the moment of inertia) of the beam’s cross-sectional area.