Quickly calculate the bending moment in beams to ensure structural integrity and prevent failure. Our free online tool simplifies complex engineering calculations for various load types, helping you design safe and efficient structures. Understand beam stress and avoid material failure with precise data.
Formula:
The bending moment (M) at any point along a beam is a critical factor in structural design, quantifying the internal forces that cause a beam to bend. The maximum bending moment is often used for design calculations.
- For a simply supported beam with a central point load (P) over span (L): Mmax = (P × L) / 4
- For a simply supported beam with a uniformly distributed load (w) over span (L): Mmax = (w × L2) / 8
- For a cantilever beam with a point load (P) at the free end over span (L): Mmax = P × L
- For a cantilever beam with a uniformly distributed load (w) over span (L): Mmax = (w × L2) / 2
Where:
- P = Point Load (Force)
- w = Uniformly Distributed Load (Force per unit length)
- L = Beam Span Length
- Mmax = Maximum Bending Moment