Use this engineering calculation for a transparent preliminary estimate or independent arithmetic check when geometry, materials, loads, operating conditions, and units are defined consistently.

Load Newtons Per Meter (N/m)

Required number input.

Span Meters (m)

Required number input.

Maximum sagging moment wL²/8 in a simply supported beam with a full-span uniform load. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Moment Newton Meters (N·m)

The resulting moment newton meters returned as a number.

• Simple beam equations assume stated supports, loads, linear elasticity, small deflection, and an appropriate section property. Shear deformation, local buckling, lateral-torsional buckling, cracking, creep, connections, dynamics, and code combinations may govern.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check assumptions against drawings, measurements, current material data, and the applicable design code. Apply required load combinations and safety factors, then obtain qualified review and testing for consequential designs.

• Beam Reaction Uniform

  Each end reaction of a simply supported beam carrying a uniformly distributed full-span load.

• Bending Stress

  Extreme-fiber bending stress magnitude in an elastic beam section from bending moment, neutral-axis distance and second moment.

• Deflection Limit Check

  Compare measured beam deflection with a supplied project-specific allowable deflection; also report the deflection-to-span ratio. This does not determine the allowable limit.