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

Moment Newton Meters (N·m)

Required number input.

Extreme Fiber Meters (m)

Required number input.

Second Moment Meters4 (m⁴)

Required number input.

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

Stress Pascals (Pa)

The resulting stress pascals 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 Stress Combined Axial Bending

  Combined elastic normal stress N/A+My/I at a chosen signed fiber coordinate; excludes buckling and local effects.

• Shear Stress Beam

  Elastic beam shear stress τ=VQ/(Ib) at a section with supplied first and second area moments and local width.

• Section Modulus Rectangle

  Elastic section modulus of a solid rectangular section about its strong centroidal bending axis: bh²/6.