Construction / CALCULATOR

Elastic Bending Stress

Elastic Bending Stress with explicit measurements, assumptions and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

N·m
Enter bending moment in N·m.
mm
Enter extreme-fiber distance in mm.
mm⁴
Enter second moment of area in mm⁴.

Formula

stress=M ×1000 ×y/I.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Linear elastic pure bending about the specified centroidal axis. Not an allowable-stress check.

Example Calculation

Example inputs
  • Bending moment: 1000 N·m
  • Extreme-fiber distance: 50 mm
  • Second moment of area: 1000000 mm⁴

Bending moment = 1000 N·m; Extreme-fiber distance = 50 mm; Second moment of area = 1000000 mm⁴. Primary result: 50.

Frequently asked questions

How do I use this calculator?

Enter bending moment, extreme-fiber distance, second moment of area. The result updates automatically. Use Reset to restore the example values.

What method does it use?

stress=M ×1000 ×y/I.. Linear elastic pure bending about the specified centroidal axis. Not an allowable-stress check.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.