H Beam Moment of Inertia Calculator

Calculate beam inertia and section values from exact dimensions. Check area, radii, modulus, and weight. Download clean reports for records and engineering reviews today.

Enter H Beam Dimensions

Use 7850 kg/m³ for typical steel.

Example Data Table

H mm B mm tf mm tw mm Area mm² Ix mm⁴ Iy mm⁴
200 100 10 6 3,080 22,492,667 3,334,107
300 150 15 8 6,660 102,070,800 8,438,640
400 200 20 10 11,600 305,386,667 26,683,333

Formula Used

The calculator treats the H beam as two flanges and one centered web.

Area: A = 2Btf + tw(H - 2tf)

Web height: hw = H - 2tf

Strong axis inertia: Ix = 2[(Btf³ / 12) + Btf d²] + [tw hw³ / 12]

Distance to each flange centroid: d = H / 2 - tf / 2

Weak axis inertia: Iy = 2(tf B³ / 12) + hw tw³ / 12

Section modulus: Sx = Ix / (H / 2), Sy = Iy / (B / 2)

Radius of gyration: rx = √(Ix / A), ry = √(Iy / A)

Mass per meter: Mass = Area in m² × Density

How to Use This Calculator

  1. Enter the total outside depth of the H beam.
  2. Enter the full flange width.
  3. Enter the flange thickness.
  4. Enter the centered web thickness.
  5. Select the unit used for all entered dimensions.
  6. Enter density when mass per meter is needed.
  7. Press Calculate to show results below the header.
  8. Use CSV or PDF buttons to download a report.

About H Beam Moment of Inertia

An H beam resists bending through its shape. Most material sits in the flanges. That placement increases stiffness about the strong axis. The web keeps the flanges apart and carries shear. A moment of inertia calculator helps compare sections before detailed design. It also helps students understand why depth matters so much.

This calculator uses the common symmetrical H section model. You enter total depth, flange width, flange thickness, and web thickness. The tool checks whether the web and flanges create a valid section. It then finds area, centroid, strong axis inertia, weak axis inertia, section modulus, radius of gyration, and estimated mass per length.

Why Strong Axis Inertia Matters

Strong axis inertia is usually the main value for beams. It controls vertical bending deflection and bending stress. Increasing total depth gives a large gain because distance from the neutral axis is squared. Weak axis inertia is smaller for many H sections. It matters for lateral bending, column buckling, and bracing checks.

Exports and Records

The result table is useful for quick records. You can export a CSV file for spreadsheets. You can also create a simple PDF report for sharing. The example table shows typical inputs and outputs. It gives a fast reference for testing the form and comparing different beam proportions.

Unit Handling

Use consistent units when entering dimensions. The calculator converts supported units to millimeters for calculation. Output values are then shown in several convenient units. Density is optional. If you enter density, the tool estimates mass per length from section area.

Design Notes

This calculator is for section property estimation. It does not replace a full code check. Real beams may include fillets, tapers, holes, welds, tolerances, and residual stress. Published steel tables should be used for final professional work. Still, this tool gives a clear first estimate. It helps screen sizes, teach formulas, and document early design choices.

Measurement Tips

For best results, measure the overall depth first. Then measure the flange width, flange thickness, and web thickness. Keep flange thickness less than half the depth. Keep web thickness less than flange width. Review warning messages before using results in any report.

Always compare several sections, not one size only. Small dimensional changes can change stiffness, weight, and cost. Clear exported reports make those comparisons easier during reviews too.

FAQs

What is moment of inertia for an H beam?

It is a section property that shows how strongly the beam shape resists bending. Higher inertia usually means lower deflection under the same load.

Which axis is stronger in an H beam?

The strong axis is usually the horizontal centroidal axis through the web. It benefits from flanges placed far from the neutral axis.

Does this calculator include fillets?

No. It uses a simplified three-rectangle H section. Real rolled sections may have fillets, tapers, and tolerances.

Can I use inches as input?

Yes. Select inches in the unit field. The calculator converts values internally and shows useful metric and inch-based outputs.

What is section modulus?

Section modulus links moment of inertia to bending stress. It is found by dividing inertia by the distance to the extreme fiber.

Why is depth important?

Depth moves flange area farther from the neutral axis. That increases inertia greatly because the distance term is squared.

What density should I use for steel?

A common steel density is 7850 kg/m³. Use the exact project value when material specifications require it.

Is this enough for final design?

No. Use it for estimates and learning. Final design should follow local codes, load cases, bracing rules, and verified section tables.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.