Structural Engineering
Moment of Inertia Simulator
Analyze cross-sectional properties critical for structural bending and buckling resistance. Adjust dimensions or run the sweep playback to witness how the moment of inertia scales exponentially.
Bending Axis
Centroidal X-X
Bending plane
Mesh Sample
19 nodes
Dimension sweep
Output Format
CSV
Export ready
Cross-Section Parameters
Cross-section Shape
Height (h) Sweep
Structural Mechanics Model
Rectangular Inertia
Ix = (b · h³) / 12
Circular Inertia
Ix = (π · d⁴) / 64
Section Modulus
Z = Ix / y_max
Radius of Gyration
r = √(Ix / A)
Section modulus Z = 8.33e+4 mm³ determines bending strength limit.
Radius of gyration r = 28.87 mm determines slender column buckling.
Cross-Section Profile
Moment of Inertia (Ix)
4166666.667mm⁴
Section Modulus (Z)
83333.333mm³
Sectional Area (A)
5000.0mm²
Radius of Gyration (r)
28.87mm
Inertia vs Height
Dimension Sweep Results
| Height h (mm) | Inertia Ix (mm⁴) | Modulus Z (mm³) | Area A (mm²) |
|---|---|---|---|
| 20 mm | 3.333e+4 | 3.33e+3 | 1000 |
| 40 mm | 2.667e+5 | 1.33e+4 | 2000 |
| 60 mm | 9.000e+5 | 3.00e+4 | 3000 |
| 80 mm | 2.133e+6 | 5.33e+4 | 4000 |
| 100 mm | 4.167e+6 | 8.33e+4 | 5000 |
| 120 mm | 7.200e+6 | 1.20e+5 | 6000 |
| 140 mm | 1.143e+7 | 1.63e+5 | 7000 |
| 160 mm | 1.707e+7 | 2.13e+5 | 8000 |
| 180 mm | 2.430e+7 | 2.70e+5 | 9000 |
| 200 mm | 3.333e+7 | 3.33e+5 | 10000 |