millimeter to the fourth
Area moment of inertiaexact by definition
The millimetre to the fourth power is exactly 10⁻¹² m⁴, an exact relation. It is the consistent unit when working with dimensions in millimetres and stresses in N/mm², since a moment in N·mm divided by in mm⁴ times a distance in mm gives a stress in N/mm² directly.
Watch out: Real sections give very large numbers in mm⁴: an IPE 300 is 83 600 000 mm⁴. European tables therefore print the same value as 8360 cm⁴, and some sources print it as 83.6 × 10⁶ mm⁴. All three are the same section, and mistaking a cm⁴ table entry for mm⁴ understates stiffness by a factor of 10 000.
| 1 | 1 |
One millimeter to the fourth in every area moment of inertia unit
| 1.00000e+24 | nanometer to the fourth (nm⁴) | |
| 1,000,000,000,000 | micrometer to the fourth (μm⁴) | |
| 1 | millimeter to the fourth (mm⁴)this unit | |
| 0.0001 | centimeter to the fourth (cm⁴) | |
| 0.00000240251 | inch to the fourth (in⁴) | |
| 1.15862e-10 | foot to the fourth (ft⁴) | |
| 1.00000e-12 | meter to the fourth (m⁴) |
Solvers that use area moment of inertia