Cum se calculează Moment Of Inertia
Ce este Moment Of Inertia?
Moment of inertia measures a shape's resistance to bending. Higher I values indicate better deflection resistance and are key in beam selection.
Formulă
For common shapes: rectangles I = bh³/12, circles I = πd⁴/64
- I
- bh³/12 — bh³/12
Ghid pas cu pas
- 1Calculate I by integrating area times distance squared from neutral axis
- 2For common shapes: rectangles I = bh³/12, circles I = πd⁴/64
- 3Results show bending stiffness contribution
Exemple rezolvate
Intrare
Rectangular beam 200 mm wide × 400 mm tall
Rezultat
I = 200×400³/12 ≈ 1.07×10⁹ mm⁴
Significant bending resistance
Greșeli frecvente de evitat
- ✕Using wrong axis (major vs. minor axis moment)
- ✕Confusing moment of inertia with mass moment of inertia
Întrebări frecvente
Why does I depend on axis location?
Material farther from neutral axis contributes more to bending resistance; parallel axis theorem accounts for location.
How does I affect beam weight?
I-beams maximize I while minimizing weight by placing material far from neutral axis.
Ești gata să calculezi? Încercați calculatorul gratuit Moment Of Inertia
Încercați singur →