Moment Of Inertia ಅನ್ನು ಹೇಗೆ ಲೆಕ್ಕ ಹಾಕುವುದು
Moment Of Inertia ಎಂದರೇನು?
Moment of inertia measures a shape's resistance to bending. Higher I values indicate better deflection resistance and are key in beam selection.
ಸೂತ್ರ
For common shapes: rectangles I = bh³/12, circles I = πd⁴/64
- I
- bh³/12 — bh³/12
ಹಂತ-ಹಂತದ ಮಾರ್ಗದರ್ಶಿ
- 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
Worked Examples
ಇನ್ಪುಟ್
Rectangular beam 200 mm wide × 400 mm tall
ಫಲಿತಾಂಶ
I = 200×400³/12 ≈ 1.07×10⁹ mm⁴
Significant bending resistance
Common Mistakes to Avoid
- ✕Using wrong axis (major vs. minor axis moment)
- ✕Confusing moment of inertia with mass moment of inertia
Frequently Asked Questions
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.
ಲೆಕ್ಕಾಚಾರ ಮಾಡಲು ಸಿದ್ಧರಿದ್ದೀರಾ? ಉಚಿತ Moment Of Inertia ಕ್ಯಾಲ್ಕುಲೇಟರ್ ಅನ್ನು ಪ್ರಯತ್ನಿಸಿ
ನೀವೇ ಪ್ರಯತ್ನಿಸಿ →