Moment of Inertia Formula:
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Definition: Moment of inertia (Iₓ) measures an angle bar's resistance to bending about its x-axis, crucial for structural engineering calculations.
Purpose: Helps engineers design steel structures by determining how angle bars will behave under load.
The calculator uses the formula:
Where:
Explanation: The formula accounts for the full rectangular sections minus the hollow portions created by the angle's thickness.
Details: Critical for determining deflection, stress, and load capacity in structural applications like beams, columns, and frames.
Tips: Enter all dimensions in meters. Thickness must be less than both width and height. Typical angle bars range from 20×20×3mm to 200×200×20mm.
Q1: Why is moment of inertia important?
A: It determines how much a structural member will bend under load, affecting the safety and performance of structures.
Q2: What's the difference between Iₓ and Iᵧ?
A: Iₓ is about the x-axis (usually the stronger axis), while Iᵧ is about the y-axis. This calculator focuses on Iₓ.
Q3: How does thickness affect the result?
A: Thicker angle bars have higher moment of inertia, making them more resistant to bending.
Q4: Can I use this for unequal angle bars?
A: Yes, simply input the different width and height dimensions.
Q5: What are typical values for angle bars?
A: For a 50×50×5mm angle: Iₓ ≈ 1.29×10⁻⁷ m⁴. For 100×100×10mm: Iₓ ≈ 1.83×10⁻⁶ m⁴.