// multi-utility computation suite · offline · instant · precise
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sci.moment-of-inertia-composite Calculator
Calculates the second moment of area (moment of inertia) of composite cross-sections using the parallel axis theorem: I_total = Σ(Iᵢ + Aᵢdᵢ²). Parallel axis theorem: I about any axis = I_centroid + Ad² — used in structural beam design to maximise second moment of area for a given cross-sectional area.
Inputs
M1 Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
R1 M
Distance from centre to edge of a circle. Radius = diameter / 2.
M2 Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
D2 M
Separation between two points or total path length. Check that units are consistent throughout the calculation.
R2 M
Distance from centre to edge of a circle. Radius = diameter / 2.
Results
total moment of inertia I (kg·m²)
The combined total across all inputs and components.
I1 = m1·k1² (kg·m²)
Reference formula or conversion factor shown for context.
I2 own inertia (kg·m²)
Sample size or count used in the calculation.
I2 parallel axis contribution (kg·m²)
Sample size or count used in the calculation.
Parallel axis theorem: I = Icm + m·d²
Reference formula or conversion factor shown for context.