Moment of Inertia Calculator

Calculate second moment of area I for standard shapes: rectangle bd³/12, circle πD⁴/64, hollow circle. Parallel axis theorem: I = I_centroid + A·d². Composite sections built-up from standard shapes.

2D stress state at a point. All stresses in MPa.

σx — Normal Stress X (MPa)
σy — Normal Stress Y (MPa)
τxy — Shear Stress (MPa)
⚙ Mechanical Note: Results are based on standard textbook formulas and ISO/AASHTO references. Always verify critical designs with applicable codes (ISO 898, AASHTO 1993, AISC, Eurocode 3) and a qualified engineer.
Advertisement

How It Works

Calculate second moment of area I for standard shapes: rectangle bd³/12, circle πD⁴/64, hollow circle. Parallel axis theorem: I = I_centroid + A·d². Composite sections built-up from standard shapes

Each component has a specific meaning:

  • Standard shapes — The standard shapes recorded for the patient or scenario being assessed.

Note: Interpret the moment of inertia result against the clinical thresholds and context described above.

How to Use

Enter the standard shapes for the patient or scenario you are assessing. Calculate second moment of area I for standard shapes: rectangle bd³/12, circle πD⁴/64, hollow circle. Parallel axis theorem: I = I_centroid + A·d². Composite sections built-up from standard shapes. Use the moment of inertia result to inform your clinical assessment.

Frequently Asked Questions