SkyCiv Moment of Inertia and Centroid Calculator is a free, cloud-based tool designed to calculate key geometric properties of beam sections. It supports a wide variety of shapes including rectangles, circles, triangles, hollow sections, I-beams, T-beams, angles, and channels. The calculator provides instant results for moment of inertia, centroid, section modulus, torsion constant, and other section properties essential for structural analysis and design. Users can input dimensions, select shapes, and receive accurate results with visual feedback. The tool is part of SkyCiv’s suite of structural engineering software and integrates with the SkyCiv Section Builder for advanced modeling and analysis.

Features

• Shape Support:
  • Rectangles, circles, triangles, hollow sections, I-beams, T-beams, angles, channels.
• Calculated Properties:
  • Moment of Inertia (Iz, Iy)
  • Centroid (Cz, Cy)
  • First Moment of Area (Qz, Qy)
  • Section Modulus (Elastic and Plastic)
  • Torsion Constant (J)
  • Shear Area
  • Radius of Gyration
  • Warping Constant
  • Monosymmetry Constant
  • Product of Inertia
  • Plastic Neutral Axis
  • Distance from Shear Centre to Centroid
  • Angle of Rotation of Principal Axis
• User Interface:
  • Drop-down shape selection
  • Dimension input fields
  • Visual section rendering
• Integration:
  • Works with SkyCiv Section Builder and other SkyCiv analysis tools
  • DXF import and custom shape modeling available in premium version
• Access & Export:
  • Free access for up to three sections
  • PDF and CSV export options
  • Full hand calculations available with paid account

Benefits

• Accuracy: Reliable results using FEA and validated formulas.
• Speed: Instant calculations with minimal input.
• Accessibility: Fully online—no installation required.
• Visualization: Graphical section rendering for clarity.
• Documentation: Exportable reports for academic or professional use.
• Scalability: Upgrade to Section Builder for advanced modeling.
• Educational Value: Ideal for students and professionals learning structural mechanics.