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Cuboid


This page provides a diagram and functioning calculator to compute the mass moment of inertia for a cuboid about varying axes.


Il=112m(w2+h2)I_l = \frac{1}{12} m (w^2 + h^2)

Ih=112m(l2+w2)I_h = \frac{1}{12} m (l^2 + w^2)
Where:

Iw=112m(l2+h2)I_w = \frac{1}{12} m (l^2 + h^2)

Id=16m(w2h2+l2h2+l2w2l2+w2+h2)I_d = \frac{1}{6} m \left(\frac{w^2 h^2 + l^2 h^2 + l^2 w^2}{l^2 + w^2 + h^2}\right)
  1. 
    
    - Moment of inertia about the length axis (kg·m²)
  1. 
    
    - Moment of inertia about the width axis (kg·m²)
  1. 
    
    - Moment of inertia about the height axis (kg·m²)
  1. 
    
    - Moment of inertia about a diagonal axis passing through the centroid (kg·m²)
  1. 
    
    - Length (m)
  1. 
    
    - Width (m)
  1. 
    
    - Height (m)
  1. 
    
    - Mass of the body (kg)

Moment of Inertia For A Solid Cylinder About The Central Diameter Calculator

Inputs



Mass, m
:10.00kg​



Length, l
:6.00m​



Width, w
:1.50m​



Height, h
:3.00m​


Output



Il, kg m^2
:9.375​







Ih, kg m^2
:31.875​







Iw, kg m^2
:37.5​







Id, kg m^2
:15​





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