Therefore, it can be seen from the former equation, that when a certain bending moment M is applied to a beam cross-section, the developed curvature is reversely proportional to the moment of inertia I. Where Ixy is the product of inertia, relative to centroidal axes x,y, and Ixy' is the product of inertia, relative to axes that are parallel to centroidal x,y ones, having offsets from them d_. Base Width (b) Height (h) Distance to height (a) Units. A guide to calculating moment of inertia of a beam section and examples. The tool will take instants to calculate the moment of inertia, section modulus, area, and centroid. Please use consistent units for any input. Select the geometrical figure and write the values of the required fields.

The calculated results will have the same units as your input. Enter the shape dimensions h, b, t f and t w below. Where I' is the moment of inertia in respect to an arbitrary axis, I the moment of inertia in respect to a centroidal axis, parallel to the first one, d the distance between the two parallel axes and A the area of the shape (=bh in case of a rectangle).įor the product of inertia Ixy, the parallel axes theorem takes a similar form: This tool calculates the moment of inertia I (second moment of area) of an I/H section (also called W-beam or double-T). The so-called Parallel Axes Theorem is given by the following equation: The moment of inertia of any shape, in respect to an arbitrary, non centroidal axis, can be found if its moment of inertia in respect to a centroidal axis, parallel to the first one, is known.

Moment of inertia calculation t beam