The discussion centers on calculating the moment of inertia (MoI) for a T-section, specifically whether to find it with respect to both the x and y axes or just the centroidal axis. Participants clarify that the MoI should be calculated about the centroidal axis, which is an axis passing through the centroid of the shape. The perpendicular axis theorem is highlighted as a useful method for determining the MoI about an axis normal to the plane by summing the MoIs about two perpendicular axes in the plane. The consensus is to report the MoI about the centroidal axis without combining them into a polar second moment of area unless specified.
PREREQUISITESEngineering students, mechanical engineers, and anyone involved in structural analysis or mechanics of materials will benefit from this discussion on calculating the moment of inertia for complex shapes like T-sections.
In the absence if any other information, it would be about an axis through the mass centre, but that still leaves open more than one possibility. If it is essentially a 2D shape I suggest an axis normal to that.Hoshiiiiiiiiiiiii said:
The image us not working for me. Nothing happens when I click the icon.Hoshiiiiiiiiiiiii said:
I edited my reply. I think it's working now.haruspex said:
Yes, I see it now.Hoshiiiiiiiiiiiii said:
haruspex said:
AS far as I am aware, a centroidal axis is any axis that passes through the centroid. See e.g. https://www.quora.com/What-is-the-difference-between-Neutral-axis-and-Centroidal-axis.Benjamin_harsh said:
