What is Product of inertia of a crossection
What is Product of inertia of a crossection
(OP)
Guys,
I understand the logic moment of inertia of a crossesction (which is basically a measure of resistance towards bending about a particular axis). But i cannot visualise or even understand the product of inertia of a crossection (ABOUT THE CENTROIDAL AXIS) from the perspective of solid mechanics.
Can someone share their understanding about product of inertia? (say the crossection i am referring to is a channel section)
I understand the logic moment of inertia of a crossesction (which is basically a measure of resistance towards bending about a particular axis). But i cannot visualise or even understand the product of inertia of a crossection (ABOUT THE CENTROIDAL AXIS) from the perspective of solid mechanics.
Can someone share their understanding about product of inertia? (say the crossection i am referring to is a channel section)






RE: What is Product of inertia of a crossection
RE: What is Product of inertia of a crossection
Cheers
Greg Locock
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RE: What is Product of inertia of a crossection
thread507-241589: Z axis Moment of Inertia for L shape
RE: What is Product of inertia of a crossection
I like GregLocock's definition too.
BA
RE: What is Product of inertia of a crossection
i am now beginning to get the idea behind this terminology.
Greglock i agree that this provides a measure of assymetry. However say that now you are applying the load on this asymmetric section in such a manner that it is ONLY deflecting in the direction of the applied load (in this case it is a skewed load passing through the centroidal axis of the section). So in this case will the product of inertia be zero?
RE: What is Product of inertia of a crossection
BA
RE: What is Product of inertia of a crossection
it sounds like your load is aligned to the principal axes of the section. ie, your section is asymmetric, like a Zed section; this will deflect about the principal axes, which you can determine from basic section properties.
RE: What is Product of inertia of a crossection
Just as with stresses when the product of inertia goes to zero the principal axes of a cross section are obtained....
Ed.R.