Strong Moment of Inertia of Arc
Strong Moment of Inertia of Arc
(OP)
I am in search of basic formulas for determining the strong moment of inertia of an arc. I know the equatin for weak and know the integral method to determine the strong. I need a quick formula. For example, an arc of radius 14inches and thickness of 1/8" (cross section of half a pipe). The answer should be about 530in^4.
Thanks in advance.
Thanks in advance.





RE: Strong Moment of Inertia of Arc
you should notice that the weak axis is aligned so the the material is close to the axis, so the strong axis is aligned ???
also the strong axis is at 90 deg to the weak axis (for the reason noted above).
the accurate value is a little difficult to calc ... you need to integrate the element dA defined as a length Rdtheta and a width t/sin(theta) for theta between + and - 45deg ... clear as mud ?
Quando Omni Flunkus Moritati
RE: Strong Moment of Inertia of Arc
The answer to my question was (pi/8)*((Outer Radius)^4-(InnerRadius)^4)).
RE: Strong Moment of Inertia of Arc
More on section properties
Doug Jenkins
Interactive Design Services
http://newtonexcelbach.wordpress.com/