Simple Mohr's Circle Question - Axis scales?

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SUMMARY

In the discussion regarding Mohr's Circle for calculating the principal second moments of area (Ix and Iy) for an equal L section, it is established that the x and y axes must be scaled equally to ensure accurate results. The incorrect scaling can lead to significant discrepancies in the values of Ix and Iy, as demonstrated by two provided Mohr's Circle diagrams. The correct approach involves centering the circle at (0.5(Ix + Iy), 0) and plotting point A at (Ix, -Ixy) to accurately determine the intersections with the x-axis, yielding the correct principal moments of inertia.

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Roomie
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I'm just wondering about using a Mohr's Circle, do I need to use the same scale for the x and y axes, as surely otherwise my choice of scale greatly impacts the results.

I am using one to get my principle second moment of areas, Ix and Iy, for an equal L section.

Ix and Iy are where the Mohr's circle cross the x axis, but depending on my scale this can vary hugely!

I'm just wondering if anyone has any advice?

Thanks!

Note: This is when the two points on my Mohr's circle have the same value on the x-axis, so when I join them up I have a vertical line.
 
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I realize this was slightly confusing but this is what I mean:

Here are 2 different Mohr's Circles, that cross the x-axis at different places just based on the scales.

So which is correct?

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-04%20at%2021.48.12.png

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-04%20at%2021.48.44.png
 
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Roomie: The x and y axes should have the same scale. I think neither of your Mohr's circles currently look correct. (1) Put the centre of Mohr's circle at (x, y) = [0.5(Ix + Iy), 0]. (2) Plot point A at (x, y) = (Ix, -Ixy), which is a point on Mohr's circle. (3) Draw the circle passing through point A. (4) Now you can see the points where Mohr's circle crosses the x axis, which are I1 and I2.
 

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