Simple Mohr's Circle Question - Axis scales?

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Using Mohr's Circle requires the x and y axes to have the same scale to ensure accurate results, as differing scales can significantly affect the interpretation of the data. For calculating the principal second moments of area, Ix and Iy, it's crucial to correctly position the center of the circle and plot points accurately. The correct method involves placing the center at the average of Ix and Iy and plotting the relevant points to determine where the circle intersects the x-axis. Inaccurate scaling can lead to misleading conclusions about the values of Ix and Iy. Therefore, maintaining consistent axis scales is essential for accurate analysis in Mohr's Circle applications.
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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