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How do you use a Southwell Plot to estimate the critical load and initial imperfection of a column?
Wiki User
∙ 13y ago
The Southwell Plot method enables you to test a column in a non-destructive manner so that its buckling behaviour can be determined.
If we look at the Southwell Plot equation:
P/y = 1/Pcr * y + a/Pcr
Here we have:
P = Applied load
y = mid-height displacement
Pcr = Critical buckling load
a = initial mid-height deformation (or imperfection as you called it)
Using test data, you can plot a graph with P/y along the y-axis and y along the x-axis. This will give you a slope of 1/Pcr and an intercept at y=0 of a/Pcr. From there the value of 'Pcr' and 'a' can be determined.
It is interesting to see how the slope of this curve is often very linear, especially for elastic buckling cases. It is for this reason that you do not need to test a column to failure.
Wiki User
∙ 13y ago
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