# What is the shape of a clamped bent bar?

How would I figure out the Cartesian graph that describes a bar clamped flat for a length on one end with downward force being applied to the other?

I have an idea that the bar will try to average out the stress over the free length. Does it in fact evenly distribute stress over the whole free length? If so, can I use that fact to calculate curvature at each point to derive a Cartesian graph?

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I saw this very briefly on a course of mathematics applied to engineering. I remember that the differential equation for the shape of the bar had derivatives of up to fourth order, but that's all I've got. :/ –  Malabarba Jan 13 '11 at 4:18
@Bruce That's right. try page 38 here: pma.caltech.edu/Courses/ph136/yr2008/0810.3.K.pdf –  Mark Eichenlaub Jan 13 '11 at 11:32
@Mark Nice! Thanks. –  Malabarba Jan 13 '11 at 14:09