Examples for 1d finite element method

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I am looking for some examples for my Finite Elements project (in one dimension). I have written code in MATLAB and would like to show a few examples of it working. I have one or two general examples but am looking for one that isn't a classical solution, i.e one that cannot be solved directly. Can anyone suggest some please?

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One common example is bridges made from steel struts that can be treated as 1D beam elements. So, just make up some simple arrangement of struts.