Shape Functions - 1D Element

Derive the quadratic shape functions for a 1D element.
This is a stepping stone to beam element shape functions, and later to shape functions for 2D elements.

[@frederickboulton8501]

I don't get how you got your a1 a2 and a3 equations. You skipped over a very substantial matrix skill... Did you inverse the 3x3?

[@hardcore5925]

do you understand the concept now?