Shape functions for beam elements in finite element analysis
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YouTubeMichael Sevier
Shape functions for beam elements in finite element analysis
This video introduces the displacement function for a beam element in terms of its shape functions and corresponding nodal displacements and rotations. 0:00 - Introduction, use of Eqn. of the Elastic Curve to show that the displacement function must be cubic 2:10 - Boundary conditions to solve for unknown coefficients in beam displacement ...
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SOLVED: we derived the shape functions for a one dimensional, two nodeelement, N1 and N2. Suppose we now have another type of onedimensional element of length L but with three nodes with eachlocated at the left side (x = 0), middle (x = L/2), and the rightside (x = L), respectively. Starting with an appropriatepolynomial, derive the three shape functions N1, N2, and N3. Alsouse MATLAB to plot these three functions and discuss theirproperties. When you make the plots, you can assume L =1 and also
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