Planar Elastica

The collection Planar Elastica (Planar Elastica.zip) includes:

1. A technical note deriving the governing equations for a planar elastic subjected to general end loading (i.e., combined bending moment, angled direct load and torsional moment). This note is heart of this project.

2. Macro enabled Excel spreadsheet examples that illustrate use of the above result. These examples range in sophistication from large displacement leaf springs to one requiring simultaneous solution of two elastica problems. They are described in the above note.

3. Three supplemental technical notes entitled: a.) Bend Test Models; b.) Sensitivity to Nonlinearities and Nonhomogeneities; and c.) Twist Magnification.