In order to answer these questions I started tracing strips of plywood. If the endpoints touched each other, there was almost a 90 degree angle and a drop-like shape.
Here, a strip of paper was bent and traced several times. The anchor points are fixed, but the curve length vary.
I scanned the curves and investigated them in a CAD-program. They were obviously not arcs.
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Purpose of this page
When you bend a thin strip of an elastic material you get a beautifully shaped curve. What geometry does this curve follow? Please help unravel this mystery by commenting these posts!
(Upside down) Because this is a "blog", oldest posts are shown last. To get the story straight - read from bottom to top!
Type of bending
I'm looking at the type of bending that is elastic (not plastic), meaning the material will spring back to its original shape when the force is released. Most materials break or deform permanently before they can reach an 'elastic and beautiful curve', but I think all 'elastic deformation' follow the same principals and therefore the same geometry.
About me
MÃ¥rten Nettelbladt Arkitekt SAR/MSA Stockholm, Sweden
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