# Origin of Unusually High Rigidity in Selected Helical Coil Structures

## TL;DR

This paper uses continuum elasticity theory to explain why certain helical coil structures exhibit unusually high rigidity, with implications for macro- and micro-scale applications.

## Contribution

It provides a theoretical framework for understanding the conditions leading to high rigidity in asymmetric double-helix structures.

## Key findings

- Identifies conditions for high rigidity in helical coils
- Universal insights applicable to macro- and micro-scale structures
- Explains rigidity in structures like telephone cords and staircases

## Abstract

Using continuum elasticity theory, we describe the elastic behavior of helical coils with an asymmetric double-helix structure and identify conditions, under which they become very rigid. Theoretical insight gained for macro-structures including a stretched telephone cord and an unsupported helical staircase is universal and of interest for the elastic behavior of helical structures on the micro- and nanometer scale.