Elastic Beams

Abstract

Beams. Consider a space curve, $\mathop \Gamma \limits^ \circ ,$ in three-dimensional space and a region, $\mathop V\limits^ \circ ,$ which is formed by motion of a flat figure, S, along $\mathop \Gamma \limits^ \circ$; at every point, S is orthogonal to $\mathop \Gamma \limits^ \circ$ (Fig. 15.1). Denote the diameter of S (the maximum distance between two points of S) by h, the length of $\mathop \Gamma \limits^ \circ$ by L ₀ and the minimum curvature-torsion radius of $\mathop \Gamma \limits^ \circ$ by R.