The Behaviour of Multiple Loops in Torsion

Abstract

The angular stiffness of a multiple looped span, subject to rotation about a vertical axis (torsion) and also to rotation about a horizontal or radial axis (mesio-distal tilt), have been derived using the complementary (strain) energy method. Experimental measurements on enlarged models were in good agreement with the values calculated from the theoretical relationships obtained. The variations in angular stiffness resulting from changes in the loop height, width, and position of clinical sized loops are discussed.

Index words:

• Biomechanics
• Looped arches
• Torsional stiffness
• Mesio-distal tipping stiffness