Torsion is the twisting of an object due to an applied torque or internal stress.Torsion is the twisting of an object when a torque (a twisting force) is applied to it. In physics and engineering, it describes how a material deforms under rotational stress — think of wringing out a wet towel or the way a metal rod twists when one end is turned while the other is held fixed. The concept is central to understanding the behavior of shafts, springs, and even biological materials like spider silk, which responds to moisture by twisting. Torsion also appears in more exotic contexts, such as the twisting of spacetime around rotating masses or the helical paths of particles in magnetic fields.
The mathematical theory of torsion in elastic rods was developed by Coulomb in the 18th century and later refined by Saint-Venant in the 19th century.
When a torque is applied to an object, internal shear stresses develop, causing different cross-sections to rotate relative to each other. The amount of twist depends on the material's shear modulus, the object's length, and its cross-sectional geometry. For a uniform circular shaft, the angle of twist is proportional to the applied torque and length, and inversely proportional to the polar moment of inertia and shear modulus. In more complex materials, like layered crystals or biological fibers, torsion can couple with other deformations, leading to phenomena like moisture-induced twisting in spider silk.
Torsion is used in designing drive shafts, torsion bars in vehicle suspensions, and in measuring instruments like torsion balances, which were used by Cavendish to measure gravitational attraction.
Spider silk twists when exposed to humidity, a property that could be harnessed for actuators or sensors that respond to moisture.




