Theory of Pitch and Curvature Corrections for the Helical Spring—I (Tension)

The helical spring of round cross section loaded in axial tension is solved. Both pitch and curvature are considered. All deformations and stresses are obtained by a “thin-slice” method which reduces the variables from three to two. The form of the solution is deduced from considerations of symmetry. This knowledge, applied to the equations of the boundary-value problem, produces algebraic equations which are then solved.