Tensile force for undercut threaded rod

Description

A threaded rod, also known as a stud, is a relatively long rod that is threaded on both ends; the thread may extend along the complete length of the rod.They are designed to be used in tension. Threaded rod in bar stock form is often called all-thread. For studs that are not completely threaded, there are two types of studs: full-bodied studs, and undercut studs. Full-bodied studs have a shank equal to the major diameter of the thread. Undercut studs have a shank equal to the pitch diameter of the screw thread. Undercut studs are designed to better distribute axial stresses. In a full-bodied stud the stresses are greater in the threads than in the shank. The allowable tensile force for an undercut threaded rod is depended on the diameter of the shank and the yield strength of the material (the stress at which a material begins to deform plastically.)

Related formulas

Variables

F_τThe tensile stress (N)
YSThe yield strength of the material. (Pa)
πpi
dThe diameter of the shank (m)