The purpose of this paper is to obtain the twisting limit of 3-ply cords distinguishing between the wrapped and twisted states.
For an ideal model of cord twisting, the paper-strip wrapped ribbon form is presented. The geometry of the wrapped form shows the existence of two situations where there is an occurence of jamming in contraction and extension. The cord is similar to the wrapped ribbon form but is just jammed in extension. When the helix angle of the wrapped ribbon form just jammed is 45° as a boundary between the contracted state and the extended state, the corresponding cord helix angle, maximum cord helix angle, is estimated to be about 48.5°.