The behavior of pressure sensitive adhesive (PSA) tapes is sometimes examined via the loop tack test, in which a loop of the tape is brought into contact with a flat surface and then pulled away. A numerical analysis of the test is presented here. The loop is treated as an elastica, but with a nonlinear moment-curvature relation, so that the material is assumed to be elastic and inextensible. Debonding at the edge of the contact region is assumed to occur when the adhesive reaches a critical elongation. This elongation is assumed to depend on the maximum contact pressure and, in part of the results, on the length of time of contact. Shapes of the loop and values of the corresponding forces are obtained using a shooting method, and the effects of the stiffness and thickness of the adhesive and backing are examined.