The pattern of biaxial stretching which occurs when a thin‐walled elastic tube is drawn slowly over a rotationally symmetric mandrel is analyzed. Acceleration terms are neglected in the balance of forces and the friction is assumed to be simple Coulombic. The particular case of the conical mandrel is treated in detail. Solutions are obtained for both Mooney‐Rivlin and Hookean elastic material properties and the results are compared with experiment.