The electrodynamic forces acting between coaxial turns with current are estimated for the case when the turns belong to different layers in a multilayer coil, which are arranged in the same way. Expressions for the radial components of electrodynamic forces acting on a concentric outer turn are given. The suggested expressions are verified for consistency with the result obtained for the mutual inductance gradient in the radial direction, known from [1]. The expressions for tensile forces in the case of thin-layer disk coils based on their determination in terms of the inductance derivative with respect to the average radius are compared in two versions: with reference to Wheeler's approximating formulas for inductance, one of which is written in [2], and the other in [3]. The article may be useful for specialists dealing with evaluation of inductances and electrodynamic forces in the live parts of electrical systems.