The Kramers method for analyzing bead‐rod suspensions in potential flow has been extended to a suspension of inverse‐Langevin‐spring dumbbells in elongational flow. The elongational viscosity and root‐mean‐square bead separation for two different inverse‐Langevin‐spring models are calculated numerically and presented in graphical form. The numerical calculations for one model are in excellent agreement with similar, approximate calculations made by Peterlin. For linear (Hookean and Fraenkel) spring models with finite spring constants, the elongational viscosity and mean‐square bead separation are unbounded, but for both inverse‐Langevin‐spring models these quantities approach an upper bound with increasing elongation rate.