A method is developed for calculating the line load and the deflection curves for a pair of contacting rollers supported at the ends. The formulation includes the possibility of varying flexural rigidity and the distributed weight of the rollers, nonlinear force-displacement relationship in the nip, and crowning of the roller surfaces. The resulting equations are solved by the method of “quasi-linearization.” The analysis was used to study the effects on line load of the thickness of the compliant layer covering one of the rollers. The method is applicable to problems involving partial or multiply-connected contact regions.

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