This paper describes the analysis and minimum weight design of a multi-disk clutch system for application in a two-speed rotorcraft transmission. The analysis and design method presented account for component stress limits and thermal requirements for a specified shift profile. The stress analysis is based on idealized structural models with closed-form stress field approximations for each clutch component including; centrifugal stress, torque and bending stress, axial clutch engagement loads and clutch disk thermal stresses. The clutch disk temperature rise and power dissipation are evaluated using a constant load torque clutch engagement model. The results show that the carbon-carbon clutch achieves significant weight savings compared with an equivalent steel clutch due to its higher allowable clutch temperature rise. The design procedure presented in this paper offers a rapid approach for overall sizing of multi-disk clutch systems.