Rigid and flexible couplings are used to connect shafts for power transmission. Rigid couplings require precise shaft alignment while flexible couplings can accommodate some misalignment. Common rigid couplings include sleeve, clamp, and flange types. Flexible couplings include beam, flange, Oldham, and universal joint types. Couplings are selected based on the application and maintained through regular inspection and lubrication to prevent failures from misalignment, improper installation, or exceeding design limits. Proper shaft alignment during coupling setup is important for maximum power transmission and machine lifespan.