Strengthening Measures to Advance Rights Technologies Copyright Act of 2022 or the SMART Copyright Act of 2022 This bill authorizes the Library of Congress to designate technical measures (i.e., measures that identify, manage, or protect copyrighted works) and requires providers of internet-related services to make reasonable accommodations for applicable designated technical measures. A copyright owner may sue and receive monetary damages from a service provider that fails to make such reasonable accommodations. The bill also modifies requirements relating to a provision that limits the liability of service providers for acts of copyright infringement committed by the service providers' users.