Theoretical models and their computational formulations for beam and shell structures undergoing large deformations are among the most intriguing and prolific research topics since the advent of computational mechanics. Today, the variety of application fields where the potential of such models can be deployed is dramatically expanding. While traditional fields such as civil, mechanical, aerospace, and offshore/naval engineering continue to pose significant challenges, new and fascinating problems are arising in biomechanics, mechanical metamaterials, soft robotics, 4D printing, programable objects, and beyond. Addressing both longstanding and novel challenges requires the development of advanced computational methods that can efficiently capture the increasing complexity of real-world phenomena. On this basis, the proposed MS aims at creating a platform for sharing and discussing the latest advancements in computational methods, with a special emphasis on new challenges associated with innovative applications. Relevant topics include, but are not limited to, geometrically exact formulations, finite rotations (their parametrization and discretization), finite strains, constitutive models and material nonlinearities, discretization techniques, contact and beams-shells-solids coupling, instabilities and bifurcations, dynamics and time integrators, and innovative applications (biomechanics, metamaterials, programmable objects, 4D printing, etc.).