The structure and deformability of double-stranded DNA and RNA depend on the sequence of bases, affecting biological processes and nanostructure design, but this dependence is incompletely understood. Here we present mechanical properties of DNA and RNA duplexes inferred from atomic-resolution, explicit-solvent molecular dynamics (MD) simulations of 107 DNA and 107 RNA oligomers containing all hexanucleotide sequences. In addition to the level of rigid bases, minor and major grooves, we probe the length and sequence dependence of global material constants such as persistence lengths, stretching and twisting rigidities. We propose a simple model to predict sequencedependent shape and nonlocal, harmonic stiffness for an arbitrary sequence, validate it on an independent set of MD simulations for DNA and RNA duplexes containing all pentamers, and demonstrate its utility in various applications. The large amount of the simulated data enabled us to study rare events, such as base-pair opening, or flips of the A-RNA sugar pucker into the B domain and the related dynamics of the 2′-OH group. Together, this work provides a comprehensive sequence-specific description of DNA and RNA duplex mechanics, forming a baseline for further research and allowing for a broad range of applications.