In all eukaryotic cells, the actin cytoskeleton is maintained in a dynamic steady-state. Actin filaments are continuously displaced from cell periphery, where they assemble, towards the cell's center, where they disassemble. Despite this constant flow and turnover, cellular networks maintain their overall architecture constant. How such a flow of material can support dynamic yet steady cellular architectures remains an open question. To investigate the role of myosin-based forces in contractile steady-states of actin networks, we used a reconstituted