  Recently, both global and local classical randomness-assisted projective
measurement protocols have been employed to share Bell nonlocality of an
entangled state among multiple sequential parties. Unlike Bell nonlocality,
Einstein-Podolsky-Rosen (EPR) steering exhibits distinct asymmetric
characteristics and serves as the necessary quantum resource for one-sided
device-independent quantum information tasks. In this work, we propose a
projective measurement protocol and investigate the shareability of EPR
steering with steering radius criterion theoretically and experimentally. Our
results reveal that arbitrarily many independent parties can share one-way
steerability using projective measurements, even when no shared randomness is
available. Furthermore, by leveraging only local randomness, asymmetric two-way
steerability can also be shared. Our work not only deepens the understanding of
the role of projective measurements in sharing quantum correlations but also
opens up a new avenue for reutilizing asymmetric quantum correlations.
