  We show how to construct loss-tolerant linear steering inequalities using a
generic set of von Neumann measurements that are violated by $d$-dimensional
states, and that rely only upon a simple property of the set of measurements
used (the maximal overlap between measurement directions). Using these
inequalities we show that the critical detection efficiency above which $n$ von
Neumann measurements can demonstrate steering is $1/n$. We show furthermore
that using our construction and high dimensional states allows for steering
demonstrations which are also highly robust to depolarising noise and produce
unbounded violations in the presence of loss. Finally, our results provide an
explicit means to certify the non-joint measurability of any set of inefficient
von Neuman measurements.
