English translation: stress analyst /(reviewing) structural engineer
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Explanation: A Prüfstatik is kind of a double check whether the original structural calculations performed are appropriate and sufficient for the specific structure. This check/assessment/review is done by another, independent, structural engineer, the "Prüfstatiker".
See also comment in cited URL. A "Prüfstatik" is not required that often when it comes to residential buildings - the situation may be different in an industrial environment.