Recently, Rozvany and Maute presented a simple problem of topology optimization under uncertainty with a single load condition that can be solved without Monte Carlo simulation. This note extends this idea to a two-bar truss under two load conditions for the purpose of illustrating differences between deterministic designs and reliability–based ones in terms of risk allocation. For this example, for the same probability of failure, a deterministic design based on the same safety factor for both loads can be substantially heavier than the reliability–based design. The difference in weight is due to very different risk allocation between the two failure modes.
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