A cylindrical component $50$ mm long constructed from an S$-590$ alloy $($Figure $8\mathrm{.}32)$ is to be exposed to a tensile load of $70,000N.$ What minimum diameter is required for it to experience an elongation of no more than $8\mathrm{.}2$ mm after an exposure for $1,500h$ at $650C?$ Assume that the sum of instantaneous and primary creep elongations is $0\mathrm{.}6$ mm $.$

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Annealing temperature $(F)$