(Solution) - Generalize the results of Prob 17 31 by representing the factor -(2025 Original AI-Free Solution)
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Generalize the results of Prob. 17?31 by representing the factor of safety n as
n = ad/(b/m) + cd2
Where m is the number of ropes supporting the cage, and a, b, and c are constants. Show that the optimal diameter is d* = [b/(mc)]1/2 and the corresponding maximum attainable factor of safety is n* = a[m/(bc)]1/2/2.