Solved: A round cold-drawn 1045 steel rod has a mean
Chapter 1, Problem 1-19(choose chapter or problem)
A round cold-drawn 1045 steel rod has a mean strength \(\bar{S}_y=95.5 \mathrm{kpsi}\) with a standard deviation of \(\hat{\sigma}_{S,}=6.59 \mathrm{kpsi}\). The rod is to be subjected to a mean static axial load of \(\bar{P}=65 \mathrm{kip}\) with a standard deviation of \(\hat{\sigma}_P=5.0\) kip. Assuming the strength and load have normal distributions, determine the reliabilities corresponding to the design factors of (a) 1.2, (b) 1.5. Also, determine the diameter corresponding to each case.
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