Two steels are being considered for the manufacture of as-forged connecting rods subjected to bending loads. One is AISI 4340 Cr
-Mo-Ni steel capable of being heat-treated to a tensile strength of 260 kpsi. The other is a plain carbon steel AISI 1040 with an attainable Sut of 113 kpsi. Each rod is to have a size giving an equivalent diameter de of 0.85 in. Determine the endurance limit for each material. Is there any advantage of using the alloy steel for this fatigue application?
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Answer:
Using the above algorithm matches one pair of Ghostbuster and Ghost. On each side of the line formed by the pairing, the number of Ghostbusters and Ghosts are the same, so use the algorithm recursively on each side of the line to find pairings. The worst case is when, after each iteration, one side of the line contains no Ghostbusters or Ghosts. Then, we need n/2 total iterations to find pairings, giving us an P()- time algorithm.