The hydraulic cylinder shown in the figure has a 2-in bore and is to operate at a pressure of 1500 psi. With the clevis mount shown, the piston rod should be sized as a column with both ends rounded for any plane of buckling. The rod is to be made of forged AISI 1030 steel without further heat treatment.

(a) Use a design factor nd = 2.5 and select a preferred size for the rod diameter if the column length is 50 in.
(b) Repeat part (a) but for a column length of 16 in.
(c) What factor of safety actually results for each of the casesabove?

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in