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Problem $6-13$

A solid square rod is cantilevered at one end. The rod is $0\mathrm{.}6$ m long and supports a completely reversing transverse load at the other end of $+-2kN.$ The material is AISI $1080$ hot$-$rolled steel. If the rod must support this load for $104$ cycles with a design factor of $1\mathrm{.}5,$ what dimension should the square cross section have? Neglect any stress concentrations at the support end. Hint: since the dimension is not known, assuming a size factor of $k_b=0\mathrm{.}85$ to start with the calculation.