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Cotter joint is a mechanical component which is used in connecting a piston rod to the cross-head of a reciprocating steam engine, a piston rod and its extension as a tailor pump rod, strap end of connecting rod etc. socket is a important component of cotter joint. In this research paper, outer diameter of the socket is calculated using mathematical modeling and result obtained by mathematical modeling is validated using bisection method.doi:10.22214/ijraset.2018.4733 fatcat:ah4hllajqnbqnksimbwvffficq