Q$.5$ Design a trapezoidal cross sectional Crane$-$hook to hold a $\backslash (6\backslash$times $19\backslash )$ type steel wire rope of diameter $\backslash (22\backslash$mathbf$\{$m m$\}\backslash ),$ having nominal breaking strength of $(10)$ CO$625\mathrm{.}90$ tonnes. The gap of the Crane$-$hook $($ J in mm$)$ may be taken as three times wire rope diameter for its easy insertion. The Crane$-$hook is made of $25$C$8.$ Take tensile stress in the shank $\backslash (=\backslash$mathbf$\{50\}\backslash$mathbf$\{$M P a$\}\backslash ),$ Crushing stress in the threads $\backslash (=25\backslash$mathrm$\{$MPa$\}\backslash )$ and safe tensile stress at the critical section $\backslash (=170\backslash$mathrm$\{$MPa$\}\backslash ).$