Question $1$

A vertically orientated knuckle joint is needed to hang a weight of $12\mathrm{.}24$ kg from a beam on $$ construction site. The fork and the single eye are made from medium carbon steel with a carbor content of $0\mathrm{.}5\%.$ The pin is made from mild carbon steel with carbon content of $0\mathrm{.}1\%,$ PLEASE DRAW THE APPRORIATE STKECTH TO INDICATE THE FAIULE MODE AND DIMESIONS TC BE USED IN CALCULATION. DO NOT USE EMPERICAL OR STANDARD RELATIONS.

$\backslash$table$[[,$Shear stress,Compressive stress,Tensile stress$],[$Medium Carbon steel,$380$ MPa,$496$ MPa,$496$ MPa$],[$Mild Carbon steel,$340$ MPa,$420$ MPa,$420$ MPa$]]$

Design a suitable knuckle joint by determining the appropriate dimensions. $($rod diameter, diameter of pin in shear, thickness of the single eye to prevent crushing of the pin, the inside and outside diameter of the of the single eye and fork in tensile failure and the thickness of the double eye tc prevent crushing of the pin$).$

Also, determine the FOS for failure of the fork and single eye in shearing.

$[16]$