The component must not fail for up to $75,000,000$ cycles at room temperature. For your analysis use a safety factor of $1.$ The ultimate tensile strength ${}_{\text{U}\text{T}\text{S}},$ yield strength ${}_Y,$ and cost of several candidate materials are listed in the following table.

$\backslash$table$[[$Material$,{}_{\text{U}\text{T}\text{S}}[MPa],{}_Y[MPa],[\frac{g}{c{m}^3}],$Cost$],[\backslash$table$[[$Aluminum alloy$],[$A$356-$T$6]],234,165,2\mathrm{.}67,$$$1\mathrm{.}80$ per lb$],[\backslash$table$[[$Aluminum alloy$],[2014-$T$6]],483,414,2\mathrm{.}80,$$$2\mathrm{.}30$ per lb$],[1045$ alloy steel,$565,310,7\mathrm{.}87,$$$1\mathrm{.}13$ per lb$]]$

The resultant force on the connecting rod is shown in the graph on the right.

Using the force vs crank angle graph, estimate the maximum, minimum, and mean force and the force amplitude on the connecting rod.

For each of the three materials listed in the table above, estimate the required diameter of the rod for no plastic deformation under a static load using the values from part $(1).$ You can assume that compressive yielding and tensile yielding occur at the same

Engineering Research and Applications, $2012$

magnitude of stress for all of the materials.