The project is to design a prototype for a garage wall mount tire rack. It should be a functional design suitable for fabrication and testing as a step to a marketable, profitable product. The initial design requirements are:

$1.$The rack should have a capacity of storing a set of $4$tires$.$ Weight of one tire is $282\mathrm{.}515$kg and the diameter is $0\mathrm{.}31$m$.$Consider the factor of safety for design load to be $2.$The $4$tires are distributed as evenly distributed load. the width of one tire is $0\mathrm{.}171$m$.$

$2.$The rack is rigidly mounted on the wall, exclude from your design.

$3.$One of two configurations are to be designed, see Figure $1$and Figure $2$below$.$

$4.$When not in use, member $2$can be folded up or down to conserve space. Member $4$will be disconnected from one end and fold or removed entirely.

$5.$ Show all the calculations, including the reactions on the support, the bending of the member $3,$ pin reactions. $$The tire rack structure should be constructed from commercially available structural members, such as angles, square or Sch $40$pipes$,$ etc. $($Utilize toolbox in solidworks$)$

$6.$The recommended material is ASTM A$36$carbon steel. Yield strenght is $248$MPa. Ultimate strength is $400$MPa.$($use this material$)$

$7.$Member $1$mounting plate, should be constructed from angles. Member $2-$drop tube, should be made from square tubes, with $4$holes on both sides, evenly spaced. Member $3$cross tube, should be round tubes$/$pipes$.$

$8.$Member $3$can be mounted on different set of holes on member $2,$to hold tires in different sizes. Note the tires should not lean against the wall, all its weights are carried by member $3.$The length of member $3$will depend on your estimate of the width of $4$tires$,$ plus some wiggle room.

$9.$Member $4$s shape will be picked at your discretion.

$10.$For simplicity, consider all joints pin connected. Give a list of size and length used. Calculate pin reactions.

$11.$The manner of load is evenly distributed load. Refer figure.