Structure shown in the figure is in static equilibrium. The goal is to design the link BD$.$

Constraints on the design choices are as follows:

Material must be aluminum:

Modulus of elasticity, $G=26\mathrm{.}9$GPa,

Yield strength, $S_y=414$MPa,

Ultimate strength, $S_{ut}=470$MPa, and

Poisson's ratio,

$u=0\mathrm{.}35.$

The factor of safety must be

Force exerted at the point C$,F=1234N.$

There are no forces or moments exerted along the $z-$axis.

The pins at the joints $A,B,C,D,$ and $E$ must have a diameter of $25$ mm $.$

Bearing stress exerted at the pin joints B and D must be ignored.

Design decisions must be made using distortion energy theory

Goal:

Draw the free body diagram of the entire assembled structure.

For the link $2$ :

Determine the following components of forces and moments on link $2.$

$F_x^A,F_y^A,M_x^A,M_y^A,M_z^A$

$F_x^B,F_y^B,M_x^B,M_y^B,M_z^B$

$F_x^C,F_y^C,M_x^C,M_y^C,M_z^C$

Draw the following force and moment diagrams for the following components

$F_x,F_y,M_x,M_y,M_z$

Assuming appropriate aspect ratio, determine the height and width of the cross$-$section.