Problem $51$

A frame $($A$-$B$-$C$-$D$)$ is supported at A and D$.$ It is made of steel; its self$-$weight is $20k\frac{g}{m}.$ A force F is lifting the frame up; its magnitude equals the weight of the frame. Do the following:

i$.$ calculate the reactions at A and D;

ii$.$ draw the axial force diagram $[$N$],$ shear force diagram $[$V$],$ and bending moment diagram $M$ of the frame,

iii. translate the force $F$ by $x,$ identify the new action line that makes the reaction $D$ the minimum.