Crane lifting 2000-kg steel beam; find forces on each of 3 cables

[shadowman123]

Hi I have been stuck on this question for a while now and I was hoping for some help. I have figured out that TAD should be =19600 but I do not know if the force goes up or down.

 

[Deleted member 4993]

Hi I have been stuck on this question for a while now and I was hoping for some help. I have figured out that TAD should be =19600 but I do not know if the force goes up or down.

Hint: Graphical solution will have to be done with ruler-compass-protractor.

I am not sure what would be the difference between algebraic and trigonometric solutions. in both the cases you h will have to follow the following steps:

The tension in the cable AB must be equal to the weight of the beam. Define x-y axes and draw a Free-body-diagram of point O, the center of the ring.

O is in static equilibrium due to four forces acting along OB (or OE), along OC (or OF), along OA (or OD) and the weight of the beam (acting vertically down from OA).

Now apply:

\(\displaystyle \sum F_x = 0\) and

\(\displaystyle \sum F_y = 0\)

Solve.....