F.B.D. for beam on disabled hoist (confirmation on work needed)

[LauraR]

Homework Statement

Hi guys,

I'm doing an assignment for college and designing a disabled hoist. I want to complete FBDs on the top beam especially. Can anyone help answer whether the work I've done is correct?

Homework Equations

the equations I used were the sum of all force = 0

and for the bending stress that the shear force = dm/dx

The Attempt at a Solution

Please see the two pictures attached for my attempts at (very quickly) drawing what i believe to be the correct solution. I'm taking the hwole thing to be static, as in the linear actuator is creating a force opposing the Load F. I would really appreciate some feedback, because I find F.B.D's hard to grasp, and I could be totally wrong!

Thanks
L

 

[LauraR]

Can anyone shed any light on this?

 

[vela]

What about the weight of the beam?

 

[LauraR]

How would I incorporate w into a shear diagram? Would it effect it? I understand w is another force acting on the beam and will put it in the top FBD, but I don't know what to do for the Shear and bending diagrams.

Thanks

 

[vela]

It's just another force. Treat it like you did the other forces.