I'd say it's a lever formula, the fulcrum being above point A and the distance being however far the 30lb mass extends. You'll calculate a torque, then convert that to a force (pounds).
I don't see that the pivot plays into it nor anything before it if the A horizontal component is rigidly attached to the horizontal component.
Also, if you need the pressure, you'll have to know the area of the contact between the horizontal component and the base.
edit:
Here you go:
http://www.calculatoredge.com/new/torque.htmedit 2: It might help with more information though, like where are the rigid connections. Is the point of the whole contraption driving the the horizontal member into the base with a certain amount of force?
edit 3 (last one, I promise): I think the problem is maybe we're mixing static and dynamic systems. Is this supposed to move, or just hold something up (or clamp something)?