It sounds like you have what the crane guys call a pillar jib crane. That is, a vertical support capped with a rotating horizontal beam that supports a load. The overturning moment is, conservatively, the total of horizontal beam weight, the weight of any load supporting hoist or harware, and the maximum load capacity, multiplied by the travel length (10 feet assuming full length travel of the beam you describe). Multiply by the appropriate factor of safety, 1.5 minimum, but 2.0 is often used, especially around concrete. The result is the design overturning moment. Your base needs produce a resisting moment of at least the same value. A 3-5 foot thick concrete base, 4 feet on a side, is sufficient for use in a fixed foundation, assuming support from surrounding soils. For your "portable design", a 1 foot thick concrete slab will need to be around 10 feet on a side to give you the necessary resisting moment. A possible alternative would be to mount outriggers to the base of the vertical column. Outriggers should be at least the same length as the load beam. A good example of outrigger design is a standard engine hoist. Remember to consider the rigidity of the vertical post and any resulting stiffening required before finalizing the design.