When you find a recipe that states a pressure in psi, it means one of two things.
1. The psi refers to the pressure applied to a hydraulic (liquid operated) or pneumatic (air operated) cylinder that is used to apply pressure to the cheese. Without knowing the bore size (inner diameter) of the cylinder, there is no way of knowing what the force is that is applied to the cheese. For example, if you apply 40 psi to a cylinder with a 2 inch bore, it will apply 4 time as much force as 40 psi in a cylinder with a 1 inch bore.
2. The author of the recipe means to state a force (weight) in pounds and refers to psi by mistake.
As I had stated in an earlier thread, many folks misunderstand the distinction between PSI and force (which can be weight.) In a press that is driven by a cylnder, the total force applied (equivalent to how much weight you would use) is equal to the pressure of the fluid used (which can be liquid or gas) in psi times the surface area of the inner bore of the cylinder in square inches. To determine the psi applied to the cheese, you take that force applied by the cylinder, and divide it by the area of the follower in your press.
I think that most of the home cheesemaking books indicate the weight to use when pressing, and they are designed for a 2 lb, 4 in (approx) diameter wheel. There has been a prior discussion regarding how to scale up for larger wheels, and to caluculate the psi to use in a cylinder driven press you use the reverse of the procedure I described above.