Thank you both for responding! I did some research on "moments" and learned a little bit, but I still have some questions. I will put some actual dimensions and other specifics below. Maybe that will help. If you do decide to respond I would like to know exactly how you figure that out for future project and just general knowledge. I am OBVIOUSLY not an engineer and my extent of math knowledge goes to Algebra II in high school, but I enjoy math and love learning. Thanks again!
As I stated in the original post, I am building a press essentially. I have a sheet metal punch that requires an external force to operate. The punch manufacturer says that it will take approximately 2000 lbs of force to punch a 1/2" hole through 22 ga sheet metal. I have a pneumatic cylinder that will exert 1500 pounds of force. The plan is to attach the cylinder to one end of a lever 6" away from the pivot. On the other side of the pivot will be a foot that will travel downward to press on the punch. That foot will be 3" away from the pivot to provide a potential force of 3000 lbs. The total amount of travel on the foot end would be 5/8" and on the cylinder end 1 1/4".
I am confident that I can fabricate a lever and a structure to hold the lever that will be able to handle those forces and more. It seems to me that the weak point in that whole machine is the pivot for the lever. The pneumatic cylinder is pushing up with a force of 1500 lbs, the foot is pressing down on the punch with a force of 3000 lbs. I would assume that the upward force on the pivot would be at least 4550 lbs. I would also assume that there would be some sort of multiplication of force that would occur but I have no idea how to begin figuring that out.
I have attached a picture of what I have so far. The cylinder and foot are not drawn yet.