I have the textbook "Roark's Formula's for Stress and Strain," but it does not discuss the case of an oval-shaped frame under stress. For example, imagine we have a 100-ton press with the oval-shaped frame made of a material with a 100,000 PSI tensile strength and a 200 GPa modulus of elasticity, like this:
So here, imagine for example that the yoke is composed of two semi-circular bends connected, so the yoke is shaped like the link of a chain. The cross section of the yoke is, for the sake of argument 3 inches wide and 2 inches thick. Inside of the yoke we have a 100-ton hydraulic ram. When the press operates it will stress the yoke in two ways: (1) the straight parts of the frame will experience ordinary tension of 100 tons total, and 50 tons per member, and (2) stress the semicircular ends in a complex way.
I want to compute the strain on the frame, in other words, how much it will move given the situation above.
Do I need to use FEM to compute this, or can it be computed accurately with the ordinary strain formulas somehow?
I know how to compute the strain on the up and down members, but computing the strain on the arced part of the yoke I don't know how to do.