Mleo11
FEA analysis is needed to accurately find the deflection at 1 lb. At the same time the stresses need to be low enough for 10XE6 cycles which is basically infinite life.
Each point where the slot ends there is A high stress concentration which has a significant influence on the life cycle.
You didn't specify the desired slot width which affect how much wide each "spring" will have.
I assume you mean 17-7 condition C heat treated to CH900?
Modeling the many options and doing the analysis to find out how things (deflection, stresses, life cycle etc.) change with the thickness and load is a time consuming process.
I understand that you are designing a (solenoid?) valve, therefore, the spring deflection should be known from the flow requirements of the fluid. But at the same time the deflection is a function of the flow orifice diameter and the flow pressure. More than that, the valve (electromagnet) pulling force is the result of the orifice sealing diameter, the fluid pressure and the spring/s sealing forces. The valve opening and closing time response is a function of the forces, the plunger mass and distance movement. So, every thing is connected.
From your need to check the deflection at 1 lb for various metal thicknesses I understand that all other variables mentioned above are supposedly known and fixed. However, what will happen if the stresses needed to achieve 10XE6 cycles will dictate a deflection which will not allow the desired fluid flow? Then you will need to start all over again?