Turn the screw, watch the pomace compact and the juice run.
Square-thread power screw with a thrust collar: T = F·k, k = (dm/2)·tan(λ+φ) + μcrc, λ = atan(lead/(πdm)), φ = atan(μ). The plate presses the cake with F = P·A. Hand force at the lever end is T/L.
Juice drains like a first-order process: dV/dt = (V∞ − V)/τ, where the ultimate volume V∞ grows with the peak pressure (1 − e−P/P0) and grind efficiency, and τ grows with cake thickness squared and with pressure as the cake closes its pores. The cake height shrinks as air is squeezed out and juice leaves.
This is a simplified teaching model, identical to the 3D page, not a design guide. Virtual demonstration only — not instructions for building or operating a real press.