The pressure cooker pictured here consists of a light pressure vessel with a heavy lid of weight W. When the lid is secured, the vessel is filled with a hot pressurized gas of pressure p. After some time, the vessel warms to a steady state temperature Tf from an initial temperature of To . The thin-walled cylindrical cooker has a radius R and height L, thickness t, and material properties E, ?, and ?. There is a square sensor on the surface as shown. It has side length s before the weight W, pressure p, or temperature change Tf -To are applied.

W W T=T T=T