To calculate the force exerted on a pipe by a shrunk fit stainless steel ring, key parameters include the inner and outer diameters of both the pipe and the ring, as well as their respective temperatures during the fitting process. The pipe has an outer diameter of 127mm and an inner diameter of 115mm, while the ring has an outer diameter of 133mm and an inner diameter of 126.5mm. As the ring cools after being heated, it contracts and exerts tensile stress, while the pipe experiences compressive stress. Differential thermal expansion must also be considered due to the differing thermal properties of the materials involved. Accurate calculations require knowing the initial and final temperatures of the ring and assuming the pipe remains at room temperature.