In Monte Carlo simulation such as the measurement uncertainty evaluation,it is often necessary to generate correlated multi-non-Gaussian random observations.

Based on the spirits of the relevant ISO guides, considering the detailed features of force measurements, we have studied the uncertainty evaluation methods for force measurements by force standard machines, force standard measuring instruments, load cells, force calibrating machines, pulling & compressing material testing machines, etc.

Based on the definition of uncertainty measuring and machining equipment capacity, the relation of them is given in the paper, and we take the results of uncertainty evaluation and machining equipment capacity together in order to judge the device capability of the example whether is quite up to the mark.

This paper introduces the definition, classification and sources of the measurement uncertainty, as well as the methods and steps of the evaluation of measurement uncertainty.