$$T_assy = \sqrt\sum_i=1^n (C_i \cdot T_i)^2$$
Unlike the worst-case (linear) method which adds all tolerances arithmetically, RSS assumes that not all components will be at their extreme limits simultaneously. It is based on the statistical principle that variations follow a . rss method tolerance analysis
You can use this content for a blog post, training manual, or engineering reference. 1. What is RSS Tolerance Analysis? Root Sum Square (RSS) is a statistical method used to predict the overall variation in an assembly (a "stack-up") based on the tolerances of its individual components. $$T_assy = \sqrt\sum_i=1^n (C_i \cdot T_i)^2$$ Unlike the
$$T_assy = \sqrt0.20^2 + 0.10^2 + 0.15^2$$ $$T_assy = \sqrt0.04 + 0.01 + 0.0225$$ $$T_assy = \sqrt0.0725$$ $$T_assy = 0.269 \text mm$$ $$T_assy = \sqrt0
Where is a correction factor (typically 1.2 to 1.5 ), or using the Benderization method:
(17.00 \pm 0.27) mm