* Some courses can also be taught WebLive

Tolerance Stack Analysis Using GD&T

Engineering Design Courses
  • Course:Tolerance Stack Analysis Using GD&T
  • Course ID:TOL-GDT Duration:2 days Private Class
  • Available as a private, customized course for your group at your offices or ours and in some cases as a WebLive(TM) class.

  • Download Course Description (PDF)

Course Outline

  • Introduction
    • What are tolerance stacks?
    • Fundamental rules and assumptions
    • Review of geometric dimensioning and tolerancing
  • Virtual Condition
    • Definitions: local size vs. envelope; feature of size
    • Material conditions: MMC, LMC, RFS
    • Virtual condition for internal and external features
    • Practice exercises
    • Resultant condition
  • Stacks with Coordinate Dimensions
    • Basic steps in calculating a stack
    • Review of the stack form
    • Examples of single-part stacks
    • Practice exercises
  • Stacks with Runout and Concentricity
    • Review of runout and concentricity
    • Transferring tolerances to the stack form
    • Examples and exercises
  • Position Tolerances in Stacks
    • Review of position RFS
    • Applying position in the stack form
    • The “bonus” tolerance concept
    • Factoring bonus tolerance into the stack form
    • Examples and exercises
    • The “shift” tolerance concept
    • Factoring shift tolerance into the stack form
    • Examples and exercises
  • Stacks with Profile
    • Review of profile of a line and profile of a surface
    • Bilateral and unilateral tolerancing
    • Examples and exercises
  • Stacks with Form Controls
    • Review of flatness, straightness, circularity, cylindricity
    • Rule #1: Size controls form
    • “To” or “thru” rule
    • “Adjacent” or “offset” rule
    • Filling in the stack form
    • Examples and exercises
  • Stacks with Orientation Controls
    • Review of parallelism, perpendicularity, angularity
    • Filling in the stack form
    • Examples and exercises
  • Statistical Methods
    • When to justify statistical methods
    • Brief statistics review
    • The “root sum square” (RSS) formula
    • Modified RSS formulas (Bender and Gilson formulas)
    • Monte Carlo simulation
  • Wrap-up and Review of Drawings
    • Review sample drawings
    • Evaluations
Course Overview

Course in a Nutshell

This course teaches a methodical approach to calculating dimensional stacks for both parts and assemblies. Using a simple spreadsheet format, participants will learn how to determine the stack path and then transfer the numbers in the correct sequence to be calculated for maximum and minimum values. Our comprehensive approach factors in both traditional tolerances and geometric tolerances (GD&T), including the elusive “bonus” tolerance. Other topics include: calculating the resultant condition, knowing when to ignore a tolerance, and how to implement a statistical approach to stacks (root-sum-square and its variants).

If sample prints are provided, the course can be taught as a hands-on workshop at no added cost.


Customize It!

Based on the experience of your group, and the types of products you work with, we can customize the course to your specific needs, including any existing formats you have for performing stacks. We also encourage participants to bring actual prints/drawings to the course for discussion and sample calculations.

While the course is mainly designed around the ASME Y14.5 standard, it can be customized to accommodate other standards, such as internal company standards for your prints.


Learn How To

  • Avoid “winging it” when performing stacks
  • Determine which dimensions to include in a stack
  • Tabulate the dimensions in the proper order
  • Factor in geometric tolerances, including “bonus” and “shift”
  • Perform stacks for assemblies, including any clearances
Audience / Prerequisites

Aimed At

This course is aimed at those involved in mechanical design, manufacturing, or inspection who need to perform calculations from drawings, either in creating new designs or verifying dimensional data from prints. Product engineers, manufacturing engineers, quality managers, and CAD designers will all benefit.



Participants should have a basic knowledge of blueprint reading. Knowledge of GD&T is also strongly recommended.