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TOLERANCE STACK-UP ANALYSIS
[for Plus and Minus and Geometric Tolerancing] per the ASME Y14.5 Standard

  James D. Meadows
300 pages, illustrated, color, 2nd Edition, published 2010 / $89.00
ISBN: 978 0971 440142

This text-workbook/answerbook explains the process of Tolerance Stack-Up Analysis for assemblies using both plus and minus and geometric tolerances. It explains pertinent aspects of Geometric Dimensioning and Tolerancing, then proceeds to teach a sound, logical, mathematically-reliable methodology for calculating tolerance stack-ups. This text is comprehensive, yet very easy to understand and follow from lesson to lesson - by James D. Meadows. 

This second edition is easier to understand, includes more discussion on what can go wrong, shows how to tell right from wrong stack-up routes, includes more on statistical analysis, reads smoother and adds information that eases the learning process. The terminology in this revision has been updated. It contains some color illustrations, including those of CAD models of assemblies. This text also makes a tremendous reference resource. For self-study or classroom use.

[Text Contents]
#1 THE BASICS
• Where to begin a stack
• Designating positive and negative routes
• What are you calculating?
• What dimensions are factors
• How to push the parts to create the worst case
• Which geometric tolerances are and are not factors
• Finding the mean
• Calculating boundaries for GD&T, MMC, LMC and RFS Material Condition modifiers
• Mean boundaries with equal bilateral tolerances

 

#2 STACK-UP ANALYSIS OF AN ELEVEN PART ASSEMBLY USING PLUS AND MINUS TOLERANCING
• The calculations
• The loop analysis chart
• The numbers analysis chart
• Finding MIN and MAX gaps

 

#3 VERTICAL vs. HORIZONTAL LOOP ANALYSES FOR FEATURES OF SIZE
• Where to start and end
• Graphing the loop
• Minimum and maximum gap analysis

 

#4 ASSEMBLIES WITH PLUS AND MINUS TOLERANCES
• Multiple dimension loops
• Positive and negative values
• Airspace vs. interferences

 

#5 FLOATING FASTENER FIVE PART ASSEMBLY ANALYSIS
• Resultant conditions
• Virtual conditions
• Inner and outer boundaries
• Mean boundaries
• Converting to radii
• Mixing widths and diameters

• Complex loop analyses with geometric dimensioning and tolerancing

 

#6 FIXED FASTENER ASSEMBLIES
• Calculating overall minimum and maximum assembly dimensions
• Mixing slots, tabs, holes and shafts
• Calculating minimum and maximum gaps within the assembly
• Projected tolerance zones for total runout as a factor
• Determining if geometric tolerances are a factor
• Ruling out features and patterns as factors

#7 A RAIL ASSEMBLY
• Threaded features
• Multiple geometric controls
• Projected tolerance zones
• Gaps with and without perpendicularity as a factor
• Calculating interference
• Theoretically vs. physically worst case possibilities
• When logic becomes an integral step
• Factoring in assembly conditions
• Maximum wall thickness vs. minimum airspace for assemblies
•How to determine the right routes                                                 
• What can go wrong and how to correct it
 

 

#8 SINGLE-PART ANALYSIS
• Two-single segment positional controls
• Switching datum reference frames and accumulating geometric tolerances
• Datum features at MMC (pattern shift)
• Profile tolerances
• Flatness
• Envelopes of perfect form at MMC
• Creating envelopes of perfect orientation at MMC
• MIN and MAX axial separation
• Datum planes vs. datum features
• Separate requirements and accumulating tolerance
• Tolerances in degrees; Trigonometric function introduction
• Composite positional tolerancing

 

#9 FIVE PART ROTATING ASSEMBLY ANALYSIS
• Position
• Perpendicularity
• Parallelism
• Profile
• Flatness
• Threaded holes with projected tolerance zones
• Mounted screws
• Part to part analysis (from two parts to an infinite number of parts
• Runout
• Total runout
• Concentricity
• Positional coaxiality
• Simplifying a complex assembly
• Determining assembly housing requirements
• Radial clearance MIN and MAX calculations
• Interference calculations

 

#10 TRIGONOMETRY AND PROPORTIONS IN TOLERANCE STACK-UP ANALYSIS
• Rocking datum features
• Constructing a valid datum
• Consideration of differing orientations from measurement to assembly
• An in-depth assembly analysis using trigonometric functions
• Computer programs vs. a personal analysis
• Vertical stacking as it effects horizontal housing requirements
• When stacked parts are not flat or parallel
• Formulae to calculate worst case fit conditions when trigonometry is a factor
• Using proportions and trigonometry to calculate fit conditions beyond the GD&T formulae

 

#11 STATISTICAL TOLERANCING
• Gaussian Frequency Curve
• Standard Deviations
• Plus or Minus 3 Sigma
• Root Sum Square Formula
• Steps to Calculate and Apply Statistical Tolerances
• Statistical Tolerancing Applied to Plus and Minus Toleranced Assemblies
• Statistical Tolerancing Applied to Geometric Toleranced Assemblies
• When Best to Allow Statistical Tolerances and When it Should Not Be Allowed
• The Logic of Statistical Tolerancing
• Modifying the Root Sum Square Formula with a Safety/Correction Factor
• Reintegrating the Statistical Tolerance into the Assembly

 

If you have any questions about GD&T training, books, workbooks, tests or DVDs,

please reach out to James D. Meadows & Associates, Inc., at (615) 924-3600. 

 

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