Rev.
1/2010 Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Finding the mean:
Calculate the sum and the difference between the
MMC and LMC and divide each by two
• Maximum Material Condition (MMC): The
maximum material condition of a feature of size
is the maximum amount of material within the
stated limits of size. For example, the maximum
shaft diameter or the minimum hole diameter.
• Least Material Condition (LMC): The least
material condition of a feature of size is the least
amount of material within the stated limits of
size. For example, the minimum shaft diameter
or the maximum hole diameter.
Tolerance Stack-Up Analysis
Example – Limit dimension
Ø20 – 22
MMC/LMC 22 22
LMC/MMC + 20 – 20
2 ) 42 )
2 2
21 1
Equal Bilateral
Tolerance (±) of part 21 ± 1
Tolerance Stack-Up Analysis
Example – Unequal bilateral tolerance
+1
Ø50
–3
MMC/LMC 51 51
LMC/MMC + 47 – 47
2) 98 )
2 4
49 2
Equal Bilateral
Tolerance (±) of part 49 ± 2
Tolerance Stack-Up Analysis
Boundaries
• Virtual Condition
The virtual condition of a feature specified at MMC is a
constant boundary generated by the collective effects of
the MMC limit of size of a feature and the specified
geometric tolerance.
Virtual condition calculations:
External Features (Pin) Internal Features (Hole)
MMC MMC
Plus Geo. Tol. @ MMC Minus Geo. Tol. @ MM
Equals Virtual Condition Equals Virtual Condition
Tolerance Stack-Up Analysis
• Resultant Condition
The resultant condition of a feature specified at MMC is
a variable boundary generated by the collective effects
of the LMC limit of size of a feature, the specified
geometric tolerance, and any applicable bonus tolerance.
Extreme resultant condition calculations:
External Features (Pin) Internal Features (Hole)
LMC LMC
Minus Geo. Tol. @ MMC Plus Geo. Tol. @ MMC
Minus Bonus Tolerance Plus Bonus Tolerance
Equals Result. Condition Equals Result. Condition
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Virtual and Resultant Conditions, Hole
VC/RC 54 54
RC/VC + 48 – 48
)
2 102 )
2 6
51 3
Equal Bilateral
Tolerance (±) of part 51 ± 3
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Virtual and Resultant Conditions, Pin
VC/RC 48 48
RC/VC + 42 – 42
)
2 90 2 ) 6
45 3
Equal Bilateral
Tolerance (±) of part 45 ± 3
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis
Tolerance Stack-Up Analysis