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2D Tolerance Stack-Up Cheat Sheet.

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2D Tolerance Stack-Up Cheat Sheet.


Tolerance analysis is like quality control math for assemblies. It checks how all those tiny part variations add up - so even when components aren't perfect, the final product still works like a charm.

Good tolerance analysis ensures that:

Things keep working - even when parts aren't perfect
Rework is cut down by catching fit issues early
Cost and precision is balanced - no need to over-engineer
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Run this analysis in RD8

Instead of relying on gut feeling or Excel-based stack-ups, RD8 gives your team a modern, visual, and collaborative piece of software to manage variation. Whether you're designing precision mechanisms or high-volume components, we help you brings clarity to complex assemblies - and avoid costly rework, ensure functionality, and speed up development cycles.

2D Tolerance Stack-up Analysis

1. Make a Clear Illustration

• Clearly mark the Point of Interest (POI)
• Make sure there are no unnecessary overconstraints in the design.

2. Identify the Stack

• Identify the tolerance stack / tolerance chain

3. Set up the Calculation

• Use trigonometry to set up calculations
• Calculate the nominal value
• Define your target values (mean, and acceptable range of variation)

4. Tolerance analysis
Try RD8 Software to let it do the hard part!

• Add tolerances to the calculation
• Identify the worst case combination of the dimensions
• Calculate the worst case or other methods
• Convert the tolerance window to a +/- tolerance by dividing by 2

5. Evaluate

• Compare to the target
• Make a clear conclusion: pass or fail

the three optimisation principles

Shorten Tolerance Stacks

• Reduce the number of parts in the stack
• Reduce number of parameters in the stack

See picture or download cheat sheet for examples

Maximise distances

• Short distance between alignment features
• Maximum distance between alignment features

See picture or download cheat sheet for examples

Optimise fits

• Obtain an Interface without play
• Obtain an Interface with local fit

See picture or download cheat sheet for examples

two types of ?

Calculating rotation from clearance fits

Type A: Angle
• Calculates angular misalignment at a POI
• Clearance fits create rotation

Main Idea
• Linear clearance becomes angular error
• Rotation depends on clearance and feature spacing

Key formula


Terms
• CLR1, CLR2: Radial Clearances
• x1: distance between features
• θ: rotation angle

Calculating offset with gearing

Type B: Displacement

• Calculates offset at a point of interest
• Clearance between two features creates rotation/hilt

Main Idea

• Small clearances can be amplified by geometry
• The further the POI is form the supports, the larger the offset

Key formula


Terms

• CLR1, CLR2 represents the two clearances
• x1 is the distance between features
• x2 is the distance to POI

Try The Napkin tools

Often the most important decisions and estimates is made on the back of napkin. Napkin Tools is set of early stage tools and calculators intended for early concept stage calculations - so to speak - that can be made on the back of a napkin.

Contact and Clearance Calculator

Laptop displaying a software interface showing a list of mechanical tolerances with status indicators and a 3D model of a mechanical component on the right.
Make quick and rough estimates for tolerance stacks.
See our contact and clearance calculator

Snap Fit Calculators

3D CAD model showing two yellow blocks with a gray mechanical lever and green component between them.
Quick estimates for design of snap fits.

Ensure your design is feasible before you model.
Go to Snap Fit Calculator

Spring Calculator

Laptop displaying a software interface showing a list of mechanical tolerances with status indicators and a 3D model of a mechanical component on the right.
Dimension springs with minimum variation and desired safety factors. Test up to 2.5 million combos in seconds!
Go to the Spring Calculator

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