top of page

TOLERANCE STACK ANALYSIS

Precision Engineering Tolerance Stack Analysis

Ensuring Reliability for Your Designs

Welcome to Tolerance Stack Expert, your go-to consultants for Worst Case, RSS, and Monte Carlo assessments in the aerospace, automotive, and precision manufacturing industries.

Image by Javier Vermaas

About Our Expertise

Image by Amir Balam

In the world of high-precision engineering, tolerance stack analysis is crucial to ensuring that your designs meet functional and manufacturing requirements. At Tolerance Stack Expert, we specialize in comprehensive tolerance analysis services - Worst Case, Statictical (RSS) and Monte Carlo - that help companies mitigate risk, improve manufacturability, and reduce costly design errors.

 

With our expertise in mechanical engineering and tolerance stacks, we provide actionable insights to help your team optimize designs for real-world production.

Conducting tolerance analyses to British Standards (BS) and International Organization for Standardization (ISO) drawing standards ensures precision, consistency, and compliance across engineering and manufacturing projects.

Services

Our Offerings

Worst Case Analysis

Comprehensive Assessments

Worst Case Analysis (WCA) is the most conservative tolerance stack analysis method. It considers the extreme limits of each component’s tolerance range and assumes they all align in the worst possible way, either maximising or minimising the overall assembly dimension.

In Worst Case Analysis, all tolerances are stacked linearly, adding them together without accounting for statistical probabilities. This approach ensures that even under the worst possible alignment of tolerances, the assembly will meet specifications.

Pros:

  • Provides an absolute guarantee that the assembly will function as required if tolerances are met.

  • Ideal for high-risk, safety-critical applications.

Cons:

  • Often results in over-engineering, as it requires stricter tolerances to account for all worst-case scenarios.

  • Leads to higher production costs due to the need for more precise tolerance controls.

 

Worst Case Analysis is ideal when failure is not an option, and there is little room for error, even if it increases production costs.

RSS Assessment

Reliability Studies

Root Sum Square Analysis (RSS) is a statistical method that calculates the likely variation of an assembly, rather than the absolute worst-case scenario. It assumes that part tolerances are normally distributed and independent, providing a less conservative estimate than Worst Case Analysis.

RSS squares each component’s tolerance, then sums these values and takes the square root of the result. This approach estimates the probable tolerance range based on probability, often yielding a smaller overall stack than the worst-case scenario.

Pros:

  • Typically results in a tighter assembly tolerance than Worst Case Analysis, which can save on production costs.

  • Suitable for parts where variations follow a normal distribution and are relatively minor.

Cons:

  • Assumes independent tolerances and a normal distribution, which may not hold true in every assembly.

  • Does not guarantee a successful build in all cases, as it relies on statistical probability. Generally it's considered optimistic.

RSS is commonly used in non-critical applications where small variances are acceptable and where statistical probability provides an accurate representation of real-world assembly tolerances.

Monte Carlo Simulation

Simulation Expertise

Monte Carlo Analysis (MCA) is a simulation-based method that uses random sampling to calculate the likely distribution of tolerance stack-ups in an assembly. This method generates a large number of virtual assemblies with randomly varied part dimensions within their tolerance ranges, then calculates the resulting distribution of the final assembly dimension.

Using specialised code, thousands of simulations are run to randomly sample tolerances across their ranges. The results show a range of possible outcomes, typically displayed in a histogram, providing insight into the probability of each potential stack-up dimension.

Pros:

  • Highly accurate for complex assemblies with interdependent parts and non-standard distributions.

  • Allows for a visual interpretation of potential outcomes and probability distributions, aiding in decision-making.

Cons:

  • Requires specialised software/code and quite often, significant computational power.

  • Results may not always be easy to interpret without statistical expertise.

Monte Carlo Analysis is ideal for complex assemblies where part tolerances are interdependent or non-normally distributed, and where detailed probability distributions are required for design and risk assessment.

Considered a good compromise between Worst Case Analysis and RSS.

About Us

Engineering Expertise You Can Trust
At Tolerance Stack Expert - in partnership with Progressive Prototypes Ltd - we’re dedicated to helping engineers and manufacturers optimize their designs with thorough, accurate tolerance stack analysis. With over 15 years experience in mechanical engineering & product design, we’ve helped businesses across various industries improve their product reliability, reduce manufacturing costs, and avoid costly design errors.
White on Transparent.png
Ready to ensure your designs meet production standards? Reach out to us today for a consultation, and let’s discuss how we can assist with your tolerance stack analysis needs.

Contact us

bottom of page