Practice Test Geeks(GD&T) Geometric Dimensioning and Tolerancing Certification Practice Test
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Tolerance Stack-up Analysis Flashcards

7 cards from real GD&T practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. What is the correct formula for RSS (Root Sum Square) tolerance analysis?

    Answer: T_total = √(T1² + T2² + T3² + ... + Tn²)

    RSS combines tolerances by squaring each, summing all the squares, and taking the square root, yielding a smaller combined tolerance than simple arithmetic addition.

  2. A three-part assembly has dimension tolerances of ±0.2 mm, ±0.3 mm, and ±0.1 mm. What is the RSS total tolerance?

    Answer: ±0.374 mm

    RSS calculation: √(0.2² + 0.3² + 0.1²) = √(0.04 + 0.09 + 0.01) = √0.14 ≈ ±0.374 mm.

  3. What does a 'sensitivity factor' (influence coefficient) represent in an advanced tolerance stack-up analysis?

    Answer: A multiplier indicating how a dimension's variation influences the assembly gap output

    Sensitivity factors indicate how a unit change in a contributing dimension affects the output gap; they are +1 or -1 for simple linear stacks but can differ for angular or complex geometric relationships.

  4. Which key benefit does tolerance stack-up analysis provide for manufacturing cost optimization?

    Answer: It identifies which tolerances can be relaxed without affecting functional assembly requirements

    Stack-up analysis identifies which tolerances most significantly affect assembly function, allowing engineers to selectively relax less critical tolerances to reduce manufacturing costs.

  5. In a correctly constructed loop diagram for stack-up analysis, the dimension chain must form a closed loop. What does successful closure of the loop indicate?

    Answer: All contributing dimensions have been identified and the loop is complete for analysis

    In a correctly set up loop diagram, the dimension chain must close back on the starting point, confirming that all contributing dimensions have been identified and the analysis is complete.

  6. For a press-fit application, which tolerance conditions must be simultaneously controlled in a stack-up analysis?

    Answer: Both maximum interference (prevent overstress) and minimum interference (ensure adequate holding force)

    For press-fit designs, the stack-up must control both the maximum interference (to prevent part damage during assembly) and minimum interference (to ensure adequate holding force for function).

  7. What is the relationship between the worst-case (arithmetic) total tolerance and the RSS total tolerance for the same set of contributing dimensions?

    Answer: Worst-case total is always equal to or larger than the RSS total

    The worst-case (arithmetic) total is always equal to or larger than the RSS total because arithmetic addition of tolerances always equals or exceeds the square-root-of-sum-of-squares value.