GD&T Tolerance Stack-up Analysis 3

Question 1

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

Accepted Answer

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

Answer

T_total = T1 + T2 + T3 + ... + Tn

Answer

T_total = (T1 × T2 × T3 × ... × Tn)^(1/n)

Answer

T_total = T1 × T2 × T3 × ... × Tn

Question 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?

Accepted Answer

±0.374 mm

Answer

±0.6 mm

Answer

±0.424 mm

Answer

±0.2 mm

Question 3

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

Accepted Answer

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

Answer

The measurement sensitivity of the inspection equipment used

Answer

The temperature sensitivity of the part material

Answer

The operator's ability to detect manufacturing defects

Question 4

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

Accepted Answer

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

Answer

It eliminates the need for incoming inspection of components

Answer

It guarantees zero defects in production runs

Answer

It reduces the total number of dimensions required on engineering drawings

Question 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?

Accepted Answer

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

Answer

There is a redundant or conflicting dimension on the drawing

Answer

The assembly will always have zero gap or interference

Answer

All tolerances in the assembly are equal in magnitude

Question 6

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

Accepted Answer

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

Answer

Minimum clearance only, to ensure the parts can be assembled

Answer

Maximum clearance only, to prevent looseness in service

Answer

Only the nominal dimensions with no tolerance consideration

Question 7

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

Accepted Answer

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

Answer

Worst-case total is always smaller than RSS total

Answer

Worst-case total equals the RSS total for any number of tolerances

Answer

RSS total is always larger than the worst-case total