Calculations
How to Calculate Fixture ROI, Utilization, and Gauge R&R for Workholding
A worked walkthrough of the core fixture and gauge formulas: ROI payback, utilization percent, changeover time, and Gauge R&R, with every input sourced and every number shown.
Start with fixture ROI, because it justifies every other number. The formula is payback months equals fixture build cost divided by monthly savings, where monthly savings equals cycle time saved per part times parts per month times labor plus machine rate. Say a dedicated fixture costs 8,400 dollars, trims 2.4 minutes per part, and you run 1,600 parts a month at a combined rate of 1.05 dollars per minute. Monthly savings equals 2.4 times 1,600 times 1.05, which is 4,032 dollars. Payback equals 8,400 divided by 4,032, or 2.08 months. Run the same inputs through the Fixture ROI calculator to test volume swings before you commit capital.
Fixture utilization tells you whether that capital is actually working. Utilization percent equals actual spindle-loaded hours on the fixture divided by available scheduled hours, times 100. Pull loaded hours from machine cycle logs or MES, not from a planner's estimate. If a fixture logged 118 productive hours against 160 scheduled hours in a month, utilization is 118 divided by 160, times 100, which is 73.75 percent. Anything you compute below 60 percent usually means the fixture is dedicated to a part that no longer runs at volume. The Fixture Utilization calculator lets you roll several fixtures into one weighted average.
Changeover time drives how often you can afford to switch fixtures, so measure it as a real distribution, not a single lucky run. Changeover minutes equals last-good-part timestamp on the old job subtracted from first-good-part timestamp on the new job. Time five to ten changeovers and take the median, since one clean run understates reality. If your five samples are 22, 27, 31, 24, and 40 minutes, the median is 27 and the mean is 28.8. Use the median for planning. The Fixture Changeover Time calculator separates internal steps, done while stopped, from external steps you can prep in advance.
Gauge repeatability, the core of Gauge R&R, quantifies whether your inspection fixture can even trust its own readings. Repeatability equals 5.15 times the equipment standard deviation, expressed as a percent of tolerance. Have one operator measure ten parts three times each, compute the standard deviation of the repeated readings, multiply by 5.15, then divide by the total tolerance band. If sigma is 0.0009 inch and tolerance is 0.030 inch, repeatability equals 5.15 times 0.0009 divided by 0.030, times 100, which is 15.45 percent. The Gauge Repeatability Score calculator handles the multi-operator reproducibility term as well.
Fixture capacity sizing prevents both starvation and wasted steel. Required fixtures equals total demand cycle-minutes per shift divided by available fixture-minutes per shift, rounded up. If a part needs 6.5 minutes of clamped time, demand is 260 parts per 8-hour shift, and each fixture offers 460 usable minutes after breaks, then demand-minutes equals 260 times 6.5, which is 1,690, and required fixtures equals 1,690 divided by 460, or 3.67, rounded to 4. The Fixture Capacity calculator adds a buffer factor of 10 to 15 percent for maintenance downtime so you do not size to a perfect world.
Inspection fixture workload uses the same shape but in gauge terms. Workload hours equals parts inspected times measurement time per part, divided by 60. If a CMM inspection fixture handles 340 parts a day at 4.2 minutes each, workload equals 340 times 4.2 divided by 60, which is 23.8 hours of demand against, say, two shifts of 15 available hours. That gap of 8.8 hours tells you a second fixture or a faster routine is overdue. The Inspection Fixture Workload calculator flags when demand crosses available capacity.
One unit discipline saves most of the errors here. Keep time in one base, usually minutes, before you multiply by a per-minute rate, and keep dimensional sigma in the same unit as tolerance, either both inches or both millimeters. Mixing 0.0009 inch against a 0.76 mm tolerance quietly inflates repeatability by a factor of 25. Round only at the final step. Carry four significant figures through intermediate math on ROI and R&R so a 2.08-month payback does not drift to 2.3 after three roundings.
Published 2026-07-01.