Runout you measure at the toolholder is not the runout your cutting edge sees. A small angular tilt at the gauge line is amplified along the length of the tool, so a long, slender tool tip can swing far more than the holder spec suggests. This calculator projects a rated holder TIR out to the tool tip and compares common holder classes so you can choose the right one for a precision job.
How it works
The rated TIR is modeled as a centering offset plus an angular tilt measured over a reference length. Tilt projects linearly with overhang:
tilt angle = ratedTIR / referenceLength (small-angle slope)
tip TIR = centeringOffset + tilt × overhang
A conservative split assumes the rated TIR is dominated by tilt over its reference length, so projecting that slope to a longer overhang grows the tip TIR proportionally. Shorter, stubbier tools see less amplification; long reach tools see much more.
Example and notes
An ER32 holder rated at 0.0003 in TIR over a 1 in gauge reference, holding a tool with 2 in of overhang, projects to roughly 0.0006 in at the tip if the error is tilt-dominated. A shrink-fit holder rated 0.0001 in over the same reference projects to about 0.0002 in at the same overhang, a clear advantage for reaming or fine boring. Keep overhang as short as the part allows, clean the collet bore and tool shank, and verify the final assembly with a tenths indicator rather than trusting any catalog number outright.