True Position Calculator

Use this true position calculator to assess whether the bore and shaft axis positions are within the tolerance limit.

Clear
True position deviation0.01 in2 × √(0.003² + 0.004²) — a diameter, not a radius
Radial error0.005 in
Deviation in x0.003 in
Deviation in y0.004 in
Direction53.13°from the x axis
Tolerance zone0.014 in diameter
Resultwithin tolerance71.4% of the zone used
Margin remaining0.004 in
In metric0.254 mm

The formula

countersink depth = (Dcs − Dhole) ÷ (2 tan(angle ÷ 2))

Four hole problems, one page

A countersink’s depth follows from simple trigonometry: the cone narrows from the countersink diameter to the hole diameter, and how fast depends on the half angle. Note that 82° is the imperial standard for flat-head screws while metric uses 90° — mixing them leaves the head either proud or sunk.

True position is the one people get wrong most often. GD&T expresses it as a diameter, so the deviation is twice the radial error: being 0.003 out in x and 0.004 in y is a 0.005 radial error but a 0.010 true position deviation.

The clearance and rivet figures are conventions rather than laws, but they are the conventions drawings assume: 1.5 diameters to an edge, 3 diameters between fasteners.