GD&T for Square Tubing

usage of position and perpendicularity tolerances for holes

Drawing

M3-5 Tolerances in Inches

  • Bilateral: +0.008/-0
  • True Position: 0.0167 @ MMC
  • Perpendicularity: 0.012

  • Bilateral Tolerance

  • We use nominal X.00 mm screw sizes
  • We dimension our clearance holes for X.30 mm
  • We actually use X.50 mm drill bits
  • This gives us 0.20 mm = 0.008 inches of tolerance

  • True Position

  • Assuming we use X.30 mm as our clearance hole and we have a reference plane at y = 0
  • We don't want our holes to be misaligned. We use a clearance tolerance of 0.30 mm. Our position tolerance is a 0.3 diameter circle; this means if one hole is at y = 3.0 and one is at y = 3.30, our holes won't be mis-aligned. Our upper bound for the y=3 hole will be 3.15 and the lower bound for the y=3.30 hole will be 3.15. This gives us a true position tolerance of sqrt{0.3\^{2}+0.3\^{2}} mm = 0.0167 inches

  • Maximum Material Condition

  • We want to ensure that screws and hole never interfere, or limit the amount of interference between the parts when they are at their worst tolerances, so MMC is called out
  • As a part gets closer to the MMC, the constraints become tighter andthe hole must be closer to its position. But, if the hole is a bit larger (but still in spec), it can stray from its true position further and still allow proper function (like a bolt passing though) → ensures we always have clearance since our MMC condition is on our true position tolerance and gives us bonus tolerance as we move closer to LMC

  • Perpendicularity

  • Gauge Ø (pin gauge) = Min Ø of hole (MMC) - Perpendicularity Tolerance
  • Our pin size is MX screw and minimum diameter (MMC) is MX.3 mm. This gives us a perpendicularity tolerance of 0.3 mm or 0.012 inches