Drill Point Depth Calculator

Work out drill point length and the true depth to programme, so a blind hole reaches full diameter and a through hole actually breaks out.

How to use this calculator

  1. 1Decide which depth you actually care about: full diameter for a blind hole, breakout for a through hole.
  2. 2Programme the tip depth the page gives, since that is what the machine and the depth stop control.
  3. 3For a tapped blind hole, add the full thread depth plus a couple of pitches of run-out before working out the drill depth.
  4. 4Watch the depth to diameter ratio - past about three diameters, chips stop clearing on their own.

How the calculation works

Point length = (diameter / 2) / tan(point angle / 2) Blind hole: tip depth = full diameter depth + point length Through hole: tip depth = thickness + point length + clearance From a drilled depth: full diameter = tip depth - point length
Point angle
The included angle of the drill point. 118 degrees standard, 135 for split points and tough material, 90 or 60 for spotting
Point length
From the outer corners of the lips down to the tip. 0.3004 x D at 118 degrees, 0.2071 x D at 135
Tip depth
What the machine actually controls. Every depth in a programme or on a depth stop refers to the tip

The 0.3 x D rule of thumb for a 118 degree drill is very nearly exact - the true figure is 0.30043.

A 135 degree point is about a third shorter at 0.2071 x D, which is worth having in thin material or where depth is tight.

Breakout clearance is separate from the point length. The point has to be clear of the far face and then the outer corners have to finish cutting.

Worked example

A blind hole that has to be an inch deep

  1. 1.A 118 degree point on a 0.500 in drill is (0.25) / tan(59°) = 0.25 / 1.6643 = 0.1502 in long.
  2. 2.To get 1.000 in of full diameter, the tip has to reach 1.000 + 0.1502 = 1.1502 in.
  3. 3.Programme 1.000 and you get 0.850 in of full diameter - 15% short, and the shortfall is right where the deepest threads would go.
  4. 4.The cone is 13% of the total travel and produces no usable hole at all.

Result: Programme 1.1502 in to get 1.000 in of full diameter

The same hole with a 135 degree split point

  1. 1.A 135 degree point is (0.25) / tan(67.5°) = 0.25 / 2.4142 = 0.1036 in - about a third shorter.
  2. 2.So the tip only has to reach 1.1036 in for the same 1.000 in of full diameter.
  3. 3.That is 0.047 in less travel, which matters when the hole bottoms near something, or in a thin part.
  4. 4.It also starts without a spot drill, which is usually the bigger reason to choose it.

Result: 1.1036 in - the shallower point saves 0.047 in of depth

Drilling through an inch of plate

  1. 1.A 1.000 in drill at 118 degrees has a 0.3004 in point.
  2. 2.To break out cleanly the tip must go 1.000 + 0.3004 = 1.3004 in, plus a sixteenth of clearance: 1.3629 in.
  3. 3.Programming the 1.000 in thickness leaves the outer corners still buried, and the drill tears through a ring of uncut metal rather than cutting it.
  4. 4.That is where the bang at breakthrough comes from, along with the burr and the occasional broken drill.

Result: 1.3629 in of travel for 1.000 in of plate

Working out what an existing hole actually is

  1. 1.A 0.375 in drill at 118 degrees has a 0.1127 in point.
  2. 2.Drilled to 0.750 in at the tip, the full diameter portion is 0.750 - 0.1127 = 0.6373 in.
  3. 3.So a hole that was called "three quarters deep" gives just under 0.64 in of usable depth.
  4. 4.At 1.7 diameters deep it is comfortable for a jobber drill with no pecking needed.

Result: 0.6373 in of full diameter from a 0.750 in hole

The cone at the bottom of every drilled hole

A twist drill does not cut a flat bottomed hole. Its two lips meet at an angle - 118 degrees for the standard general purpose grind - and they leave behind a conical impression whose depth is fixed by that angle and the diameter.

The geometry is a single right triangle. The outer corner of the lip is half a diameter from the axis, and the tip sits below it by that half diameter divided by the tangent of half the included angle. At 118 degrees that comes out at 0.30043 times the diameter, which is why the shop rule of "about three tenths of the diameter" is so reliable - it is very nearly exact.

Everything else on this page is a consequence. The machine controls where the tip goes; the useful hole starts a point length above it. Whether that matters depends on which end of the hole you care about.

Blind holes come up short

Ask for a hole an inch deep, programme an inch, and you get 0.85 inches of full diameter from a half inch drill. The remaining 0.15 is a cone that narrows to nothing.

For most clearance holes nobody notices. For a tapped hole it matters a great deal, because the shortfall lands exactly where the deepest threads would have been - and those are the threads someone specified a depth for in the first place. A tap run into a hole that is short simply bottoms, and either the tap breaks or the operator backs off and the thread is shallower than the drawing asks.

The habit worth forming is to work backwards. Decide the full thread depth needed, add a couple of pitches for the tap's chamfer to run out into, and that is the full diameter depth. Then add the point length, and that is the number to programme.

Through holes need more than the thickness

The mistake here is more consequential than the blind hole one, because it damages tools rather than just parts.

To break through an inch of plate with an inch drill, the tip has to travel 1.300 inches before the outer corners of the lips reach the far face - and then a little more before they finish cutting. Programme the material thickness and the drill is still buried when the programme says it is finished. What happens next is that the remaining thin ring of metal is torn out rather than cut, usually with a bang, a poor exit burr, and a shock load on a tool that is at its most vulnerable.

The breakout moment is genuinely the worst part of a drilling cycle. The material ahead of the point has thinned to nothing and lost its support, so it deflects instead of shearing, and the drill can grab and pull itself into the work. On a drill press with a loose quill this is how bits snap. A generous clearance past the calculated depth is cheap insurance, and slowing the feed for the last part of the cut is cheaper still.

Point angle is a real choice

The 118 degree standard is a compromise that has been around long enough to look like a law of nature. It is not.

A 135 degree point is shallower, so it wastes less depth, and it is usually supplied as a split point - the web is thinned and relieved so the drill starts on its own rather than skating. That self centring is generally the reason to choose it, and it removes the need for a separate spot drill on a lot of work. It also spreads cutting over a longer lip, which helps in tough and work hardening materials. The cost is thrust: a shallower point pushes harder for the same feed, so it wants a machine that can hold the work still.

Shallower angles still - 90 and 60 degrees - are for spotting and chamfering rather than depth. And there is a subtlety about combining them worth knowing: a spot drill should have a *wider* included angle than the drill that follows it, so the drill's outer corners contact first and centre it. A spot narrower than the drill lets the drill tip land inside the cone with its corners free, which is exactly the wandering the spot was supposed to prevent.

What this assumes, and where it stops

Assumptions

  • A standard two-lip conical point ground symmetrically about the axis.
  • Depth is measured to the drill tip, which is what machines and depth stops control.
  • The material surface is flat and square to the drill. An angled or curved entry changes both the depth and the tendency to wander.
  • Breakout clearance is a user allowance rather than a calculated figure.

Limitations

  • It does not model hole diameter. Drills cut oversize by a few thousandths, which is a separate matter from point geometry.
  • Peck depth suggestions are broad guidance. Actual chip clearing depends on material, coolant, flute form and how the chips break.
  • It does not cover parabolic flute, gun or coolant-through drills, which have their own depth capabilities.
  • Spot drill and drill cone interaction is described but not computed - the overlap depends on both angles and the spot depth.
  • Thrust force and the breakout grab risk are not calculated.

Common questions

How long is a 118 degree drill point?

0.30043 times the diameter, so the shop rule of "three tenths of the diameter" is almost exact. A half inch drill has a 0.150 in point, a one inch drill 0.300 in. A 135 degree point is shorter at 0.2071 times the diameter.

How deep do I drill for a 1 inch deep hole?

Add the point length. For a half inch 118 degree drill that is 1.000 + 0.150 = 1.150 in to the tip. Programme 1.000 and you only get 0.850 in of full diameter - which for a tapped hole is exactly the depth the deepest threads needed.

How much extra do I need to drill through a plate?

The point length plus a clearance. Through one inch of plate with a one inch drill you need 1.000 + 0.300 = 1.300 in before the outer corners reach the far face, plus about a sixteenth so they finish cutting - call it 1.36 in of travel.

Why does my drill bang and grab as it breaks through?

Because the material ahead of the point thins to nothing and loses support, so it deflects rather than shearing, and the drill can pull itself into the work. Programming only the material thickness makes it worse - the corners are still buried and the last ring gets torn out. Give clearance past the calculated depth and slow the feed for the exit.

Should I use a 118 or a 135 degree drill?

135 as a split point if you want it to start without a spot drill, if depth is tight, or if the material is tough or work hardening. 118 for general purpose work and where thrust is limited, since a shallower point pushes harder for the same feed.

Sources

Formula and content last reviewed on .

Results are estimates for information only, not professional advice.

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