Steel Project Index / Detailer Tools / Bolt circle · anchor layout
N bolts on a circle · X-Y coordinates · chords

Bolt circle / anchor layout

X-Y coordinates for every bolt on a circle — from bolt count, bolt circle diameter, and start angle — plus the angle between bolts and the chord length for field layout.

Formula & assumptions

X = (BCD/2)·cosθ, Y = (BCD/2)·sinθ, θ = start + i·(360/N), from center (0,0). Chord = BCD·sin(180/N). Layout aid.

What this calculator does

Enter how many anchor bolts sit on a circle, the bolt-circle diameter and the angle of the first bolt; the page lists the X-Y coordinate of every bolt from the circle's center, the angle between bolts, and the chord — the straight tape distance between adjacent bolts that the field crew actually lays out.

Worked example

8 bolts on a 24" bolt circle, first bolt at 0°: bolts every 45°; bolt 1 at (12.000, 0.000), bolt 2 at (8.485, 8.485), bolt 3 at (0.000, 12.000). Chord between adjacent bolts = 24 × sin(22.5°) = 9.184".

Common questions

Where is the origin?
The center of the bolt circle, X to the right, Y up. Rotate the whole pattern by changing the start angle; 0° puts the first bolt on the +X axis.
Does it check bolt spacing or edge distance?
No. It is a layout aid: coordinates and chords. Minimum spacing and edge distance come from the anchor design and the base plate — check them separately.
Why give the chord as well as the coordinates?
A template maker and a field crew set bolts with a tape between bolts, not from an origin. The chord is the number they need; the coordinates are for the drawing.

Verify with project engineer, contract documents, and applicable code/specification. Estimating aid only — not a design tool, not legal advice.

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