Adhesive-Anchor Epoxy Cartridge Volume
The epoxy to set adhesive anchors - the annular volume per hole and the cartridges: per hole = pi/4 x (hole^2 - bar^2) x embedment; cartridges = ceil(holes x per hole x (1 + waste) / cartridge volume). 40 holes of a 5/8 in bar in a 3/4 in hole at 6 in embedment is 0.81 in^3 each - about 3 cartridges with waste; a deeper 9 in embedment runs it to 4. The hole diameter comes from the adhesive manufacturer's instructions; distinct from the concrete-anchor capacity calcs.
Formula and source
per_hole_in3 = (PI/4) x (hole_dia_in^2 - bar_dia_in^2) x embed_in; total_in3 = holes x per_hole_in3 x (1 + waste_pct/100); cartridges = ceil(total_in3 / cartridge_in3).
Adhesive-anchor epoxy-volume identity by name (annular fill per hole, times the holes, over the cartridge volume); first-principles geometry.
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