Masonry Anchor Embedment for a Tension (TMS 402 ASD)
The inverse of the masonry-anchor-bolt tile: the effective embedment that makes the TMS 402 masonry-breakout capacity equal a required tension, lbe = sqrt(T / (1.25 pi sqrt(f'm))). 5,000 lb in 1,500 psi masonry needs ~5.7 in of embedment; the steel branch Bas = 0.6 Ab fy is a separate ceiling (a bolt too small yields no matter how deep). Edge distance reduces the cone. A design aid; the engineer of record's stamped design governs.
Formula and source
lbe = sqrt( T / (1.25 x pi x sqrt(f'm)) ), the masonry-breakout branch Bab = 1.25 x (pi lbe^2) x sqrt(f'm) solved for the effective embedment; steel ceiling Bas = 0.6 x Ab x fy checked separately.
TMS 402 (Building Code Requirements for Masonry Structures, ACI 530 / ASCE 5) allowable-stress anchor-bolt tension provisions, as compiled in the Masonry Designers' Guide and CMHA TEK notes, by name.
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