Bolt Combined Tension and Shear (AISC 360 J3.7)
The tension a bracket, hanger, or moment end-plate bolt has left after its shear: AISC J3.7 reduces the nominal tensile stress F'nt = 1.3 Fnt - (Fnt/(phi Fnv)) frv, capped at Fnt. A 3/4 in A325 at 20 ksi required shear drops from 29.8 kip pure tension to 24.1 kip; a fully-sheared bolt floors at zero tension - the reduction a straight tension check misses. Bearing-type interaction (slip-critical is J3.9); the shear/bearing is the separate bolt-shear-bearing tile. A design aid, not the engineer of record's stamped design.
Formula and source
k = (LRFD) Fnt/(0.75 Fnv), (ASD) 2.00 Fnt/Fnv; F'nt = min(1.3 Fnt - k frv, Fnt) (floored at 0); available tension = 0.75 F'nt Ab (LRFD) or F'nt Ab/2.00 (ASD).
The AISC 360-22 Section J3.7 reduced tensile stress for a bearing-type bolt in combined tension and shear, with the Table J3.2 nominal stresses, by name.
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