Bolt Shear + Bearing / Tearout Strength (AISC 360 J3)
The design strength of one bolt through a plate.
Example
You enter
- Bolt diameter d (in) 0.75
- Bolt area Ab (in²) 0.4418
- Bolt shear stress Fnv (ksi) 54
- Shear planes (1 single, 2 double) 1
- Connected ply thickness t (in) 0.5
- Material tensile strength Fu (ksi) 58
- Edge distance le (in) 1.5
- Hole diameter dh (in, 0 = d + 1/16) 0.8125
- Bolt pitch s (in, 0 to skip interior) 3
You get
- Bolt shear Rn 23.9 kip
- Edge bearing/tearout Rn 38.1 kip
- Rn gov 23.8572
- LRFD design phi*Rn 17.9 kip
- ASD allowable Rn/Omega 11.9 kip
Details, formula, and sources
The smaller of shear rupture (Rn = ns x Fnv x Ab) and bearing/tearout at the hole (1.2 lc t Fu, capped at 2.4 d t Fu). A 3/4 in A325-N bolt in single shear through 1/2 in A36 gives 17.9 kip design (LRFD) / 11.9 kip allowable - bolt-shear-governed. Thin the plate to 1/4 in and tearout takes over at 14.3 kip: the flip this check exists to catch. Standard holes, one bolt at one hole. A design aid, not a substitute for the engineer of record.
Rn_shear = ns x Fnv x Ab; bearing/tearout Rn = min(1.2 lc t Fu, 2.4 d t Fu) with lc = le - dh/2 (edge) or s - dh (interior); governing = min; phi Rn = 0.75 Rn; Rn/Omega = Rn/2.00.
AISC 360-22 §J3.6 (Table J3.2 Fnv) and §J3.10, by name; the material Fu and the bolt Ab / Fnv are standard tabulated values.
The bolt shear-rupture and bearing / tearout relations and their phi / Omega factors are stated in AISC 360 §J3; the Fnv values are in Table J3.2.
Estimate. AHJ and licensed professional govern.
Field names used by the API: d_in, ab_in2, fnv_ksi, nplanes, t_in, fu_ksi, le_in, dh_in, s_in, rn_shear, rn_edge, rn_gov, phi_rn, rn_asd
- Two limit states the per-bolt strength is the smaller of shear rupture (Fnv Ab) and bearing / tearout (1.2 lc t Fu, capped at 2.4 d t Fu)AISC 360-22 J3.6 / J3.10
- Clear distance lc edge bolt lc = le - dh/2; interior bolt lc = s - dh, in the line of the forceAISC 360-22 J3.10
- Factors phi = 0.75 (LRFD) and Omega = 2.00 (ASD); standard holes, one bolt at one holeAISC 360-22 J3