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Steel DesignAISC 360-22 Chapter J, Sections J3.6 and J3.10

Bolt Group Shear Capacity

Determine the shear capacity of individual high-strength bolts (A325/A490 or F3125 Grade A/B) and bolt groups in bearing-type connections. Checks bolt shear rupture on the shear planes, bearing and tearout at bolt holes, and the overall bolt group capacity. Handles both single-shear and double-shear configurations with standard, oversized, or slotted holes.

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What this calculates

Single bolt nominal shear strength (Fnv·Ab), bearing strength per bolt (2.4dtFu), tearout strength per bolt (1.2LctFu), bolt group capacity as the sum of individual bolt capacities limited by the governing failure mode, and the overall demand-to-capacity ratio.

Inputs

Factored ShearVu[kip]

Total factored shear demand on the bolt group

Bolt Diameterdb[in]

Nominal bolt diameter

Number of Boltsn

Total number of bolts in the group

Number of Shear PlanesNs

Number of shear planes per bolt (1 or 2)

Nominal Shear StressFnv[ksi]

Nominal shear stress of bolt (e.g. 54 ksi for A325-N)

Connected Plate Thicknesst[in]

Thickness of the connected element

Plate Ultimate StrengthFu[ksi]

Ultimate tensile strength of the connected plate

Clear DistanceLc[in]

Clear distance from bolt hole edge to plate edge or adjacent hole

Outputs

Single Bolt Shear Capacityφrn,v[kip]

Design shear strength of one bolt

Bearing Capacity per Boltφrn,br[kip]

Design bearing strength at one bolt hole

Tearout Capacity per Boltφrn,to[kip]

Design tearout strength at one bolt

Bolt Group CapacityφRn[kip]

Total design shear capacity of bolt group

Demand-to-Capacity RatioDCR

Vu / φRn — must be ≤ 1.0

Methodology

Bolt shear per AISC 360-22 Section J3.6: Rn = Fnv·Ab, where Fnv depends on bolt grade and number of shear planes (with or without threads excluded). Bearing at bolt holes per Section J3.10: Rn = 2.4·d·t·Fu for deformation-at-service criterion, or 3.0·d·t·Fu for ultimate. Tearout per Section J3.10: Rn = 1.2·Lc·t·Fu where Lc is the clear distance. The bolt group capacity is the lesser of shear, bearing, and tearout summed over all bolts, with φ = 0.75.

Code References

AISC 360-22 Chapter J, Sections J3.6 and J3.10

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