Composite Shear Stud Strength and Count (AISC 360-22 I8)
The strength of one composite shear stud, and how many a beam needs on each side.
Example
You enter
- Stud area Asc (in²) 0.442
- Slab f'c (psi) 4000
- Concrete modulus Ec (psi) 3644000
- Stud tensile Fu (ksi) 65
- Group factor Rg (Table I8.1) 1
- Position factor Rp (Table I8.1) 0.75
- Horizontal shear V' (kip, 0 = strength only) 400
You get
- Stud strength Qn 21.5 kip (Rg Rp Asc Fu cap governs)
- Studs each side 19
Details, formula, and sources
Qn = 0.5 Asc sqrt(f'c Ec) <= Rg Rp Asc Fu, studs each side = V'/Qn. A 3/4 in stud, f'c 4000, Ec 3.64e6, Fu 65, Rg 1.0, Rp 0.75 -> Qn_calc 26.7, cap 21.6 kip governs; V' 400 -> 19 studs; a weak-position Rp 0.6 raises it to 24. Deck orientation and stud position matter. The engineer of record governs.
Qn = 0.5 Asc sqrt(f'c Ec) <= Rg Rp Asc Fu; studs each side = ceil(V' / Qn).
AISC 360-22 §I8.2a nominal strength of a steel headed stud anchor, by name.
The stud-strength expression and the Rg/Rp table factors are published in AISC 360-22 §I8; the arithmetic is public.
Estimate. AHJ and licensed professional govern.
Field names used by the API: asc_in2, fc_psi, ec_psi, fu_ksi, rg, rp, vprime_kip, qn_kip, studs_each_side
- Stud strength Qn = 0.5 Asc sqrt(f'c Ec) <= Rg Rp Asc FuAISC 360-22 I8.2a
- Rg/Rp factors group and position factors from Table I8.1AISC 360-22
- Stud count studs each side = ceil(V' / Qn)scope of this tile