1 Shear Resistance (Fv,Rd)
Fv,Rd = αv · fub · A / γM2
- αv = 0.60 (standard) or 0.50 (high-strength grades)
- fub = ultimate tensile strength of bolt (MPa)
- A = net shear area through plane(s) (mm²)
- γM2 = partial safety factor for fasteners
2 Bearing Resistance (Fb,Rd)
Fb,Rd = k1 · αb · fu · d · t / γM2
αb depends on end & edge distances:
-
ad = e1 ⁄ 3d0
for end bolts - k1 typically 2.5–1.4
- d = bolt diameter (mm) • t = plate thickness (mm)
3 Tension Resistance (Ft,Rd)
Ft,Rd = k2 · fub · As / γM2
- k2 = 0.63 (countersunk) or 0.90 (standard)
- As = tension area of bolt (mm²)
4 Punching Shear (Bp,Rd)
Bp,Rd = 0.60 · π · dn · tp · fu / γM2
dn = hole diameter • tp = plate thickness
5 Combined Shear + Tension Check
(Fv,Ed/Fv,Rd) + (Ft,Ed/1.4·Ft,Rd) ≤ 1.0
If the inequality is not satisfied, the bolt is deemed unsafe.
Note – Formulas are condensed from TS EN 1993-1-8 (Table 3.4). Refer to the full standard for detailed design rules and national annex provisions.