Bolt Preloading Force & Torque

Classes 8.8 and 10.9 — EN 1993-1-8 & EN 1090-2

1  Bolt Selection
Bolt Type & Size
bolt diameter d
245 mm² tensile stress area
Bolt Class
per EN 1993-1-8 §3 Table 3.1
900 N/mm² yield strength
1000 N/mm² ultimate tensile strength
Figure 1 — Bolt preloading force & torque application (interactive)
2  Partial Safety Factors
resistance of bolts — EN 1993-1-8 §2 Table 2.1
preloading of bolts — EN 1993-1-8 §2 Table 2.1

Partial safety factors recommended by the Eurocode; numerical values may be defined in the National Annex.

3  Bolt Design Strength & Tension Resistance
Design Yield Strength
fyd = fyb / γM2 = 720.00 N/mm²
Design Tension Resistance
Ft,Rd = fyd · As = 176.40 kN
4  Bolt Design Preload — EN 1993-1-8 §3.6.1
Fp,Cd = 0.7 · fub · As / γM7  (Formula 3.1)
Fp,Cd = 155.91 kN for preloaded bolts per §3.1.2(1)

Only bolt assemblies of classes 8.8 and 10.9

5  Torque Reference Values — EN 1090-2 §8.5.2
Friction Coefficient (k-factor)
k-class value declared by manufacturer

Typical: 0.20 (steel/zinc-plated), 0.18 (lubricated), 0.16 (cadmium-plated)

Slip-Resistant Torque (100% Fp,Cd)
Mr = km · d · Fp,Cd
Mr = 623.64 N·m
Non-Slip Torque (reduced preload)
% of Fp,Cd
Fp,red = 50% · Fp,Cd = 77.95 kN
Mr,red = km · d · Fp,red = 311.82 N·m

Per EN 1993-1-8 §3.4.2 — when preload is not used for slip resistance but required for execution/durability.

Bolt Tensile Stress Areas (reference)
Boltd (mm)As (mm²)
Bolt Class Properties
Classfyb (N/mm²)fub (N/mm²)
8.8640800
10.99001000
Design Preload Force
155.91 kN
Slip-Resistant Torque
623.64 N·m
Tension Resistance Ft,Rd
176.40 kN
EN 1090-2:2008 — Execution of steel structures and aluminium structures — Part 2: Technical requirements for steel structures
EN 1993-1-8:2005 — Eurocode 3: Design of steel structures — Part 1-8: Design of joints