Calculations › Steel Bolt Group
Steel Bolt Group
EN 1993-1-8
Checks a bolt group under combined shear and moment to EN 1993-1-8.
Diagram
Example inputs
Connection typefin-plate
Design shear (VEd)60 kN
Bolt diameter20 mm
Bolt grade8.8
Bolt rows3 —
Bolt columns1 —
Plate thickness10 mm
Plate gradeS275
National annexUK
Results
Steel Connection — M20 8.8
fin-plate · 3×1 bolts · 10mm S275 plate · EN 1993-1-8
Results
✓ Bolt Shear PASS
util 0.2660.00EN 1993-1-8 §3.6
| fub bolt ultimate strength | 800 | N/mm² | |
| As bolt tensile stress area | 201 | mm² | |
| αv shear factor | 0.6 | — | EN 1993-1-8 Table 3.4 |
| Fv,Rd single bolt shear = αv × fub × As / γM2 | 77.18 | kN | EN 1993-1-8 §3.6.1 |
| n total bolts | 3 | — | |
| Fv,Rd,total bolt group shear = Fv,Rd × n | 231.54 | kN |
✓ Plate Bearing PASS
util 0.1960.00EN 1993-1-8 §3.6
| αd end/spacing factor = min(e1/3d0, p1/3d0−0.25, fub/fu, 1) | 0.606 | — | EN 1993-1-8 Table 3.4 |
| k1 perpendicular factor = min(2.8e2/d0−1.7, 2.5) | 2.5 | — | |
| Fb,Rd single bolt bearing = k1 × αd × fu × d × t / γM2 | 104.24 | kN | EN 1993-1-8 §3.6.1 |
| Fb,Rd,total plate bearing = Fb,Rd × n | 312.72 | kN |
✓ Plate Shear (Gross) PASS
util 0.1960.00EN 1993-1-8 §3.6
| Plate height hp | 200 | mm | |
| Av gross shear area = hp × t | 2000 | mm² | |
| VRd,gross shear resistance = Av × fy / (√3 × γM0) | 317.54 | kN |
✓ Plate Shear (Net) PASS
util 0.2360.00EN 1993-1-8 §3.6
| d0 hole diameter = bolt dia + 2 | 22 | mm | |
| Anet net shear area = Av − n × d0 × t | 1340 | mm² | |
| VRd,net net shear resistance = Anet × fu / (√3 × γM2) | 266.14 | kN |
✓ Block Shear PASS
util 0.2360.00EN 1993-1-8 §3.10.2
| Ant net tension area = (e2 − d0/2) × t | 290 | mm² | |
| Anv net shear area = ((rows−1)p1 + e1 − (rows−0.5)d0) × t | 1050 | mm² | |
| Veff,Rd block shear resistance = fu×Ant/γM2 + fy×Anv/(√3×γM0) | 266.47 | kN | EN 1993-1-8 §3.10.2 |
WARNINGS
Standard geometry assumed: p1=60mm, e1=40mm, e2=40mm. Verify for actual layout.
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