Bolt Capacity Calculator
Shear or bearing, whichever is lower, governs — above 9 mm plate it is usually shear.
Also known as bolt shear capacity · bolt bearing capacity · bolt strength
With the default inputs: Bolt diameter d 20 mm · Bolt grade Grade 8.8 · Bolt tensile strength fub 800 MPa etc.Design resistance per bolt 94.0 kN
Use your own dimensions ↓Inputs
Result
| Tensile stress area As (threads) | 244.8mm² |
| Gross area A (shank) | 314.2mm² |
| Coarse pitch P | 2.50mm |
| Shear factor αv | 0.60 |
| Shear planes | 1faces |
| Shear resistance per plane | 94.0kN |
| Shear resistance (1 planes) | 94.0kN |
| Hole diameter d0 | 22.0mm |
| Bearing factor αb | 0.606 |
| Bearing resistance (single plate t) | 104.2kN |
| Governing mode | Shear controls |
| Group total | 564kN |
| Min edge 1.5d0 | 33mm |
| Min pitch 2.5d0 | 55mm |
How this is worked out
Always compute both and take the lower. Shear checks the bolt itself, 0.6 fub A / 1.25; double shear multiplies the bolt resistance by two but does not multiply bearing — a bolt through three plates works on two shear planes, yet each plate still bears separately, so bearing is taken on the thinner plate. A double-shear joint therefore often flips from shear-controlled to bearing-controlled, and checking a single plane or shear alone overstates the connection. bearing checks the plate, 2.5 ab fu d t / 1.25. The bearing factor ab is the smallest of three ratios — edge e/(3d0), pitch p/(3d0) minus 0.25, and strength fub/fu — capped at 1.0. The usual mistake is checking shear only, and using the gross area: an M20 grade 8.8 looks generous at 120 kN on the gross section, but the threaded stress area gives 94 kN, 28% less. Against a 10 mm S355 plate at 40 mm edge the bearing value is 104 kN, so shear governs here; bearing only takes over below about 9 mm plate. Thin plates and short edge distances lose on bearing, so the fix is more bolts, not bigger ones. Several things here do not show up as a reduced capacity but will tear the connection apart: edge distance below 1.5d0 causes tear-out; pitch below 2.5d0 allows block shear along a row; in a long joint (end bolts more than 15d apart) the shear resistance must be multiplied by beta_Lf = 1 - (Lj - 15d)/(200d), floored at 0.75, because the load does not distribute evenly and the end bolts carry more; and an eccentrically loaded group must be split by polar moment of inertia rather than equally. This tool takes the smallest of the three ab ratios, which applies the worst bolt to all of them and is conservative: strictly the end row uses e1/3d0 and inner rows use p1/3d0 - 0.25, and k1 = 2.5 assumes the transverse edge distance is at least 1.5d0, below which k1 = 2.8e2/d0 - 1.7 governs. These are design values with the 1.25 material factor already applied, so do not compare them with tested failure loads.
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Reverse: known result, work out one input
Enter a target result; the other inputs stay fixed and this one is worked out.
Formula
| Shear area (threads) | As = π/4·(d − 0.9382P)² M20 P=2.5 → 245 mm² |
| Shear resistance | Fv,Rd = αv·fub·A/γM2 |
| αv (grades 4.6, 8.8) | 0.6 |
| αv (grade 10.9) | 0.5 |
| Bearing factor | αb = min(e/3d0, p/3d0 − 0.25, fub/fu, 1.0) |
| Bearing resistance | Fb,Rd = 2.5·αb·fu·d·t/γM2 |
| Group | N = min(Fv,Rd, Fb,Rd) × n |
Basis
The codes below are listed for comparison. This calculator returns EN 1993-1-8 values only.
- Implemented: EN 1993-1-8 (Europe / Commonwealth) - the values this calculator returns
- EN 1993-1-8, Table 3.4 — shear resistance Fv,Rd and bearing resistance Fb,Rd
- EN 1993-1-8, Table 3.4 — αb = min(e1/3d0, p1/3d0 − 1/4, fub/fu, 1.0)
- EN 1993-1-8, §3.8 — long joint reduction βLf = 1 − (Lj − 15d)/(200d), not below 0.75
- EN 1993-1-8, §3.9 — slip-resistant connections at serviceability and ultimate
- EN 1993-1-8, §2.2 — partial factor γM2 = 1.25 for resistance of connections
FAQ
How much load can one bolt take?
What is the difference between high strength and ordinary bolts?
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Building Calculator. Bolt Capacity Calculator. 2026-10-25. https://jianzhujisuan.com/en/bolt-capacity