Bolted Connections — Engineering Reference
Bolted connection design per AISC 360: bolt grades, shear and bearing capacity, slip-critical design, edge distance rules, and bolt shear/bearing calculator.
Overview
Bolted connections transfer forces between structural steel members through mechanical fasteners loaded in shear, tension, or combined shear-and-tension. They are the most common connection type in steel construction because they can be installed quickly in the field, inspected visually, and designed for a wide range of load magnitudes and directions.
The two primary categories are bearing-type connections (where bolt shanks bear against hole surfaces) and slip-critical connections (where clamping force from pretensioned bolts prevents slip at the faying surfaces).
Bolt grades and mechanical properties
| Grade | Fu (ksi) | Fy (ksi) | Diameter Range | Typical Use |
|---|---|---|---|---|
| A307 (Gr A) | 60 | — | 1/4 to 4 in. | Light connections, secondary members |
| A325 (Type 1) | 120 | 92 | 1/2 to 1-1/2 in. | Standard structural connections |
| A325 (Type 3) | 120 | 92 | 1/2 to 1-1/2 in. | Weathering steel connections |
| A490 (Type 1) | 150 | 120 | 1/2 to 1-1/2 in. | Heavy connections, high demand |
| A490 (Type 3) | 150 | 120 | 1/2 to 1-1/2 in. | Weathering steel, heavy connections |
| F3125 Grade A325 | 120 | 92 | 1/2 to 1-1/2 in. | Same as A325 (consolidated spec) |
| F3125 Grade A490 | 150 | 120 | 1/2 to 1-1/2 in. | Same as A490 (consolidated spec) |
Bolt shear capacity per AISC Table J3.2
| Grade | Diameter (in.) | Threads in Shear Plane (N) | Threads Excluded (X) | Single Shear phiRn (kip) | Double Shear phiRn (kip) |
|---|---|---|---|---|---|
| A325-N | 5/8 | 54 ksi | — | 12.5 | 25.0 |
| A325-N | 3/4 | 54 ksi | — | 17.9 | 35.8 |
| A325-N | 7/8 | 54 ksi | — | 24.4 | 48.8 |
| A325-N | 1 | 54 ksi | — | 31.8 | 63.6 |
| A325-X | 3/4 | — | 68 ksi | 22.5 | 45.0 |
| A325-X | 7/8 | — | 68 ksi | 30.8 | 61.6 |
| A490-N | 3/4 | 68 ksi | — | 22.5 | 45.0 |
| A490-N | 7/8 | 68 ksi | — | 30.8 | 61.6 |
| A490-N | 1 | 68 ksi | — | 39.8 | 79.5 |
| A490-X | 3/4 | — | 84 ksi | 27.8 | 55.6 |
| A490-X | 7/8 | — | 84 ksi | 37.8 | 75.7 |
phi = 0.75 for all values. Ab = pi/4 x d^2.
Bearing and tearout capacity
Bearing capacity per AISC J3.10
For standard holes with deformation at service load considered:
Rn = 1.2 x Lc x t x Fu (per bolt, limited to 1.5 x d x t x Fu)
Edge distance requirements per AISC Table J3.4
| Bolt Diameter (in.) | Min. Edge Distance (in.) | Min. Edge Distance (in.) at Shear Edges | Recommended (in.) |
|---|---|---|---|
| 1/2 | 3/4 | 3/4 | 1-1/4 |
| 5/8 | 7/8 | 7/8 | 1-1/4 |
| 3/4 | 1 | 1 | 1-1/2 |
| 7/8 | 1-1/8 | 1-1/8 | 1-3/4 |
| 1 | 1-1/4 | 1-1/4 | 2 |
Bearing capacity by bolt size and plate thickness (Fu = 58 ksi, A36)
| Bolt Diameter (in.) | t = 3/8 in. Lc=2d (kip) | t = 1/2 in. Lc=2d (kip) | t = 3/4 in. Lc=2d (kip) | Upper Limit t=3/8 (kip) |
|---|---|---|---|---|
| 5/8 | 19.4 | 25.9 | 38.8 | 20.4 |
| 3/4 | 19.7 | 26.3 | 39.4 | 24.5 |
| 7/8 | 19.9 | 26.5 | 39.8 | 28.6 |
| 1 | 20.1 | 26.8 | 40.3 | 32.6 |
Bearing values assume Lc >= 2d. Shorter edge distances reduce capacity linearly.
Slip-critical design (AISC J3.8)
Slip resistance per bolt: Rn = mu x Du x hf x Tb x ns
Slip coefficient by surface class
| Class | Surface Condition | mu (mean slip coefficient) |
|---|---|---|
| A | Clean mill scale, blast-cleaned Class A | 0.30 |
| B | Blast-cleaned to bare metal, blast-cleaned Class B | 0.50 |
| C | Hot-dip galvanized and roughened | 0.35 |
Minimum bolt pretension (AISC Table J3.1)
| Bolt Diameter (in.) | A325 Pretension Tb (kip) | A490 Pretension Tb (kip) |
|---|---|---|
| 5/8 | 19 | 24 |
| 3/4 | 28 | 35 |
| 7/8 | 39 | 49 |
| 1 | 51 | 64 |
| 1-1/8 | 64 | 80 |
| 1-1/4 | 81 | 102 |
Slip-critical capacity per bolt (Class A, Du=1.13, single slip plane)
| Diameter (in.) | A325 phiRn (kip) | A490 phiRn (kip) |
|---|---|---|
| 3/4 | 7.1 | 8.9 |
| 7/8 | 9.9 | 12.5 |
| 1 | 13.0 | 16.3 |
phi = 1.0 for slip-critical at service level. Slip-critical capacity is much lower than bearing-type capacity.
Combined shear and tension (AISC J3.7)
Bolts loaded in combined shear and tension must satisfy:
F'nt = 1.3 Fnt - (Fnt / phi x Fnv) x Fnv,req <= Fnt
Interaction table for 3/4 in. A325-N
| Vreq/Vn (%) | Available Tension phiF'nt (ksi) | Tension Reduction |
|---|---|---|
| 0% | 90 (full) | None |
| 20% | 72 | 20% |
| 40% | 54 | 40% |
| 60% | 36 | 60% |
| 80% | 18 | 80% |
| 100% | 0 | No tension capacity |
When shear reaches 100% of capacity, no tension can be resisted. The interaction is approximately linear.
Bolt spacing requirements
| Requirement | AISC Provision | Value |
|---|---|---|
| Minimum spacing | J3.3 | 2.67 x d (3d preferred) |
| Maximum spacing (unpainted weathering steel) | J3.5 | 14 x t (t = thinnest part) |
| Maximum spacing (painted or galvanized) | J3.5 | 7 x t or 6 in. (whichever is less) |
| Maximum spacing along edges | J3.5 | 12 x t or 6 in. |
Minimum spacing by bolt diameter
| Diameter (in.) | 2.67d (in.) | 3d preferred (in.) | Typical spacing (in.) |
|---|---|---|---|
| 5/8 | 1.67 | 1-7/8 | 2 or 3 |
| 3/4 | 2.00 | 2-1/4 | 3 |
| 7/8 | 2.33 | 2-5/8 | 3 |
| 1 | 2.67 | 3 | 3 or 3-1/2 |
Block shear rupture (AISC J4.3)
Block shear checks a tear-out failure path through the bolt group:
Rn = 0.6 x Fu x Anv + Ubs x Fu x Ant <= 0.6 x Fy x Agv + Ubs x Fu x Ant
where Anv = net shear area, Ant = net tension area, Agv = gross shear area, Ubs = 1.0 for uniform tension stress.
Block shear capacity for common patterns (3/4 in. bolts, A36, t = 3/8 in.)
| Pattern | Bolts | Shear Path (in.) | Tension Path (in.) | phiRn (kip) |
|---|---|---|---|---|
| Single row, 2 bolts | 2 | 2 x 3 = 6 | 1.5 | 104 |
| Single row, 3 bolts | 3 | 3 x 3 = 9 | 1.5 | 146 |
| Single row, 4 bolts | 4 | 4 x 3 = 12 | 1.5 | 188 |
| Double row, 2x2 | 4 | 2 x 6 = 12 | 3.0 | 241 |
| Double row, 2x3 | 6 | 2 x 9 = 18 | 3.0 | 333 |
Gross paths use Fy, net paths use Fu. Block shear often governs for coped beams and gusset plates.
Worked example — 3/4 in. A325-N bolt in single shear
Given: 3/4 in. A325-N bolt, single shear plane through the threads, connected plates are A36 (Fu = 58 ksi), plate thickness t = 3/8 in., edge distance = 1.25 in.
- Bolt shear: Ab = pi/4 x (0.75)^2 = 0.4418 in^2. Fnv = 54 ksi. Rn = 54 x 0.4418 = 23.9 kip. phiRn = 0.75 x 23.9 = 17.9 kip.
- Bearing: Standard hole = 13/16 in. Lc = 1.25 - 13/32 = 0.844 in. Rn = 1.2 x 0.844 x 0.375 x 58 = 22.0 kip. Upper limit = 1.5 x 0.75 x 0.375 x 58 = 24.5 kip. Bearing does not govern. phiRn = 0.75 x 22.0 = 16.5 kip.
- Controlling capacity = min(17.9, 16.5) = 16.5 kip per bolt (bearing controls).
Code comparison — bolt shear capacity
| Parameter | AISC 360-22 | AS 4100:2020 | EN 1993-1-8 | CSA S16:19 |
|---|---|---|---|---|
| Resistance factor | phi = 0.75 | phi = 0.80 | gamma_M2 = 1.25 | phi = 0.80 |
| A325/8.8 shear stress | 54 ksi (threads included) | 0.62 x fuf (Category 8.8) | 0.6 x fub / gamma_M2 | 0.60 x Fu |
| Slip-critical factor | mu = 0.30 Class A | mu = 0.35 (bare steel) | mu = 0.50 Class A | ks = 0.33 Class A |
| Hole deduction | Threads in/out shear plane | Threads in/out (Ac or Ao) | Tensile stress area As | Core area or gross area |
| Bolt pretension (3/4 in.) | 28 kip (A325) | ~95 kN (M20 8.8) | 0.7 x fub x As | 28 kip (A325M) |
Common mistakes to avoid
- Ignoring prying action — when bolts are loaded in tension through a flexible fitting (angles, tee-stubs), prying forces can increase bolt tension by 20-40%. Use AISC Design Guide 16 or the T-stub model in EN 1993-1-8.
- Using snug-tight for slip-critical joints — slip-critical design requires pretensioned bolts. Specifying snug-tight invalidates the slip resistance calculation entirely.
- Neglecting bearing at short edge distances — when Lc is small (e.g., at beam copes or gusset plate edges), bearing/tearout often governs over bolt shear. Always check both.
- Thread exclusion assumed but not verified — if the design relies on threads excluded from the shear plane, the bolt length must be specified precisely and verified during erection.
- Mixing A325 and A490 in the same connection — while not explicitly prohibited, mixed bolt grades create inspection confusion. If different grades are on the same project, use different diameters to make them visually distinguishable.
- Not checking block shear — block shear rupture often governs for coped beams and gusset plates. The failure tears out a block of material through the bolt group.
Frequently asked questions
What is the difference between bearing-type and slip-critical? Bearing-type connections allow the bolt to bear against the hole edge under shear. Slip-critical connections use pretensioned bolts to clamp the faying surfaces together, preventing slip at service loads. Slip-critical is required for oversized holes, fatigue loading, and load reversal.
When do I need slip-critical bolts? Per AISC J3.8: when oversized or slotted holes are used (except short slots perpendicular to load), when the connection is subject to fatigue, when bolts share load with welds, or when slip would compromise serviceability.
What is prying action? When a T-stub or angle leg bends under tension load, the flexibility of the connected part creates additional prying forces in the bolts. The total bolt tension = direct tension + prying force. This can increase bolt demand by 20-40%.
How many bolts do I need for a simple shear connection? It depends on the reaction. For a W16x26 beam with a 40 kip reaction and 3/4 in. A325-N bolts: 40 / 16.5 = 2.4 -> use 3 bolts minimum (bearing controls per bolt at 16.5 kip).
What is block shear? A failure mode where a block of material tears out through the bolt group along a path combining shear and tension planes. Per AISC J4.3, it combines shear yielding/fracture and tension fracture. Common in coped beams and gusset plates.
Should I specify threads included or excluded? Threads excluded (X) gives 25% more shear capacity but requires precise bolt length control. For most field connections, specify threads included (N) for simplicity. Use X only when the bolt length can be precisely controlled.
AISC Chapter J bolt design procedure
AISC 360-22 Chapter J governs the design of bolted connections. The following procedure ensures all applicable limit states are checked.
Design procedure for bolted shear connections
- Determine factored loads (shear, tension, or combined) from LRFD combinations.
- Select bolt grade and diameter (A325 or A490 for structural; specify N or X condition).
- Determine bolt shear capacity per Table J3.2 (Fnv x Ab, with phi = 0.75).
- Determine number of bolts required based on shear demand per bolt.
- Lay out bolt pattern satisfying minimum spacing (2.67d, prefer 3d) and minimum edge distance (Table J3.4).
- Check bearing and tearout at each bolt (J3.10): Rn = min(1.2LctFu, 1.5dtFu).
- Check block shear rupture (J4.3) for the bolt group.
- Check slip-critical capacity (J3.8) if applicable (oversized holes, fatigue, load reversal).
- Check combined shear and tension (J3.7) if bolts see both.
Bearing-type vs slip-critical — comparison
| Parameter | Bearing-Type | Slip-Critical |
|---|---|---|
| Installation | Snug-tight or pretensioned | Pretensioned (mandatory) |
| Load transfer | Bolt bears against hole | Friction between faying surfaces |
| phi factor | 0.75 | 1.0 (service), 0.75 (strength) |
| Capacity basis | Bolt shear strength (Fnv) | Slip resistance (mu x Tb) |
| Hole type | Standard, oversized, slotted | Standard, oversized, short/long slot |
| Required surface prep | None specified | Class A (mill scale), B (blast), or C (galvanized) |
| Typical capacity (3/4 in. A325) | 17.9 kip/bolt (N, single) | 7.1 kip/bolt (Class A, single plane) |
| When required | Most structural connections | Oversized holes, fatigue, load reversal |
| Cost impact | Baseline | +15-30% (surface prep + pretensioning) |
Limit states checklist for bolted connections
Every bolted connection must be checked against all applicable limit states. The governing limit state is the one with the lowest capacity.
| # | Limit State | AISC Section | Checks | Typical Governing? |
|---|---|---|---|---|
| 1 | Bolt shear (single or double) | J3.6 | Fnv x Ab x number of shear planes | Often |
| 2 | Bolt bearing on connected material | J3.10 | 1.2 x Lc x t x Fu | Often |
| 3 | Bolt tearout at edge bolts | J3.10 | 1.2 x Lc x t x Fu (reduced Lc) | At short edges |
| 4 | Block shear rupture | J4.3 | 0.6FuAnv + UbsFuAnt | Coped beams, gussets |
| 5 | Tension yielding of connected part | J4.1 | Fy x Ag | Gusset plates |
| 6 | Tension rupture of connected part | J4.2 | Fu x Ae (with shear lag U) | Angle connections |
| 7 | Slip resistance (if slip-critical) | J3.8 | mu x Du x hf x Tb x ns | Slip-critical only |
| 8 | Combined shear-tension (if applicable) | J3.7 | Modified F'nt interaction | Moment connections |
| 9 | Prying action (T-connections) | DG 16 | q x bolt tension | End plate, tee stub |
Worked example — simple shear connection design
Given: W16x36 beam (A992) framing into W14x82 column web. Beam reaction Ru = 42 kips. Design a single-plate shear connection using 3/4 in. A325-N bolts.
Step 1 -- Select plate: Single plate, 3/8 in. thick, A36 (Fy = 36 ksi, Fu = 58 ksi). Plate length to accommodate 4 bolts at 3 in. spacing = 12 in. Plate depth at cope = beam web depth minus top flange cope.
Step 2 -- Bolt shear capacity: 4 bolts, single shear (single plate), threads included:
phiRn = 4 x phi x Fnv x Ab = 4 x 0.75 x 54 x 0.4418 = 71.4 kips > 42 kips (OK)
Step 3 -- Bearing on plate (Lc = 1.5 in. edge distance, 3 in. spacing):
Lc_edge = 1.5 - (13/16)/2 = 1.094 in. (at end bolt)
Lc_inner = 3 - 13/16 = 2.188 in. (at interior bolts)
Edge bolt: phiRn = 0.75 x 1.2 x 1.094 x 0.375 x 58 = 21.4 kip
Inner bolt: phiRn = 0.75 x 1.2 x 2.188 x 0.375 x 58 = 42.7 kip
Upper limit: 0.75 x 1.5 x 0.75 x 0.375 x 58 = 18.3 kip (governs for all)
Total phiRn = 4 x 18.3 = 73.3 kips > 42 kips (OK)
Step 4 -- Block shear (plate, 4-bolt line):
Agv = (3+3+3+1.5) x 0.375 = 4.125 in^2
Anv = Agv - 3.5 x (13/16) x 0.375 = 4.125 - 1.069 = 3.056 in^2
Ant = (2 - 13/32) x 0.375 = 0.597 in^2 (assuming 2 in. width to plate edge)
phiRn = 0.75 x [0.6 x 58 x 3.056 + 1.0 x 58 x 0.597]
= 0.75 x [106.3 + 34.6] = 0.75 x 140.9 = 105.7 kips > 42 kips (OK)
Step 5 -- Plate shear yielding:
phiRn = 0.90 x Fy x Ag = 0.90 x 36 x (12 x 0.375) = 145.8 kips > 42 kips (OK)
Summary:
| Limit State | Capacity (kips) | Demand (kips) | D/C Ratio | Status |
|---|---|---|---|---|
| Bolt shear | 71.4 | 42 | 0.59 | OK |
| Bearing | 73.3 | 42 | 0.57 | OK |
| Block shear | 105.7 | 42 | 0.40 | OK |
| Plate shear | 145.8 | 42 | 0.29 | OK |
Bolt shear governs at 59% demand-to-capacity. The connection has adequate margin.
Run this calculation
Related references
- Bolt Spacing and Edge Distance
- Bolt Hole Sizes
- Bolt Capacity Table
- Bolt Grades
- Steel Connection Design
- Column Base Plate
- Eccentric Connections
- Steel Fasteners
- How to Verify Calculations
Disclaimer
This page is for educational and reference use only. It does not constitute professional engineering advice. All design values must be verified against the applicable standard and project specification before use. The site operator disclaims liability for any loss arising from the use of this information.
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