Steel Beam Connection Calculator – Bolted & Welded Joint Design (AISC)
Our Steel Beam Connection Calculator designs bolted and welded connections for steel beams to columns, girders, or other members per AISC 360. Calculate fillet weld strength, bolt shear/tension/bearing, prying action, slip-critical resistance, and moment/shear connections.
Input end reactions from beam analysis, bolt/weld details, and plate sizes to get capacity checks and utilization ratios.
Perfect for completing beam design with proper joint detailing. Take reactions directly from our Ultimate Steel Beam Calculator or Fixed End Beam Calculator.
Steel Beam Connection Calculator
Professional structural engineering tool — bolt shear, weld strength, block shear & more
Connection Type
Member & Material Properties
Bolt Parameters
Weld Parameters
Applied Loads
Design Code & Additional Options
Calculation Results
— PASS —| Limit State Check | Demand | Capacity | DCR | Utilization | Status |
|---|
Connection Diagram
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Steel Beam Connection Calculator
Step-by-Step Guide
Everything you need to use the calculator confidently — from entering your first input to interpreting DCR results, understanding AISC 360 limit-state formulas, avoiding common mistakes, and trusting your output.
What the Steel Beam Connection Calculator Does
This free structural engineering tool performs all critical limit-state checks for bolted and welded steel beam connections per AISC 360-16 (optionally Eurocode 3 / IS 800). It covers both shear (simple) connections and moment (rigid) connections, calculates a Demand-to-Capacity Ratio (DCR) for each check, and flags the governing failure mode automatically.
Checks Performed Automatically
| # | Limit-State Check | Code Clause | What It Guards Against | ϕ Factor (LRFD) |
|---|---|---|---|---|
| 1 | Bolt Shear Capacity | AISC J3.6 |
Bolts shearing through in the shear plane | 0.75 |
| 2 | Bolt Bearing on Plate | AISC J3.10a |
Plate material tearing around bolt holes | 0.75 |
| 3 | Bolt Bearing on Beam Web | AISC J3.10a |
Web material tearing around bolt holes | 0.75 |
| 4 | Plate Gross Shear Yielding | AISC J4.2a |
Shear tab yielding across full gross area | 1.00 |
| 5 | Net Section Fracture | AISC J4.1 |
Plate tearing across the net hole section | 0.75 |
| 6 | Block Shear Rupture | AISC J4.3 |
A block of material tearing out of the plate | 0.75 |
| 7 | Fillet Weld Shear Strength | AISC J2.4 |
Weld throat failure in shear | 0.75 |
| 8* | Coped Beam Web Flexure | AISC C-J4 |
Bending failure at cope re-entrant corner | 0.90 |
| 9* | V-M Interaction (Moment Conn.) | AISC Int. |
Combined shear + moment exceeding capacity | — |
Step-by-Step Input Guide — Filling In the Calculator Correctly
Select Your Connection Type
Choose between Shear (Simple) or Moment (Rigid) connection types. The most common for beam-to-column connections is the Shear Tab.
- Shear Tab — single plate welded to column, bolted to beam web
- Double Angle — two angles, welded or bolted on both sides
- Extended End Plate — for rigid moment connections
- Welded Flange — direct groove weld to column flange
Enter Member & Material Properties
Select a standard W-shape from the dropdown — all four cross-section properties auto-populate. For a custom section, choose Custom and type values manually.
- d — overall beam depth (in or mm)
- tw — web thickness (critical for bearing check)
- bf, tf — flange width & thickness
- Fy, Fu — auto-filled from steel grade
- Enter cope depth = 0 if no cope exists
Configure Bolt Parameters
Set bolt grade, diameter, hole type, and thread condition. Then define the bolt pattern geometry.
- A490 N — threads in shear plane, Fnv = 68 ksi
- A325 X — threads excluded, Fnv = 68 ksi
- Typical bolt spacing: 3× diameter (preferred per AISC)
- Minimum edge distance: 1.25× bolt diameter
- Plate thickness affects bearing and block shear capacity
Set Weld Parameters
Fillet weld is the default and most common for shear connections. CJP/PJP are for moment connections.
- Weld size s = leg dimension of fillet (not throat)
- Effective throat te = 0.707 × s
- Transverse welds get a 1.5× directional factor
- Two-sided (both sides) welds double the weld area
- E70XX is the most common electrode (FEXX = 70 ksi)
Enter Applied Loads
Enter the net factored shear Vu (for LRFD) at the connection face. Use the Auto-Factor button to compute from individual D, L, W, E components.
- LRFD factored load: 1.2D + 1.6L typically governs
- Enter moment Mu only for moment connection types
- Axial Pu: positive = tension, negative = compression
- For shear-only connections, leave Mu = 0
Run Checks & Interpret Output
Click "Calculate Connection". Results appear below with five tabs:
- Summary — key capacities and governing mode
- All Checks — full DCR table for every limit state
- Diagram — annotated connection sketch
- Formulas — live formula derivations with your values
- Detail Steps — numbered calculation trace
All Formulas Used — Detailed AISC 360-16 Derivations with Units
ϕ = 0.75 (LRFD resistance factor for bolts)
Fnv = Nominal bolt shear stress [ksi] — from AISC Table J3.2.
A325-N: 54 ksi | A325-X: 68 ksi | A490-N: 68 ksi | A490-X: 84 ksi
Ab = Gross cross-sectional area of bolt = π × d² / 4 [in²]
n = Total number of bolts in the bolt group (rows × columns)
ns = Number of shear planes (1 = single shear; 2 = double shear)
Ab = π × 0.75² / 4 = 0.4418 in², ϕRn = 0.75 × 68 × 0.4418 × 3 × 1 = 67.5 kip
Lc = Clear distance from bolt hole edge to plate edge or next hole [in]
= Le − 0.5 × (d_bolt + 1/16") for edge bolts
t = Thickness of connected material — plate (t_p) or beam web (t_w) [in]
Fu = Ultimate tensile strength of connected material [ksi]
A36: 58 ksi | A572-Gr50: 65 ksi | A992: 65 ksi
d = Nominal bolt diameter [in]
n = Total number of bolts
ϕ = 1.00 (yielding, not fracture — higher factor)
Fy = Yield strength of plate [ksi]
Agv = Gross area subject to shear = plate height × plate thickness [in²]
h_plate = Overall plate height [in] (computed from bolt layout)
t_p = Plate thickness [in]
ϕ = 0.75 (fracture limit state)
Fu = Ultimate tensile strength of plate material [ksi]
Anet = Net area = gross area minus material removed by bolt holes [in²]
d_hole = Nominal hole diameter = bolt diameter + 1/16" [in]
Anv = Net area subject to shear = [ (n_rows−1)×s + Le_end − (n_rows−0.5)×d_hole ] × t_p [in²]
Agv = Gross area subject to shear = [ (n_rows−1)×s + Le_end ] × t_p [in²]
Ant = Net area subject to tension = (Le − 0.5 × d_hole) × t_p [in²]
Ubs = 1.0 for uniform tension distribution (standard shear connections)
Le_end = End distance (bolt to plate end in load direction) [in]
Le = Edge distance (bolt to plate edge transverse to load) [in]
ϕ = 0.75 for welds (LRFD)
Fexx = Electrode classification strength [ksi]: E60=62, E70=70, E80=80, E90=90
s_w = Fillet weld leg size [in]
Lw = Total weld length [in]
sides = 1 (one-sided) or 2 (both-sided)
k_dir = Directional strength factor: 1.5 for load transverse to weld axis (AISC J2.4b)
dc = Cope depth [in]
Lc = Cope length (horizontal distance from support face to bolt group) [in]
ho = Net beam depth after coping [in]
tw = Beam web thickness [in]
Vy = Factored shear force creates moment at re-entrant corner = Vu × Lc [kip·in]
ASD (Allowable Strength Design) Conversion
For bolts: Ω = 2.00 (equivalent to ϕ = 1/2.00 ≈ 0.50 in internal math).
For plates/yielding: Ω = 1.67 (ϕ ≈ 0.60).
Demand is compared against the service (unfactored) load you entered.
Reading Your Results — Understanding DCR, Capacity, and Governing Checks
The Demand-to-Capacity Ratio (DCR) is the single most important output. It tells you how close each check is to its limit:
DCR Interpretation — Visual Scale
| DCR Range | Color Code | Meaning | Recommended Action |
|---|---|---|---|
| < 0.90 | 🟢 Green | Well within capacity — good margin | No action needed; connection is adequate |
| 0.90 – 1.00 | 🟡 Yellow | Near capacity — within code limits but marginal | Review inputs carefully; consider adding a bolt or increasing plate thickness |
| > 1.00 | 🔴 Red | Exceeds capacity — connection fails this check | Redesign required: increase bolt count, plate size, weld leg, or reduce load |
The Governing Check
The calculator highlights the check with the highest DCR — this is the
governing limit state. Even if all other checks pass, a single DCR > 1.0 means
the connection fails. The governing check banner shows:
Governing check: [Name] — DCR = X.XXX ✔ OK or ✘ EXCEEDS CAPACITY.
Units, Input Ranges, and Conversion Reference Table
Imperial ↔ Metric Conversions Used
| Quantity | Imperial Unit | Metric Unit | Factor |
|---|---|---|---|
| Length / Size | inch (in) | millimetre (mm) | × 25.4 |
| Force | kip | kilonewton (kN) | × 4.448 |
| Stress | ksi (kip/in²) | MPa (N/mm²) | × 6.895 |
| Moment | kip·in | kN·m | × 0.1130 |
| Area | in² | mm² | × 645.16 |
Recommended Input Ranges
| Parameter | Typical Range (Imperial) | Notes |
|---|---|---|
| Beam depth d | 6" – 36" | W6 to W36 range |
| Web tw | 0.20" – 0.75" | Heavier sections thicker |
| Bolt diameter | ½" – 1¼" | ¾" most common in practice |
| Bolt spacing s | 2" – 4" | Min = 2.67d; pref. 3d |
| Edge distance | 1" – 2" | Min = 1.25d per AISC J3.4 |
| Plate thickness | ¼" – ¾" | 3/8" typical for shear tabs |
| Weld leg size | 3/16" – ½" | Min size per Table J2.4 |
| Factored shear Vu | 10 – 300 kip | Depends on beam span/load |
Common Input Mistakes and How to Avoid Them
LRFD demands factored loads (e.g., 1.2D + 1.6L). Entering unfactored dead + live loads directly produces an unconservative (underestimated) DCR.
If you manually type a bolt spacing of "3" in Metric mode, the calculator interprets it as 3 mm — far too small. Spacing should be ~75–100 mm for standard ¾" bolts in metric.
If you set a cope depth but leave cope length = 0, the coped beam flexure check computes M = V × 0 = 0, which always passes — hiding a potentially critical failure mode.
The "Weld Size" input expects the leg dimension (visible dimension on the plate). The calculator internally computes the effective throat as 0.707 × leg. Entering the throat dimension instead overestimates capacity by ~41%.
The Fy and Fu fields in Section 2 are for the plate/beam material (e.g., A36 = 36/58 ksi), not the bolt material. Bolt grades are selected separately in Section 3.
Shear tab, double angle, and single angle are simple connections — they are not designed to transfer moment. Entering Mu > 0 with a shear connection type selected will trigger the V-M interaction check unexpectedly.
Accuracy Notice — What the Calculator Does and Does Not Cover
This calculator implements the core provisions of AISC 360-16 for the limit states listed in Section 1 of this guide. Results are based on simplified, closed-form equations appropriate for standard connections. The tool is validated for:
✔ Standard bolt hole sizes (STD, OVS, SSL, LSL) | ✔ Bearing-type and slip-critical connections | ✔ A325, A490, A307, Grade 8.8/10.9 bolts | ✔ Fillet, CJP, PJP welds per J2 | ✔ Shear tabs, double angles, end plates, welded flanges
Not currently checked: Prying action on bolts in tension | Column local web/flange yielding (AISC J10) | Panel zone shear | Seismic-specific requirements (AISC 341) | Torsional eccentricity in bolt groups (instantaneous center method) | Fatigue.
Always verify results with a licensed Professional Engineer (PE/SE) before using in construction documents. This tool is best suited for preliminary sizing, educational purposes, and rapid design checks — not for final stamped calculations without engineering oversight.
Verified Code Clauses Referenced
| Clause | Topic | Where Used |
|---|---|---|
AISC J2.4 | Fillet Weld Strength | Check 7: weld shear capacity |
AISC J3.2 | Bolt Nominal Stresses (Table) | Check 1: F_nv values |
AISC J3.4 | Minimum Edge Distance (Table) | Geometry check: L_e min |
AISC J3.6 | Bolt Shear in Connections | Check 1: bolt shear formula |
AISC J3.10a | Bearing Strength at Bolt Holes | Checks 2 & 3 |
AISC J4.1 | Tensile Rupture of Connected Parts | Check 5: net section fracture |
AISC J4.2a | Shear Yielding of Connected Parts | Check 4: gross shear yielding |
AISC J4.3 (J4-5) | Block Shear Rupture | Check 6: block shear |
AISC Table J2.4 | Minimum Weld Sizes | Geometry check: weld size min |
AISC Manual Part 9 | End-Plate Connections | Moment connection checks |
Key User Pain Points in Steel Connection Design — and How This Calculator Solves Them
Connections can fail in 7+ different ways. Manually checking all of them in spreadsheets is time-consuming and error-prone. Missing block shear or net fracture leads to unsafe designs.
When collaborating with international teams or working on projects with mixed standards, manual unit conversion introduces errors in bolt diameters, spacing, and stress values.
Engineers and contractors need documented calculation packages showing all assumptions, formulas, and code references. Manually creating these from scratch wastes hours.
Structural engineers waste time running full hand calculations to decide if a shear tab is "good enough" before committing to detail drawings. Quick checks are needed in minutes, not hours.
AISC 360 has dozens of clauses for connections. Junior engineers and students struggle to locate the correct equations and apply the right resistance factors (φ values).
Beam copes create a local flexural demand at the re-entrant corner that is often overlooked in shear connection design, leading to cracking at that location in service.
Frequently Asked Questions (FAQ) — Steel Beam Connection Design
½" to allow for erection tolerance.