Free Column Splice Calculator | AISC 360-22 Bolted & Welded Design

Design and verify steel column splices per AISC 360-22. Check bolted, welded, and bearing splices with instant results and reports.
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The Column Splice Calculator is a free structural engineering tool that helps engineers and designers quickly design and verify steel column splices according to the latest AISC 360-22 specifications.

Whether you're using bolted flange plates, welded connections, bearing splices, or hybrid details, this calculator handles axial compression/tension, strong- and weak-axis moments, and shear forces. It provides clear demand-to-capacity ratios, limit state checks, bolt and weld capacities, a detailed step-by-step report, and an interactive diagram — all in both Imperial and Metric units.

Perfect for multi-story buildings, moment frames, and gravity columns. Results should always be reviewed by a licensed professional engineer.

Column Splice Calculator

Design & verify steel column splice connections — bolted, welded, or bearing. AISC 360-22 LRFD/ASD code compliance with step-by-step results.

AISC 360-22 LRFD / ASD Bolt + Weld + Plate Imperial & Metric Free Tool
ⓘ This calculator provides structural engineering guidance based on AISC 360-22. Results must be reviewed by a licensed engineer before use in construction. Always verify with project-specific conditions, load combinations per ASCE 7-22, and applicable local codes.
Units:
Code:
Step 1 — Select Splice Type
Bolted Flange Plate
Most common. Cover plates + bolts on flanges & web.
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Welded Splice
Full or partial penetration groove welds. Moment frames.
Bearing Splice
Direct bearing transfer. Gravity columns only.
Hybrid Splice
Bolted web + welded flanges.
Step 2 — Column Sections & Material
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in
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in²
ksi
ksi
ksi
Step 3 — Applied Loads
Load Convention Enter factored loads (LRFD) or unfactored (ASD). Compression is positive (+), Tension is negative (−) for axial.
kip
kip-ft
kip-ft
kip
kip
Step 4 — Splice Plates
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in
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Step 5 — Bolt Design
rows
cols
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🔥 Step 6 — Weld Design
in
ksi
in
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Run the design check to see results
Fill in your inputs and click "Run Design Check"
Column Splice — Elevation Diagram
Column Splice — Elevation View SteelSolver.com | AISC 360-22 SPLICE Upper Lower P, M, V Column Section Splice Plates Web Plates Bolts
Bolt Pattern — Flange Plate (Plan View)
Flange Plate Bolt Pattern (Plan) 4 cols x 3 rows shown (updates after calculation)
📄 Step-by-Step Design Report
📄
Run the design check to generate the report
ƒ Formulas Used in Calculations

1. Flange Force (Moment Transfer)

Flange Force

$$P_f = \frac{M_u}{d - t_f}$$

where $M_u$ = factored moment (kip-in), $d$ = column depth (in), $t_f$ = flange thickness (in).

AISC 360-22 Commentary to Chapter J

2. Axial Strength Checks — Splice Plates

Tensile Yielding (Gross Section)

$$\phi R_n = \phi F_y A_g \quad (\phi = 0.90)$$

AISC 360-22 §J4.1(a)

Tensile Rupture (Net Section)

$$\phi R_n = \phi F_u A_e = \phi F_u U A_n \quad (\phi = 0.75)$$

$U$ = shear lag factor; $A_n$ = net area.

AISC 360-22 §J4.1(b)

Compression Yielding (Bearing Splice)

$$\phi R_n = \phi \cdot 1.8 F_y A_{pb} \quad (\phi = 0.75)$$

$A_{pb}$ = projected bearing area.

AISC 360-22 §J7

3. Block Shear Rupture

Block Shear Strength

$$\phi R_n = \phi \left[ 0.6 F_u A_{nv} + U_{bs} F_u A_{nt} \right] \leq \phi \left[ 0.6 F_y A_{gv} + U_{bs} F_u A_{nt} \right]$$

$A_{nv}$ = net shear area; $A_{nt}$ = net tension area; $U_{bs}$ = 1.0 (uniform stress).

AISC 360-22 §J4.3

4. Bolt Strength Checks

Bolt Shear Strength

$$\phi R_n = \phi F_{nv} A_b \quad (\phi = 0.75)$$

$F_{nv}$ = nominal bolt shear stress; $A_b$ = bolt cross-sectional area.
A325-N: $F_{nv}$ = 54 ksi; A325-X: $F_{nv}$ = 68 ksi; A490-N: $F_{nv}$ = 68 ksi.

AISC 360-22 §J3.6, Table J3.2

Bolt Bearing / Tearout

$$\phi R_n = \phi \cdot 2.4 F_u d_b t \quad \text{(bearing)}$$

$$\phi R_n = \phi \cdot 1.2 L_c t F_u \quad \text{(tearout)}$$

$d_b$ = bolt diameter; $t$ = plate thickness; $L_c$ = clear distance.

AISC 360-22 §J3.10

5. Weld Strength

Fillet Weld Strength per Unit Length

$$\phi R_n = \phi \cdot 0.6 F_{EXX} \cdot (0.707 \, a) \cdot L_w \quad (\phi = 0.75)$$

$a$ = weld leg size (in); $L_w$ = weld length (in); $F_{EXX}$ = electrode strength (ksi).

AISC 360-22 §J2.4

Directional Strength Increase

$$\phi R_n = \phi \cdot 0.6 F_{EXX} (1.0 + 0.5 \sin^{1.5}\theta) \cdot A_w$$

$\theta$ = angle of loading to weld axis ($\theta = 90°$ for transverse welds gives 1.5× increase).

AISC 360-22 §J2.4(b)

6. Column Stability (Euler Buckling)

Critical Buckling Load

$$P_{cr} = \frac{\pi^2 E I}{(KL)^2}$$

$K$ = effective length factor; $L$ = unbraced length; $I$ = moment of inertia; $E$ = elastic modulus.

AISC 360-22 §E3

7. Demand/Capacity Ratio

Utilization (D/C Ratio)

$$DCR = \frac{\text{Demand}}{\phi R_n} \leq 1.0 \quad \text{(PASS)}$$

Values > 1.0 indicate overstress (FAIL). Values 0.90–1.00 are shown as WARNING.

8. AISC J1.4 Minimum Splice Strength

LFRS Column Minimum (50% Rule)

$$P_{splice,min} = \max\left(P_u, \; 0.50 \cdot \phi P_n\right)$$

For LFRS columns, the splice must resist at least 50% of the full member capacity, even if demand is lower.

AISC 360-22 §J1.4(b)

$ Cost Estimator
Prices are estimates based on typical market rates. Actual costs vary by region, supplier, and project conditions.
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Flange Plates Material
Web Plates Material
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💰 Total Estimated Cost
? Frequently Asked Questions
A column splice is a structural connection joining two steel column segments end-to-end. Splices are needed when column lengths exceed fabrication, transportation, or erection limits (typically 40–60 ft), or when the column section changes between building levels. The splice must transfer axial compression or tension, bending moments, and shear across the joint to maintain structural continuity. Per standard practice, splices are located approximately 2–4 ft above the finished floor level, within the lower quarter of the story height where moments are lowest.
Bearing Splice: Direct end bearing transfers compression. Economical for gravity columns where net tension is unlikely. Requires milled or saw-cut column ends. Only nominal bolts needed to keep columns aligned.

Bolted Flange Plate Splice: Flange plates bolted to each flange face transfer moment forces; web plates transfer shear. Most common type for multi-story buildings. Suitable for both gravity and LFRS columns.

Welded Splice: CJP or PJP groove welds at the flanges and fillet welds on the web. Used in seismic moment frames where full moment transfer and ductility are required. More expensive and requires field welding inspection.
AISC 360-22 Section J1.4 requires that column splices in LFRS (lateral force-resisting system) frames develop at least 50% of the required axial, shear, and flexural strength of the column — or the calculated demand from analysis — whichever is greater. For gravity-only columns, the splice need only resist the net tension (if any) from factored load combinations. This "50% rule" often governs design when actual loads are low relative to column capacity, ensuring a robust connection regardless of demand.
The bending moment is idealized as a force couple acting through the flanges. The flange force is: $P_f = M_u / (d - t_f)$ where $M_u$ is the factored moment, $d$ is the column depth, and $t_f$ is the flange thickness. Each flange plate (or weld group) must resist this flange force plus its proportional share of the axial load: one flange carries $P_u/2 + P_f$ (compression) and the other carries $P_u/2 - P_f$ (which may be tension). The web plates resist shear and the remaining axial proportion per the moment of inertia split.
A filler plate fills the gap between the splice plate and the column flange when the upper and lower columns have different flange thicknesses (or the splice plate cannot be in full contact). Per AISC 360-22 §J5, fillers less than 1/4 in thick need not be developed. Fillers 1/4 in to 3/4 in must be extended beyond the splice plate and attached with sufficient bolts/welds to distribute the load. Fillers over 3/4 in must be fully developed (designed as a structural element). This calculator flags filler plate requirements automatically when upper and lower flange thicknesses differ.
Yes, for Special Moment Frames (SMF) and Intermediate Moment Frames (IMF), AISC 341 requires column splices to develop the expected yield strength of the column, using overstrength factors $R_y$ and $R_t$. CJP groove welds are typically required for flange splices in seismic moment frames. Splice location must also be within the "protected zone" restrictions. Gravity-only columns in high seismic areas must still resist net tension under ASCE 7-22 seismic load combinations, which can be significant for lightly loaded columns at upper stories.
Per AISC 360-22 §J3.3, the minimum bolt spacing is $2\frac{2}{3} d_b$ (preferred: $3 d_b$). Minimum edge distance per Table J3.4 ranges from 1 in (for 3/4 in bolts in standard holes) to 1-1/2 in for larger diameters. Maximum edge distance is the lesser of 12 times the plate thickness or 6 in. Maximum bolt spacing is the lesser of 24 times the thinnest connected part or 12 in. Always check minimum spacing relative to bolt diameter to ensure constructability.
SteelSolver.com

Column Splice Calculator
Complete User Guide

Step-by-step instructions, all formulas explained with worked examples, AISC 360-22 code references, and answers to the most common column splice design questions.

AISC 360-22 LRFD & ASD Bolt Design Weld Sizing Plate Checks Imperial & Metric Free Tool
Accuracy & Liability Statement This guide and the accompanying Column Splice Calculator are provided as engineering reference tools based on AISC 360-22, ASCE 7-22, and AISC 341. All results must be independently reviewed and stamped by a licensed Professional Engineer before use in any construction project. Material properties, load combinations, and site-specific conditions vary — never rely on calculator output alone. SteelSolver.com assumes no liability for design decisions made without licensed engineering oversight.

1 What Is a Steel Column Splice? A Structural Engineer's Definition

A column splice is a structural connection that joins two steel column segments end-to-end in a vertical line. It is one of the most critical connections in multi-story steel construction because it must reliably transfer axial compression, axial tension, bending moments, and shear forces between column segments to maintain full structural continuity up the height of a building.

Column splices become necessary for several practical reasons: full-height columns are too long to fabricate in a single piece, too heavy to transport, or too large to erect safely with available cranes. In practice, columns are typically fabricated in two-story lengths (roughly 30–40 ft), and the splice joins them at an intermediate level.

Why Column Splices Are Needed
  • Fabrication limits: Standard mill lengths max out at ~60 ft; shop handling limits are often lower
  • Transport constraints: Highway clearances restrict pieces to roughly 40 ft for truckload delivery
  • Erection practicality: Crane hook heights and lift capacities require manageable piece weights
  • Section changes: Column sections often reduce in size at upper floors as loads decrease
  • Seismic design: Splices must be located and detailed to avoid the protected zone in moment frames
Standard Splice Location Requirements
  • Height: Typically located 2–4 ft above the finished floor level
  • Position within story: Should be in the lower quarter of the story height where moments are smallest
  • AISC guidance: Not within the "protected zone" for seismic moment frames (AISC 341)
  • Erection clearance: Must allow adequate bolt access and welding clearance around connection
  • Inspection access: CJP weld splices require ultrasonic testing (UT) access post-installation

2 Key User Pain Points — And How This Column Splice Calculator Solves Them

Engineers, detailers, and fabricators searching for a column splice design calculator typically face a recurring set of frustrations with manual methods and existing software. Here is exactly what this tool solves.

Manual Calculation Time
✗ Hours of AISC Manual Table 14-3 lookups, bolt group iterations, and limit-state spreadsheets
✓ Instant results — all 8+ limit states calculated and ranked in under one second
📊 Combined Load Complexity
✗ Checking P + M + V simultaneously by hand is tedious and error-prone
✓ Full interaction check — axial, strong-axis moment, weak-axis moment, and biaxial shear handled together
Missing the 50% AISC Rule
✗ LFRS column minimum strength per AISC §J1.4 is frequently overlooked, causing non-compliant designs
✓ Auto-flags when the 50% minimum governs over calculated demand — with the governing value displayed
💰 CJP Weld Over-Specification
✗ Engineers often specify CJP groove welds unnecessarily, adding significant cost and inspection burden
✓ Weld capacity check shows whether fillet welds are adequate — and suggests minimum weld size needed
Block Shear Omissions
✗ Block shear rupture on splice plates is often forgotten, leaving connections under-designed
✓ Block shear automatically checked per AISC §J4.3 with net shear and tension areas calculated
📄 No Report for Submission
✗ Free online tools give a number but no step-by-step calculation narrative suitable for EOR review
✓ Full step-by-step report with formula references, intermediate values, and clipboard/print export
Paywalled Software
✗ SkyCiv, DesconPlus, IDEA StatiCa — powerful but expensive or limited in free tiers
✓ Fully free, browser-based, no login required — covers bolted, welded, and bearing splice types
🔥 Weld-vs-Bolt Comparison
✗ No free tool compares welded vs bolted splice costs and capacities side by side
✓ Switch between splice types instantly and compare D/C ratios and cost estimates

3 Column Splice Types Explained — Bearing, Bolted, Welded, Hybrid

The calculator supports four splice types. Selecting the correct type is the first and most important design decision, as it determines which structural checks are performed, which inputs are required, and which limit states govern.

Splice Type Primary Load Path Best For Typical Cost Inspection Code References
Bearing Splice Direct end bearing (compression only) Gravity-only columns; no net tension under any load combo $ Lowest Visual + mill cert AISC 360-22 §J7; AISC 14th Ed. Table 14-3
Bolted Flange Plate Bolt shear + plate yielding/rupture Most multi-story buildings; gravity + LFRS columns $$ Moderate Visual + torque check AISC 360-22 §J3, §J4; J1.4
Welded Splice Groove weld throat + fillet weld shear Seismic moment frames (SMF/IMF); full moment transfer $$$ Highest UT + visual (CJP) AISC 360-22 §J2; AISC 341 §D2.5
Hybrid Splice Bolted web + welded flanges IMF; balance of ductility, cost, and inspection $$ Moderate Visual + torque + UT (flanges) AISC 360-22 §J2, §J3; AISC 341

Table 1 — Column splice type comparison. SMF = Special Moment Frame; IMF = Intermediate Moment Frame; UT = Ultrasonic Testing.

Bearing Splice — Critical Limitation A bearing splice can only transfer compression through direct end contact. If any load combination (including seismic uplift or wind-induced overturning per ASCE 7-22) produces net tension at the splice, a bearing-only design is inadequate. The calculator will flag this automatically.

4 Column Splice Connection Diagram — Components & Force Flow

Understanding the anatomy of a column splice is essential before entering inputs. The diagram below shows a standard bolted flange plate splice on a wide-flange (W-shape) column, which is the most common splice type in multi-story steel construction. All force paths are shown with arrows indicating how loads transfer through each element.

Steel Column Splice — Anatomy & Force Flow Diagram SteelSolver.com | Bolted Flange Plate Splice on W-Shape Column | AISC 360-22 UPPER COLUMN (Above Splice) LOWER COLUMN (Below Splice) SPLICE PLANE FLANGE PLATES WEB PLATES HIGH-STRENGTH BOLTS (A325 or A490) P (Axial) M (Moment) V (Shear) d (depth) bⁱ (flange width) LEGEND Column flanges & web Flange splice plates Web splice plates High-strength bolts Force flow path

Figure 1 — Bolted flange plate column splice anatomy. Forces P (axial), M (moment), and V (shear) flow from the upper column through the flange plates, bolts, and web plates to the lower column. All checks in the calculator reference this load path.

Splice Component Functions

ComponentPrimary FunctionLoad TransferredKey Design Check
Flange Splice PlatesCarry flange force from moment + share of axialP𝑧 = M𝑢 / (d - t𝑓)Yielding, rupture, block shear
Flange BoltsTransfer flange forces by shear into platesCompression or tension flange forceBolt shear, bearing, tearout
Web Splice PlatesCarry shear + residual web moment fractionV𝑢, residual bendingPlate shear yielding, block shear
Web BoltsTransfer shear from web plate to column webV𝑢 (vertical shear)Bolt shear, bearing, tearout
Bearing Surface(Bearing splice only) Direct compression transferCompressive P𝑢Contact pressure per AISC §J7
Filler PlateFill gap when upper/lower flanges differ in thicknessTransfers load across offsetDeveloped vs undeveloped per AISC §J5

5 Step-by-Step Input Guide — What to Enter & Why

  • 1
    Select Splice Type
    Choose from Bolted Flange Plate, Welded, Bearing, or Hybrid. This controls which input panels appear and which limit states are checked. If you are unsure, Bolted Flange Plate is the most common choice for new multi-story building columns.
    ⚠ Common mistake: Selecting Bearing splice when the column carries uplift under wind or seismic combinations. Bearing only handles compression — the calculator will flag net tension if detected.
  • 2
    Enter Column Sections & Material
    Input the upper and lower column geometry. For a standard W14×82: d = 14.3 in, bⁱ = 10.1 in, tⁱ = 0.855 in, t˧ = 0.510 in, Aɡ = 24.1 in². If upper and lower columns differ in size, enter each separately — the calculator will flag when a filler plate is needed based on the flange thickness difference.
    ⚠ Common mistake: Entering web thickness instead of flange thickness (or vice versa). The flange thickness tⁱ is always the horizontal plate at top and bottom; t˧ is the vertical web plate. Double-check the AISC Steel Construction Manual or manufacturer data.
  • 3
    Enter Factored Applied Loads
    Enter loads in LRFD (factored) or ASD (unfactored) format based on your code selection. Axial load convention: compression is positive (+), tension is negative (−). Moment M𝑢ₓ is the strong-axis (major) bending moment at the splice location. Shear V𝑢ₓ is the horizontal shear transferred across the joint.
    ⚠ Common mistake: Using unfactored service loads with the LRFD setting. LRFD requires factored loads per ASCE 7-22 combinations (e.g., 1.2D + 1.6L). Using service loads will severely underestimate demand and produce unconservative results.
  • 4
    Define Splice Plates
    Enter flange plate and web plate dimensions. For the flange plate: thickness t𝐍 should be at least equal to the column flange thickness; width b𝐍 should match or slightly exceed flange width; length L𝐍 should accommodate the required bolt pattern plus minimum edge distances. Select the number of flange plates: 2 (one on each side of the flange) is standard for a standard W-shape bolted splice.
    ⚠ Common mistake: Using only 1 flange plate (outer plate only) when moment transfer is required. Single-plate flange splices cannot efficiently develop the full moment unless carefully checked for eccentricity — always use 2 plates (one each side) for moment-resisting splices.
  • 5
    Configure Bolt Pattern
    Select bolt grade (A325 or A490), diameter, and hole type. Then enter the rows, columns, pitch spacing, and edge distance. The minimum bolt pitch is 2⅔ d𝐋 (2.67 times bolt diameter); preferred is 3d𝐋. Minimum edge distance from center of hole to plate edge per AISC Table J3.4 ranges from 1 in (¾ in bolt) to 1¾ in (1¼ in bolt) depending on hole type.
    ⚠ Common mistake: Entering bolt rows as the number along the flange width direction instead of the length direction. In this calculator, rows = bolts along the length of the plate (load direction); columns = bolts across the plate width (gage direction). This is consistent with AISC bolt group notation.
  • 6
    Configure Weld Parameters (Welded or Hybrid Splices)
    This panel appears when you select Welded or Hybrid splice type. Enter weld leg size a (fillet leg size in inches or mm), electrode classification (E70XX is standard for structural steel), and weld length. The calculator uses the effective throat of 0.707a for fillet welds per AISC §J2.2b. For CJP groove welds, the effective area equals the full cross-section, and the nominal strength equals the lesser of the base metal or weld metal.
    ⚠ Common mistake: Entering the weld throat instead of the weld leg size. The AISC calculator and this tool use the leg size (a) as input — the effective throat is then computed as 0.707a automatically. Entering the throat value as the leg will underestimate weld strength by 29%.

6 All Formulas & Calculations Explained — AISC 360-22 Column Splice Design

The Column Splice Calculator performs up to 8 simultaneous limit state checks. Every formula is listed below with its AISC 360-22 section reference, variable definitions, and the units used. All intermediate values appear in the step-by-step report output.

6.1 Flange Force Calculation — Moment Transfer to Splice Plates

The most critical first step in any moment splice design is converting the bending moment into an equivalent force at the flanges. This is done by treating the moment as a couple acting through the flange centroids.

Formula F-1 — Flange Force
$$P_f = \frac{M_u}{d - t_f}$$
Where:
$P_f$ = flange force (kip) — tension in one flange, compression in the other
$M_u$ = factored bending moment at the splice (kip⋅in) — convert kip⋅ft to kip⋅in by multiplying by 12
$d$ = column depth (in)
$t_f$ = column flange thickness (in)
AISC 360-22 Commentary to Chapter J; AISC 14th Ed. Part 14
Formula F-2 — Combined Flange Demands (Axial + Moment)
$$P_{f,comp} = \frac{P_u}{2} + P_f \qquad P_{f,tens} = \frac{P_u}{2} - P_f$$
Where:
$P_{f,comp}$ = compression flange demand (kip) — this governs if both terms are additive
$P_{f,tens}$ = tension flange demand (kip) — becomes governing tension demand when $P_f > P_u/2$
$P_u$ = factored axial load, positive for compression (kip)
AISC 360-22 Commentary §J1.4; used in flange plate and bolt design

6.2 Splice Plate Strength Checks — Yielding, Rupture & Block Shear

Formula F-3 — Tensile Yielding of Splice Plate (Gross Section)
$$\phi R_n = \phi \cdot F_{y,plate} \cdot A_g \qquad (\phi = 0.90)$$
$F_{y,plate}$ = yield strength of splice plate material (ksi) — 36 ksi for A36, 50 ksi for A572
$A_g$ = gross cross-sectional area of plate = $t_p \times b_p$ (in²)
$\phi$ = resistance factor = 0.90 for yielding limit state
AISC 360-22 §J4.1(a)
Formula F-4 — Tensile Rupture of Splice Plate (Net Section)
$$\phi R_n = \phi \cdot F_{u,plate} \cdot A_e \qquad A_e = U \cdot A_n \qquad (\phi = 0.75)$$
$F_{u,plate}$ = tensile strength of splice plate (ksi) — 58 ksi for A36, 65 ksi for A572
$A_n$ = net area = $(b_p - n_{bolts} \cdot d_h) \times t_p$ (in²) where $d_h$ = hole diameter = $d_b + \frac{1}{16}$ in
$U$ = shear lag reduction factor = 0.90 for 3+ bolt rows, 0.75 for 2 or fewer rows
$\phi$ = 0.75 for rupture limit state
AISC 360-22 §J4.1(b), Table D3.1
Formula F-5 — Block Shear Rupture of Splice Plate
$$\phi R_n = \phi \left[\min\!\left(0.6F_u A_{nv} + U_{bs}F_u A_{nt},\; 0.6F_y A_{gv} + U_{bs}F_u A_{nt}\right)\right] \quad (\phi = 0.75)$$
$A_{gv}$ = gross area in shear = $(L_{gv}) \times t_p$ where $L_{gv}$ = total shear length along bolt rows
$A_{nv}$ = net area in shear = $(L_{gv} - n_{rows} \times d_h) \times t_p$ (accounting for hole deductions)
$A_{nt}$ = net area in tension = $(b_p - n_{cols} \times d_h) \times t_p$
$U_{bs}$ = 1.0 for uniform tension stress (typical splice plates)
Two terms inside the min(): first governs when rupture in both shear and tension; second when shear yields before rupture
AISC 360-22 §J4.3

6.3 Bolt Strength Checks — Shear, Bearing, Tearout & Spacing

Formula F-6 — Bolt Shear Strength (per bolt, single shear)
$$\phi R_n = \phi \cdot F_{nv} \cdot A_b \qquad (\phi = 0.75)$$
$F_{nv}$ = nominal bolt shear stress (ksi): A325-N = 54, A325-X = 68, A490-N = 68, A490-X = 84 ksi
$A_b$ = bolt cross-sectional area = $\frac{\pi d_b^2}{4}$ (in²) e.g., 1-in bolt: A𝐋 = 0.785 in²
N = threads included in shear plane; X = threads excluded (stronger)
AISC 360-22 §J3.6, Table J3.2
Formula F-7 — Bolt Bearing Strength on Connected Material
$$\phi R_{n,bear} = \phi \cdot 2.4 \cdot F_u \cdot d_b \cdot t \qquad (\phi = 0.75)$$
$F_u$ = tensile strength of the connected plate (ksi)
$d_b$ = bolt diameter (in)
$t$ = thickness of the connected plate at the bolt location (in)
This formula applies to inner bolts; end bolts may be governed by tearout
AISC 360-22 §J3.10(a)
Formula F-8 — Bolt Tearout / End Distance Check
$$\phi R_{n,tearout} = \phi \cdot 1.2 \cdot L_c \cdot t \cdot F_u \qquad (\phi = 0.75)$$
$L_c$ = clear distance between edge of bolt hole and edge of plate or adjacent bolt hole (in)
For end bolt: $L_c = L_e - \frac{d_h}{2}$ where $L_e$ = edge distance
For inner bolt: $L_c = s - d_h$ where $s$ = bolt pitch spacing
Governing bolt shear = min(bearing, tearout) per bolt
AISC 360-22 §J3.10(b)
Bolt Spacing Minimums — AISC 360-22 §J3.3 Minimum center-to-center bolt spacing: $s_{min} = 2\tfrac{2}{3} d_b$ (absolute minimum) or $3 d_b$ (preferred). For a 1-in bolt: minimum = 2.67 in, preferred = 3.0 in. Maximum spacing: lesser of $24t$ or 12 in for plates in contact; lesser of $12t$ or 6 in for painted/weathering steel. These limits are automatically validated in the calculator.

6.4 Weld Strength Checks — Fillet, CJP & PJP Groove Welds

Formula F-9 — Fillet Weld Nominal Strength per Unit Length
$$\phi R_n = \phi \cdot 0.6 F_{EXX} \cdot t_e \cdot L_w \qquad t_e = 0.707a \qquad (\phi = 0.75)$$
$F_{EXX}$ = electrode classification strength (ksi): E70XX = 70, E80XX = 80, E90XX = 90 ksi
$t_e$ = effective throat of fillet weld = $0.707 \times a$ where $a$ = weld leg size (in)
$L_w$ = effective length of weld (in) — total for all weld lines
$\phi$ = 0.75 for weld metal strength limit state
AISC 360-22 §J2.4(a), Eq. J2-3
Formula F-10 — Fillet Weld Directional Strength Increase
$$\phi R_n = \phi \cdot 0.6 F_{EXX} \cdot A_w \cdot (1.0 + 0.5\sin^{1.5}\!\theta)$$
$\theta$ = angle between weld axis and load direction (degrees)
For transverse welds ($\theta = 90°$): factor = $1.0 + 0.5(1.0)^{1.5} = 1.50$ (50% increase)
For longitudinal welds ($\theta = 0°$): factor = $1.0$ (no increase)
$A_w$ = effective throat area = $t_e \times L_w$ (in²)
AISC 360-22 §J2.4(b), Eq. J2-5
Formula F-11 — CJP Groove Weld Strength (Full Penetration)
$$\phi R_n = \phi \cdot F_{BM} \cdot A_{BM} \quad \text{(base metal controls)}$$
For CJP welds, the weld strength equals the base metal capacity — effectively not a governing limit state when matching electrode is used (E70XX with A992 steel)
$F_{BM}$ = controlling base metal stress: $F_u$ for tension, $0.6F_u$ for shear
$A_{BM}$ = base metal area at the weld throat (in²) = full column flange area for a flange CJP
AISC 360-22 §J2.1, Table J2.5

6.5 Column Stability & Euler Buckling Check

Formula F-12 — Euler Critical Buckling Load
$$P_{cr} = \frac{\pi^2 E I}{(KL)^2}$$
$E$ = elastic modulus = 29,000 ksi (steel) or 200,000 MPa
$I$ = moment of inertia about the relevant axis (in⁴)
$K$ = effective length factor (1.0 for pinned-pinned, 0.7 for fixed-pinned, 0.5 for fixed-fixed)
$L$ = unbraced column length (in)
Used as reference to confirm the splice plate has adequate area relative to column capacity
AISC 360-22 §E3, Eq. E3-1

6.6 AISC §J1.4 Minimum Splice Strength — The 50% Rule for LFRS Columns

This is the most commonly overlooked requirement in column splice design. Even when calculated loads at the splice are small, LFRS columns must develop a minimum strength to ensure robustness and structural integrity under extraordinary loading events.

Formula F-13 — AISC §J1.4 Minimum Required Splice Strength
$$P_{splice,req} = \max\!\left(P_u,\; 0.50 \cdot \phi P_n\right)$$ $$\phi P_n = 0.90 \cdot F_y \cdot A_g \quad \text{(simplified, compression governs)}$$
$P_{splice,req}$ = required splice design strength (kip)
$P_u$ = factored axial demand at splice from analysis (kip)
$0.50\,\phi P_n$ = 50% of the full factored compressive capacity of the column
If the 50% minimum exceeds $P_u$, the splice must be designed for the larger value regardless of analysis demand
AISC 360-22 §J1.4(b) — applies to columns in the LFRS (lateral force resisting system)
When Does the 50% Rule Govern? In light upper-story columns where the axial load is small but the column section is relatively large, the 50% rule can require a splice 3–5 times stronger than the calculated demand. This is especially common in tall buildings where upper-story columns may be W10 or W8 sections carrying only 50–100 kips, yet the 50% minimum of their full capacity exceeds 300 kips. Always check this before finalizing your bolt count and plate sizing.

6.7 Demand/Capacity Ratio — Interpreting Utilization

Formula F-14 — Demand/Capacity Ratio (Utilization)
$$DCR = \frac{\text{Demand}}{\phi R_n} \leq 1.0 \quad \text{(PASS)}$$
Demand = factored load effect for the specific limit state (kip)
$\phi R_n$ = design strength for that limit state (kip)
DCR ≤ 1.0 = PASS; DCR > 1.0 = FAIL
DCR 0.90–1.00 = shown as WARNING (overstress risk with small error in load estimation)
🏆 D/C Ratio Interpretation Guide
Excellent (0–50%)
50%
Acceptable (50–70%)
70%
Efficient (70–90%)
90%
Near limit (90–100%)
100%
FAIL (>100%)
FAIL

Target range: 70–90% is considered efficient design. Below 60% may indicate over-design; above 90% provides minimal safety margin for load estimation uncertainty.

7 Reading the Results Tab — Limit States, D/C Ratios & Pass/Fail

After clicking "Run Design Check," the Results tab opens automatically. Here is what every element means and how to act on the information.

Result ElementWhat It ShowsAction if FAIL
Overall Status Banner PASS / WARNING / FAIL based on the highest D/C ratio across all active limit states Review governing limit state; increase plate thickness or bolt count
Governing Limit State Which check controls design — e.g., "Block Shear Rupture (D/C = 1.12)" Target specifically: block shear → increase plate or edge distance; bolt shear → add bolts
Axial D/C Gauge Demand/capacity for combined axial load across flange plates Increase plate area (wider plate or more plates) or upgrade plate grade to A572
Moment D/C Gauge Flange force demand vs bolt/plate/weld capacity at compression flange Add bolt rows, increase plate thickness, or switch to larger bolt diameter
Shear D/C Gauge Shear demand vs web plate bolt group and plate shear capacity Add web bolt rows, increase web plate thickness, or add a web plate
Limit State Table Every check with demand, capacity, D/C ratio, and color-coded bar Address highest D/C first; all rows must be green (≤ 1.0) for code compliance
AISC §J1.4 Check 50% minimum strength compliance for LFRS columns If 50% rule governs: increase bolt count or plate to meet higher demand level
Step-by-Step Report Full calculation narrative with all formula references and intermediate values Use for EOR review submission; copy with button or print

8 Units & Input Validation — Imperial vs Metric

The calculator supports both Imperial (US Customary) and Metric (SI) unit systems. Toggle between them at the top of the calculator page. All unit labels update instantly, and all calculations recalibrate automatically.

ParameterSymbolImperial UnitMetric UnitTypical Range
Column Depthdinmm8–36 in (200–900 mm) for W-shapes
Flange Widthbⁱinmm6–17 in (150–430 mm)
Flange Thicknesstⁱinmm0.25–2.5 in (6–64 mm)
Web Thicknessinmm0.2–1.5 in (5–38 mm)
Cross-Section Areain²mm²5–200 in² for W-shapes
Yield StrengthFᵧksiMPa36–100 ksi (248–690 MPa)
Tensile StrengthFᵦksiMPa58–125 ksi (400–860 MPa)
Elastic ModulusEksiMPa29,000 ksi (200,000 MPa)
Axial LoadP𝑢kipkN0–5,000 kip (0–22,000 kN)
Bending MomentM𝑢kip⋅ftkN⋅m0–5,000 kip⋅ft (0–6,800 kN⋅m)
Shear ForceV𝑢kipkN0–2,000 kip (0–8,900 kN)
Plate Thicknesst𝐍inmm0.25–2 in (6–50 mm)
Bolt Diameterd𝐋inmm0.75–1.5 in (M20–M36)
Weld Leg Sizeainmm3/16–3/4 in (5–19 mm)

Table 2 — Complete units reference. 1 kip = 1,000 lbf = 4.448 kN. 1 ksi = 6.895 MPa. 1 in = 25.4 mm. 1 kip⋅ft = 1.356 kN⋅m.

💡
Moment Input Convention Moments are entered in kip⋅ft (or kN⋅m), but the flange force formula requires kip⋅in (or kN⋅mm). The calculator automatically converts M𝑢 × 12 before computing Pⁱ. You do not need to convert manually — enter in kip⋅ft directly.

9 Common Column Splice Design Mistakes — Microcopy & How to Avoid Them

Mistake 1: Ignoring Net Tension

Engineers design for the dominant compression load but forget to check the load combination that produces maximum net tension. Under ASCE 7-22 seismic or wind combinations (e.g., 0.9D + 1.0W), uplift can reverse the axial force from +400 kip compression to −80 kip tension at the splice.

Fix: Enter the load combination that produces maximum tension as a separate run with P𝑢 = negative. Check that bolt/plate tensile capacity covers this demand.
Mistake 2: Omitting Web Splice in Moment Frame

In a moment-resisting splice, both flanges AND the web must be spliced. The web plate carries shear and the residual bending moment not carried by the flanges (proportional to the web's share of total moment of inertia). Omitting the web splice plate leaves the shear path undefined.

Fix: Always provide web splice plates in moment-frame columns. Enter web plate dimensions and web bolt pattern — the calculator checks web shear independently.
Mistake 3: Counting Bolt Rows Incorrectly

A "3 rows × 2 columns" bolt pattern means 3 bolt lines running along the load direction and 2 bolt lines across the plate width (gage direction). This is frequently reversed, resulting in an overestimate of bolt group capacity when the fewer bolts in the critical direction are used.

Fix: Rows = number along the plate length (parallel to load). Columns = number across the plate width (perpendicular to load). Sketch your bolt pattern before entering.
Mistake 4: Using Nominal Loads Instead of Factored Loads

The LRFD code method requires factored loads (D, L, W, E multiplied by their respective ASCE 7-22 load factors before input). Entering unfactored service loads with LRFD selected will produce D/C ratios that appear safe but are actually 25–60% non-conservative.

Fix: Use the most critical factored load combination (e.g., 1.2D + 1.6L or 1.2D + 1.0E + 0.5L). If you have service loads, use ASD mode instead.
Mistake 5: Forgetting Filler Plates for Mismatched Sections

When the upper column (e.g., W14×53, tⁱ = 0.660 in) is shallower than the lower column (W14×99, tⁱ = 0.780 in), the 0.120-in flange thickness difference creates a gap that must be filled. Filler plates thicker than ¼ in must be developed per AISC §J5.

Fix: Enter actual upper and lower column flange thicknesses. If they differ by more than 1/16 in, the calculator flags filler plate requirement automatically.
Mistake 6: Specifying CJP Welds When Not Required

CJP groove welds are expensive: they require backing bars, pre-weld inspection, post-weld UT testing, and high skill level. They are only required for seismic special moment frames (SMF) per AISC 341. For most non-seismic and many IMF applications, properly sized fillet welds are sufficient and significantly more economical.

Fix: Select Welded splice type and enter a fillet weld size. Check if the fillet weld D/C ratio is ≤ 1.0 before upgrading to a CJP. Fillet welds often work for non-seismic splices.

10 Worked Example — Bolted Flange Plate Splice on W14×82 Column

This example walks through a complete bolted column splice design calculation using the tool, matching AISC 360-22 LRFD method. All values match what you would see in the Step-by-Step Report output.

Given: Problem Statement

Column Section

  • W14×82 (both upper and lower)
  • d = 14.3 in, bⁱ = 10.1 in
  • tⁱ = 0.855 in, t˧ = 0.510 in
  • Aɡ = 24.1 in²

Material & Code

  • A992 steel: Fᵧ = 50 ksi, Fᵦ = 65 ksi
  • A36 splice plates: Fᵧ = 36 ksi, Fᵦ = 58 ksi
  • A325-N bolts: Fᵏᵥ = 54 ksi
  • LRFD (AISC 360-22)

Factored Loads at Splice

  • P𝑢 = +200 kip (compression)
  • M𝑢ₓ = 100 kip⋅ft = 1,200 kip⋅in
  • V𝑢 = 30 kip
  • Column classification: LFRS

Flange Plates

  • 2 plates, A36, t𝐍 = ¾ in = 0.75 in
  • b𝐍 = 7.0 in, L𝐍 = 12 in each side
  • 3 rows × 2 cols of bolts
  • Pitch s = 3.0 in, edge Lₑ = 1.5 in

Web Plates

  • 2 plates, A36, t˧ = ½ in = 0.50 in
  • h˧ = 8.0 in, L˧ = 10 in each side
  • 3 rows × 1 col of bolts

Bolts

  • 1-in diameter A325-N
  • Standard holes, bearing type
  • A𝐋 = π(0.5)² = 0.785 in²
  • dₕ = 1 + 1/16 = 1.0625 in

Calculation Steps

Step 1 — Flange Force
$$P_f = \frac{M_u}{d - t_f} = \frac{1{,}200 \text{ kip-in}}{14.3 - 0.855} = \frac{1{,}200}{13.445} = 89.3 \text{ kip}$$
Compression flange demand: $P_{f,comp} = 200/2 + 89.3 = 100 + 89.3 = \mathbf{189.3 \text{ kip}}$
Tension flange demand: $P_{f,tens} = 100 - 89.3 = \mathbf{+10.7 \text{ kip (still compression)}}$
Step 2 — Flange Plate Gross Yielding (both plates)
$$A_{g,plate} = t_p \times b_p = 0.75 \times 7.0 = 5.25 \text{ in}^2 \quad \times 2 \text{ plates}$$ $$\phi R_n = 0.90 \times 36 \times 5.25 \times 2 = \mathbf{340.2 \text{ kip}} \quad \Rightarrow \text{DCR} = \frac{189.3}{340.2} = 0.556 \;\checkmark$$
Step 3 — Flange Plate Net Rupture
$$d_h = 1.0 + 0.0625 = 1.0625 \text{ in}$$ $$A_n = (7.0 - 2 \times 1.0625) \times 0.75 = (7.0 - 2.125) \times 0.75 = 4.875 \times 0.75 = 3.656 \text{ in}^2$$ $$\phi R_n = 0.75 \times 58 \times 0.90 \times 3.656 \times 2 = \mathbf{285.7 \text{ kip}} \quad \Rightarrow \text{DCR} = \frac{189.3}{285.7} = 0.663 \;\checkmark$$
Step 4 — Bolt Shear (per bolt, single shear)
$$\phi R_n = 0.75 \times 54 \times 0.785 = \mathbf{31.8 \text{ kip/bolt}}$$ $$\text{Total flange bolts} = 3 \times 2 \times 2 \times 2 = 24 \text{ bolts (both sides, 2 plates per side)}$$ $$\phi R_n,\text{total} = 24 \times 31.8 = 763.2 \text{ kip} \quad \Rightarrow \text{DCR/flange side} = \frac{189.3}{763.2/2} = \frac{189.3}{381.6} = 0.496 \;\checkmark$$
Step 5 — AISC §J1.4 Minimum Strength (50% Rule)
$$\phi P_n = 0.90 \times 50 \times 24.1 = 1{,}084.5 \text{ kip}$$ $$P_{splice,min} = 0.50 \times 1{,}084.5 = \mathbf{542.3 \text{ kip}}$$ $$\text{Demand from analysis: } P_u = 200 \text{ kip} < 542.3 \text{ kip}$$
⚠ 50% rule governs. The splice must be designed for 542.3 kip, not 200 kip. Re-check plate yielding: DCR = 542.3/340.2 = 1.59 — FAIL. Increase plates or bolts.
💡
Key Lesson from This Example The direct demand check (200 kip) passed every limit state comfortably. Yet the AISC §J1.4 minimum strength requirement (542.3 kip) failed plate yielding and bolt shear. This is why the calculator explicitly shows the J1.4 check — it would be easy to miss in a hand calculation, and the consequences of under-designed LFRS splices are severe. To fix: use ²PL 1.5 × 7 (36 ksi) → Aɡ = 21 in² per side → φRᵋ=680 kip > 542.3 ✓

11 Code Standards Reference — AISC, ASCE, Eurocode, IS 800

StandardTitleScopeKey Sections for Splices
AISC 360-22Specification for Structural Steel Buildings (2022)US standard for structural steel design§J1.4, §J3, §J4, §J7, §E3
AISC 341-22Seismic Provisions for Structural Steel BuildingsSeismic design of steel structures§D2.5, §F2, §F3 (SMF/IMF splice requirements)
ASCE 7-22Minimum Design Loads and Associated CriteriaLoad combinations and seismic hazard§2.3 (LRFD combos), §12 (seismic loads)
Eurocode 3EN 1993-1-8: Design of JointsEU standard for steel connections§3 (bolts), §4 (welds), §6 (splice plates)
IS 800:2007General Construction in Steel — Code of Practice (India)Indian standard for structural steel§10 (connections), §11.5 (splices)
BS 5950-1Structural Use of Steelwork in BuildingUK standard (superseded by EC3 in UK)§6.2 (splices), §6.3 (bolted connections)
AWS D1.1Structural Welding Code — SteelWeld quality, procedure, inspection§3 (design), §4 (fabrication), §6 (UT inspection)

Table 3 — Design standards referenced by this Column Splice Calculator. Primary compliance: AISC 360-22 LRFD.

12 Frequently Asked Questions — Column Splice Design

Column splices should be located approximately 2 to 4 feet above the finished floor level, within the lower quarter of the story height. At this location, the column bending moment is typically near its minimum value (since moment diagrams for laterally loaded frames often have an inflection point near mid-story), which minimizes the moment demand on the splice and reduces the required plate/bolt capacity.

For seismic moment frames (SMF/IMF): AISC 341-22 §D2.5 requires that splices in special moment frames be located at least $h/4$ from beam-to-column connections (where $h$ is the story height), away from the expected plastic hinge zones. The splice must also not fall within a "protected zone" as defined by the EOR. The typical practice of locating splices "4 ft above floor" generally satisfies this requirement in standard story heights.

A bearing splice relies on direct end-to-end contact between the milled or saw-cut column ends to transfer compressive axial loads. Bolts are provided only to maintain alignment and handle any nominal forces — they are not required to transfer significant loads. Bearing splices are economical and suitable for gravity-only columns where no net tension occurs under any load combination.

A bolted flange plate splice transfers all forces (axial, moment, shear) through bolted steel plates welded or bolted to each column flange face and the web. This type handles both compression and tension, making it suitable for LFRS columns, columns with significant moment demand, or any situation where uplift might develop. The bolted flange plate splice is the most common type in multi-story buildings and is what the calculator defaults to.

The minimum splice plate thickness is determined by ensuring the plate satisfies all applicable limit states — gross yielding, net rupture, and block shear — under the governing flange force. As a starting estimate:

  1. Calculate the required plate area: $A_{g,req} = P_{f,comp} / (0.90 F_{y,plate})$
  2. Choose a plate width $b_p$ equal to or slightly less than the column flange width
  3. Solve for minimum thickness: $t_p = A_{g,req} / b_p$
  4. Round up to the nearest standard plate thickness (¼, 5/16, ⅜, 7/16, ½, ╰, ¾ in)
  5. Verify rupture and block shear with this thickness — these may require additional thickness

For the W14×82 example above: $A_{g,req} = 542.3 / (0.90 \times 36) = 16.7$ in² for both plates → $A_{g,plate} = 8.35$ in² each → $t_p = 8.35 / 7.0 = 1.19$ in → round to 1.25 in or use wider plates.

Yes, for buildings assigned to Seismic Design Categories (SDC) C through F per ASCE 7-22, column splices must be designed for seismic demands per AISC 341-22. Key requirements include:

  • SMF columns: Splices must develop the lesser of: (a) the expected strength of the smaller connected member using $R_y F_y A_g$, or (b) the maximum force that can be transferred to the splice by the structural system
  • CJP weld requirement: Flange splices in SMF must generally use CJP groove welds, not fillet or bolted plates, to ensure ductility
  • Net tension: Even in gravity-only columns, seismic overturning can induce significant tension at upper-story splices — always check 0.9D + 1.0Eᵎ load combination
  • Protected zone: Splice must not fall within the protected zone (typically within $d$ of the beam-column joint)

Select "Seismic Frame Column (AISC 341)" from the Column Classification dropdown to activate seismic checks in the calculator.

Per AISC 360-22 Table J3.4, minimum edge distances from center of bolt hole to nearest edge of connected material depend on bolt diameter and hole type:

  • ¾ in bolt, standard hole: 1 in minimum (preferred: 1.25 in)
  • ⅜ in bolt, standard hole: 1.125 in minimum
  • 1 in bolt, standard hole: 1.25 in minimum (preferred: 1.5 in)
  • 1⅛ in bolt, standard hole: 1.5 in minimum

Maximum edge distance per §J3.5: lesser of $12t$ (where $t$ = thickness of connected part) or 6 in for unpainted/non-weathering steel; lesser of $8t$ or 5 in for painted or weathering steel. These limits are checked automatically in the calculator's tearout calculation.

The calculator currently supports W-shape and H-shape columns fully. For HSS (Hollow Structural Section) columns, you can use the "Custom" section type and manually enter the equivalent cross-sectional properties (area, depth, width). However, HSS splices have unique design considerations not yet fully integrated into the current tool version, including:

  • External side plate splices on all four faces (rectangular HSS)
  • Bearing area using projected area $A_{pb}$ per AISC §J7-1
  • Blind fasteners (Hollo-Bolt, Lindapter) when access to inside of HSS is not possible
  • End plate splice per AISC Design Guide 24 (round HSS)

For HSS column splices, cross-reference your results with AISC Design Guide 24 "Hollow Structural Section Connections" and AISC Steel Construction Manual Table 1-11 through 1-13 for section properties.

The calculator uses the exact formulas from AISC 360-22 for all limit states it checks. Results have been verified against standard AISC Manual examples. However, several important caveats apply:

  • Simplified assumptions: The flange force method ($P_f = M_u/(d-t_f)$) is an industry-standard simplification — FEA or more rigorous bolt group analysis may give different results for eccentrically loaded connections
  • Bolt group eccentricity: The calculator uses simplified direct bolt shear without accounting for in-plane eccentricity of the bolt group — for offset bolt patterns, use the Instantaneous Center Method per AISC Part 7
  • Second-order effects: P-Delta amplification at the splice is not computed — the user must include these effects in the input loads from their analysis model
  • Material variability: Standard nominal yield and tensile strengths are used — actual mill test properties vary by heat

For critical LFRS or seismic columns, always have results reviewed by a licensed structural engineer. This tool is intended to augment, not replace, engineering judgment.

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