Stiffener Design — Bearing, Transverse & Longitudinal Stiffeners
Transverse stiffener sizing, bearing stiffener design, and longitudinal stiffeners for plate girders. AISC 360 Chapters G and J provisions, worked examples, and cross-code comparison.
Why stiffeners are needed
Stiffeners are plates welded to the web of a beam or girder to prevent local web failures. Without stiffeners, deep thin webs fail by three mechanisms:
- Web local yielding -- the web crushes directly under a concentrated load because the bearing area is insufficient. Governed by AISC 360 Section J10.2.
- Web crippling -- the web buckles locally in a region adjacent to the loaded flange. Governed by AISC 360 Section J10.3.
- Web sidesway buckling -- the compression flange buckles laterally due to concentrated load applied to one flange. Governed by AISC 360 Section J10.4.
Additionally, deep girder webs (d/tw > 50-60) may require transverse stiffeners to develop the full post-buckling shear strength (tension field action) per AISC 360 Section G2.2, and longitudinal stiffeners to increase the web bending capacity in very slender plate girders.
Types of stiffeners
Bearing stiffeners
Bearing stiffeners are fitted to the top and bottom flanges at points of concentrated load (supports, point loads from columns or beams). They act as short columns transferring the load from the top flange through the web to the bottom flange. AISC 360 Section J10.8 requires bearing stiffeners when the web fails any of the J10.2 through J10.5 checks.
Design the bearing stiffener as a column with an effective cross-section consisting of the stiffener plates plus a strip of web (25tw on each side of the stiffener per AISC, or 15tw per AS 4100). The column effective length is taken as 0.75h (where h is the clear web depth) because the flanges provide rotational restraint.
Transverse stiffeners
Transverse stiffeners are welded to the web (but not necessarily to the flanges) at regular intervals to subdivide the web into panels for shear resistance. They allow the engineer to take advantage of tension field action -- the post-buckling shear capacity where the web acts like a diagonal tension brace after initial web buckling.
AISC 360 Section G2.2 permits tension field action when intermediate stiffeners are provided. Without stiffeners, the web shear capacity is limited to the buckling strength alone. With stiffeners, the capacity can be 1.5 to 2 times the buckling strength.
Longitudinal stiffeners
Longitudinal stiffeners run parallel to the flanges along the length of the girder. They divide the web into two panels for bending compression buckling. Rarely needed for standard rolled sections, but used in deep plate girders (d > 1500 mm) where the web depth-to-thickness ratio exceeds the slender limit.
Bearing stiffener sizing table
Minimum stiffener dimensions for common beams (A36, Fy = 36 ksi)
| Beam | d (in) | tw (in) | Min bst (in) | Min tst (in) | Typical Stiffener | Effective A (in^2) |
|---|---|---|---|---|---|---|
| W12x26 | 12.2 | 0.230 | 2.17 | 0.18 | 2-1/2" x 1/4" | 3.55 |
| W16x40 | 16.0 | 0.305 | 2.33 | 0.19 | 2-1/2" x 1/4" | 4.33 |
| W18x50 | 18.0 | 0.355 | 2.56 | 0.21 | 3" x 1/4" | 5.37 |
| W21x62 | 21.0 | 0.400 | 2.58 | 0.22 | 3" x 1/4" | 5.80 |
| W24x76 | 23.9 | 0.440 | 2.89 | 0.24 | 3" x 5/16" | 7.51 |
| W24x131 | 25.4 | 0.605 | 2.86 | 0.24 | 3" x 5/16" | 10.2 |
| W27x94 | 26.7 | 0.490 | 3.11 | 0.26 | 3-1/2" x 5/16" | 8.72 |
| W30x90 | 29.5 | 0.470 | 3.43 | 0.28 | 3-1/2" x 5/16" | 8.58 |
| W33x118 | 33.3 | 0.550 | 3.66 | 0.30 | 4" x 5/16" | 10.9 |
| W36x135 | 35.6 | 0.600 | 3.73 | 0.31 | 4" x 3/8" | 13.9 |
bst >= bf/3 - tw/2. tst >= bst / (0.56 * sqrt(E/Fy)). For Fy = 36 ksi, tst >= bst/15.9. For Fy = 50 ksi, tst >= bst/13.5.
Bearing stiffener capacity table
| Beam + Stiffener | Effective A (in^2) | KL/r | phiPn (kip) |
|---|---|---|---|
| W18x50 + 2x(3"x1/4") | 5.37 | 3.8 | 174 |
| W24x76 + 2x(3"x5/16") | 7.51 | 3.2 | 243 |
| W24x131 + 2x(3"x5/16") | 10.2 | 2.1 | 330 |
| W30x90 + 2x(3.5"x5/16") | 8.58 | 3.5 | 278 |
| W36x135 + 2x(4"x3/8") | 13.9 | 2.4 | 450 |
All stiffeners very stocky (KL/r < 5), so phiPn is approximately 0.90 _ Fy _ A.
When stiffeners are required
Web checks that trigger bearing stiffeners (AISC J10)
| Check | Section | phi | Triggers Stiffeners When |
|---|---|---|---|
| Web local yielding | J10.2 | 1.00 | Ru > phi*Rn (interior) |
| Web crippling | J10.3 | 0.75 | Ru > phi*Rn |
| Sidesway buckling | J10.4 | 0.85 | Ru > phi*Rn |
| Web compression | J10.5 | 0.90 | Ru > phi*Rn |
| Web panel shear | G2.1 | 1.00 | Vu > phi*Vn |
When transverse stiffeners are needed for shear
| h/tw Range | Stiffener Requirement | Shear Basis |
|---|---|---|
| h/tw <= 2.24*sqrt(E/Fy) | Not required (rolled shapes) | Cv1 = 1.0, full shear |
| 53.9 < h/tw < 260 | Optional: use to increase shear capacity | Tension field action |
| h/tw > 260 | Required per AISC G2.2 | Panel buckling + TFA |
| h/tw > 360 | Not permitted without longitudinal stiffeners | Code limit |
For Fy = 50 ksi: 2.24*sqrt(E/Fy) = 53.9. Nearly all standard W-shapes have h/tw below this threshold.
Transverse stiffener requirements (AISC G2.2)
Minimum dimensions
bst >= d/3 - tw/2 (per side)
tst >= bst / (0.56 * sqrt(E/Fy))
bst/tst <= 0.56 * sqrt(E/Fy)
Spacing requirements
| a/h Ratio | Shear Behavior | Notes |
|---|---|---|
| a/h <= 1.0 | Tension field fully develops | Maximum shear benefit |
| a/h = 1.5 | Partial tension field | Common spacing for girders |
| a/h = 2.0 | Limited tension field | Minimum for TFA credit |
| a/h = 3.0 | No tension field | Buckling-only capacity |
Where a = stiffener spacing, h = clear web depth. Closer spacing = higher shear capacity.
Stiffener moment of inertia requirement
Ist >= a * tw^3 * (2.5 / (a/h)^2 - 2) >= 0
This ensures the stiffener is stiff enough to act as a nodal line for the web buckling mode.
Worked example -- bearing stiffener at beam support
Beam: W24x62 (A992), d = 23.74 in, tw = 0.430 in, tf = 0.590 in, h/tw = 50.0. Support reaction Ru = 120 kips. Bearing length N = 3.5 in.
Web local yielding (J10-2, at support): phi*Rn = 1.0 x (2.5 x 1.34 + 3.5) x 50 x 0.430 = 147 kips > 120 kips. OK.
Web crippling (J10-4, at support): phi*Rn = 0.75 x 0.40 x 0.430^2 x [1 + 3(3.5/23.74)(0.430/0.590)^1.5] x sqrt(29000 x 50 x 0.590/0.430) = 0.75 x 0.0739 x 1.316 x 141.8 = 10.3 kips. Far less than 120 kips -- web crippling fails.
Bearing stiffeners required. Try 2 plates, 5" x 1/2" each side, A36.
Effective section: Stiffener area = 2 x 5.0 x 0.50 = 5.0 in^2. Web strip = 25 x 0.430 on each side = 9.25 in^2. Total A = 14.25 in^2.
KL/r = 0.75 x (23.74 - 1.18) / 5.32 = 3.2. Very stocky. phiPn = 0.90 x 36 x 14.25 = 462 kips >> 120 kips OK.
Worked example -- transverse stiffener for plate girder
Built-up plate girder: d = 72 in, tw = 3/8 in (0.375 in), h = 70 in, h/tw = 187. Stiffener spacing a = 42 in (a/h = 0.60).
Stiffener dimensions: bst >= 70/3 - 0.375/2 = 23.1 in... wait, that's for bearing stiffeners. For transverse: bst per G2.2, Ist >= a _ tw^3 _ (2.5/(a/h)^2 - 2) = 42 x 0.375^3 x (2.5/0.36 - 2) = 42 x 0.0527 x 4.94 = 10.95 in^4.
Try single-sided stiffener 4" x 3/8": Ist = 0.375 x 4.0^3 / 3 = 8.0 in^4. Insufficient. Try 5" x 3/8": Ist = 0.375 x 5.0^3 / 3 = 15.6 in^4 > 10.95. OK.
For double-sided stiffeners 3" x 5/16" each: Ist = 2 x (0.3125 x 3.0^3/3 + 0.3125 x 3.0 x (0.375/2 + 1.5)^2) = 2 x (2.81 + 2.43) = 10.48. Close but slightly insufficient. Use 3-1/2" x 5/16" each side.
Weld requirements for stiffeners
| Stiffener Type | Flange Connection | Web Connection |
|---|---|---|
| Bearing | Full bearing or CJP weld | Fillet weld, both sides |
| Transverse | Not required (stop short) | Fillet weld, both sides |
| Longitudinal | Not typically connected | Fillet weld, one side |
Minimum fillet weld size per AISC Table J2.4
| Thinner Part Thickness | Minimum Fillet Weld Size |
|---|---|
| 1/8" to 3/16" | 1/8" |
| 3/16" to 1/4" | 3/16" |
| 1/4" to 1/2" | 1/4" |
| Over 1/2" to 3/4" | 5/16" |
| Over 3/4" | 3/8" |
Fatigue consideration
Welding transverse stiffeners to the tension flange creates a Category C fatigue detail (AISC Appendix 3, Table A-3.1). For crane girders and bridge beams, stop the stiffener 4tw to 6tw short of the tension flange to maintain Category B at the web-to-flange weld.
Multi-code comparison
| Provision | AISC 360-22 | AS 4100:2020 | EN 1993-1-5 | CSA S16-19 |
|---|---|---|---|---|
| Bearing stiffener | J10.8 | Cl. 5.13 (load-bearing stiffener) | Cl. 9 (transverse forces) | Cl. 14.4 |
| Transverse stiffener | G2.2 (for Vn with TFA) | Cl. 5.11.5 (intermediate stiffeners) | Cl. 9.3 (transverse stiffeners) | Cl. 13.4.1.2 |
| Web strip for column | 25tw each side | 15tw each side | Per effective width | Similar to AISC |
| Effective length | 0.75h | Panel length x restraint factor | Panel length x buckling curve | 0.75h |
| Stiffener width limit | bst >= d/3 - tw/2 | bst >= (d/2 - tw)/5 | Cl. 9.2.1 (outstand limits) | Cl. 14.4.1 |
| Stiffener thickness | tst >= bst * sqrt(Fy/E) / 0.56 | tst >= bst / 15 | bst/tst per Table 5.2 | tst >= bst * sqrt(Fy/340) / 15 |
| Tension field action | G2.2 permitted | Cl. 5.11.5 permitted | Not explicitly (uses rotated stress field) | Per S16 Cl. 13.4 |
Cross-code bearing stiffener capacity: W24x76 + 2x(3"x5/16")
| Code | phiPn (kip) | Method |
|---|---|---|
| AISC 360 | 243 | Column analogy, KL = 0.75h |
| AS 4100 | ~255 | Bearing + buckling, phi = 0.90 |
| EN 1993-1-5 | ~240 | Effective column, gamma_M1=1.0 |
| CSA S16 | ~250 | Column analogy, phi = 0.90 |
Common mistakes
Welding transverse stiffeners to the tension flange in fatigue-sensitive locations. Creates a Category C fatigue detail. For crane girders and bridge beams, stop the stiffener 4tw to 6tw short of the tension flange.
Omitting the bearing check at interior point loads. Engineers often check supports for web crippling but forget that any column or beam bearing on the girder flange applies the same concentrated load. Every point load location needs the J10.2-J10.5 checks.
Using too-thin stiffener plates. Stiffener outstands must satisfy the compactness limit to prevent local buckling before the stiffener reaches its design load. The thickness limit is bst * sqrt(Fy/E) / 0.56 per AISC.
Not fitting bearing stiffeners to both flanges. Bearing stiffeners must be in contact with (or welded to) both flanges to transfer the full reaction. A stiffener welded to the web but not bearing on the flanges is a transverse stiffener, not a bearing stiffener.
Ignoring the web strip contribution. The effective column section includes a strip of web (25tw each side). Forgetting this overestimates the required stiffener area, but ignoring it entirely (designing the stiffener plate alone) is unconservative for the bearing check.
Using single-sided stiffeners for bearing. Bearing stiffeners should be placed on both sides of the web to avoid eccentricity. Single-sided stiffeners introduce bending in the effective column.
Frequently asked questions
When do I need bearing stiffeners? When the required reaction or concentrated load exceeds the web local yielding (J10.2) or web crippling (J10.3) capacity. For W18 and smaller sections with thin webs, stiffeners are often needed at end reactions.
What is the difference between bearing and transverse stiffeners? Bearing stiffeners are fitted to both flanges and resist concentrated loads. Transverse stiffeners are welded to the web only and increase shear capacity through tension field action. They serve different purposes and have different design requirements.
Do standard rolled W-shapes need transverse stiffeners? Almost never. The h/tw ratio for standard W-shapes is below 53.9 at Fy = 50 ksi, giving Cv1 = 1.0 and full shear capacity without stiffeners. Only plate girders and built-up sections typically need them.
What is tension field action? After a web panel buckles in shear, the diagonal buckles form a tension field that acts like diagonal bracing. The transverse stiffeners act as vertical members of this truss. This post-buckling strength is permitted by AISC G2.2 and significantly increases the design shear capacity.
Can I use partial-depth stiffeners? Partial-depth stiffeners are not permitted for bearing stiffeners (must be full depth). Transverse stiffeners may be partial depth in some codes, but AISC G2.2 requires full depth for tension field action.
How are stiffeners attached to the beam? Bearing stiffeners are fillet-welded to the web and either milled-to-bear or welded to both flanges. Transverse stiffeners are fillet-welded to the web, typically with a gap at the tension flange for fatigue.
Run this calculation
Related references
- Plate Girder Design
- Beam Web Design
- Coped Beam End Design
- Lateral-Torsional Buckling
- Steel Crane Girder
- Weld Capacity
- Connection Types
- Welded Connections Calculator
- 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.