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:

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

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

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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.