Steel Framed Walls — Steel Plate Shear Walls and CFS Stud Walls
Steel framed walls serve two distinct roles in construction: as lateral force-resisting elements (steel plate shear walls, SPSW) and as non-structural or lightly-structural partitions (cold-formed steel stud walls). This reference covers both systems, their design provisions, and the practical engineering checks required for each.
Steel plate shear walls (SPSW) per AISC 341
A steel plate shear wall consists of a thin steel infill plate bounded by boundary columns (called vertical boundary elements, VBE) and boundary beams (horizontal boundary elements, HBE). Under lateral load, the thin plate buckles and develops a diagonal tension field that resists story shear.
Design principles
The infill plate is designed to yield in tension along the diagonal. The capacity per AISC 341-22 Section F5 is:
Vn = 0.42 * Fy * tw * Lcf * sin(2 * alpha)
where:
- F_y = plate yield strength (typically A36, Fy = 36 ksi)
- t_w = plate thickness
- L_cf = clear span between VBE flanges
- alpha = angle of tension field from vertical (approximately 40-45 degrees for typical geometry)
Worked example — SPSW infill plate sizing
Given: 3-story building, SDC D. Story shear at Level 2: V_u = 480 kips. Bay width = 20 ft (L_cf = 19 ft = 228 in. after deducting column flanges). Story height = 13 ft. A36 infill plate. R = 7, Omega_0 = 2 (SPSW system factors per ASCE 7 Table 12.2-1).
Step 1 — Required plate thickness: Assuming alpha = 42 degrees: sin(2 * 42) = sin(84) = 0.995
phi _ V_n = phi _ 0.42 _ Fy _ tw * Lcf * sin(2 _ alpha) 480 = 0.90 _ 0.42 _ 36 _ t*w * 228 _ 0.995 480 = 0.90 _ 3,445 _ t_w 480 = 3,100 * t_w t_w = 480 / 3,100 = 0.155 in.
Use 3/16 in. (0.1875 in.) plate. This is close to the practical minimum for welded plate construction.
Step 2 — VBE (column) design: The boundary columns must resist the horizontal component of the tension field plus frame action. Per AISC 341 Section F5.4b, the VBE must be designed for the forces corresponding to full yielding of the infill plates above and below, using Ry * Fy (expected yield = 1.5 * 36 = 54 ksi for A36).
Step 3 — HBE (beam) design: The boundary beams must transfer the tension field forces from the plate to the columns. They experience both the uniform pull from the tension field (acting like a beam on elastic foundation) and the frame moments from lateral drift.
Cold-formed steel (CFS) stud walls
CFS stud walls use light-gage steel framing (typically 20-12 gage, 33-50 ksi) for interior partitions, exterior curtain walls, and load-bearing walls in low-rise construction.
Design per AISI S100 and S240
CFS studs act as columns subject to axial load and/or beam-columns when wind or seismic out-of-plane loading is present. Key limit states include:
- Flexural buckling (Euler column buckling about the weak axis)
- Flexural-torsional buckling (for singly-symmetric C and Z studs)
- Distortional buckling (lip/flange distortion, unique to CFS)
- Local buckling (flat element buckling)
Worked example — CFS exterior stud wall
Given: 600S162-54 stud (6 in. deep, 1.625 in. flange, 54 mil = 0.054 in., Fy = 50 ksi). Stud height = 12 ft. Studs at 16 in. o.c. Wind pressure = 25 psf. Axial dead load from parapet = 200 lb per stud. Bridging at mid-height and third points.
Step 1 — Section properties (from AISI S100 tables): A_g = 0.840 in.^2, I_x = 5.91 in.^4, S_x = 1.97 in.^3, r_x = 2.65 in., r_y = 0.727 in.
Step 2 — Axial capacity (weak axis governs with bridging at third points): Unbraced length for weak axis: L_y = 12/3 = 4 ft = 48 in. (bridging at third points) KL/r_y = 1.0 * 48 / 0.727 = 66.0
F*e = pi^2 * E / (KL/r)^2 = pi^2 _ 29500 / 66^2 = 291,100 / 4,356 = 66.8 ksi lambda_c = sqrt(Fy / F_e) = sqrt(50 / 66.8) = 0.865
Since lambda*c <= 1.5: F_n = 0.658^(lambda_c^2) * Fy = 0.658^0.748 _ 50 = 0.718 * 50 = 35.9 ksi
phi _ P_n = 0.85 _ 35.9 * 0.840 = 25.6 kips >> 0.200 kips (axial demand trivially low)
Step 3 — Flexural capacity (strong axis, wind loading): M*u = w * L^2 / 8 = (25 _ 16/12) / 1000 _ 144^2 / 8 = 0.0333 _ 20,736 / 8 = 86.3 kip-in. Wait — recalculate:
w = 25 psf _ (16/12 ft) = 33.3 lb/ft = 0.0333 kip/ft M_u = 0.0333 _ 12^2 / 8 = 0.0333 * 144 / 8 = 0.600 kip-ft = 7.2 kip-in.
phi _ M_n = 0.90 _ Fy _ S_e (effective section modulus for local buckling check) For this stud with Fy = 50 ksi, S_e approximately = 1.85 in.^3 (slight reduction from local buckling) phi _ M*n = 0.90 * 50 _ 1.85 = 83.3 kip-in. >> 7.2 kip-in. (OK)
Step 4 — Combined axial + bending interaction (AISI S100 Section C5.2.2): Pu / (phi * Pn) + M_u / (phi * M_n) = 0.200/25.6 + 7.2/83.3 = 0.008 + 0.086 = 0.094 < 1.0 (OK — stud is adequate with significant reserve)
Code comparison
| Aspect | AISC 341 (SPSW) / AISI S100 (CFS) | EN 1998-1 / EN 1993-1-3 | AS 4100 / AS 4600 | CSA S16 / CSA S136 |
|---|---|---|---|---|
| SPSW provisions | AISC 341 Section F5 | EN 1998-1 Section 7 (limited) | Not widely codified | CSA S16 Clause 27.9 |
| SPSW R factor | 7.0 | q approximately 5-6 | Not defined (rare use) | Rd * Ro = 5.0 * 1.6 |
| CFS stud design | AISI S100-22 | EN 1993-1-3 | AS/NZS 4600 | CSA S136-16 |
| Distortional buckling | AISI S100 Appendix 2 | EN 1993-1-3 Section 5.5 | AS 4600 Section 3 | CSA S136 Section C |
| CFS seismic | AISI S400 | EN 1998-1 (general) | No specific standard | AISI S400 (adopted) |
Key clause references
- AISC 341-22 Section F5 — Steel plate shear wall design
- AISI S100-22 — North American Specification for CFS structural members
- AISI S240 — CFS framing standard (connection and assembly provisions)
- AISI S400 — Seismic design of CFS lateral systems
- IBC Section 2211 — CFS construction requirements
- EN 1993-1-3 — Supplementary rules for cold-formed members
Topic-specific pitfalls
- Using A992 plate for SPSW instead of A36 — A36 plate (Fy = 36 ksi) is preferred because the lower yield strength produces a thinner tension field, reducing demands on boundary elements. A992 (Fy = 50 ksi) plate results in higher overstrength demands on the columns and beams.
- Ignoring distortional buckling in CFS stud design — traditional effective width methods miss the distortional buckling mode (lip-flange rotation). AISI S100 Appendix 2 provides the Direct Strength Method (DSM), which captures all three buckling modes (local, distortional, global). Omitting the distortional check can be unconservative by 10-20%.
- Not providing CFS bridging at the specified intervals — without bridging, the weak-axis unbraced length equals the full stud height, and flexural-torsional buckling capacity drops dramatically. Bridging must be installed before load is applied.
- Detailing SPSW fish plate connections without accounting for plate overstrength — the welds or bolts connecting the infill plate to the boundary elements must develop Ry * Fy * t_w (expected yield of the plate), not just the design force. For A36 plate, R_y = 1.5, so the connection demand is 1.5 * 36 = 54 ksi times the plate area.
Stud wall design per AISI S100
Cold-formed steel (CFS) stud walls are designed per AISI S100 (North American Specification for the Design of Cold-Formed Steel Structural Members) and AISI S240 (Standard for Cold-Formed Steel Framing). The design process involves checking multiple limit states that do not occur in hot-rolled steel design, including distortional buckling and local buckling of thin elements.
Design procedure summary:
- Determine factored loads (axial, bending, shear) from gravity and lateral analysis
- Select a trial stud size and compute full section properties
- Calculate effective section properties using the effective width method (AISI S100 Section B2) or the Direct Strength Method (AISI S100 Appendix 2)
- Check each limit state: global buckling, local buckling, distortional buckling, and their interactions
- Check combined axial and bending interaction (AISI S100 Section C5.2)
- Verify deflection limits under service loads
Stud size selection table
| Stud Designation | Depth (in) | Flange (in) | Thickness (mil/in) | Fy (ksi) | Ag (in²) | Ix (in⁴) | Sx (in³) | Max Span (ft)¹ |
|---|---|---|---|---|---|---|---|---|
| 800S162-33 | 8.0 | 1.625 | 33 / 0.0346 | 33 | 0.531 | 4.32 | 1.08 | 10-12 |
| 800S162-43 | 8.0 | 1.625 | 43 / 0.0451 | 33 | 0.692 | 5.63 | 1.41 | 12-14 |
| 800S162-54 | 8.0 | 1.625 | 54 / 0.0566 | 50 | 0.840 | 5.91 | 1.97 | 14-16 |
| 800S162-68 | 8.0 | 1.625 | 68 / 0.0713 | 50 | 1.054 | 8.67 | 2.17 | 16-18 |
| 1000S162-43 | 10.0 | 1.625 | 43 / 0.0451 | 33 | 0.747 | 9.14 | 1.83 | 14-16 |
| 1000S162-54 | 10.0 | 1.625 | 54 / 0.0566 | 50 | 0.939 | 11.42 | 2.28 | 16-18 |
| 1000S162-68 | 10.0 | 1.625 | 68 / 0.0713 | 50 | 1.174 | 14.26 | 2.85 | 18-20 |
| 1000S162-97 | 10.0 | 1.625 | 97 / 0.1017 | 50 | 1.674 | 20.13 | 4.03 | 20-22 |
| 1200S200-54 | 12.0 | 2.0 | 54 / 0.0566 | 50 | 1.115 | 19.76 | 3.29 | 18-20 |
| 1200S200-68 | 12.0 | 2.0 | 68 / 0.0713 | 50 | 1.395 | 24.70 | 4.12 | 20-22 |
| 1200S200-97 | 12.0 | 2.0 | 97 / 0.1017 | 50 | 1.989 | 34.92 | 5.82 | 24-26 |
¹ Max span assumes wind load of 25-30 psf, L/240 deflection limit, studs at 16" o.c. Actual spans vary with loading and deflection criteria.
Deflection limit criteria for CFS stud walls
Deflection limits for CFS wall systems are dictated by the supported cladding type and the wall's function (curtain wall vs. load-bearing):
| Wall Type / Cladding | Deflection Limit | Basis |
|---|---|---|
| Curtain wall (glass) | L/175 to L/240 | Glass industry standards (AAMA) |
| Curtain wall (metal panels) | L/120 to L/180 | Metal panel manufacturer specs |
| Curtain wall (brick veneer) | L/360 to L/600 | Brick Institute (BIA) requirements |
| Curtain wall (EIFS/stucco) | L/240 to L/360 | Stucco crack prevention |
| Load-bearing (gypsum board) | L/180 to L/240 | IBC Table 1604.3 |
| Load-bearing (exterior wall) | L/180 to L/360 | IBC Table 1604.3 |
| Party wall / fire wall | L/240 to L/360 | Project-specific |
The controlling deflection limit is typically L/360 for walls supporting brittle finishes (gypsum, plaster, masonry veneer) and L/180 for walls with flexible finishes. Wind load for deflection checks uses the 10-year or 25-year return period wind speed (not the 50-year strength-level wind), per ASCE 7 Commentary.
Curtain wall vs load-bearing wall
| Aspect | Curtain Wall Stud | Load-Bearing Stud |
|---|---|---|
| Primary load | Wind pressure (out-of-plane) | Gravity axial + wind bending |
| Stud size | 600S-33 to 800S-54 (lighter) | 800S-54 to 1200S-97 (heavier) |
| Typical spacing | 16" or 24" o.c. | 12" or 16" o.c. |
| Deflection limit | L/180 to L/360 | L/240 to L/360 |
| Bridging requirement | At mid-height minimum | At third points or quarter points |
| Top track | Slip track (allows deflection) | Standard track (rigid connection) |
| Design code | AISI S100 / AISI S220 (curtain wall) | AISI S100 / AISI S240 |
| Bottom track | Standard track | Reinforced track for bearing |
| Stud thickness | 33-54 mil (20-16 ga) | 54-97 mil (16-12 ga) |
Curtain wall studs are designed for wind pressure as pure flexural members. The top track is typically a "slip track" or "deflection track" that allows the building frame to deflect under gravity loads without transferring axial load to the studs. Load-bearing studs are designed as beam-columns for combined axial compression and wind bending.
Typical spans by stud depth
Practical span capabilities for CFS studs at 16" o.c. with 25 psf wind load and L/240 deflection limit:
| Stud Depth | 33 mil (20 ga) | 43 mil (18 ga) | 54 mil (16 ga) | 68 mil (14 ga) | 97 mil (12 ga) |
|---|---|---|---|---|---|
| 3.625" | 8-9 ft | 9-10 ft | 10-11 ft | 11-12 ft | 12-13 ft |
| 6.0" | 11-13 ft | 13-15 ft | 15-16 ft | 16-18 ft | 18-20 ft |
| 8.0" | 14-16 ft | 16-18 ft | 18-20 ft | 20-22 ft | 22-24 ft |
| 10.0" | 17-19 ft | 19-22 ft | 22-24 ft | 24-26 ft | 26-28 ft |
| 12.0" | 20-23 ft | 23-26 ft | 26-28 ft | 28-30 ft | 30-33 ft |
These spans are approximate and controlled by deflection. Strength (bending capacity) rarely governs for curtain wall applications but may govern for load-bearing walls with heavy axial loads.
Connections: track, bridging, and bracing
Track connections: CFS studs are seated in top and bottom tracks (U-shaped channels). The stud-to-track connection at the ends provides nominal rotational restraint but is typically modeled as a pin for design. For load-bearing walls, the bottom track must transfer the stud reaction to the supporting structure. Clip angles or gusset plates reinforce this connection when loads exceed the track's web crippling capacity.
Bridging types:
| Bridging Type | Description | Restraint Provided |
|---|---|---|
| Flat strap | 1-1/2" min wide metal strap across stud flanges | Lateral bracing only |
| U-channel bridging | Channel bridging member through stud punchouts | Lateral + torsional restraint |
| Channel + flat strap | Channel through punchouts + strap on outside flange | Full restraint |
| Solid blocking | CFS track or stud sections between studs at bridging points | Full restraint + shear transfer |
| Hat channel bridging | Hat-shaped section screwed to stud flanges | Lateral + torsional restraint |
Bridging spacing: AISI S100 requires that the bridging spacing not exceed the spacing at which the stud's weak-axis buckling capacity drops below the design demand. In practice, bridging is provided at 4-6 ft intervals for 8" studs and 5-8 ft intervals for 10-12" studs.
Thermal performance considerations
Steel studs are highly conductive (k = 310 BTU/hr-ft-°F) compared to wood studs (k = 0.8) or insulated cavities (k = 0.03). This creates thermal bridging through the stud, reducing the effective wall R-value significantly:
| Wall Assembly | Cavity R-value | Effective R-value | Reduction |
|---|---|---|---|
| 6" stud, R-19 cavity insulation, no exterior insulation | 19 | 7-9 | 53-63% |
| 6" stud, R-19 cavity, 1" XPS exterior | 19 + 5 | 15-17 | 30-40% |
| 6" stud, R-19 cavity, 2" XPS exterior | 19 + 10 | 22-25 | 14-27% |
| 8" stud, R-25 cavity, 1.5" polyiso exterior | 25 + 9.5 | 22-26 | 17-30% |
To mitigate thermal bridging, continuous exterior insulation (rigid foam board or mineral wool) is specified on the outboard side of the studs. The 2021 IECC requires continuous insulation in most climate zones for steel-framed walls. The colder the climate zone, the more continuous insulation is required. Thermal performance does not affect the structural design of the studs but is a critical building envelope consideration.
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Related references
- How to Verify Calculations
- Transfer Structures
- Column Design Guide
- cold-formed steel framing
- steel beam capacity calculator
- Steel Building Envelope
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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Frequently Asked Questions
What is the recommended design procedure for this structural element?
The standard design procedure follows: (1) establish design criteria including applicable code, material grade, and loading; (2) determine loads and applicable load combinations; (3) analyze the structure for internal forces; (4) check member strength for all applicable limit states; (5) verify serviceability requirements; and (6) detail connections. Computer analysis is recommended for complex structures, but hand calculations should be used for verification of critical elements.
How do different design codes compare for this calculation?
AISC 360 (US), EN 1993 (Eurocode), AS 4100 (Australia), and CSA S16 (Canada) follow similar limit states design philosophy but differ in specific resistance factors, slenderness limits, and partial safety factors. Generally, EN 1993 uses partial factors on both load and resistance sides (γM0 = 1.0, γM1 = 1.0, γM2 = 1.25), while AISC 360 uses a single resistance factor (φ). Engineers should verify which code is adopted in their jurisdiction.