W920x1269 G40.21 350W â Canadian W-Shape Section Properties
Approximate equivalent of W36X853 per AISC A6. Approx. equivalent of W36X853. Verify against CISC Handbook.
Dimensions (Metric)
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 1094.7 | mm |
| Flange Width (bf) | 462.3 | mm |
| Flange Thickness (tf) | 115.1 | mm |
| Web Thickness (tw) | 64.0 | mm |
| Cross-Sectional Area (A) | 1619.5 | cmÃÂÃÂÃÂò |
| Mass | 1269.3 | kg/m |
Elastic Section Properties (Metric)
| Property | Strong Axis (X-X) | Weak Axis (Y-Y) | Unit |
|---|---|---|---|
| Moment of Inertia (I) | 2,913,610 | 191,466 | cmÃÂâÃÂÃÂÃÂô |
| Elastic Section Modulus (S) | 53,258 | 8,275 | cmÃÂÃÂÃÂó |
| Plastic Section Modulus (Z) | 64,237 | 13,192 | cmÃÂÃÂÃÂó |
| Radius of Gyration (r) | 42.42 | 10.87 | cm |
Torsional Properties
| Property | Value | Unit |
|---|---|---|
| Torsional Constant (J) | 51,613 | cmÃÂâÃÂÃÂÃÂô |
| Warping Constant (Cw) | 459,135,000 | cmÃÂâÃÂÃÂÃÂö |
| Distance Between Flange Centroids (ho) | 98.04 | cm |
| Effective Radius (rts) | 13.26 | cm |
Imperial Reference
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 43.10 | in |
| Flange Width (bf) | 18.20 | in |
| Area (A) | 251.00 | inÃÂÃÂÃÂò |
| Weight | 853 | lb/ft |
Section Profile Summary
A wide flange with parallel flange faces — makes bolted and welded connections straightforward to detail. At Ix = 2,913,610 cmâÃÂô, the strong-axis stiffness places it in the heavy beam category for preliminary sizing.
At 1094.7 mm deep and 1269.3 kg/m, this is a heavy section for primary framing — transfer beams, long-span roof girders, and major bridge stringers.
Key Design Checks (CSA S16)
| Check | Formula | This Section |
|---|---|---|
| Plastic moment | Mp = Zx ÃÂàFy | 22,483 kNÃÂ÷m |
| Deflection | ÃÂà= 5wLâÃÂô/(384EIx) | Use Ix = 2,913,610 cmâÃÂô |
| Torsion | St. Venant = GJ/L | J = 51,613 cmâÃÂô |
| Column buckling | KL/r âÃÂàFcr | r_x = 42.42 cm |
Design Notes
- Compactness: Most W-shapes in ASTM A992 satisfy the compact limits in CSA S16 Table B4.1b for flexure (ÃÂû âÃÂä ÃÂûp). This allows full plastic moment Mp development before local buckling occurs.
- Flange local buckling (FLB): The flange slenderness ratio bf/2tf is compared against ÃÂûpf = 0.38âÃÂÃÂ(E/Fy) âÃÂà9.0 for compact sections.
- Web local buckling (WLB): h/tw is checked against ÃÂûpw = 3.76âÃÂÃÂ(E/Fy) âÃÂà72 for flexure, and a more restrictive limit for uniform compression.
- Lateral-torsional buckling (LTB): Lp âÃÂà457.3 cm (plastic limit). For unbraced lengths âÃÂä Lp, the full plastic moment is available. Between Lp and Lr, linear interpolation per CSA S16 Eq. F2-2 applies.
Verification (CSA S16): All designs using this section must be verified by a licensed Professional Engineer. Before finalizing member selection, check beam-column interaction (P-M), lateral-torsional buckling, serviceability deflections, and all connection limit states. See Engineering Disclaimer.
Worked Example: Car park beam — w920x1269
Scenario: Multi-storey car park — asphalt wearing surface included. Simply supported wide flange, 20.8 m span, 2.7 m tributary width. Service loads: 6.0 kPa dead + 2.5 kPa live (23.0 kN/m total).
Given:
- Span L = 20799 mm (20.8 m)
- Total service load w = 23.0 kN/m
- Live load portion w_L = 6.8 kN/m
- Section w920x1269: Ix = 29136.1 ÃÂà10âÃÂö mmâÃÂô, Sx = 53,258,000 mmÃÂó, Zx = 64,237,000 mmÃÂó
- Steel: fy = 350 MPa, E = 200,000 MPa
- Design moment resistance: ÃÂÃÂMn = 0.9 ÃÂàZx ÃÂàfy = 20,235 kNÃÂ÷m
Step 1 — Live load deflection:
ÃÂÃÂ_LL = 5 w_L LâÃÂô / (384 E Ix)
ÃÂÃÂ_LL = 5 ÃÂà6.8 ÃÂà(20799)âÃÂô / (384 ÃÂà200000 ÃÂà29,136,100,000)
ÃÂÃÂ_LL = 2.8 mm
Step 2 — Deflection limit (L/300):
ÃÂÃÂ_limit = L / 300 = 20799 / 300 = 69.3 mm
Step 3 — Dead + live deflection:
ÃÂÃÂ_total = 9.6 mm
Step 4 — Design check:
âÃÂàLive load deflection is within the L/300 limit.
Verify the design moment M*_Ed (from factored loads 1.35G + 1.5Q per CSA S16) does not exceed ÃÂÃÂMn = 20,235 kNÃÂ÷m. Also confirm shear resistance and bearing details at the supports.
Related Resources
- Steel Beam Capacity Calculator
- Column Capacity Calculator
- Beam Deflection Calculator
- Section Properties Calculator
- Steel Grades Reference
- Section Comparison Tool
Design Resources
- Section Properties Lookup — Compare with similar sections
- Steel Beam Sizes Reference — Standard beam dimensions
Educational reference only. Verify all section properties against the current CSA S16 Manual and mill certificates before design. Results are PRELIMINARY — NOT FOR CONSTRUCTION.