W920x1076 G40.21 350W â Canadian W-Shape Section Properties
Approximate equivalent of W36X723 per AISC A6. Approx. equivalent of W36X723. Verify against CISC Handbook.
Dimensions (Metric)
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 1061.7 | mm |
| Flange Width (bf) | 452.1 | mm |
| Flange Thickness (tf) | 99.1 | mm |
| Web Thickness (tw) | 55.1 | mm |
| Cross-Sectional Area (A) | 1374.3 | cmÃÂÃÂÃÂò |
| Mass | 1075.8 | kg/m |
Elastic Section Properties (Metric)
| Property | Strong Axis (X-X) | Weak Axis (Y-Y) | Unit |
|---|---|---|---|
| Moment of Inertia (I) | 2,384,998 | 154,005 | cmÃÂâÃÂÃÂÃÂô |
| Elastic Section Modulus (S) | 44,900 | 6,817 | cmÃÂÃÂÃÂó |
| Plastic Section Modulus (Z) | 53,585 | 10,783 | cmÃÂÃÂÃÂó |
| Radius of Gyration (r) | 41.66 | 10.59 | cm |
Torsional Properties
| Property | Value | Unit |
|---|---|---|
| Torsional Constant (J) | 32,674 | cmÃÂâÃÂÃÂÃÂô |
| Warping Constant (Cw) | 357,105,000 | cmÃÂâÃÂÃÂÃÂö |
| Distance Between Flange Centroids (ho) | 96.27 | cm |
| Effective Radius (rts) | 12.85 | cm |
Imperial Reference
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 41.80 | in |
| Flange Width (bf) | 17.80 | in |
| Area (A) | 213.00 | inÃÂÃÂÃÂò |
| Weight | 723 | lb/ft |
Section Profile Summary
Hot-rolled W-shape with Sx = 44,900 cmÃÂó. The section is a practical choice for primary framing in multi-storey buildings, crane girders, and bridge stringers.
At 1061.7 mm deep and 1075.8 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 | 18,755 kNÃÂ÷m |
| Deflection | ÃÂà= 5wLâÃÂô/(384EIx) | Use Ix = 2,384,998 cmâÃÂô |
| Torsion | St. Venant = GJ/L | J = 32,674 cmâÃÂô |
| Column buckling | KL/r âÃÂàFcr | r_x = 41.66 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 âÃÂà445.5 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 — w920x1076
Scenario: Multi-storey car park — asphalt wearing surface included. Simply supported wide flange, 20.2 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 = 20172 mm (20.2 m)
- Total service load w = 23.0 kN/m
- Live load portion w_L = 6.8 kN/m
- Section w920x1076: Ix = 23850.0 ÃÂà10âÃÂö mmâÃÂô, Sx = 44,900,000 mmÃÂó, Zx = 53,585,000 mmÃÂó
- Steel: fy = 350 MPa, E = 200,000 MPa
- Design moment resistance: ÃÂÃÂMn = 0.9 ÃÂàZx ÃÂàfy = 16,879 kNÃÂ÷m
Step 1 — Live load deflection:
ÃÂÃÂ_LL = 5 w_L LâÃÂô / (384 E Ix)
ÃÂÃÂ_LL = 5 ÃÂà6.8 ÃÂà(20172)âÃÂô / (384 ÃÂà200000 ÃÂà23,849,980,000)
ÃÂÃÂ_LL = 3.1 mm
Step 2 — Deflection limit (L/300):
ÃÂÃÂ_limit = L / 300 = 20172 / 300 = 67.2 mm
Step 3 — Dead + live deflection:
ÃÂÃÂ_total = 10.4 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 = 16,879 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.