W920x1193 G40.21 350W â Canadian W-Shape Section Properties
Approximate equivalent of W36X802 per AISC A6. Approx. equivalent of W36X802. Verify against CISC Handbook.
Dimensions (Metric)
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 1082.0 | mm |
| Flange Width (bf) | 457.2 | mm |
| Flange Thickness (tf) | 109.0 | mm |
| Web Thickness (tw) | 60.5 | mm |
| Cross-Sectional Area (A) | 1522.7 | cmÃÂÃÂÃÂò |
| Mass | 1193.4 | kg/m |
Elastic Section Properties (Metric)
| Property | Strong Axis (X-X) | Weak Axis (Y-Y) | Unit |
|---|---|---|---|
| Moment of Inertia (I) | 2,697,170 | 175,233 | cmÃÂâÃÂÃÂÃÂô |
| Elastic Section Modulus (S) | 49,816 | 7,669 | cmÃÂÃÂÃÂó |
| Plastic Section Modulus (Z) | 59,976 | 12,192 | cmÃÂÃÂÃÂó |
| Radius of Gyration (r) | 42.16 | 10.72 | cm |
Torsional Properties
| Property | Value | Unit |
|---|---|---|
| Torsional Constant (J) | 43,704 | cmÃÂâÃÂÃÂÃÂô |
| Warping Constant (Cw) | 413,490,000 | cmÃÂâÃÂÃÂÃÂö |
| Distance Between Flange Centroids (ho) | 97.28 | cm |
| Effective Radius (rts) | 13.08 | cm |
Imperial Reference
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 42.60 | in |
| Flange Width (bf) | 18.00 | in |
| Area (A) | 236.00 | inÃÂÃÂÃÂò |
| Weight | 802 | lb/ft |
Section Profile Summary
Hot-rolled W-shape with Sx = 49,816 cmÃÂó. The section is suitable for primary framing in multi-storey buildings, crane girders, and bridge stringers.
At 1082 mm deep and 1193.4 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 | 20,992 kNÃÂ÷m |
| Deflection | ÃÂà= 5wLâÃÂô/(384EIx) | Use Ix = 2,697,170 cmâÃÂô |
| Torsion | St. Venant = GJ/L | J = 43,704 cmâÃÂô |
| Column buckling | KL/r âÃÂàFcr | r_x = 42.16 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 âÃÂà451.0 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: Hospital ward beam — w920x1193
Scenario: Hospital ward — strict deflection limits for medical equipment and services. Simply supported wide flange, 27.1 m span, 2.1 m tributary width. Service loads: 4.0 kPa dead + 3.0 kPa live (14.7 kN/m total).
Given:
- Span L = 27050 mm (27.1 m)
- Total service load w = 14.7 kN/m
- Live load portion w_L = 6.3 kN/m
- Section w920x1193: Ix = 26971.7 ÃÂà10âÃÂö mmâÃÂô, Sx = 49,816,000 mmÃÂó, Zx = 59,976,000 mmÃÂó
- Steel: fy = 350 MPa, E = 200,000 MPa
- Design moment resistance: ÃÂÃÂMn = 0.9 ÃÂàZx ÃÂàfy = 18,892 kNÃÂ÷m
Step 1 — Live load deflection:
ÃÂÃÂ_LL = 5 w_L LâÃÂô / (384 E Ix)
ÃÂÃÂ_LL = 5 ÃÂà6.3 ÃÂà(27050)âÃÂô / (384 ÃÂà200000 ÃÂà26,971,700,000)
ÃÂÃÂ_LL = 8.1 mm
Step 2 — Deflection limit (L/360):
ÃÂÃÂ_limit = L / 360 = 27050 / 360 = 75.1 mm
Step 3 — Dead + live deflection:
ÃÂÃÂ_total = 19.0 mm
Step 4 — Design check:
âÃÂàLive load deflection is within the L/360 limit.
Verify the design moment M*_Ed (from factored loads 1.35G + 1.5Q per CSA S16) does not exceed ÃÂÃÂMn = 18,892 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.