W360x551 G40.21 350W â Canadian W-Shape Section Properties
Approximate equivalent of W14X370 per AISC A6. Approx. equivalent of W14X370. Verify against CISC Handbook.
Dimensions (Metric)
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 454.7 | mm |
| Flange Width (bf) | 419.1 | mm |
| Flange Thickness (tf) | 67.6 | mm |
| Web Thickness (tw) | 42.2 | mm |
| Cross-Sectional Area (A) | 703.3 | cmÃÂÃÂÃÂò |
| Mass | 550.6 | kg/m |
Elastic Section Properties (Metric)
| Property | Strong Axis (X-X) | Weak Axis (Y-Y) | Unit |
|---|---|---|---|
| Moment of Inertia (I) | 226,429 | 82,830 | cmÃÂâÃÂÃÂÃÂô |
| Elastic Section Modulus (S) | 9,947 | 3,949 | cmÃÂÃÂÃÂó |
| Plastic Section Modulus (Z) | 12,061 | 6,063 | cmÃÂÃÂÃÂó |
| Radius of Gyration (r) | 17.96 | 10.85 | cm |
Torsional Properties
| Property | Value | Unit |
|---|---|---|
| Torsional Constant (J) | 9,240 | cmÃÂâÃÂÃÂÃÂô |
| Warping Constant (Cw) | 31,146,000 | cmÃÂâÃÂÃÂÃÂö |
| Distance Between Flange Centroids (ho) | 38.61 | cm |
| Effective Radius (rts) | 12.70 | cm |
Imperial Reference
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 17.90 | in |
| Flange Width (bf) | 16.50 | in |
| Area (A) | 109.00 | inÃÂÃÂÃÂò |
| Weight | 370 | lb/ft |
Section Profile Summary
With Ix = 226,429 cmâÃÂô, this wide flange is a practical choice for long-span floor beams and transfer girders where stiffness controls the design.
At 454.7 mm deep, this section is common for floor beams, portal frame rafters, and columns in commercial and industrial buildings.
Key Design Checks (CSA S16)
| Check | Formula | This Section |
|---|---|---|
| Plastic moment | Mp = Zx ÃÂàFy | 4,221 kNÃÂ÷m |
| Deflection | ÃÂà= 5wLâÃÂô/(384EIx) | Use Ix = 226,429 cmâÃÂô |
| Torsion | St. Venant = GJ/L | J = 9,240 cmâÃÂô |
| Column buckling | KL/r âÃÂàFcr | r_x = 17.96 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 âÃÂà456.5 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: Office floor beam — w360x551
Scenario: Commercial office floor — typical open-plan layout with raised floor. Simply supported wide flange, 10.9 m span, 2.4 m tributary width. Service loads: 4.0 kPa dead + 3.0 kPa live (16.8 kN/m total).
Given:
- Span L = 10913 mm (10.9 m)
- Total service load w = 16.8 kN/m
- Live load portion w_L = 7.2 kN/m
- Section w360x551: Ix = 2264.3 ÃÂà10âÃÂö mmâÃÂô, Sx = 9,947,000 mmÃÂó, Zx = 12,061,000 mmÃÂó
- Steel: fy = 350 MPa, E = 200,000 MPa
- Design moment resistance: ÃÂÃÂMn = 0.9 ÃÂàZx ÃÂàfy = 3,799 kNÃÂ÷m
Step 1 — Live load deflection:
ÃÂÃÂ_LL = 5 w_L LâÃÂô / (384 E Ix)
ÃÂÃÂ_LL = 5 ÃÂà7.2 ÃÂà(10913)âÃÂô / (384 ÃÂà200000 ÃÂà2,264,290,000)
ÃÂÃÂ_LL = 2.9 mm
Step 2 — Deflection limit (L/300):
ÃÂÃÂ_limit = L / 300 = 10913 / 300 = 36.4 mm
Step 3 — Dead + live deflection:
ÃÂÃÂ_total = 6.9 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 = 3,799 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.