W460x260 G40.21 350W â Canadian W-Shape Section Properties
Approximate equivalent of W18X175 per AISC A6. Approx. equivalent of W18X175. Verify against CISC Handbook.
Dimensions (Metric)
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 508.0 | mm |
| Flange Width (bf) | 289.6 | mm |
| Flange Thickness (tf) | 40.4 | mm |
| Web Thickness (tw) | 22.6 | mm |
| Cross-Sectional Area (A) | 331.6 | cmÃÂÃÂÃÂò |
| Mass | 260.4 | kg/m |
Elastic Section Properties (Metric)
| Property | Strong Axis (X-X) | Weak Axis (Y-Y) | Unit |
|---|---|---|---|
| Moment of Inertia (I) | 143,599 | 16,275 | cmÃÂâÃÂÃÂÃÂô |
| Elastic Section Modulus (S) | 5,637 | 1,127 | cmÃÂÃÂÃÂó |
| Plastic Section Modulus (Z) | 6,522 | 1,737 | cmÃÂÃÂÃÂó |
| Radius of Gyration (r) | 20.83 | 7.01 | cm |
Torsional Properties
| Property | Value | Unit |
|---|---|---|
| Torsional Constant (J) | 1,407 | cmÃÂâÃÂÃÂÃÂô |
| Warping Constant (Cw) | 8,941,050 | cmÃÂâÃÂÃÂÃÂö |
| Distance Between Flange Centroids (ho) | 46.74 | cm |
| Effective Radius (rts) | 8.23 | cm |
Imperial Reference
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 20.00 | in |
| Flange Width (bf) | 11.40 | in |
| Area (A) | 51.40 | inÃÂÃÂÃÂò |
| Weight | 175 | lb/ft |
Section Profile Summary
With Ix = 143,599 cmâÃÂô, this wide flange is commonly specified for long-span floor beams and transfer girders where stiffness controls the design.
At 508 mm deep and 260.4 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 | 2,283 kNÃÂ÷m |
| Deflection | ÃÂà= 5wLâÃÂô/(384EIx) | Use Ix = 143,599 cmâÃÂô |
| Torsion | St. Venant = GJ/L | J = 1,407 cmâÃÂô |
| Column buckling | KL/r âÃÂàFcr | r_x = 20.83 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 âÃÂà294.9 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: Industrial floor beam — w460x260
Scenario: Light industrial floor — forklift traffic and storage considerations. Simply supported wide flange, 10.2 m span, 3 m tributary width. Service loads: 5.0 kPa dead + 7.5 kPa live (37.5 kN/m total).
Given:
- Span L = 10160 mm (10.2 m)
- Total service load w = 37.5 kN/m
- Live load portion w_L = 22.5 kN/m
- Section w460x260: Ix = 1436.0 ÃÂà10âÃÂö mmâÃÂô, Sx = 5,637,000 mmÃÂó, Zx = 6,522,000 mmÃÂó
- Steel: fy = 350 MPa, E = 200,000 MPa
- Design moment resistance: ÃÂÃÂMn = 0.9 ÃÂàZx ÃÂàfy = 2,054 kNÃÂ÷m
Step 1 — Live load deflection:
ÃÂÃÂ_LL = 5 w_L LâÃÂô / (384 E Ix)
ÃÂÃÂ_LL = 5 ÃÂà22.5 ÃÂà(10160)âÃÂô / (384 ÃÂà200000 ÃÂà1,435,990,000)
ÃÂÃÂ_LL = 10.9 mm
Step 2 — Deflection limit (L/250):
ÃÂÃÂ_limit = L / 250 = 10160 / 250 = 40.6 mm
Step 3 — Dead + live deflection:
ÃÂÃÂ_total = 18.1 mm
Step 4 — Design check:
âÃÂàLive load deflection is within the L/250 limit.
Verify the design moment M*_Ed (from factored loads 1.35G + 1.5Q per CSA S16) does not exceed ÃÂÃÂMn = 2,054 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.