W200x86 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W8X58 per AISC A6. Approx. equivalent of W8X58. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 222.3 mm
Flange Width (bf) 208.8 mm
Flange Thickness (tf) 20.6 mm
Web Thickness (tw) 13.0 mm
Cross-Sectional Area (A) 110.3 cm²
Mass 86.3 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 9,490 3,126 cm⁴
Elastic Section Modulus (S) 852 300 cm³
Plastic Section Modulus (Z) 980 457 cm³
Radius of Gyration (r) 9.27 5.33 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 139 cm⁴
Warping Constant (Cw) 316,830 cm⁶
Distance Between Flange Centroids (ho) 20.17 cm
Effective Radius (rts) 6.07 cm

Imperial Reference

Property Value Unit
Depth (d) 8.75 in
Flange Width (bf) 8.22 in
Area (A) 17.10 in²
Weight 58 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 852 cm³. The section is a practical choice for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 222.3 mm deep, this is a mid-range section for secondary beams, roof purlins, and bracing in standard framing.

Key Design Checks (CSA S16)

Check Formula This Section
Plastic moment Mp = Zx × Fy 343 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 9,490 cm⁴
Torsion St. Venant = GJ/L J = 139 cm⁴
Column buckling KL/r → Fcr r_x = 9.27 cm

Design Notes

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: Retail floor beam — w200x86

Scenario: Retail space — higher live load for public occupancy per EN 1991-1-1. Simply supported wide flange, 4.7 m span, 2.4 m tributary width. Service loads: 4.5 kPa dead + 5.0 kPa live (22.8 kN/m total).

Given:

Step 1 — Live load deflection:

Δ_LL = 5 w_L L⁴ / (384 E Ix)

Δ_LL = 5 × 12.0 × (4668)⁴ / (384 × 200000 × 94,900,000)

Δ_LL = 3.9 mm

Step 2 — Deflection limit (L/300):

Δ_limit = L / 300 = 4668 / 300 = 15.6 mm

Step 3 — Dead + live deflection:

Δ_total = 7.4 mm

Step 4 — Design check:

✓ Live 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 φMn = 309 kN·m. Also confirm shear resistance and bearing details at the supports.

Related Resources

Design Resources


Educational reference only. Verify all section properties against the current CSA S16 Manual and mill certificates before design. Results are PRELIMINARY — NOT FOR CONSTRUCTION.