W200x52 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W8X35 per AISC A6. Approx. equivalent of W8X35. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 206.2 mm
Flange Width (bf) 203.7 mm
Flange Thickness (tf) 12.6 mm
Web Thickness (tw) 7.9 mm
Cross-Sectional Area (A) 66.5 cm²
Mass 52.1 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 5,286 1,773 cm⁴
Elastic Section Modulus (S) 511 174 cm³
Plastic Section Modulus (Z) 569 264 cm³
Radius of Gyration (r) 8.92 5.16 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 32 cm⁴
Warping Constant (Cw) 166,202 cm⁶
Distance Between Flange Centroids (ho) 19.38 cm
Effective Radius (rts) 5.79 cm

Imperial Reference

Property Value Unit
Depth (d) 8.12 in
Flange Width (bf) 8.02 in
Area (A) 10.30 in²
Weight 35 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 511 cm³. The section is suitable for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 206.2 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 199 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 5,286 cm⁴
Torsion St. Venant = GJ/L J = 32 cm⁴
Column buckling KL/r → Fcr r_x = 8.92 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: Roof beam (flat roof) — w200x52

Scenario: Flat roof with services — allowance for mechanical units and drainage. Simply supported wide flange, 5.2 m span, 3.6 m tributary width. Service loads: 2.0 kPa dead + 1.5 kPa live (12.6 kN/m total).

Given:

Step 1 — Live load deflection:

Δ_LL = 5 w_L L⁴ / (384 E Ix)

Δ_LL = 5 × 5.4 × (5155)⁴ / (384 × 200000 × 52,860,000)

Δ_LL = 4.7 mm

Step 2 — Deflection limit (L/250):

Δ_limit = L / 250 = 5155 / 250 = 20.6 mm

Step 3 — Dead + live deflection:

Δ_total = 11.0 mm

Step 4 — Design check:

✓ Live 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 φMn = 179 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.