W200x42 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W8X28 per AISC A6. Approx. equivalent of W8X28. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 204.7 mm
Flange Width (bf) 166.1 mm
Flange Thickness (tf) 11.8 mm
Web Thickness (tw) 7.2 mm
Cross-Sectional Area (A) 53.2 cm²
Mass 41.7 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 4,079 903 cm⁴
Elastic Section Modulus (S) 398 109 cm³
Plastic Section Modulus (Z) 446 166 cm³
Radius of Gyration (r) 8.76 4.11 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 22 cm⁴
Warping Constant (Cw) 83,772 cm⁶
Distance Between Flange Centroids (ho) 19.30 cm
Effective Radius (rts) 4.67 cm

Imperial Reference

Property Value Unit
Depth (d) 8.06 in
Flange Width (bf) 6.54 in
Area (A) 8.25 in²
Weight 28 lb/ft

Section Profile Summary

A wide flange with parallel flange faces — makes bolted and welded connections straightforward to detail. At Ix = 4,079 cm⁴, the strong-axis stiffness places it in the heavy beam category for preliminary sizing.

At 204.7 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 156 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 4,079 cm⁴
Torsion St. Venant = GJ/L J = 22 cm⁴
Column buckling KL/r → Fcr r_x = 8.76 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: Residential floor beam — w200x42

Scenario: Residential apartment floor — partition allowance included in dead load. Simply supported wide flange, 3.9 m span, 3 m tributary width. Service loads: 3.0 kPa dead + 2.0 kPa live (15.0 kN/m total).

Given:

Step 1 — Live load deflection:

Δ_LL = 5 w_L L⁴ / (384 E Ix)

Δ_LL = 5 × 6.0 × (3889)⁴ / (384 × 200000 × 40,790,000)

Δ_LL = 2.2 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 3889 / 360 = 10.8 mm

Step 3 — Dead + live deflection:

Δ_total = 5.5 mm

Step 4 — Design check:

✓ Live 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 φMn = 140 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.