W1000x437 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W40X294 per AISC A6. Approx. equivalent of W40X294. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 1026.2 mm
Flange Width (bf) 304.8 mm
Flange Thickness (tf) 49.0 mm
Web Thickness (tw) 26.9 mm
Cross-Sectional Area (A) 556.2 cm²
Mass 437.5 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 911,544 23,392 cm⁴
Elastic Section Modulus (S) 17,698 1,532 cm³
Plastic Section Modulus (Z) 20,811 2,458 cm³
Radius of Gyration (r) 40.39 6.48 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 3,188 cm⁴
Warping Constant (Cw) 55,848,000 cm⁶
Distance Between Flange Centroids (ho) 97.79 cm
Effective Radius (rts) 8.03 cm

Imperial Reference

Property Value Unit
Depth (d) 40.40 in
Flange Width (bf) 12.00 in
Area (A) 86.20 in²
Weight 294 lb/ft

Section Profile Summary

A wide flange with parallel flange faces — makes bolted and welded connections straightforward to detail. At Ix = 911,544 cm⁴, the strong-axis stiffness places it in the heavy beam category for preliminary sizing.

At 1026.2 mm deep and 437.5 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 × Fy 7,284 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 911,544 cm⁴
Torsion St. Venant = GJ/L J = 3,188 cm⁴
Column buckling KL/r → Fcr r_x = 40.39 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 — w1000x437

Scenario: Residential apartment floor — partition allowance included in dead load. Simply supported wide flange, 20.5 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 × (20524)⁴ / (384 × 200000 × 9,115,440,000)

Δ_LL = 7.6 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 20524 / 360 = 57.0 mm

Step 3 — Dead + live deflection:

Δ_total = 19.0 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 = 6,555 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.