W1000x487 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W40X327 per AISC A6. Approx. equivalent of W40X327. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 1036.3 mm
Flange Width (bf) 307.3 mm
Flange Thickness (tf) 54.1 mm
Web Thickness (tw) 30.0 mm
Cross-Sectional Area (A) 618.8 cm²
Mass 486.6 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 1,019,763 26,639 cm⁴
Elastic Section Modulus (S) 19,664 1,721 cm³
Plastic Section Modulus (Z) 23,106 2,786 cm³
Radius of Gyration (r) 40.64 6.55 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 4,287 cm⁴
Warping Constant (Cw) 64,171,500 cm⁶
Distance Between Flange Centroids (ho) 98.30 cm
Effective Radius (rts) 8.15 cm

Imperial Reference

Property Value Unit
Depth (d) 40.80 in
Flange Width (bf) 12.10 in
Area (A) 95.90 in²
Weight 327 lb/ft

Section Profile Summary

With Ix = 1,019,763 cm⁴, this wide flange is commonly specified for long-span floor beams and transfer girders where stiffness controls the design.

At 1036.3 mm deep and 486.6 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 8,087 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 1,019,763 cm⁴
Torsion St. Venant = GJ/L J = 4,287 cm⁴
Column buckling KL/r → Fcr r_x = 40.64 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 — w1000x487

Scenario: Retail space — higher live load for public occupancy per EN 1991-1-1. Simply supported wide flange, 22.8 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 × (22799)⁴ / (384 × 200000 × 10,197,630,000)

Δ_LL = 20.7 mm

Step 2 — Deflection limit (L/300):

Δ_limit = L / 300 = 22799 / 300 = 76.0 mm

Step 3 — Dead + live deflection:

Δ_total = 39.3 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 = 7,278 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.