W840x299 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W33X201 per AISC A6. Approx. equivalent of W33X201. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 856.0 mm
Flange Width (bf) 398.8 mm
Flange Thickness (tf) 29.2 mm
Web Thickness (tw) 18.2 mm
Cross-Sectional Area (A) 381.3 cm²
Mass 299.1 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 482,827 31,176 cm⁴
Elastic Section Modulus (S) 11,241 1,560 cm³
Plastic Section Modulus (Z) 12,667 2,409 cm³
Radius of Gyration (r) 35.56 9.04 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 866 cm⁴
Warping Constant (Cw) 53,163,000 cm⁶
Distance Between Flange Centroids (ho) 82.80 cm
Effective Radius (rts) 10.69 cm

Imperial Reference

Property Value Unit
Depth (d) 33.70 in
Flange Width (bf) 15.70 in
Area (A) 59.10 in²
Weight 201 lb/ft

Section Profile Summary

With Ix = 482,827 cm⁴, this wide flange is commonly specified for long-span floor beams and transfer girders where stiffness controls the design.

At 856 mm deep and 299.1 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 4,433 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 482,827 cm⁴
Torsion St. Venant = GJ/L J = 866 cm⁴
Column buckling KL/r → Fcr r_x = 35.56 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: School classroom beam — w840x299

Scenario: School building — tighter deflection limit for suspended ceiling integrity. Simply supported wide flange, 16.3 m span, 2.4 m tributary width. Service loads: 3.5 kPa dead + 3.0 kPa live (15.6 kN/m total).

Given:

Step 1 — Live load deflection:

Δ_LL = 5 w_L L⁴ / (384 E Ix)

Δ_LL = 5 × 7.2 × (16264)⁴ / (384 × 200000 × 4,828,270,000)

Δ_LL = 6.8 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 16264 / 360 = 45.2 mm

Step 3 — Dead + live deflection:

Δ_total = 14.7 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 = 3,990 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.