W530x109 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W21X73 per AISC A6. Approx. equivalent of W21X73. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 538.5 mm
Flange Width (bf) 210.8 mm
Flange Thickness (tf) 18.8 mm
Web Thickness (tw) 11.6 mm
Cross-Sectional Area (A) 138.7 cm²
Mass 108.6 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 66,597 2,939 cm⁴
Elastic Section Modulus (S) 2,474 279 cm³
Plastic Section Modulus (Z) 2,819 436 cm³
Radius of Gyration (r) 21.95 4.60 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 126 cm⁴
Warping Constant (Cw) 1,989,585 cm⁶
Distance Between Flange Centroids (ho) 52.07 cm
Effective Radius (rts) 5.56 cm

Imperial Reference

Property Value Unit
Depth (d) 21.20 in
Flange Width (bf) 8.30 in
Area (A) 21.50 in²
Weight 73 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 2,474 cm³. The section is well-suited for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 538.5 mm deep and 108.6 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 987 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 66,597 cm⁴
Torsion St. Venant = GJ/L J = 126 cm⁴
Column buckling KL/r → Fcr r_x = 21.95 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 — w530x109

Scenario: School building — tighter deflection limit for suspended ceiling integrity. Simply supported wide flange, 9.7 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 × (9693)⁴ / (384 × 200000 × 665,970,000)

Δ_LL = 6.2 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 9693 / 360 = 26.9 mm

Step 3 — Dead + live deflection:

Δ_total = 13.5 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 = 888 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.