W530x409 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W21X275 per AISC A6. Approx. equivalent of W21X275. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 612.1 mm
Flange Width (bf) 327.7 mm
Flange Thickness (tf) 55.6 mm
Web Thickness (tw) 31.0 mm
Cross-Sectional Area (A) 527.8 cm²
Mass 409.2 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 320,081 32,757 cm⁴
Elastic Section Modulus (S) 10,455 1,999 cm³
Plastic Section Modulus (Z) 12,274 3,130 cm³
Radius of Gyration (r) 24.64 7.87 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 4,454 cm⁴
Warping Constant (Cw) 25,346,400 cm⁶
Distance Between Flange Centroids (ho) 55.63 cm
Effective Radius (rts) 9.35 cm

Imperial Reference

Property Value Unit
Depth (d) 24.10 in
Flange Width (bf) 12.90 in
Area (A) 81.80 in²
Weight 275 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 10,455 cm³. The section is commonly specified for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 612.1 mm deep and 409.2 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 4,296 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 320,081 cm⁴
Torsion St. Venant = GJ/L J = 4,454 cm⁴
Column buckling KL/r → Fcr r_x = 24.64 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: Hospital ward beam — w530x409

Scenario: Hospital ward — strict deflection limits for medical equipment and services. Simply supported wide flange, 15.3 m span, 2.1 m tributary width. Service loads: 4.0 kPa dead + 3.0 kPa live (14.7 kN/m total).

Given:

Step 1 — Live load deflection:

Δ_LL = 5 w_L L⁴ / (384 E Ix)

Δ_LL = 5 × 6.3 × (15303)⁴ / (384 × 200000 × 3,200,810,000)

Δ_LL = 7.0 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 15303 / 360 = 42.5 mm

Step 3 — Dead + live deflection:

Δ_total = 16.4 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 = 3,866 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.