W460x158 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W18X106 per AISC A6. Approx. equivalent of W18X106. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 475.0 mm
Flange Width (bf) 284.5 mm
Flange Thickness (tf) 23.9 mm
Web Thickness (tw) 15.0 mm
Cross-Sectional Area (A) 200.7 cm²
Mass 157.7 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 79,500 9,157 cm⁴
Elastic Section Modulus (S) 3,343 646 cm³
Plastic Section Modulus (Z) 3,769 991 cm³
Radius of Gyration (r) 19.91 6.76 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 311 cm⁴
Warping Constant (Cw) 4,671,900 cm⁶
Distance Between Flange Centroids (ho) 45.21 cm
Effective Radius (rts) 7.87 cm

Imperial Reference

Property Value Unit
Depth (d) 18.70 in
Flange Width (bf) 11.20 in
Area (A) 31.10 in²
Weight 106 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 3,343 cm³. The section is suitable for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 475 mm deep, this section is common for floor beams, portal frame rafters, and columns in commercial and industrial buildings.

Key Design Checks (CSA S16)

Check Formula This Section
Plastic moment Mp = Zx × Fy 1,319 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 79,500 cm⁴
Torsion St. Venant = GJ/L J = 311 cm⁴
Column buckling KL/r → Fcr r_x = 19.91 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 — w460x158

Scenario: Hospital ward — strict deflection limits for medical equipment and services. Simply supported wide flange, 10.9 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 × (10925)⁴ / (384 × 200000 × 795,000,000)

Δ_LL = 7.3 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 10925 / 360 = 30.3 mm

Step 3 — Dead + live deflection:

Δ_total = 17.1 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 = 1,187 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.