W310x129 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W12X87 per AISC A6. Approx. equivalent of W12X87. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 317.5 mm
Flange Width (bf) 307.3 mm
Flange Thickness (tf) 20.6 mm
Web Thickness (tw) 13.1 mm
Cross-Sectional Area (A) 165.2 cm²
Mass 129.5 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 30,801 10,031 cm⁴
Elastic Section Modulus (S) 1,934 651 cm³
Plastic Section Modulus (Z) 2,163 990 cm³
Radius of Gyration (r) 13.67 7.80 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 212 cm⁴
Warping Constant (Cw) 2,220,495 cm⁶
Distance Between Flange Centroids (ho) 29.72 cm
Effective Radius (rts) 8.79 cm

Imperial Reference

Property Value Unit
Depth (d) 12.50 in
Flange Width (bf) 12.10 in
Area (A) 25.60 in²
Weight 87 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 1,934 cm³. The section is appropriate for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 317.5 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 757 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 30,801 cm⁴
Torsion St. Venant = GJ/L J = 212 cm⁴
Column buckling KL/r → Fcr r_x = 13.67 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: Residential floor beam — w310x129

Scenario: Residential apartment floor — partition allowance included in dead load. Simply supported wide flange, 7.3 m span, 3 m tributary width. Service loads: 3.0 kPa dead + 2.0 kPa live (15.0 kN/m total).

Given:

Step 1 — Live load deflection:

Δ_LL = 5 w_L L⁴ / (384 E Ix)

Δ_LL = 5 × 6.0 × (7303)⁴ / (384 × 200000 × 308,010,000)

Δ_LL = 3.6 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 7303 / 360 = 20.3 mm

Step 3 — Dead + live deflection:

Δ_total = 9.0 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 = 681 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.