W200x19 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W8X13 per AISC A6. Approx. equivalent of W8X13. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 202.9 mm
Flange Width (bf) 101.6 mm
Flange Thickness (tf) 6.5 mm
Web Thickness (tw) 5.8 mm
Cross-Sectional Area (A) 24.8 cm²
Mass 19.3 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 1,648 114 cm⁴
Elastic Section Modulus (S) 162 22 cm³
Plastic Section Modulus (Z) 187 35 cm³
Radius of Gyration (r) 8.15 2.14 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 4 cm⁴
Warping Constant (Cw) 10,955 cm⁶
Distance Between Flange Centroids (ho) 19.66 cm
Effective Radius (rts) 2.62 cm

Imperial Reference

Property Value Unit
Depth (d) 7.99 in
Flange Width (bf) 4.00 in
Area (A) 3.84 in²
Weight 13 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 162 cm³. The section is commonly specified for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 202.9 mm deep, this is a mid-range section for secondary beams, roof purlins, and bracing in standard framing.

Key Design Checks (CSA S16)

Check Formula This Section
Plastic moment Mp = Zx × Fy 65 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 1,648 cm⁴
Torsion St. Venant = GJ/L J = 4 cm⁴
Column buckling KL/r → Fcr r_x = 8.15 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 — w200x19

Scenario: Hospital ward — strict deflection limits for medical equipment and services. Simply supported wide flange, 5.3 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 × (5275)⁴ / (384 × 200000 × 16,480,000)

Δ_LL = 19.3 mm

Step 2 — Deflection limit (L/360):

Δ_limit = L / 360 = 5275 / 360 = 14.7 mm

Step 3 — Dead + live deflection:

Δ_total = 45.0 mm

Step 4 — Design check:

⚠ Live load deflection exceeds L/360 — consider a deeper section, reduce tributary, or shorten the span.

Verify the design moment M*_Ed (from factored loads 1.35G + 1.5Q per CSA S16) does not exceed φMn = 59 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.