WT4X20 Steel WT-shape — Section Properties
Dimensions
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 4.13 | 104.9 mm |
| Flange Width (bf) | 8.07 | 20.50 cm |
| Flange Thickness (tf) | 0.56 | 14.2 mm |
| Web Thickness (tw) | 0.36 | 9.1 mm |
| Area (A) | 5.87 in² | 37.9 cmÃÂò |
| Weight | 20 lb/ft | 29.8 kg/m |
Elastic Section Properties
| Property | Strong Axis (X-X) | Weak Axis (Y-Y) | Unit |
|---|---|---|---|
| Moment of Inertia (I) | 5.73 | 24.5 | in⁴ |
| Elastic Section Modulus (S) | 1.69 | 6.08 | in³ |
| Plastic Section Modulus (Z) | 3.25 | 9.24 | in³ |
| Radius of Gyration (r) | 0.988 | 2.04 | in |
Torsional Properties
| Property | Value | Unit |
|---|---|---|
| Torsional Constant (J) | 0.558 | in⁴ |
| Warping Constant (Cw) | 0.715 | in⁶ |
Section Profile Summary
WT/ST sections are cut from W-shapes — the stem tip was at the mid-depth of the original beam and has the highest residual stresses. For beam applications, orient the stem in tension (pointing down for simply-supported beams). Per AISC 360 Section F9, the flexural capacity depends on whether the stem or flange is in compression.
At 4.13" deep — one of the smallest standard sections available. Used for light-duty lintels, bracing, handrail posts, and miscellaneous structural iron.
Key Design Checks (AISC 360)
| Check | Formula | This Section |
|---|---|---|
| Plastic moment | Mp = Zx × Fy | 162.5 kip-in |
| Deflection | Δ = 5wLâÃÂô/(384EIx) | Use Ix = 5.73 in⁴ |
| Torsion | St. Venant = GJ/L | J = 0.558 in⁴ |
| Column buckling | KL/r âÃÂàFcr | r_x = 0.988 in |
Design Notes
- Stem in tension for beams: Orient the tee so the flange is in compression (stem down for gravity loads). Per AISC 360 Section F9, the flexural capacity is significantly higher with the stem in tension.
- Flexural-torsional buckling for columns: Single-axis symmetry means the governing buckling mode may be flexural-torsional rather than pure flexural per AISC 360 Eq. E4-4.
- Connection eccentricity: The centroid is closer to the flange — tension connections must account for the induced bending when the work line differs from the centroidal axis.
Verification (AISC 360): 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: Tension Capacity — wt4x20
Scenario: wt4x20 used as a bottom chord member in a roof truss. The member carries axial tension only under the governing load combination.
Given:
- wt4x20: gross area Ag = 5.87 in²
- Steel: Fy = 50 ksi, Fu = 65 ksi
- Connection: bolted through the flange with 4 bolts per line (standard holes)
Step 1 — Gross yield (AISC 360 Eq. D2-1):
φTn_yield = 0.9 × Ag × Fy = 0.9 × 5.87 × 50 = 264 kips
Step 2 — Net section fracture:
For bolted connections, deduct bolt holes from Ag: An = Ag − n × dh × tf
The effective net area Ae = U × An depends on the shear lag factor U per AISC 360 Table D3.1.
Check φTn_fracture = 0.75 × Ae × Fu per AISC 360 Eq. D2-2.
Step 3 — Stem-in-tension note:
For WT/ST sections loaded in axial tension, the eccentricity between the centroid and the connection plane introduces a bending moment that should be considered in the connection design. The stem is more flexible than the flange — verify the weld or bolt group can accommodate the induced prying action.
Related Resources
- Steel Beam Capacity Calculator
- Column Capacity Calculator
- Beam Deflection Calculator
- Section Properties Calculator
- Steel Grades Reference
- Section Comparison Tool
Design Resources
- Section Properties Lookup — Compare with similar sections
- Steel Beam Sizes Reference — Standard beam dimensions
Educational reference only. Verify all section properties against the current AISC 360 Manual and mill certificates before design. Results are PRELIMINARY — NOT FOR CONSTRUCTION.