M5X18.9 Steel Miscellaneous beam — Section Properties
Dimensions
| Property | Value | Unit |
|---|---|---|
| Depth (d) | 5 | 127.0 mm |
| Flange Width (bf) | 5 | 12.70 cm |
| Flange Thickness (tf) | 0.416 | 10.6 mm |
| Web Thickness (tw) | 0.316 | 8.0 mm |
| Area (A) | 5.56 in² | 35.9 cmÃÂò |
| Weight | 18.9 lb/ft | 28.1 kg/m |
Elastic Section Properties
| Property | Strong Axis (X-X) | Weak Axis (Y-Y) | Unit |
|---|---|---|---|
| Moment of Inertia (I) | 24.2 | 8.7 | in⁴ |
| Elastic Section Modulus (S) | 9.67 | 3.48 | in³ |
| Plastic Section Modulus (Z) | 11.1 | 5.33 | in³ |
| Radius of Gyration (r) | 2.08 | 1.25 | in |
Torsional Properties
| Property | Value | Unit |
|---|---|---|
| Torsional Constant (J) | 0.313 | in⁴ |
| Warping Constant (Cw) | 45.7 | in⁶ |
| Distance Between Flange Centroids (ho) | 4.58 | in |
| Effective Radius (rts) | 1.44 | in |
Section Profile Summary
This is a standard hot-rolled light I-beam profile covered by AISC 360. The tabulated section properties are computed from the nominal dimensions per the governing material standard. With Ix = 24.2 in⁴, the strong-axis flexural stiffness is suitable for preliminary sizing of beams and beam-columns.
At 5" 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 | 555 kip-in |
| Deflection | Δ = 5wLâÃÂô/(384EIx) | Use Ix = 24.2 in⁴ |
| Torsion | St. Venant = GJ/L | J = 0.313 in⁴ |
| Column buckling | KL/r âÃÂàFcr | r_x = 2.08 in |
Design Notes
- Compactness: Verify flange and web slenderness against AISC 360 Table B4.1 classification limits for the governing load case (pure compression, pure flexure, or combined).
- Combined loading: For members under simultaneous axial force and bending, use the interaction equations in AISC 360 Section H. The governing equation depends on the ratio of required to available axial strength.
- Connection limit states: Check bolt bearing, tear-out, block shear, and weld strength at all connections. The governing connection limit state often controls the member size selection.
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: Library stack beam — m5x18_9
Scenario: Library stack area — dead load includes shelving and books. Simply supported light I-beam, 11 ft span, 7 ft tributary width. Service loads: 85 psf dead + 60 psf live (1015 plf total).
Given:
- Span L = 11 ft (132 in)
- Total service load w = 1015 plf
- Live load portion w_L = 420 plf
- Section m5x18_9: Ix = 24.2 in⁴, Sx = 9.67 in³, Zx = 11.1 in³
- Steel: ASTM A992, Fy = 50 ksi, E = 29,000 ksi
- Design moment strength: φMn = 0.9 × Zx × Fy = 42 kip-ft
Step 1 — Live load deflection check:
Δ_LL = 5 w_L LâÃÂô / (384 E Ix)
Δ_LL = 5 × (420/12) × (132)âÃÂô / (384 × 29,000,000 × 24.2)
Δ_LL = 0.20 in
Step 2 — Allowable deflection (IBC Table 1604.3, L/240):
Δ_allow = L / 240 = 132 / 240 = 0.55 in
Step 3 — Dead + live deflection:
Δ_total = 0.48 in
Step 4 — Design check:
âÃÂàLive load deflection is within the L/240 limit.
The required flexural strength at ultimate is approximately w_u LÃÂò/8. With factored loads 1.2D + 1.6L, verify φMn = 42 kip-ft is adequate per AISC 360 Chapter F. Also check shear capacity (φVn = 0.6 Fy Aw × 0.9) and bearing at supports.
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.