What is the section modulus of HSS13.375X0.188?

Sx = 23.6 inÃÂÃÂ³, Zx = 30.4 inÃÂÃÂ³ (strong axis). Sy = 23.6 inÃÂÃÂ³, Zy = 30.4 inÃÂÃÂ³ (weak axis).

What steel grade is standard for HSS13.375X0.188?

ASTM A500 Grade C (Fy = 46 ksi) or Grade B (Fy = 42 ksi). Verify with mill certificate.

What is the moment of inertia of HSS13.375X0.188?

Ix = 158 inÃÂ¢ÃÂÃÂ´ about the strong axis and Iy = 158 inÃÂ¢ÃÂÃÂ´ about the weak axis. The radius of gyration is rx = 4.67 in and ry = 4.67 in.

HSS13.375X0.188 Steel Round HSS — Section Properties

Dimensions

Property	Value	Unit
Outer Diameter (OD)	13.4	340.4 mm
Wall Thickness (t)	0.188	4.8 mm
Area (A)	7.23 in²	46.6 cmÃÂÃÂ²
Weight	26.43 lb/ft	39.3 kg/m

Elastic Section Properties

Property	Strong Axis (X-X)	Weak Axis (Y-Y)	Unit
Moment of Inertia (I)	158	158	in⁴
Elastic Section Modulus (S)	23.6	23.6	in³
Plastic Section Modulus (Z)	30.4	30.4	in³
Radius of Gyration (r)	4.67	4.67	in

Torsional Properties

Property	Value	Unit
Torsional Constant (J)	315	in⁴
Warping Constant (Cw)	0	in⁶

Section Profile Summary

The closed shape eliminates the weak-axis buckling concern that governs open sections. Torsional constant J = 315 in⁴ is typically an order of magnitude higher than a W-shape of similar weight, making HSS the go-to choice when torsion cannot be avoided.

Key Design Checks (AISC 360)

Check	Formula	This Section
Plastic moment	Mp = Zx × Fy	1,520 kip-in
Deflection	Δ = 5wLÃÂ¢ÃÂÃÂ´/(384EIx)	Use Ix = 158 in⁴
Torsion	St. Venant = GJ/L	J = 315 in⁴
Column buckling	KL/r ÃÂ¢ÃÂÃÂ Fcr	r_x = 4.67 in

Design Notes

Wall slenderness: b/t limits per AISC 360 Table B4.1a define compact, noncompact, and slender classifications. Round HSS use D/t limits.
HSS connection design: Welded connections to HSS walls must check chord plastification, punching shear, and sidewall yielding per AISC 360 Chapter K. Through-bolting requires reinforcing sleeves or plate washers.
Concrete-filled HSS: For composite column applications, filling the HSS with concrete increases axial capacity and fire resistance. Composite design follows AISC 360 Chapter I.

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: Column Capacity — hss13_375x0_188

Scenario: Mezzanine column in a warehouse Unbraced length L = 9 ft.

Given:

hss13_375x0_188: Ag = 7.23 in²
r_min = 4.67 in (governing radius of gyration)
Steel: ASTM A500 Gr. C, Fy = 50 ksi, E = 29,000 ksi
Effective length factor K = 1.0 (pinned base and top)

Step 1 — Slenderness ratio:

KL/r = 108 / 4.67 = 23

Step 2 — Determine critical stress Fcr (AISC 360 Chapter E):

Elastic buckling stress: Fe = ÃÂÃÂÃÂÃÂ²E / (KL/r)ÃÂÃÂ² = ÃÂÃÂÃÂÃÂ² × 29,000 / (23)ÃÂÃÂ² = 541 ksi

For HSS with KL/r ÃÂ¢ÃÂÃÂ¤ 4.71ÃÂ¢ÃÂÃÂ(E/Fy) = 4.71ÃÂ¢ÃÂÃÂ(29,000/50) = 113.4:

If KL/r ÃÂ¢ÃÂÃÂ¤ 113.4: Fcr = 0.658^(Fy/Fe) × Fy (inelastic buckling) If KL/r > 113.4: Fcr = 0.877Fe (elastic buckling)

Step 3 — Design compressive strength:

φPn = φ × Fcr × Ag = 0.9 × Fcr × 7.23 ÃÂ¢ÃÂÃÂ 325 kips (preliminary)

For a precise capacity accounting for local buckling and the exact KL/r value, use the Column Capacity Calculator with this section's properties.

Related Resources

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.