HSS Section Properties Quick Reference — Square, Rectangular & Round

Comprehensive quick-reference tables for Hollow Structural Section (HSS) properties per AISC 360. Covers square HSS, rectangular HSS, and round HSS sections with cross-sectional area (A), moment of inertia (Ix), elastic section modulus (Sx), radius of gyration (rx), plastic section modulus (Zx), and torsional constant (J). All values from the AISC Steel Construction Manual, 16th Edition.

HSS sections are cold-formed per ASTM A500 and are the preferred choice for columns, braces, truss chords, and any application requiring torsional resistance or biaxial bending capacity. Their closed cross-section gives them vastly superior torsional stiffness compared to open sections like W-shapes.

Understanding HSS Properties

PRELIMINARY — NOT FOR CONSTRUCTION. All results are for educational and reference use only. Must be independently verified by a licensed Professional Engineer (PE) or Structural Engineer (SE) before use in any project.

Property Symbol Units Significance for HSS
Cross-sectional area A in^2 Axial capacity, weight (weight/ft = A * 3.40 for steel)
Moment of inertia Ix in^4 Deflection resistance; Ix = Iy for square/round sections
Elastic section modulus Sx in^3 Elastic bending stress: fb = M/Sx
Radius of gyration rx in Column buckling: KL/r; rx = ry for square/round sections
Plastic section modulus Zx in^3 LRFD flexural strength: phi*Mn = 0.90 * Zx _ Fy
Torsional constant J in^4 Torsional stiffness; HSS have very high J (30-50x W-shapes)
Wall thickness t in Drives wall slenderness (b/t ratio), connection capacity
Design wall thickness t_design in = 0.93 * t_nominal per AISC for HSS

Square HSS — Section Properties

Square HSS sections are designated by nominal outside dimensions and wall thickness (e.g., HSS6x6x3/8 is 6 in x 6 in square with 3/8 in wall). Properties are identical in both axes (Ix = Iy, Sx = Sy, rx = ry).

Shape B x B (in) t (in) A (in^2) Ix (in^4) Sx (in^3) rx (in) Zx (in^3) J (in^4)
HSS2x2x1/8 2x2 0.125 0.89 0.435 0.435 0.700 0.564 0.705
HSS2x2x3/16 2x2 0.187 1.24 0.562 0.562 0.673 0.754 0.920
HSS2x2x1/4 2x2 0.250 1.76 0.796 0.796 0.673 1.09 1.29
HSS2-1/2x2-1/2x1/8 2.5x2.5 0.125 1.13 0.919 0.735 0.900 0.934 1.46
HSS2-1/2x2-1/2x3/16 2.5x2.5 0.187 1.61 1.22 0.976 0.872 1.28 1.96
HSS2-1/2x2-1/2x1/4 2.5x2.5 0.250 2.05 1.45 1.16 0.842 1.57 2.37
HSS3x3x1/8 3x3 0.125 1.38 1.69 1.13 1.11 1.41 2.72
HSS3x3x3/16 3x3 0.187 1.98 2.28 1.52 1.07 1.93 3.70
HSS3x3x1/4 3x3 0.250 2.58 2.82 1.88 1.04 2.42 4.58
HSS3x3x5/16 3x3 0.312 3.08 3.16 2.11 1.02 2.78 5.20
HSS3-1/2x3-1/2x3/16 3.5x3.5 0.187 2.35 3.82 2.18 1.27 2.74 6.15
HSS3-1/2x3-1/2x1/4 3.5x3.5 0.250 3.09 4.81 2.75 1.25 3.48 7.72
HSS4x4x1/8 4x4 0.125 1.88 4.33 2.16 1.52 2.66 6.92
HSS4x4x3/16 4x4 0.187 2.72 5.95 2.98 1.48 3.72 9.56
HSS4x4x1/4 4x4 0.250 3.59 7.44 3.72 1.44 4.69 12.2
HSS4x4x5/16 4x4 0.312 4.34 8.79 4.40 1.42 5.59 14.4
HSS4x4x3/8 4x4 0.375 4.97 9.72 4.86 1.40 6.23 16.2
HSS5x5x3/16 5x5 0.187 3.47 12.4 4.94 1.89 6.09 19.8
HSS5x5x1/4 5x5 0.250 4.59 16.0 6.38 1.86 7.90 25.6
HSS5x5x5/16 5x5 0.312 5.59 19.0 7.58 1.84 9.43 30.6
HSS5x5x3/8 5x5 0.375 6.59 22.7 9.07 1.86 11.3 37.8
HSS6x6x3/16 6x6 0.187 4.22 22.3 7.42 2.30 9.03 35.8
HSS6x6x1/4 6x6 0.250 5.58 28.8 9.60 2.27 11.7 46.6
HSS6x6x5/16 6x6 0.312 6.82 34.6 11.5 2.25 14.1 56.4
HSS6x6x3/8 6x6 0.375 8.01 44.7 14.9 2.36 18.4 74.5
HSS6x6x1/2 6x6 0.500 10.4 51.1 17.0 2.21 21.3 84.0
HSS8x8x1/4 8x8 0.250 7.58 74.1 18.5 3.12 22.2 119
HSS8x8x5/16 8x8 0.312 9.32 88.1 22.0 3.07 26.7 143
HSS8x8x3/8 8x8 0.375 10.8 101 25.3 3.06 30.8 169
HSS8x8x1/2 8x8 0.500 14.4 129 32.3 2.99 39.5 213
HSS8x8x5/8 8x8 0.625 17.5 152 38.0 2.94 47.0 254
HSS10x10x1/4 10x10 0.250 9.58 149 29.8 3.94 35.5 239
HSS10x10x5/16 10x10 0.312 11.8 180 36.0 3.90 43.0 290
HSS10x10x3/8 10x10 0.375 13.7 198 39.6 3.80 47.9 331
HSS10x10x1/2 10x10 0.500 18.4 269 53.8 3.82 65.2 438
HSS12x12x3/8 12x12 0.375 16.7 362 60.4 4.65 72.6 585
HSS12x12x1/2 12x12 0.500 22.0 455 75.8 4.55 91.2 762
HSS12x12x5/8 12x12 0.625 27.0 541 90.2 4.47 110 914

Rectangular HSS — Section Properties

Rectangular HSS sections have different properties in each axis (Ix for strong axis about the longer dimension, Iy for weak axis about the shorter dimension). They are designated as HSS B x D x t where B = width, D = depth.

Shape B x D (in) t (in) A (in^2) Ix (in^4) Iy (in^4) Sx (in^3) Sy (in^3) rx (in) ry (in) J (in^4)
HSS5x3x3/16 5x3 0.187 2.72 8.63 3.93 3.45 2.62 1.78 1.20 11.8
HSS5x3x1/4 5x3 0.250 3.59 10.6 4.80 4.25 3.20 1.72 1.16 14.6
HSS6x4x3/16 6x4 0.187 3.47 16.0 8.73 5.33 4.37 2.15 1.59 21.7
HSS6x4x1/4 6x4 0.250 4.59 20.2 11.1 6.74 5.54 2.10 1.55 27.7
HSS6x4x3/8 6x4 0.375 6.59 26.7 14.7 8.89 7.35 2.01 1.50 36.5
HSS8x4x1/4 8x4 0.250 5.59 37.1 12.5 9.28 6.24 2.58 1.49 39.9
HSS8x4x5/16 8x4 0.312 6.82 44.0 14.8 11.0 7.42 2.54 1.48 47.9
HSS8x4x3/8 8x4 0.375 8.01 50.4 17.0 12.6 8.50 2.51 1.46 55.1
HSS8x4x1/2 8x4 0.500 10.4 61.6 20.8 15.4 10.4 2.43 1.41 67.5
HSS8x6x1/4 8x6 0.250 6.59 53.6 34.3 13.4 11.4 2.85 2.28 72.9
HSS8x6x3/8 8x6 0.375 9.71 73.9 47.3 18.5 15.8 2.76 2.21 101
HSS10x6x3/16 10x6 0.187 5.72 74.3 34.4 14.9 11.5 3.60 2.45 74.8
HSS10x6x5/16 10x6 0.312 9.35 113 52.5 22.6 17.5 3.48 2.37 120
HSS10x6x3/8 10x6 0.375 10.8 131 60.6 26.2 20.2 3.48 2.37 139
HSS10x6x1/2 10x6 0.500 14.4 165 76.1 33.0 25.4 3.38 2.30 178
HSS10x8x1/4 10x8 0.250 8.58 39.1 27.9 9.78 6.97 2.13 1.80 68.3
HSS10x8x3/8 10x8 0.375 12.5 209 144 41.9 36.1 4.09 3.39 280
HSS12x6x3/8 12x6 0.375 12.8 230 78.5 38.3 26.2 4.24 2.48 208
HSS12x6x1/2 12x6 0.500 16.5 285 97.6 47.5 32.5 4.16 2.43 265
HSS12x8x3/8 12x8 0.375 14.1 279 148 46.4 37.1 4.44 3.23 316
HSS12x8x1/2 12x8 0.500 18.4 398 212 66.4 52.9 4.65 3.39 448
HSS14x6x3/8 14x6 0.375 14.3 381 99.6 54.4 33.2 5.16 2.64 282
HSS14x6x1/2 14x6 0.500 18.4 479 126 68.4 41.9 5.10 2.61 385
HSS14x10x3/8 14x10 0.375 17.0 492 290 70.3 58.1 5.38 4.13 587
HSS16x12x1/2 16x12 0.500 26.4 994 642 124 107 6.14 4.93 1,170

Round HSS — Section Properties

Round HSS sections are designated by nominal outside diameter and wall thickness (e.g., HSS6.625x0.250 is 6-5/8 in OD with 1/4 in wall). Properties are identical in all directions, making round HSS ideal for multi-directional loading, flagpoles, and sign supports.

Shape OD (in) t (in) A (in^2) I (in^4) S (in^3) r (in) Z (in^3) J (in^4)
HSS2.375x0.125 2.375 0.125 0.883 0.533 0.449 0.777 0.628 1.07
HSS2.875x0.125 2.875 0.125 1.08 0.988 0.687 0.957 0.950 1.98
HSS2.875x0.188 2.875 0.188 1.59 1.35 0.939 0.921 1.33 2.70
HSS3.500x0.125 3.500 0.125 1.33 1.85 1.06 1.18 1.44 3.69
HSS3.500x0.188 3.500 0.188 1.96 2.58 1.47 1.15 2.04 5.16
HSS4.000x0.125 4.000 0.125 1.52 2.83 1.42 1.36 1.92 5.66
HSS4.000x0.188 4.000 0.188 2.25 3.98 1.99 1.33 2.72 7.96
HSS4.000x0.250 4.000 0.250 2.94 4.99 2.50 1.30 3.46 9.99
HSS4.500x0.250 4.500 0.250 3.34 7.31 3.25 1.48 4.50 14.6
HSS5.000x0.250 5.000 0.250 3.73 10.2 4.09 1.66 5.64 20.5
HSS5.500x0.250 5.500 0.250 4.12 13.9 5.05 1.83 6.95 27.8
HSS5.563x0.250 5.563 0.250 4.17 14.4 5.18 1.86 7.12 28.8
HSS6.000x0.250 6.000 0.250 4.52 18.3 6.10 2.01 8.37 36.5
HSS6.000x0.375 6.000 0.375 6.63 25.4 8.45 1.96 11.8 50.7
HSS6.625x0.250 6.625 0.250 5.01 24.9 7.52 2.23 10.3 49.8
HSS6.625x0.375 6.625 0.375 7.36 34.8 10.5 2.17 14.6 69.7
HSS8.625x0.250 8.625 0.250 6.58 56.9 13.2 2.94 17.8 114
HSS8.625x0.375 8.625 0.375 9.72 80.8 18.7 2.88 25.5 162
HSS8.625x0.500 8.625 0.500 12.8 102 23.7 2.83 32.7 204
HSS10.000x0.250 10.000 0.250 7.66 89.6 17.9 3.42 24.2 179
HSS10.000x0.375 10.000 0.375 11.3 128 25.6 3.36 34.8 256
HSS10.750x0.375 10.750 0.375 12.2 161 30.0 3.63 40.7 323
HSS12.750x0.375 12.750 0.375 14.6 274 42.9 4.34 57.9 548
HSS14.000x0.375 14.000 0.375 16.1 365 52.2 4.77 70.4 731

Source: AISC Steel Construction Manual, 16th Edition, Tables 1-10 through 1-12. All values for ASTM A500 Gr B/C cold-formed HSS.

Column Design with HSS

Square HSS sections excel at column design because rx = ry. For a given axial demand (Pu) and effective length (KL), the selection process is:

  1. Calculate required r: r*req = KL / lambda_target. For Fy = 46 ksi (Gr B), the inelastic-to-elastic transition occurs at lambda = 4.71 * sqrt(E/Fy) = 4.71 _ sqrt(29000/46) = 118. Conservative design targets lambda = 60-80.
  2. Scan the rx column for sections meeting r_req.
  3. Check wall slenderness: b/t limits for compact sections = 1.12 * sqrt(E/Fy). For 46 ksi: b/t limit = 28.1. For an HSS6x6x1/4 with 6 in nominal and 0.233 design wall: b/t = (6 - 3*0.233)/0.233 = 22.8, which is less than 28.1, so the section is compact.
  4. Calculate phi_Pn: phi*Pn = 0.90 * A _ Fcr, where Fcr is determined per AISC 360 Chapter E3.

Key design note: HSS wall thickness is measured as nominal thickness, but AISC requires using a design wall thickness of 0.93 * t_nominal. This 7% reduction accounts for manufacturing tolerance.

Torsional Comparison: HSS vs W-Shapes

The table below illustrates why HSS is the clear choice for torsion-critical members. J values for HSS are 30-100 times larger than comparable W-shapes.

Approx. Weight (lb/ft) HSS Section HSS J (in^4) Comparable W-Shape W J (in^4) J Ratio
19 HSS5x5x3/8 37.8 W8x18 0.21 180x
27 HSS6x6x3/8 74.5 W10x26 0.31 240x
31 HSS8x8x1/4 119 W10x30 0.38 313x
37 HSS8x8x3/8 169 W10x39 0.53 319x
46 HSS10x10x1/4 239 W12x45 0.54 443x
54 HSS10x10x3/8 331 W14x53 0.77 430x

This torsional advantage makes HSS the default choice for curved beams, canopy frames, sign structures, and any member subject to eccentric loading that produces significant torsion.

Frequently Asked Questions

What is the difference between square, rectangular, and round HSS? Square HSS (equal rx = ry) is best for columns and concentric braces where loading direction is uncertain. Rectangular HSS is best for beams where depth is more important than width, providing higher Ix at the expense of Iy. Round HSS has the highest torsional efficiency (J per unit weight) and is preferred for poles, piles, and architectural applications requiring a smooth circular profile.

What does design wall thickness (0.93t) mean? Per AISC 360 Section B3.12 and AISC Specification Table B4.1a, the design wall thickness for HSS is 0.93 times the nominal wall thickness. This reduction accounts for the manufacturing tolerance of +/-10% on wall thickness that is permitted by ASTM A500. All section properties in the AISC Manual and in this table are calculated using the design wall thickness (0.93t), not the nominal thickness.

How do I calculate the weight of an HSS member? Weight per foot = A _ 3.40 lb/ft per in^2 of steel. Example: HSS6x6x3/8 has A = 8.01 in^2, so weight = 8.01 _ 3.40 = 27.2 lb/ft, which matches the manual value of 27.2 lb/ft. For metric: weight (kg/m) = A (mm^2) * 7,850 / 1,000,000.

Are HSS sections more expensive than W-shapes? On a per-pound basis, HSS typically costs 15-30% more than W-shapes. However, for column applications the weight savings from using HSS (with rx = ry, no weak axis) often offset the material cost premium. Total installed cost comparison should account for connection complexity — HSS connections often require slotting, through-plates, or end plates that add fabrication cost.

Where can I find HSS connection design information? Refer to AISC Design Guide 24: Hollow Structural Section Connections. For bolted connections, through-bolts with bearing checks on the HSS wall are common. For welded connections, AWS D1.1 provides prequalified joint details. Our HSS Connection Design Guide covers common connection types.

Try it now: Select an HSS section with our free column calculator

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