C & MC Channel Section Properties Quick Reference — AISC Channels

Quick-reference tables for C (American Standard) and MC (Miscellaneous) channel section properties per AISC. Properties include depth (d), flange width (bf), flange thickness (tf), web thickness (tw), cross-sectional area (A), moment of inertia (Ix), elastic section modulus (Sx), radius of gyration (rx), and plastic section modulus (Zx). All values from the AISC Steel Construction Manual, 16th Edition.

Channels are versatile structural shapes used for beams, columns, bracing, lintels, stair stringers, purlins, girts, and stiffeners. Their single-axis symmetry (C-shape with the web centered about the y-axis but offset about the x-axis) means the shear center does not coincide with the centroid, making channels prone to twisting under loads applied through the web. This must be accounted for in design.

Understanding Channel 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 Design Significance
Depth d in Overall depth; controls beam span-to-depth ratio
Flange width bf in Controls weak-axis bending and connection width
Flange thickness tf in Average flange thickness; drives flange local buckling (b/t)
Web thickness tw in Drives shear capacity (Vn = 0.6Fydtw) and web slenderness
Cross-sectional area A in^2 Axial capacity, weight (lb/ft = A * 3.40 for steel)
Moment of inertia, strong axis Ix in^4 Deflection control (delta ~ 1/Ix)
Elastic section modulus Sx in^3 Elastic bending stress: fb = M/Sx
Radius of gyration, strong axis rx in Strong-axis column buckling: KL/rx
Plastic section modulus Zx in^3 LRFD flexural strength: phi*Mn = 0.90 * Zx _ Fy
Weight per foot Wt lb/ft Dead load calculation, material ordering
Distance from back of web to centroid x in Used for connection eccentricity, shear center calculations

C Channels — Section Properties

American Standard Channels (C-shapes) with tapered flanges. Sorted by nominal depth and weight.

Shape d (in) bf (in) tf (in) tw (in) A (in^2) Ix (in^4) Sx (in^3) rx (in) Zx (in^3) Wt (lb/ft) x (in)
C3x3.5 3.00 1.373 0.273 0.132 1.03 1.64 1.10 1.26 1.25 3.50 0.368
C3x4.1 3.00 1.410 0.273 0.170 1.20 1.66 1.10 1.17 1.28 4.10 0.396
C3x5 3.00 1.498 0.273 0.258 1.47 1.85 1.24 1.12 1.44 5.00 0.458
C3x6 3.00 1.596 0.356 0.356 1.76 2.07 1.38 1.08 1.61 6.00 0.511
C4x4.5 4.00 1.584 0.296 0.125 1.32 3.66 1.83 1.67 2.12 4.50 0.399
C4x5.4 4.00 1.584 0.296 0.184 1.59 3.85 1.93 1.56 2.26 5.40 0.438
C4x7.25 4.00 1.721 0.296 0.321 2.13 4.59 2.29 1.47 2.67 7.25 0.510
C5x6.7 5.00 1.750 0.320 0.190 1.97 7.49 3.00 1.95 3.49 6.70 0.471
C5x9 5.00 1.885 0.320 0.325 2.64 8.90 3.56 1.84 4.13 9.00 0.542
C6x8.2 6.00 1.920 0.343 0.200 2.40 13.1 4.38 2.34 5.08 8.20 0.479
C6x10.5 6.00 2.034 0.343 0.314 3.09 15.2 5.06 2.22 5.88 10.5 0.536
C6x13 6.00 2.157 0.343 0.437 3.82 17.4 5.80 2.13 6.74 13.0 0.592
C7x9.8 7.00 2.090 0.366 0.210 2.87 21.3 6.08 2.72 7.08 9.80 0.498
C7x12.25 7.00 2.194 0.366 0.314 3.60 24.2 6.93 2.60 8.06 12.25 0.545
C7x14.75 7.00 2.299 0.366 0.419 4.33 27.2 7.78 2.51 9.04 14.75 0.591
C8x11.5 8.00 2.260 0.390 0.220 3.38 32.6 8.14 3.11 9.48 11.5 0.511
C8x13.75 8.00 2.343 0.390 0.303 4.04 36.1 9.03 2.99 10.5 13.75 0.547
C8x18.75 8.00 2.527 0.390 0.487 5.51 44.0 11.0 2.82 12.8 18.75 0.626
C9x13.4 9.00 2.433 0.413 0.233 3.94 47.9 10.6 3.48 12.4 13.4 0.526
C9x15 9.00 2.485 0.413 0.285 4.41 51.1 11.4 3.40 13.3 15.0 0.552
C9x20 9.00 2.648 0.413 0.448 5.88 60.9 13.5 3.22 15.8 20.0 0.617
C10x15.3 10.00 2.600 0.436 0.240 4.49 67.4 13.5 3.87 15.7 15.3 0.530
C10x20 10.00 2.739 0.436 0.379 5.88 78.5 15.7 3.66 18.3 20.0 0.589
C10x25 10.00 2.886 0.436 0.526 7.35 91.2 18.2 3.52 21.2 25.0 0.649
C12x20.7 12.00 2.942 0.501 0.282 6.08 129 21.5 4.61 25.0 20.7 0.600
C12x25 12.00 3.047 0.501 0.387 7.35 144 24.1 4.43 28.0 25.0 0.646
C12x30 12.00 3.170 0.501 0.510 8.81 162 27.0 4.29 31.4 30.0 0.699
C15x33.9 15.00 3.400 0.650 0.400 9.96 315 42.0 5.62 48.7 33.9 0.690
C15x40 15.00 3.520 0.650 0.520 11.8 349 46.5 5.44 54.0 40.0 0.738
C15x50 15.00 3.716 0.650 0.716 14.7 404 53.8 5.24 62.6 50.0 0.816

MC Channels — Section Properties

Miscellaneous Channels (MC-shapes) with wider flanges than C channels. Sorted by nominal depth.

Shape d (in) bf (in) tf (in) tw (in) A (in^2) Ix (in^4) Sx (in^3) rx (in) Zx (in^3) Wt (lb/ft) x (in)
MC3x7.1 3.00 2.055 0.312 0.312 2.09 2.87 1.91 1.17 2.22 7.10 0.527
MC4x13.8 4.00 2.500 0.500 0.500 4.06 10.6 5.30 1.62 6.16 13.8 0.790
MC6x6.5 6.00 1.750 0.300 0.124 1.91 14.0 4.67 2.71 3.82 6.50 0.382
MC6x8.5 6.00 1.874 0.300 0.194 2.50 13.9 4.62 2.35 5.27 8.50 0.456
MC6x12 6.00 2.497 0.310 0.310 3.52 18.8 6.27 2.31 7.20 12.0 0.645
MC6x15.3 6.00 2.941 0.375 0.375 4.50 20.2 6.74 2.12 7.83 15.3 0.754
MC6x18 6.00 3.504 0.375 0.375 5.29 21.6 7.19 2.02 8.41 18.0 0.886
MC7x19.1 7.00 2.845 0.399 0.350 5.62 41.1 11.7 2.70 13.6 19.1 0.685
MC7x22.7 7.00 3.001 0.399 0.450 6.67 42.9 12.3 2.53 14.4 22.7 0.735
MC8x8.5 8.00 1.874 0.311 0.179 2.50 23.2 5.79 3.05 6.78 8.50 0.446
MC8x20 8.00 3.010 0.400 0.400 5.88 55.6 13.9 3.08 16.0 20.0 0.743
MC8x21.4 8.00 3.400 0.400 0.375 6.28 51.8 12.9 2.87 15.0 21.4 0.820
MC8x22.8 8.00 3.503 0.427 0.427 6.70 56.7 14.2 2.91 16.4 22.8 0.871
MC9x23.9 9.00 3.409 0.400 0.400 7.01 80.3 17.8 3.38 20.6 23.9 0.824
MC9x25.4 9.00 3.533 0.449 0.449 7.47 81.3 18.1 3.30 20.9 25.4 0.870
MC10x8.4 10.00 1.500 0.300 0.170 2.47 33.8 6.76 3.70 7.91 8.40 0.428
MC10x22 10.00 3.315 0.450 0.290 6.47 96.8 19.4 3.87 22.2 22.0 0.811
MC10x25 10.00 3.405 0.450 0.380 7.35 102 20.4 3.72 23.6 25.0 0.843
MC10x28.5 10.00 3.938 0.450 0.425 8.37 103 20.6 3.51 24.0 28.5 0.954
MC10x33.6 10.00 3.979 0.550 0.450 9.87 125 25.1 3.56 28.9 33.6 0.992
MC10x41.1 10.00 4.321 0.600 0.500 12.1 136 27.2 3.35 31.7 41.1 1.090
MC12x10.6 12.00 1.500 0.300 0.177 3.10 58.2 9.69 4.33 11.4 10.5 0.417
MC12x31 12.00 3.454 0.475 0.370 9.11 186 31.0 4.52 35.6 31.0 0.835
MC12x35 12.00 3.534 0.475 0.466 10.3 194 32.4 4.34 37.3 35.0 0.872
MC12x40 12.00 3.887 0.625 0.500 11.8 206 34.4 4.18 39.6 40.0 0.967
MC12x45 12.00 4.016 0.625 0.562 13.2 218 36.3 4.06 42.0 45.0 1.002
MC13x31.8 13.00 3.468 0.500 0.375 9.35 232 35.7 4.98 40.9 31.8 0.852
MC13x35 13.00 3.520 0.500 0.435 10.3 236 36.3 4.79 41.8 35.0 0.875
MC13x40 13.00 3.625 0.550 0.500 11.8 248 38.2 4.59 44.0 40.0 0.913
MC13x50 13.00 3.990 0.600 0.590 14.7 284 43.7 4.39 50.8 50.0 1.009
MC18x42.7 18.00 3.950 0.625 0.450 12.6 554 61.5 6.64 70.2 42.7 0.975
MC18x45.8 18.00 3.985 0.625 0.500 13.5 563 62.6 6.46 71.7 45.8 0.988
MC18x51.9 18.00 4.043 0.625 0.600 15.3 589 65.4 6.21 75.3 51.9 1.016
MC18x58 18.00 4.153 0.625 0.700 17.1 625 69.4 6.05 80.2 58.0 1.050

Source: AISC Steel Construction Manual, 16th Edition, Tables 1-5 and 1-6. All values in US customary units.

How to Select a Channel for Beam Design

Channel beams require careful consideration because of their single-axis symmetry:

  1. Strong-axis bending: The x-x axis (parallel to the web). Use Ix and Sx for flexure checks. For a simply supported channel beam loaded through the shear center or with adequate torsional restraint: fb = M/Sx no greater than 0.66Fy (ASD) or phi*Mn = 0.90 * Zx _ Fy no greater than M (LRFD).

  2. Weak-axis consideration: Channel beams loaded through the web (the typical case) will twist because the shear center is outside the section (left of the web for a standard C-shape). This induces torsion and warping. For beams loaded through the web, lateral bracing at closer intervals or a boxed configuration (two channels back-to-back) is required.

  3. Lateral-torsional buckling: For unbraced channel beams, check LTB per AISC 360 Chapter F2 using the channel-specific Cb factor and Lp/Lr values.

  4. Bearing at supports: Check web yielding and web crippling at bearing points per AISC J10 — the thinner tw of channels makes this more critical than for W-shapes of similar weight.

Channel Selection for Built-Up Members

Channels are commonly used in built-up configurations:

Frequently Asked Questions

What is the x-bar distance and why does it matter? The x (or x-bar) distance is the distance from the back of the web to the centroid of the channel. This is critical because: (1) The shear center is located outside the section at x + e where e is an additional eccentricity. (2) When a load is applied through the web, it produces a torsional moment of P * (x + e). (3) For connection design, the bolt group centroid relative to the channel centroid determines eccentricity moments. Always check torsional effects when loading a channel through its web.

Are channels more efficient than W-shapes? Generally, no. W-shapes are more efficient for flexure because they have a larger proportion of material in the flanges and are doubly symmetric (no torsion from symmetric loading). Channels carry approximately 30-40% less moment per pound than a comparable W-shape. However, channels are preferred where connection geometry demands a flat back surface (bolting to a wall, girt, or column face) or where the section must fit within a narrow width constraint.

How do I calculate the weight of a channel? Weight per foot is listed in the table above or can be calculated as A _ 3.40 lb/ft per in^2 of steel. Example: C12x20.7 has A = 6.08 in^2, so weight = 6.08 _ 3.40 = 20.7 lb/ft. Total weight for a 30 ft member = 30 * 20.7 = 621 lbs.

What steel grade are channels available in? C channels are typically ASTM A36 (Fy = 36 ksi). MC channels can be A36 or ASTM A529 Gr 50 (Fy = 50 ksi). In the AISC Manual, properties are the same for both grades (E, geometry unchanged), but the capacity calculations differ. Always verify the mill cert to confirm grade before using Fy = 50 ksi assumptions.

Can I use channels as columns? Yes, but single channels are extremely weak about the y-y axis (ry is very small — typically 0.7-1.1 inches) and are torsionally unstable. A single channel column should be used only for very short lengths (KL less than 6 ft) with light axial loads. For column applications, use two channels laced or battened together, or use a W-shape or HSS section instead.

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