# C CHANNEL SECTION PROPERTIES CALCULATOR

C channel section properties calculator for C channel beam with straight leg (untapered leg).

C channel is a structural beam with C shaped cross section. Top and bottom plates are named as flanges and the vertical plate which connects the flanges is named as web. Steel, aluminum and stainless steel channels are available and manufacturing methods are hot rolling and extrusion.

 INPUT PARAMETERS Parameter Value Flange-flange inner face height [H] mm cm m inch ft Width [B] Flange thickness [h] Web thickness [b] Length [L] Density [p] g/cm^3 kg/m^3 lb/in^3

 RESULTS Parameter Value Cross section area [A] --- mm^2 cm^2 inch^2 ft^2 Mass [M] --- kg lb Second moment of area [Ixx] --- mm^4 cm^4 inch^4 ft^4 Second moment of area [Iyy] --- Section modulus [Sxx] --- mm^3 cm^3 inch^3 ft^3 Minimum section modulus [Syy] --- Radius of gyration [rx] --- mm cm m inch ft Radius of gyration [ry] --- Centroid distance in x direction [xc] --- mm cm m inch ft Centroid distance in y direction [yc] ---

Note: Use dot "." as decimal separator.

### Definitions:

Radius of Gyration (Area): The distance from an axis at which the area of a body may be assumed to be concentrated and the second moment area of this configuration equal to the second moment area of the actual body about the same axis.

Second Moment of Area: The capacity of a cross-section to resist bending.

Section Modulus: The moment of inertia of the area of the cross section of a structural member divided by the distance from the center of gravity to the farthest point of the section; a measure of the flexural strength of the beam.

### C Channel Section Properties Formula:

 C SECTION (C-BEAM) Parameter Symbol Equation Cross section area A A = 2Bh + Hb Area moment of inertia Ixx Ixx = H3b/12 + 2[h3B/12 + hB(h+H)2/4] Area moment of inertia Iyy Iyy = b3H/12 + bH(xcog-b/2)2+ 2B3h/12+ 2Bh(xcog - B/2)2 Section modulus Sxx Sxx = Ixx/yc Minimum section modulus Syy Syy = Iyy/(B-xc) Centroid xc xc = (2hB2/2 + b2H/2)/A Centroid yc yc= H/2 + h Mass M M = ALρ Radius of gyration r r = (I/A)^0.5

### Reference:

• Oberg, E. , Jones ,F.D. , Horton H.L. , Ryffel H.H., (2016) . Machinery's Handbook . 30th edition.  Industrial Press Inc.
• Oberg, E. , Jones ,F.D. , Horton H.L. , Ryffel H.H., (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc.