Square Channel

A square channel, also called square C-channel or square U-channel, is a type of structural steel member with a cross-sectional shape resembling the letter "C" or "U." In the case of a square channel, the cross-sectional shape is square rather than the more common rectangular shape of a standard C-channel or U-channel. It has four equal length sides forming a square, and one side of the square is open.

Square channels are often used in construction and engineering applications where a combination of torsional resistance, load-bearing capacity, and ease of connection is required. The open side of the square channel provides a convenient space for attaching other structural components, fasteners, or fixtures.

See Article - Geometric Properties of Structural Shapes

area of a Square Channel formula
$A \;=\; w\cdot l - h \cdot \left( w - t \right)$
Symbol	English	Metric
$A$ = area	$\large{ in^2 }$	$\large{ mm^2 }$
$h$ = height	$\large{ in }$	$\large{ mm }$
$l$ = height	$\large{ in }$	$\large{ mm }$
$t$ = thickness	$\large{ in }$	$\large{ mm }$
$w$ = width	$\large{ in }$	$\large{ mm }$

Distance from Centroid of a Square Channel formulas
$C_x \;=\; \dfrac{ 2\cdot w^2 \cdot s + h\cdot t^2 }{ 2\cdot w\cdot l - 2\cdot h \cdot \left( w - t \right) }$ $C_y \;=\; \dfrac{ l }{ 2}$
Symbol	English	Metric
$C$ = distance from centroid	$\large{ in }$	$\large{ mm }$
$h$ = height	$\large{ in }$	$\large{ mm }$
$l$ = height	$\large{ in }$	$\large{ mm }$
$s$ = thickness	$\large{ in }$	$\large{ mm }$
$t$ = thickness	$\large{ in }$	$\large{ mm }$
$w$ = width	$\large{ in }$	$\large{ mm }$

Elastic Section Modulus of a Square Channel formulas
$S_{x} \;=\; \dfrac{ I_{x} }{ C_{y} }$ $S_{y} \;=\; \dfrac{ I_{y} }{ C_{x} }$
Symbol	English	Metric
$S$ = elastic section modulus	$\large{ in^3 }$	$\large{ mm^3 }$
$C$ = distance from centroid	$\large{ in }$	$\large{ mm }$
$I$ = moment of inertia	$\large{ in^4 }$	$\large{ mm^4 }$

Perimeter of a Square Channel formula
$P \;=\; 2 \cdot \left( 2\cdot w + l \right) - 2\cdot t$
Symbol	English	Metric
$P$ = perimeter	$\large{ in }$	$\large{ mm }$
$l$ = height	$\large{ in }$	$\large{ mm }$
$s$ = thickness	$\large{ in }$	$\large{ mm }$
$t$ = thickness	$\large{ in }$	$\large{ mm }$
$w$ = width	$\large{ in }$	$\large{ mm }$

Polar Moment of Inertia of a Square Channel formulas
$J_{z} \;=\; I_{x} + I_{y}$ $J_{z1} \;=\; I_{x1} + I_{y1}$
Symbol	English	Metric
$J$ = torsional constant	$\large{ in^4 }$	$\large{ mm^4 }$
$I$ = moment of inertia	$\large{ in^4 }$	$\large{ mm^4 }$

Radius of Gyration of a Square Channel formulas
$k_{x} \;=\; \sqrt{ \dfrac{ w\cdot l^3 - h^3 \cdot \left( w - t \right) }{ 12 \cdot \left[ w\cdot l - h \cdot \left( w - t \right) \right] } }$ $k_{y} \;=\; \sqrt{ \dfrac{ I_{y} }{ A } }$ $k_{z} \;=\; \sqrt{ k_{x}{^2} + k_{y}{^2} }$ $k_{x1} \;=\; \sqrt{ \dfrac{ I_{x1} }{ A } }$ $k_{y1} \;=\; \sqrt{ \dfrac{ I_{y1} }{ A } }$ $k_{z1} \;=\; \sqrt{ k_{x1}{^2} + k_{y1}{^2} }$
Symbol	English	Metric
$k$ = radius of gyration	$\large{ in }$	$\large{ mm }$
$A$ = area	$\large{ in^2 }$	$\large{ mm^2 }$
$h$ = height	$\large{ in }$	$\large{ mm }$
$l$ = height	$\large{ in }$	$\large{ mm }$
$I$ = moment of inertia	$\large{ in^4 }$	$\large{ mm^4 }$
$t$ = thickness	$\large{ in }$	$\large{ mm }$
$w$ = width	$\large{ in }$	$\large{ mm }$

Second Moment of Area of a Square Channel formulas
$I_{x} \;=\; \dfrac{ w\cdot l^3 - h^3 \cdot \left( w - t \right) }{ 12 }$ $I_{y} \;=\; \dfrac{ 2\cdot s\cdot w^3 + h\cdot t^3 }{ 3 } - A\cdot C_{x}{^2}$ $I_{x1} \;=\; I_{x} + A\cdot C_{y}{^2}$ $I_{y1} \;=\; I_{y} + A\cdot C_{x}{^2}$
Symbol	English	Metric
$I$ = moment of inertia	$\large{ in^4 }$	$\large{ mm^4 }$
$A$ = area	$\large{ in^2 }$	$\large{ mm^2 }$
$C$ = distance from centroid	$\large{ in }$	$\large{ mm }$
$h$ = height	$\large{ in }$	$\large{ mm }$
$l$ = height	$\large{ in }$	$\large{ mm }$
$s$ = thickness	$\large{ in }$	$\large{ mm }$
$t$ = thickness	$\large{ in }$	$\large{ mm }$
$w$ = width	$\large{ in }$	$\large{ mm }$

Torsional Constant of a Square Channel formula
$J \;=\; \dfrac{ 2 \cdot \left( w - \dfrac{t}{2} \right) \cdot s^3 \cdot \left( l - s \right) \cdot t^3 }{ 3 }$
Symbol	English	Metric
$J$ = torsional constant	$\large{ in^4 }$	$\large{ mm^4 }$
$l$ = height	$\large{ in }$	$\large{ mm }$
$s$ = thickness	$\large{ in }$	$\large{ mm }$
$t$ = thickness	$\large{ in }$	$\large{ mm }$
$w$ = width	$\large{ in }$	$\large{ mm }$

Square Channel

area of a Square Channel formula

Distance from Centroid of a Square Channel formulas

Elastic Section Modulus of a Square Channel formulas

Perimeter of a Square Channel formula

Polar Moment of Inertia of a Square Channel formulas

Radius of Gyration of a Square Channel formulas

Second Moment of Area of a Square Channel formulas

Torsional Constant of a Square Channel formula

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Square Channel

area of a Square Channel formula

Distance from Centroid of a Square Channel formulas

Elastic Section Modulus of a Square Channel formulas

Perimeter of a Square Channel formula

Polar Moment of Inertia of a Square Channel formulas

Radius of Gyration of a Square Channel formulas

Second Moment of Area of a Square Channel formulas

Torsional Constant of a Square Channel formula

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