UNEQUAL ANGLE SECTION PROPERTIES CALCULATOR

Unequal angle section properties calculator for area, distances from the centroidal axes to the back of the legs, second moment of area and radius of gyration about the centroidal axes calculation.

Unit System (Quick selection)	Metric Inch
INPUT PARAMETERS
Parameter	Value
Long leg [d]		mm cm m inch ft
Short leg [b]
Thickness [t]
Length [L]
Density [p]		g/cm^3 kg/m^3 lb/in^3

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RESULTS
Parameter	Value
Cross section area [A]	---	mm^2 cm^2 inch^2 ft^2
Mass [M]	---	kg lb
Second moment of area about x axis [Ix]	---	mm^4 cm^4 inch^4 ft^4
Second moment of area about y axis [Iy]	---
Radius of gyration [rx]	---	mm cm m inch ft
Radius of gyration [ry]	---
Distance from the centroid to the back of the long leg [xc]	---	mm cm m inch ft
Distance from the centroid to the back of the short leg [yc]	---

Note: Use dot "." as decimal separator.

Definitions:

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

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.

Angle Section Formula:

ANGLE WITH UNEQUAL LEGS
Parameter	Symbol	Equation
Cross section area	A	A = t(b + d - t)
Area moment of inertia	Ix	Ix = 1/3*[bd3 - (b-t) * (d-t)3] - A * (d - yc)2
Area moment of inertia	Iy	Iy = 1/3*[db3 - (d-t) * (b-t)3] - A * (b - xc)2
Distance from the centroid to the back of the long leg	xc	xc=(b2+dt-t2)/(2*(b+d-t))
Distance from the centroid to the back of the short leg	yc	yc=(d2+bt-t2)/(2*(b+d-t))
Mass	M	M = ALρ
Radius of gyration	rx	rx = (Ix/A)^0.5
Radius of gyration	ry	ry = (Iy/A)^0.5

Supplements:

• Standard Beam Channel Sizes Dimensions
• Section Properties Calculators

Reference:

• Young.W.C., Budynas.R (2011). Roark's Formulas for Stress and Strain, 8th Edition . McGraw-Hill, Appendix A