ANGLE WITH UNEQUAL LEGS - SECTION PROPERTIES CALCULATOR


Section properties calculator for angle with unequal legs. Area, distances from the centroidal axes to the back of the legs, second moment of area and radius of gyration about the centroidal axes are calculated section properties.

Section properties formulas are given below the calculator.


Angle Section Properties Calculator:

Section properties calculator for angle with unequal legs
Unit System (Quick selection)
INPUT PARAMETERS
Parameter Value
Long leg [d]
Short leg [b]
Thickness [t]
Length [L]
Density [p]

RESULTS
Parameter Value
Cross section area [A] ---
Mass [M] ---
Second moment of area about x axis [Ix] ---
Second moment of area about y axis [Iy] ---
Radius of gyration [rx] ---
Radius of gyration [ry] ---
Distance from the centroid to the back of the long leg [xc] ---
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.

List of Equations:

ANGLE WITH UNEQUAL LEGS
Sectional properties of 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

Reference: