ANGLE WITH UNEQUAL LEGS - SECTION PROPERTIES CALCULATOR

Section properties of angle with unequal legs are calculated by following calculator. 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 for angle with unequal legs are given in the "List of Equations" section.



Calculator:

Sectional properties of angle with unequal legs
Unit System (Quick selection)
INPUT PARAMETERS
Parameter Symbol Value Unit
Long leg d
Short leg b
Thickness t
Length L
Density p

OUTPUT PARAMETERS
Parameter Symbol Value Unit
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
Step Parameter/Condition Symbol Equation
1 Cross section area A A = t(b + d - t)
2 Area moment of inertia Ix Ix = 1/3*[bd3 - (b-t) * (d-t)3] - A * (d - yc)2
3 Area moment of inertia Iy Iy = 1/3*[db3 - (d-t) * (b-t)3] - A * (b - xc)2
4 Distance from the centroid to
the back of the long leg
xc xc=(b2+dt-t2)/(2*(b+d-t))
5 Distance from the centroid to
the back of the short leg
yc yc=(d2+bt-t2)/(2*(b+d-t))
6 Mass M M = ALρ
7 Radius of gyration rx rx = (Ix/A)^0.5
8 Radius of gyration ry ry = (Iy/A)^0.5

Reference: