STEEL ANGLES WITH EQUAL LEGS ("L" SHAPES)

"Steel Angles with Equal Legs Calculator" has been developed to show basic dimensions and sectional properties of steel angles with equal legs.

The designation of the steel angles (also known as L Shapes) gives information about the width of each leg and thickness. For example L 3 × 3 × 1⁄4 means a 3 × 3-inch angle of 1⁄4-inch thickness. Angles are often used as tension members of trusses and towers, framing members for machine structures, brackets.

The following dimensional and property information for steel angles with equal legs is given in Steel Construction Manual for the angles covered in ASTM A 6/A 6M standard.  Section properties data are given for the X axis and Y axis. Additional data are given for the Z axis, which is defined as the axis having the smallest value of radius of gyration. The column tends to buckle about the Z-axis.

Calculator:

INPUT PARAMETERS
Actual Depth Thickness

 

Structural Steel Shapes - L Shape
OUTPUT PARAMETERS
Parameter Symbol Value Unit
Designation --- --- ---
Distance from outer face of flange to web toe of fillet k --- in
Weight per unit length W --- lb/ft
Cross section area A --- in2
Long Leg d --- in
Short Leg b ---
Thickness t ---
Axis X-X Area moment of inertia about X axis Ix --- in4
Elastic section modulus about X axis Sx --- in3
Radius of gyration about X axis rx --- in
Vertical distance from the outer edge of the angle leg to its centroid y --- in
Plastic section modulus about X axis Zx --- in3
Vertical distance from the designated edge of member to its plastic neutral axis yp --- in
Axis Y-Y Area moment of inertia about Y axis Iy --- in4
Elastic section modulus about Y axis Sy --- in3
Radius of gyration about Y axis ry --- in
Horizontal distance from the outer edge of the angle leg to its centroid x --- in
Plastic section modulus about Y axis Zy --- in3
Horizontal distance from the designated edge of member to its plastic neutral axis xp --- in
Axis Z-Z Area moment of inertia about Z axis Iz --- in4
Elastic section modulus about Z axis Sz --- in3
Radius of gyration about Z axis rz --- in
Tangent of the angle of inclination wrt. Y axis Tan α --- ---
Flexural- Torsional Properties Polar moment of area J --- in4
Warping constant Cw --- in6
Polar radius of gyration about the shear center ro --- in
Reduction Factor for Unstiffened Slender Elements Qs (Fy = 36 ksi) --- ---
Workable gage ** g --- in
g1 ---
g2 ---

Note: Use dot "." as decimal separator.

Note:**Other gages are permitted to suit specific requirements subject to clearances and edge distance limitations.

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.

Workable Gages: The transverse center-to-center spacing of fasteners. Use g value for one fastener and g1 and g2 for 2 fasteners.

Reference:

  • American Institute of Steel Construction, Manual of Steel Construction, 13th Edition. Chicago: AISC, 2005.
  • Oberg, E., Jones, F. D., Horton, H. L., & Ryffel, H. H. (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc., pp 2594 - 2597
  • A 6/A 6M - 05a , Standard Specification for General Requirements for Rolled Structural Steel Bars, Plates, Shapes, and Sheet Piling