Angles (L)

L7X4X1/2 L178X102X12.7

Standard: AISC Shapes Database v16.0Source: AISC (aisc.org) — Shapes Database v16.0 (Excel file)
Values published by AISC, in US customary (original) and SI units.
xyb = 7d = 4t = 0.5t = 0.5
Cross-section, to scaledimensions in inches

Dimensions

Depthd
4in
Widthb
7in
Thicknesst
0.5in
Distance k (design)kdes
1in
Distance k (detailing)kdet
1in

Mass and area

Mass per lengthm
17.9lb/ft
Cross-sectional areaA
5.26in²

Strong axis x–x

Moment of inertiaIx
26.6in⁴
Elastic section modulusSx
5.79in³
Plastic section modulusZx
10.2in³
Radius of gyrationrx
2.25in

Weak axis y–y

Moment of inertiaIy
6.48in⁴
Elastic section modulusSy
2.1in³
Plastic section modulusZy
3.77in³
Radius of gyrationry
1.11in

Principal axes

Moment of inertia, minor principal axisIz
3.94in⁴
Section modulus, minor principal axisSz
1.75in³
Radius of gyration, minor principal axisrz
0.866in
Tangent of principal axis angletan α
0.334

Torsion and stability

Torsional constantJ
0.456in⁴
Warping constantCw
1.25in⁶
Polar radius (shear center)r̄o
3.37in

Centers

Centroidx̄
0.91in
Centroidȳ
2.4in
Plastic neutral axisxp
0.376in
Plastic neutral axisyp
1.74in

Slenderness ratios

Wall slendernessb/t
14

Equivalents in other standards