Angles (L)

L7X4X5/8 L178X102X15.9

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 = 0.625t = 0.625
Cross-section, to scaledimensions in inches

Dimensions

Depthd
4in
Widthb
7in
Thicknesst
0.625in
Distance k (design)kdes
1.13in
Distance k (detailing)kdet
1.125in

Mass and area

Mass per lengthm
22.1lb/ft
Cross-sectional areaA
6.5in²

Strong axis x–x

Moment of inertiaIx
32.4in⁴
Elastic section modulusSx
7.12in³
Plastic section modulusZx
12.5in³
Radius of gyrationrx
2.23in

Weak axis y–y

Moment of inertiaIy
7.79in⁴
Elastic section modulusSy
2.56in³
Plastic section modulusZy
4.69in³
Radius of gyrationry
1.1in

Principal axes

Moment of inertia, minor principal axisIz
4.81in⁴
Section modulus, minor principal axisSz
2.17in³
Radius of gyration, minor principal axisrz
0.86in
Tangent of principal axis angletan α
0.329

Torsion and stability

Torsional constantJ
0.868in⁴
Warping constantCw
2.37in⁶
Polar radius (shear center)r̄o
3.34in

Centers

Centroidx̄
0.958in
Centroidȳ
2.45in
Plastic neutral axisxp
0.464in
Plastic neutral axisyp
1.8in

Slenderness ratios

Wall slendernessb/t
11.2

Equivalents in other standards