S shapes (American standard beams)

S4X7.7 S100X11.5

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.
xybf = 2.66d = 4tf = 0.293tf = 0.293tw = 0.193tw = 0.193
Cross-section, to scaledimensions in inches

Dimensions

Depthd
4in
Flange widthbf
2.66in
Web thicknesstw
0.193in
Flange thicknesstf
0.293in
Distance k (design)kdes
0.75in
Distance k (detailing)kdet
0.75in
Web clear depthT
2.5in
Distance between flange centroidsho
3.71in

Mass and area

Mass per lengthm
7.7lb/ft
Cross-sectional areaA
2.26in²

Strong axis x–x

Moment of inertiaIx
6.05in⁴
Elastic section modulusSx
3.03in³
Plastic section modulusZx
3.5in³
Radius of gyrationrx
1.64in

Weak axis y–y

Moment of inertiaIy
0.748in⁴
Elastic section modulusSy
0.562in³
Plastic section modulusZy
0.97in³
Radius of gyrationry
0.576in

Torsion and stability

Torsional constantJ
0.0732in⁴
Warping constantCw
2.57in⁶
Effective radius of gyrationrts
0.676in

Slenderness ratios

Flange slendernessbf/2tf
4.54
Web slendernessh/tw
14.1

Equivalents in other standards