S shapes (American standard beams)

S20X86 S510X128

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 = 7.06d = 20.3tf = 0.92tf = 0.92tw = 0.66tw = 0.66
Cross-section, to scaledimensions in inches

Dimensions

Depthd
20.3in
Flange widthbf
7.06in
Web thicknesstw
0.66in
Flange thicknesstf
0.92in
Distance k (design)kdes
1.75in
Distance k (detailing)kdet
1.75in
Web clear depthT
16.75in
Distance between flange centroidsho
19.4in

Mass and area

Mass per lengthm
86lb/ft
Cross-sectional areaA
25.3in²

Strong axis x–x

Moment of inertiaIx
1,570in⁴
Elastic section modulusSx
155in³
Plastic section modulusZx
183in³
Radius of gyrationrx
7.89in

Weak axis y–y

Moment of inertiaIy
46.6in⁴
Elastic section modulusSy
13.2in³
Plastic section modulusZy
23.1in³
Radius of gyrationry
1.36in

Torsion and stability

Torsional constantJ
6.65in⁴
Warping constantCw
4,370in⁶
Effective radius of gyrationrts
1.71in

Slenderness ratios

Flange slendernessbf/2tf
3.84
Web slendernessh/tw
25.6

Equivalents in other standards