S shapes (American standard beams)

S20X75 S510X112

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 = 6.39d = 20tf = 0.795tf = 0.795tw = 0.635tw = 0.635
Cross-section, to scaledimensions in inches

Dimensions

Depthd
20in
Flange widthbf
6.39in
Web thicknesstw
0.635in
Flange thicknesstf
0.795in
Distance k (design)kdes
1.63in
Distance k (detailing)kdet
1.625in
Web clear depthT
16.75in
Distance between flange centroidsho
19.2in

Mass and area

Mass per lengthm
75lb/ft
Cross-sectional areaA
22in²

Strong axis x–x

Moment of inertiaIx
1,280in⁴
Elastic section modulusSx
128in³
Plastic section modulusZx
152in³
Radius of gyrationrx
7.62in

Weak axis y–y

Moment of inertiaIy
29.5in⁴
Elastic section modulusSy
9.25in³
Plastic section modulusZy
16.7in³
Radius of gyrationry
1.16in

Torsion and stability

Torsional constantJ
4.59in⁴
Warping constantCw
2,720in⁶
Effective radius of gyrationrts
1.49in

Slenderness ratios

Flange slendernessbf/2tf
4.02
Web slendernessh/tw
26.6

Equivalents in other standards