S shapes (American standard beams)

S12X31.8 S310X47.3

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 = 5d = 12tf = 0.544tf = 0.544tw = 0.35tw = 0.35
Cross-section, to scaledimensions in inches

Dimensions

Depthd
12in
Flange widthbf
5in
Web thicknesstw
0.35in
Flange thicknesstf
0.544in
Distance k (design)kdes
1.19in
Distance k (detailing)kdet
1.188in
Web clear depthT
9.625in
Distance between flange centroidsho
11.5in

Mass and area

Mass per lengthm
31.8lb/ft
Cross-sectional areaA
9.31in²

Strong axis x–x

Moment of inertiaIx
217in⁴
Elastic section modulusSx
36.2in³
Plastic section modulusZx
41.8in³
Radius of gyrationrx
4.83in

Weak axis y–y

Moment of inertiaIy
9.33in⁴
Elastic section modulusSy
3.73in³
Plastic section modulusZy
6.44in³
Radius of gyrationry
1in

Torsion and stability

Torsional constantJ
0.878in⁴
Warping constantCw
306in⁶
Effective radius of gyrationrts
1.21in

Slenderness ratios

Flange slendernessbf/2tf
4.6
Web slendernessh/tw
28.3

Equivalents in other standards