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Structural steel design:
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Steel sections are categorized in three category: compact, non-compact,
and slender sections based flange width to thickness ratio, b/t, and web
thickness to thickness ratio, h/tw.

Flange:
Compact section: when b/t £
lp.
The section is a compact section.
Non compact section: when lp
£
b/t £
lr.
The section is a non-compact section.
Slender section: when b/t >
lr.
The section is a slender section.
Web:
Compact section: when h/tw £
lp.
The section is a compact section
Non compact section: when lp
£
h/tw£
lr.
The section is a non-compact section.
Slender section: when h/tw >
lr
The section is a slender section.
Limits of lp
and
lr
AISC 13th edition Table B4.1
| Flexure in flanges of rolled
I shapes and channels |
b/t |
0.38ÖE/Fy |
1.0ÖE/Fy |
| Uniform compression in
flanges of rolled I shapes and channels |
b/t |
N/A |
0.56ÖE/Fy |
| Uniform compression in legs
of single angles |
b/t |
N/A |
0.45ÖE/Fy |
| Flexure in legs of single
angles |
b/t |
0.54ÖE/Fy |
0.91ÖE/Fy |
| Flexure in web of I shape and
channels |
h/tw |
3.76ÖE/Fy |
5.70ÖE/Fy |
| Uniform compression in webs
of rolled I shapes |
h/tw |
N/A |
1.49ÖE/Fy |
| Rectangular hollow structural
section (HSS) |
b/t |
1.12ÖE/Fy |
1.40ÖE/Fy |
| Rectangular hollow structural
section (HSS) |
h/t |
2.42ÖE/Fy |
5.70ÖE/Fy |
| Circle Hollow structural
section (HSS) in flexure |
D/t |
0.07ÖE/Fy |
0.31ÖE/Fy |
| Circle Hollow structural
section (HSS) in uniform compression |
D/t |
N/A |
0.11ÖE/Fy |
Note:
1. Most steel
rolled sections are compact sections.
2. For other
shapes, please see AISC manual.
Simply
supported beams
-
For simply
supported beam, the top flange is in compression. If the beam is directly
attached to roof deck or floor slab, the compression flange is fully
supported. The unsupported
length Lb is 0.
-
When the beam
supporting joists or other beams, and its flange is directly attached to the
supported joists or other beams, the unsupported length is the spacing of
the joists or other beams.
Cantilever
beams:
-
For cantilever
beam, the compression flange is at the bottom of the beam.
If the bottom flange is unbraced, the unsupported length is the
length of the cantilever beam.
-
If bracing is
provided at the bottom flange, the unsupported length is the spacing between
bracings.
Continuous
beams:
-
For the positive
moment portion of the beam, the compression flange is at the top of the
beam. The unsupported length is
determined as a simply supported beam.
-
For the negative
moment portion of the beam, the compression flange is at the bottom of the
beam. The unsupported length is
determined as a cantilever beam.
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