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Beams. BEAMS. A structural member loaded in the transverse direction to the longitudinal axis. Internal Forces: Bending Moments and Shear. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability.

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Presentation Transcript
beams2
BEAMS

A structural member loaded in the transverse direction to the longitudinal axis.

Internal Forces:

Bending Moments and Shear

structural steel characteristics
Structural Steel - Characteristics

Buckling: Instability due to slenderness

classification of shapes
Classification of Shapes

Non-Compact Section

Compact Section

Web Local Buckling

Flange Local Buckling

bending strength of compact shapes
Bending Strength of Compact Shapes

Lateral Torsional Buckling

bending strength of compact shapes34
Bending Strength of Compact Shapes

Laterally Supported Compact Beams

elastic buckling37

L/4

L/4

L/4

L/4

Elastic Buckling

Cb = factor to account for non-uniform bending within the unbraced length

See AISC table 3-1 p 3.10

Mmax

A

B

C

elastic buckling40
Elastic Buckling

Cb = factor to account for non-uniform bending within the unbraced length

Rm= 1 for doubly symmetric cross sections and singly symmetric subject to single curvature

See textbook p 190 for other cases

elastic buckling41
Elastic Buckling

Cb = factor to account for non-uniform bending within the unbraced length

elastic buckling42
Elastic Buckling

Cb = factor to account for non-uniform bending within the unbraced length

ho = distance between flange centroids = d-tf

bending strength of compact shapes44
Bending Strength of Compact Shapes

Inelastic Buckling

Linear variation between Mp and Mr

nominal flexural strength non compact shapes
Nominal Flexural Strength – NON-Compact Shapes

Most W- M- S- and C- shapes are compact

A few are NON-compact

NONE is slender

Webs of ALL hot rolled shapes in the manual are compact

FLB and LTB

Built-Up welded shapes can have non-compact or slender webs

FLB, WLB, LTB (AISC F4 and F5)