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Tip

  • The nominal flexural strength limit states yielding, and lateral-torsional buckling are controlled automatically according to AISC 360-16.

Tip

  • For design members for flexure, sections are automatically classified as compact, non-compact, or slender-element sections, according to AISC 360-16.

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Symbols

Cb : The lateral-torsional buckling modification factor
E : Modulus of elasticity of steel = 29,000 ksi (200 000 MPa)
Fcr : Lateral-torsional buckling stress for the section as determined by analysis, ksi (MPa
Fy : Specified minimum yield stress of the type of steel being used, ksi
Its : Effective radius of inertia
J : Torsional constant
ho : Distance between the flange centroids, in. (mm)
Lb : Length between points that are either braced against lateral displacement of the compression flange or braced against twist of the cross-section, in. (mm)
Lp : The limiting laterally unbraced length for the limit state of yielding, in. (mm)
Lr: The limiting unbraced length for the limit state of inelastic lateral-torsional buckling, in. (mm),
Mmax : absolute value of maximum moment in the unbraced segment, kip-in. (N-mm)
MA : absolute value of moment at quarter point of the unbraced segment, kip-in. (N-mm)
MB : absolute value of moment at centerline of the unbraced segment, kip-in. (N-mm)
MC : absolute value of moment at three-quarter point of the unbraced segment, kip-in. (N-mm)
Mn : The nominal flexural strength
Mp : Plastic bending moment
ry : Radius of gyration about the y-axis
Sx : Elastic section modulus taken about the x-axis, in.3 (mm3)
Zx = Plastic section modulus about the x-axis, in.3 (mm3)

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Mathinline
body--uriencoded--$$ \normalsize C_%7Bb%7D = \dfrac %7B12.5M_%7Bmax%7D%7D%7B 2.5M_%7Bmax%7D+3M_A+4M_B+3M_C%7D \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; \; \; \; \; \;\;\;\;\; (F2F1-41) $$

Limiting laterally unbraced length for the limit state of yielding, Lp is calculated below.

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Mathinline
body--uriencoded--$$ \normalsize r_%7Bts%7D%5e2 = \dfrac%7BI_yh_o%7D%7B2S_x%7D $$

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Next Topic

Square And Rectangular HSS and Box Sections Flexural Design Doubly Symmetric I-Shaped Members with Compact Webs and Noncompact or Slender Flanges Bent About Their Major Axis per AISC 360-16 with ideCAD