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Verification according to AISC 360-22 (LRFD, ASD)

Check for interaction of flexure and axial force

Required axial stress is provided by:

where:

A

-

area of cross section

Available axial stress is provided by:

  • For LRFD: Fca = Fy ϕ
  • For ASD: Fca = Fy / Ω

where:

Fy

-

specified minimum yield stress

ϕ

-

safety factor (LRFD)

Ω

-

resistance factor (ASD)

Required flexural stress is provided by:

where:

S

-

elastic section modulus

Available flexure stress is provided by:

  • For LRFD: Fcbw = Fy ϕ
  • For ASD: Fcbw = Fy / Ω

Value of utilization for interaction of flexure and axial force is calculated as:

Check for shear

The nominal shear strength of I or U-shape is provided by:

¨

where:

Fy

-

specified minimum yield stress of the type of the steel being used

Aw

-

area of web, the overall depth times the web thickness dtw

For webs of I-shaped members with:

where:

h

-

clear distance between flanges less the fillet at each flange

tw

-

thickness of web

E

-

modulus of elasticity of steel

then:

For all other I-shaped members and channels when:

where:

kv

-

web plate shear buckling coefficient = 5.34

h

-

for built-up welded sections, the clear distance between flanges

then:

otherwise if:

then:

Shear strength of interior web panels is provided by:

when:

then:

otherwise if:

then:

otherwise if:

Nominal shear strength of round HSS shall be determined as:

where:

where:

D

-

outside diameter

t

-

design wall thickness

but:

Check for shear force is determined as:

  • for LRFD: Q / (Vn ϕv ) ≤ 1.0
  • for ASD: Q / (Vn / Ωv ) ≤ 1.0

State of plane stress check

Reference stress is provided by:

where:

σx

-

normal stress

τ

-

shear stress

Check for plane stress is provided due to this condition:

  • For LRFD: σv / (Fy ϕ) ≤ 1.0
  • For ASD: σv / (Fy / Ω) ≤ 1.0

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