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D4.E.6.4 Members Subject to Shear

Factored shear resistance, Vr , developed by the web of flexural member is calculated as:

V r = ϕ A w F s
where
Aw
=
shear area

Fs is evaluated as:

  1. For unstiffened webs (Cl. 13.4.1.1.(a) ):

    1. when h w 1 , 014 F y , Fs = 0.66Fy

    2. when 1 , 014 F y < h w 1 , 435 F y , F s = 670 F y ( h / w )

    3. when h w > 1 , 436 F y , F s = 961 , 200 ( h / w ) 2

  2. For stiffened webs (i.e., when the STIFF parameter is specified) (Cl. 13.4.1.1(b) ):

    1. when h w 439 k v F y , Fs = 0.66Fy

    2. when 439 k v F y < h w 502 k v F y , Fs = Fcri

    3. when 502 k v F y < h w 621 k v F y , Fs = Fcri + ka(0.50Fy - 0.866Fcri)

    4. when 621 k v F y < h w , Fs = Fcre + ka(0.50Fy - 0.866Fcre)

    where
    Ae
    =
    shear buckling coefficient:
    1. when a/h < 1, k v = 4 + 5.34 ( a / h ) 2
    2. when a/h ≥ 1, k v = 5.34 + 4 ( a / h ) 2
    a/h
    =
    stiffener aspect ration (i.e., ratio of the distance between stiffeners to web depth)
    Fcri
    =
    290 F y k v ( h / w )
    ka
    =
    aspect coefficient = 1 1 + ( a / h ) 2
    Fcre
    =
    180 , 000 k v ( h / w ) 2

For tubular members, the shear resistance, Vr , is calculated as:

V r = 0.66 ϕ ( A e / 2 ) F y
where
Ae
=
the cross-sectional area of the tubular member