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D.5.B.14.1 Reduction in Bending due to Shear

EN 1993-1-1:2005 has provisions to reduce the moment resistance of the cross section when certain conditions for shear capacity are not met as mentioned in Cl:6.2.8. The Dutch National annex also specifies for:

  • Class 1 and Class 2 I-section with equal flanges for bending about weak, the design value of the yield moment reduced by shear will be determined using:
    M z , V , Rd = q y × W Pl , z × f y γ M0
    where
    q y
    =
    1.03 1 - ( V y , Ed V pl , y , Rd ) 2
    W Pl , z
    =
    the plastic section modulus of the member about the Z axis
    f y
    =
    yield strength
    V y , Ed
    =
    shear force applied in the Y direction
    V pl , y , Rd
    =
    shear capacity in the Y direction.

    STAAD.Pro calculates this per Eqn. 6.18 in EN 1993-1-1 as described in the National Annex using A v = 2 b × t f .

    γ M0
    =
    safety factor
  • Class 1 and Class 2 square and rectangular hollow sections when bending about strong axis, the design yield moment reduced by shear force may be determined using:
    M Y , V , Rd = M pl , Y , Rd - [ ( 1 - q z ) 1 2 t × h 2 × f y ] γ M0
    where
    q z
    =
    1.03 1 - ( V z , Ed V pl , z , Rd ) 2
    M pl , Y , Rd
    =
    the plastic moment capacity about the Y axis
    t
    =
    thickness of the member
    h
    =
    depth of the member
    V z , Ed
    =
    shear force applied in the Z direction
    V pl , z , Rd
    =
    shear capacity in the Z direction.

    STAAD.Pro calculates this per Eqn. 6.18 in EN 1993-1-1 as described in the National Annex using A v = h b + h A

  • For class 1 and 2 square and rectangular hollow section when bending about weak axis, the design yield moment reduced by shear force may be determined using:
    M z , V , Rd = M pl , z , Rd - [ ( 1 - q y ) 1 2 t × b 2 × f y ] γ M0
    where
    M pl , Z , Rd
    =
    the plastic moment capacity about the Z axis
    b
    =
    width of the member
    V pl , y , Rd
    =
    shear capacity in the Z direction.

    STAAD.Pro calculates this per Eqn. 6.18 in EN 1993-1-1 as described in the National Annex using A v = b b + h A