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    Low and high shear

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    Low and high shear

    The shear verification affects bending and axial resistances according to EN 1993-1-1. The "low shear" is defined by the following condition:

    Where is:

    The shear force

    The shear resistance

    Otherwise, "High shear" appears. If there are shear shear forces due to torsion in the cross-section, the value of resistance (reduced value due to torsion, described in the chapter "Shear stress due to torsion") is used instead of the resistance . The design values of the axial and bending resistances are reduced for "High shear". The reduction is based on the reduction factor for yield strength according to the following formula

    Where is:

    The reduction factor making an allowance for the presence of shear forces

    The yield strength

    The reduction factor is given by formula

    or by the expression

    for shear due to torsion

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    [Solved] A beam section is classed as low shear case when the factore

    Concept: According to IS code: 800-2007 clause no: 8.2.1.2 When the factored design shear force does not exceed 0.6 Vd where Vd is the design shear

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    A beam section is classed as low shear case when the factored shear force is less than:

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    0.4 Vd 0 Vd 0.6 Vd 0.8 Vd

    Answer (Detailed Solution Below)

    Option 3 : 0.6 Vd

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    Concept:According to IS code: 800-2007 clause no: 8.2.1.2

    When the factored design shear force does not exceed 0.6 Vd where Vd is the design shear strength of the cross-section.

    The design bending strength Md  can be taken as

    β γ Md = βbZpfyγmo

    To avoid irreversible deformation under serviceability loads, Md shall be less than

    γ 1.2 Ze fyγmo

    incase of simply supported and

    γ 1.5 Ze fyγmo

    in cantilever beams;

    where,

    βb = 1.0 for plastic and compact sections;

    βb = ZeZp

    for semi-compact sections;

    ZP, Ze. = plastic and elastic section modulus of the cross-section, respectively.

    fy = yield stress of the material.

    γmO = partial safety factor.

    A beam section is classed as a low shear case when the factored shear force is less than 0.6Vd.

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