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Notations

VEd= Design value of the shear force
Vc,Rd = Design shear resistance
S = The first moment of area about the centroidal axis of that pOltion of the cross-section between the point at which the shear is required and thc boundary of the cross-section
I= Second moment of area of the whole cross section
t = Thickness at the examined point
fy= Yield strength
YMO = Partial factor for resistance of cross-sections whatever the class is
τEd = Design shear stresses

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6.2.6 Shear

Design of shear should satisfy Eq. 6.17.

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body--uriencoded--$$ \normalsize \frac%7BV_E_d %7D%7BV_c_,_R_d%7D≤1.0 $$

For class 1 and 2:

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body--uriencoded--$$ \normalsize V_c,_R_d =V_p_l,_R_d =\frac%7B A_v( f_y/√3)%7D%7Bγ_m_0%7D$$

Av, shear area, is taken into account as follows:

  • For I and H sections:

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    body$$ \normalsize A - 2bt_f + (t_w + 2r) t_f $$

  • for channel sections:

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    body$$ \normalsize A - 2bt_f + (t_w + r) t_f $$

For class 3 and 4:

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body--uriencoded--$$ \normalsize \frac%7Bτ_E_d %7D%7Bf_y/(√3 γ_m_0)%7D≤1.0 $$

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body--uriencoded--$$ \normalsize τ_E_d =\frac%7B V_E_d S %7D%7BI t%7D$$

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body--uriencoded--$$ \normalsize V_c,_R_d =V_e_l,_R_d =\frac%7B I t ( f_y/√3)%7D%7BS γ_m_0%7D$$

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