Calculation of first order eccentricity without effect of imperfection

There are two options for calculation first order moments and eccentricity in SCIA Engineer depending on check box Use equivalent first order value,see "Use equivalent first order value"

e0y = M0ez / NEd, e0z = M0ey / NEd

e0y = Mz / NEd, e0z = My / NEd

where

e0,y(z) the 1st order eccentricity in direction of y (z) axis of LCS
My(z) the 1st order moment around of y (z) axis of LCS
NEd the design axial force in calculated section of the column (in SCIA Engineer value N)
e0e,y(z) the 1st order equivalent eccentricity in direction of y (z) axis of LCS
M0e,y(z) the 1st order equivalent moment around of y (z) axis of LCS

The 1st order equivalent moment is calculated according to clause 5.8.8.2 (2) in EN 1992-1-1

M0,ey = max (0,6 ∙ M02,y +0,4 ∙ M01,y; 0,4 ∙ M02,y)

M0,ez = max (0,6 ∙ M02,z +0,4 ∙ M01,z; 0,4 ∙ M02,z)

where

M01y(z) the first end bending moments around y(z) axis of LCS with lesser absolute value as second end bending moment. |M01y(z)| < |M02y(z)| The same values are used for calculation limit slenderness
M02y(z) the second end bending moments around y(z) axis of LCS with greater absolute value as first end bending moment. |M02y(z)| ≥ |M01y(z)| The same values are used for calculation limit slenderness

The 1st order equivalent bending moment is calculated only if construction is braced (non-sway) and there are no transverse loads on the column.

The user (real) reinforcement defined via REDES and free bars are not taken into account for calculation effective depth of cross-section for design reinforcement to column (Type of check = Design ULS in service Internal forces)

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