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9.1.5 Determination of Deflection
Determination of Deflection
As described in chapter 2.2.5, it is possible to determine the probable value of the deformation according to equation (7.18) of EN 1992-1-1.
The distribution coefficient ζ between state I (uncracked sections) and state II (cracked sections) is determined as follows:
- β1 = 1.0 : ribbed steel
- β2 = 0.5 : permanent load
The first cracking moment Mcr is:
The stress σs,cr immediately after cracking is determined with Mcr as follows:
With the distribution coefficient ζ, the mean curvature is determined as follows:
Thus, the deflection f in the beam center can be determined as follows: