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2 Theoretical Background

2.6.4.5 Check of provided reinforcement for SLS

Check of provided reinforcement for SLS

First, the strain ratio εφ2 / εφ1 = 1.0 is assumed for the serviceability limit state. With it, the following values are determined:

Image 2.86 Design moments in SLS for strain ratio of 1.0
Table 2.2

mend,-z,φ1 = 38.49 kNm/m

mend,-z,φ2 = 25.25 kNm/m

Stiffening compression moment:

mend,-z,strut = −22.94 kNm/m

Direction of stiffening compression moment:

φstrut,m,-z = 75.0°

For these design moments, a required reinforcement of as,dim,-z,1 = 4.33 cm2/m in the first reinforcement direction and of as,dim,-z,2 = 3.04 cm2/m in the second reinforcement direction is determined at the top surface of the plate.

Image 2.87 Statically required reinforcement for internal forces in SLS

The required reinforcement for the internal forces of the serviceability limit state is smaller than the user-defined provided reinforcement. Hence, we can continue with the analysis.