# Longitudinal reinforcements of a rectangular section in bending at the SLS, `A`_{sc} and `A`_{s}

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## Eurocode 2 - Design of concrete sections Method b9

The reinforcements of a rectangular section in bending at the SLS by stress limitation are calculated according to method b9.

The parameters needed for the design are the followings:

`E`_{s}- is the design value of the modulus of elasticity of the reinforcing steel, see § 3.2.7 (4);
`f`_{yk}- is the yield strength of the reinforcing steel, see § 3.2.2 (3)P;
`k`_{3}- is a Nationally Determined Parameter, see § 7.2 (5);
- •
- Concrete class: see Table 3.1;
`E`_{c,eff}- is the effective modulus of elasticity of concrete;
`k`_{1}- is a Nationally Determined Parameter, see § 7.2 (2);
`b`- is the width of the concrete cross-section;
`d`- is the effective depth of the concrete cross-section;
`d'`- is the distance from the external compressive concrete to the centre of gravity of the compression steel;
`M`_{ser}- is the design bending moment under the characteristic combination of loads;
- •
- Optimize
`A`: reducing_{s}`A`by calculating_{s}`A`if needed._{sc}

This application calculates
the reinforcements `A _{s}`,

`A`from your inputs. Intermediate results will also be given.

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