# Stresses of a T-section in bending at the SLS, `σ`_{c} and `σ`_{s}

_{c}

_{s}

## Eurocode 2 - Design of concrete sections Method b12

The compressive stress in the concrete `σ _{c}` and tensile stress in the reinforcement

`σ`of a T-section in bending at the SLS are calculated according to method b12.

_{s}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);
`E`_{c,eff}- is the effective modulus of elasticity of concrete;
`f`_{ct,eff}- is the mean value of the tensile strength of the concrete effective at the time when the cracks may first be expected to occur:

`f`=_{ct,eff}`f`or lower, (_{ctm}`f`(_{ctm}`t`)), if cracking is expected earlier than 28 days; `A`_{sc}- is the cross sectional area of the compression reinforcement;
`A`_{s}- is the cross sectional area of the tensile reinforcement;
`b`_{w}- is the web width of the T-section;
`b`_{eff}- is the flange width of the T-section;
`h`_{f}- is the flange height of the T-section;
`h`- is the height of the T-section;
`d`- is the effective depth of the T-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 at the serviceability limit state.

`M`is generated by the characteristic combination of loads in case of stress limitation verification (see § 7.2 (2) and § 7.2 (5))._{ser}

`M`is generated by the quasi-permanent combination of loads in case of crack width calculation._{ser}

This application calculates
the stresses `σ _{c}`,

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

_{s}