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# Stresses of a rectangular section in bending at the SLS, σc and σs

## Eurocode 2 - Design of concrete sections \$(document).ready(function () { \$("#mainMenu li#nav-appCate, #mainMenu li#nav-appEC2ds").addClass("active"); var freeExample = \$("#freeExample").length; var proUser = false === true || false === true || freeExample !== 0; if (!proUser) { \$('#Input input').keyup(function(){ \$('#AlertSubscribe').modal(); }); \$('#Input select').change(function(){ \$('#AlertSubscribe').modal(); }); }; var tempInput = \$("#tempInput").text(); if (tempInput != "") { \$("#Input").parent("form").deserialize(tempInput); if (proUser) { \$("#acceptBtn").trigger("click"); } }; });  Method b8

The compressive stress in the concrete σc and tensile stress in the reinforcement σs of a rectangular section in bending at the SLS are calculated according to method b8.

The parameters needed for the design are the followings:

Es
is the design value of the modulus of elasticity of the reinforcing steel, see § 3.2.7 (4);
Ec,eff
is the effective modulus of elasticity of concrete;
fct,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:
fct,eff = fctm or lower, (fctm(t)), if cracking is expected earlier than 28 days;
Asc
is the cross sectional area of the compression reinforcement;
As
is the cross sectional area of the tensile reinforcement;
b
is the width of the concrete cross-section;
h
is the height 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;
Mser
is the design bending moment at the serviceability limit state.
Mser is generated by the characteristic combination of loads in case of stress limitation verification (see § 7.2 (2) and § 7.2 (5)).
Mser is generated by the quasi-permanent combination of loads in case of crack width calculation.

This application calculates the stresses σc, σs from your inputs. Intermediate results will also be given.

Input
GPa
GPa
MPa
cm2
cm2
cm
cm
cm
cm
kNm

Output
ne
Mct,ser
kNm
Cracked section
x
cm
Ac,eq
cm2
Ic,eq
10-3⋅m4
σsc
MPa

Compressive stress in the concrete σc
MPa
Tensile stress in the reinforcement σs
MPa