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# Tensile reinforcement of a rectangular section in bending at the SLS with known compression reinforcement, As

## 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 b10

The tensile reinforcement of a rectangular section in bending at the SLS by stress limitation, with known compression reinforcement, are calculated according to method b10.

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);
fyk
is the yield strength of the reinforcing steel, see § 3.2.2 (3)P;
γs
is the partial factor for reinforcing steel at the serviceability limit state, see § 2.4.2.4 (2);
k3
is a Nationally Determined Parameter, see § 7.2 (5);
Concrete class: see Table 3.1;
Ec,eff
is the effective modulus of elasticity of concrete;
k1
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;
Asc
is the cross sectional area of the compression reinforcement;
Mser
is the design bending moment under the characteristic combination of loads;

The calculated reinforcement should be compared to the minimum and maximum reinforcement requirements for members (slabs, beams, foundations...). Such verification is outside scope of this application.

This application calculates the tensile reinforcement As from your inputs. Intermediate results will also be given.

Input
GPa
MPa
GPa
cm
cm
cm
kNm
cm2

Output
fyd
MPa
ne
fck
MPa
σc,ser
MPa
σs,ser
MPa
αAB
αser
x
cm
Pivot
σsc
MPa
σs
MPa

the tensile reinforcement As
cm2