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Ultimate moment of resistance of a T-section in bending at the ULS, MRd

Eurocode 2 - Design of concrete sections  Method b5

The ultimate moment of resistance of a T-section in bending at the ULS are calculated according to method b5.

The parameters needed for the design are the followings:

Steel class: see Table C.1. The characteristic strain εuk and the ductility property k will be taken equal to their minimum values in the table;
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 ultimate limit state, see § 2.4.2.4 (1);
Steel diagram: is the design stress-strain diagram for reinforcing steel, from which the design strain limit εud and the stress in the steel will be defined. See § 3.2.7 (2) and application stress-strain for reinforcing steel;
Coef.(εud/εuk): is chosen by National Annex, see § 3.2.7 (2);
Concrete class: see Table 3.1;
fcd
is the design compressive strength of concrete, see application;
bw
is the web width of the T-section;
beff
is the flange width of the T-section;
hf
is the flange height of the T-section;
d
is the effective depth of the T-section;
As
is the cross sectional area of the tensile reinforcement;
Asc
is the cross sectional area of the compression reinforcement.

This application calculates the ultimate moment of resistance MRd from your inputs. Intermediate results will also be given.

Input
GPa
MPa
MPa
cm
cm
cm
cm
cm
cm2
cm2
Output
fyd
MPa
εse
%
k
εuk
%
εud
%
εcu3
%
αAB
fck
MPa
λ
η
αu
x
cm
Pivot
σs
MPa
σsc
MPa

the ultimate moment of resistance MRd
kNm