ABSTRACT

Nc,0 = ∫ Ac

σc,0 dA= ∫ Ac

Ec,0(εr,0 + yκ0)dA=AcEc,0εr,0 +BcEc,0κ0 (5.7a)

( As(i)Es(i)

)( εr,0 + ys(i)κ0

)= ms∑ i=1

( As(i)Es(i)

) εr,0 +

( ys(i)As(i)Es(i)

) κ0

(5.7b)

( Ap(i)Ep(i)

) εr,0 +

( yp(i)Ap(i)Ep(i)

) κ0 +

( Ap(i)Ep(i)εp(i),init

) (5.7c)

where the additional subscripts ‘0’ used for the strain at the level of the reference axis (εr,0) and the curvature (κ0) highlight that these are calculated at time τ0 after the application of Ne,0 and Me,0 and after the transfer of prestress.