“Computational Civil Engineering - "Intersections" International Journal

“Computational Civil Engineering 2005”, International Symposium 115pbeing: σ ,σ c ( d ), σ s ( ε ) , the stresses in the composite material, in the damagedconcrete and in the plastic steel, respectively. C 0) and ( C are, respectively,(c 0)sthe initial constitutive tensors in the concrete and steelwhile k c = Ac( d) /[ Ac( d)+ A s] and k s = A s /[ Ac ( d)+ A s] are the relative areascorresponding to each material of the cross section of the pier. The characteristicsof the used materials are given in Table 1.Table1. Properties of the materials compounding the reinforced concrete.MechanicalpropertiesSteelConcreteYoung’smodulusCompression strength atthe elasticlimitMaximumcompression strengthTensionstrength atthe elasticlimitMaximumtensionstrengthFractureenergyE s = 200, 00GPaE c = 33, 50GPa−f sy = 545, 00MPa−f su = 600, 00MPa+f sy = 545, 00MPa+f su = 600, 00MPa−f cy = 20, 00MPa−f cu = 43, 00MPa+f cy = 3, 10MPa+f cy = 3, 10MPa( G ) = 12.000,00MNm ( G ) = 1,20MNmf s/f s/The initial values at the clamped cross section, corresponding to the initial, nondamaged state, are the following:2( A ) = 0,6579m, ( A )c( E) = ( k ) ( E ) + ( k )00+++( f y) = ( k ) ( ) ( ) ( )0 c 0fcy+ k0 s 0f sy−−−( f ) = ( k ) ( f ) + ( k ) ( f )y0cc00ccy00sss00E0= 76,77×10s= 35,418MPasy00−4m2⎧⇒ ⎨⎩= 9,984 MPa ⎪⎫⎬ n= 49,421MPa⎪⎭( kc)( k )rs=00= 0,9884= 0,011533−( f y)+( f )y00= 4,95(20)