In the present paper a new numerical method, which allows for the exac
t consideration of the nonlinearities introduced in the analysis of co
mposite beams of steel and concrete is presented. Experimental data sh
ow a nonmonotone behaviour for the load-deformation curve of the shear
connectors which join the steel and the concrete. The great influence
of the softening branch is demonstrated through the analysis of a sle
nder beam spanning 30.0 m. This analysis shows that the consideration
of a simple monotone diagram may lead to dangerous conclusions regardi
ng the safety of the beam at serviceability state.