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secondly, the stress and strain field of an edge beam in the continuous beam approximation is defined by equation 6 [ 15 ]. here, the global effective width of the concrete (, b  eff ) is the same as the continuous beam case, for all spans of the bridge, by considering the lower concentrated load of all concrete blocks. the global effective width of concrete block is given by equation 7.


after the nonlinear analysis of the steel-concrete bridge, the results of the previous study are applied to the concrete bridge deck. the normal stresses are calculated at the center of the span of each of the 16 spans (each of the 16 spans includes 4 spans on each side of the middle support). a variation of a variable has the same result as the constant of the variable. for example, a variation of the coefficient of friction in the linear analysis means that the coefficient of friction is changed to a constant in the nonlinear analysis. the result of the linear analysis with a constant coefficient of friction is applied to the nonlinear analysis by setting the coefficient of friction to that value. as a result, the increase in the ultimate load of the bridge by the nonlinear analysis is only 2.


the deck is modeled with grid lines. a generic prism element is defined using the designer and the reinforcement and the deck are defined using a generic frame. the concrete and deck slab thicknesses are identical to those of the previous model. the model is shown in fig.8.


the initial load for the uncracked model is 1,050 kn in the tension direction. the biaxial coupon was placed at the bottom of the beam as a representative of the bottom support. the section area was set to 1,066.5 mm2. 84d34552a1