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In the present paper the way of determination of elastic parameters of the bodyweakened by elliptical voids is presented. Starting from arbitrary placed single elliptical void inplane sheet, decrease of Young's modulus and Poisson's ratio is obtained. After that, usingstatistical distribution of voids, the decrease of overall elastic constants is found. In thisprocedure there are two ways, Taylor and Self-consistent model. In the first method interactionof defects is ignored, while in the second, so-called weak interaction is incorporated. Bothmethods are applied for small concentration of defects. In the paper it is shown that cracks andcircles are special cases of the model derived in this study. Such obtained model is applied fordetermination of stiffness of steel members of the truss of bridge destroyed during lust war byshrapnel of bombshells. Such calculated stiffness is input for static and dynamic analysis ofbridges using FEM. This approach is applied for analysis of The Pivnica Bridge, across TheIbar River, on the railway track Belgrade-Thessaloniki, destroyed during lust war. It is shownthat with increasing a damage of members of the bridge the time period of free vibrations isincreasing to, while natural frequency is decreasing.