**Annex**

The parametric cross sections of the box girder deck and algorithms to obtain the (x, z) coordinates of each vertices.

The geometric parameters set is {*Be, be, h, ve1, ve2, ve3, ve4, ve5, he1, he2, he3, he4*}. The coordi‐ nates *x* and *z* of each vertices of the box girder cross section are obtained using the following algorithms.

