The total self-weight of the structure(DL) will be the same after reducing moment of inertia of structural elements(columns,rc beams ,slabs etc.).
As its reduces stiffness, so does the moment attracting ability. Some of the moment which was present at this section (for example at beams ) goes to other areas which are not yet cracked ( for example columns ).
This reshuffling of the stiffness in the whole structure leads to redistribution of moments. Which means some of the loads were transferred but not lost.
Generally, the purpose of reducing stiffness of concrete sections is to model for cracked behavior of concrete.
They are "only" applied to concrete members because it cracks under loading.
Those regions which were "un-cracked" and received extra moments from cracked regions will also crack once the concrete in that region reaches its tensile capacity limit.
So this cycle of moment redistribution continues until all the members have been cracked. Steel reinforcement which sits idle before this stage now starts taking these redistributed moments.
Hope this helps.