I understood SM is moment per unit width. But i dont know how to get integrated moment at mid span.
Then I tried to use free body cut to show mid span moment. (SI unit:force=N, length=mm)
However, I found that the moment I get for 500(D)x100(W) and 500(D)x400(W) are the same (e.g both 6.1e8) from free body cut, if that moment multiply flange width, total moment will be different in section 500x100 and 500x400 but their length and load are the same.
So I just wonder if moment from free body cut(blue arrow) is already represent total moment at mid span?
Thanks
I guess the bounday conditions and loading you're applying make the problem STATICALLY DETERMINATE. If so, then your section moment at any cut along length are going to be the same as they do not depend on section properties; rather purely statics of the problem (sophomore year coursework - statics ) :)
if this is not the case, then you have to explain what you're trying to solve. problem parameters and details (loading, bc, materials, etc.)
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