How does Midas Civil calculate stress for Composite Section?

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Answer: 

PFA the screenshots showing the BeamStresses for Part 1 - Girder and Part 2- Slab for "ST: Selfweight of girders".
Also, see the attached deformation animation for Composite Girders. It can be observed that composite action is reflected in the analysis.

For Calculations for stresses for composite Sections see below link
Help manual: http://manual.midasuser.com/EN_Common/Civil/851/index.htm
Goto Loads > Construction Stage loads > Composite Section for Construction Stage