@Rana
sir moment coefficients are not 1/12 and 1/24 here .
@haroon ,
moments in the continous beam need to be caculated by coefficient method and where you are taking them wl^2/8 that is incorrect.for beam use Nilson pg#396,for shorter beams fig(a) use column option as support i.e 1/16,1/14/,1/10and for 2span longer beams fig ( also the column option 1/16,1/14.in case of yours only one beam fixed at both ends use the fig d coefficients look at the BMD of the d option you will get my point.
@rana
sir when slab is 10x20 then it can be considered one way or two way ,etabs take it two way and distributes the loads in that way on both side beams by yield line theory method of distributing loads at 45 degrees.you said that the loads on both shorter and longer span both be same 625lbs so that would not be possible.
@haroon
PLATE beahaves like a beam it resist by bending only no horizontal stresses are distributed,they can bend in two direction i.e up and down and twist.
MEMBRANE take only horizontal stresses and can not bend.this is known as membrane action also
SHELL have both the charactersistics of membrane and plate.
this is the simplest difference among the three.the idea is hard to aplly in practical.