Question
Using a yield line analysis compute the minimum uniform load- w in terms of the given moment capacity per unit width of the section (positive moment, equal in both directions) m = mx-my. The dimensions are as shown, all edges are hinge (and not fixed). There is no need to consider any load or strength factor. Consider the yield line patte as shown in the figure (horizontal line passes through the center) and pick up a parameter with respect to which you will minimize "w" in terms of the given information. Note that your answer will be the value to the w in terms of L and m. mxmy 4 Edges hinged 2L
Explanation / Answer
Considering mx = my
Now mx =w×2l
my =w×l
Therefore my/mx = 1/2
Hence, wy =1/2wx