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How to design Reinforced Blast Doors

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I am currently working on designing a blast resistant door per TM5-1300 (Now UFC 3_340_02) Manual. The parameters (Blast door is double leaf 187.5 X 196 in, each leaf supported on two sides)are such that using a 2" thick steel plate results in support rotation angle of 3 degree. Now, customer spec requires the limit on rotation to be 2 degrees. We do not want to increase the plate thickness to more than 2", so, I was thinking of using stiffners to reduce the angle of rotation, but the problem is, I don't know how to analyze a blast door with stiffeners.

I am comfortable using TM5-1300 for a monolithic plate but unsure how to analyze a stiffened structure. Can someone help me in locating a reference example from which I can learn the analysis method for stiffened door ?