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Plate Bending Problem

zliu

Aerospace
Apr 24, 2025
1
Hello everyone,

I was wondering if I could analyze a door (hinge and latch) under load with classical hand analysis.

Boundary Condition: The door is hinged on one side, allowing rotation, while the latch will only react in the vertical direction (Ty).
Loading: Assume there will be 3 different loads at b/2, and various location along length l.

Goal: Determine where to place the latch to minimize the deflection in the y-deflection of the door.
1745521894400.png

I checked Roark's formula, but none of the boundary conditions match what I have here. Since the latch is assumed to be simply supported at a single location, and all the classical hand calculations assumed the entire edge is simply supported.

I will be modeling this in FEM, but I was wondering if it's possible to analyze this situation through hand analysis.

Any help is appreciated. Thank you!
 

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