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Chord Shortening of a plate when subjected to pressure 1

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GoncaloPT

Structural
Joined
Jun 9, 2020
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PT
Hello!

I'm having some troubles, and I really don't know if i'm over complicating. Hopefully some of you will be able to help me.
I'm currently trying to prepare some hand formulas to put on my excel sheet to evaluate the chord shortening of a glass panel when subjected to wind pressure.
I'm able to find the deflection (δ on the scheme bellow) on the pane and I would like to backward evaluate the Δh (vertical displacement) in order to ensure the glass ply doesn't slip out of the framework.

image_kp3kkh.png


Vertical Displacement on a FEA
image_ezk6gb.png

Horizontal Displacement on a FEA

image_z38c67.png
 
With the 16 element, 8 node plate model, fixing top and bottom nodes in the Z direction, and increasing the plate width to 1.0 m and with E=70 GPa, PR = 0.21, I get maximum deflections of:
dx = 124.4 mm
dy = -15.4 mm

which is pretty close to the OP analysis.

Doug Jenkins
Interactive Design Services
 
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