Assuming that the plate is square and loaded with udl one can use the formula from theory of plates and shells by timoshenko case 49 to calculate deflection.
Deflection of sheet metal.
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Crowning is controlled on modern brakes with internal hydraulic systems which can help equalize pressure.
The standard types of material for metal parts are.
Material next you will want to determine from what material your sheet metal bracket will be made.
There is a very complicated formula that determines the deflection of the bracket under load.
You can find comprehensive tables in references such as gere lindeburg and shigley however the tables below cover most of the common cases.
This can be treated as plate bending problem.
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Cross break light bends added to sheet metal in order to stiffen its surface.
Crowning the deflection along a bend due to the tooling or brake not being able to apply equal tonnage along the bend.
You only have to insert interior angle flange lengths k factor inside radius and material thickness.
The tables below give equations for the deflection slope shear and moment along straight beams for different end conditions and loadings.
Cells on the right will output the desired values.
W 0 0249 q a 4 d.