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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There is a very complicated formula that determines the deflection of the bracket under load.
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The thickness is not more than about onequarterof the least transverse dimension and the maximum deflection is not more than about one half the thickness.
To review a resource related to bracket deflection visit our bracket beam deflection paper.
Material next you will want to determine from what material your sheet metal bracket will be made.
The standard types of material for metal parts are.
Cells on the right will output the desired values.
You can find comprehensive tables in references such as gere lindeburg and shigley however the tables below cover most of the common cases.
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Cross break light bends added to sheet metal in order to stiffen its surface.
Crowning is controlled on modern brakes with internal hydraulic systems which can help equalize pressure.
This can be treated as plate bending problem.
The tables below give equations for the deflection slope shear and moment along straight beams for different end conditions and loadings.