How to Calculate Effective Deflection of a Fixed Plate Due to Self-Weight?

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To calculate the effective deflection of a fixed plate due to self-weight, consider both longitudinal and transverse deflections. For a plate measuring 600mm x 92mm x 2mm made of POM with a density of 1170kg/m3 and a modulus of elasticity of 2.5GPa, the longitudinal deflection is approximately 10mm, while the transverse deflection is around 0.005mm. The combined effect of these deflections is crucial for accurate assessment, though the order of magnitude may suffice for practical purposes. It is noted that the calculated deflection values may not be entirely accurate due to the material properties. Overall, the deflection is expected to be small, and adjustments to the model can be made for different load cases.
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I have a plate of 600mmX92mmx2mm. All the four sides are fixed.How can I calculate the effective deflection at the center due to self weight considering the deflection in longitudinal and transverse direction?
Density of material 1170kg/m3
Modulus of elasticity 2.5GPa
 
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Engineers quick solution - deflection will probably be very little .

Otherwise just search on ' deflection of a rectangular plate ' to find the standard analytic solution .

Come back if you have any problems .
 
That combination of material properties suggests that you are using some lightweight material such as plastic sheet .

If you are then be aware that your calculated value for deflection may not be very accurate . Order of magnitude will probably be ok but don't rely on the exact figure .
 
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Nidum said:
That combination of material properties suggests that you are using some lightweight material such as plastic sheet .

If you are then be aware that your calculated value for deflection may not be very accurate . Order of magnitude will probably be ok but don't rely on the exact figure .
Thank you Nidium... Yea I am using some kind of POM. Just like a diffuser...If I calculate the deflection 2 dimensional then the longitudinal deflection comes around 10mm and in transverse direction its around .005mm. But in actual condition the sum effect of longitudinal and transverse deflection determines the scenario and I just wanted to know how to calculate the same. May be the order of magnitude will be enough.
 
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PF Plastic plate v1.png
 
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ABS . Gravity load only .
 
Nidum said:
View attachment 103098
Thats awesome!Thank you so much for the help. I believe the magnitude is in mm...
 
Yes mm . So deflection is very small .

Very easy to alter the model if you want to try another load case .
 
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Nidum said:
Yes mm . So deflection is very small .

Very easy to alter the model if you want to try another load case .
Thank you so much Nidum...Your help is much appreciated... :smile::smile::smile:
 

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