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

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Discussion Overview

The discussion centers on calculating the effective deflection of a fixed rectangular plate due to its self-weight, specifically addressing the contributions from both longitudinal and transverse deflections. The context involves material properties and potential inaccuracies in deflection calculations.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant inquires about calculating the effective deflection at the center of a fixed plate with specific dimensions and material properties.
  • Another participant suggests that the deflection will likely be minimal and recommends searching for standard analytic solutions for rectangular plate deflection.
  • Concerns are raised regarding the accuracy of deflection calculations when using lightweight materials, with a note that while the order of magnitude may be acceptable, exact figures should not be relied upon.
  • A participant mentions calculating longitudinal and transverse deflections, providing specific values for each and expressing interest in understanding the combined effect of these deflections.
  • There is a brief mention of the material being used (POM) and its implications for deflection calculations.
  • Participants express appreciation for the assistance provided and confirm the small magnitude of deflection in millimeters.

Areas of Agreement / Disagreement

Participants generally agree that the deflection is small, but there is no consensus on the accuracy of the calculated values or the best method for determining the combined effect of longitudinal and transverse deflections.

Contextual Notes

Participants acknowledge potential inaccuracies in deflection calculations due to the lightweight nature of the material used, and there are unresolved aspects regarding the combination of deflections.

Arjun menon
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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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