Hi. I have been doing some FEA modelling with solid works and am trying to calculate my deflection for a point load at the centre of a clamped periphery (not simply supported) circular thin plate. I need to calculate the theoretical values to make sure that my FEA is correct(adsbygoogle = window.adsbygoogle || []).push({});

The formula I have found is this :

w=(-W/16pieD)*(a^2-r^2*(1+2*ln(a/r)))

for r not = to 0

w= deflection

W= load in N

a= fixed max radius (m)

r = variable radius (m)

D=flexual rigidity = Eh^3/(1-v^2)

E=Young's modulus (Pa)

h=plate thickness (m)

v=poissons ratio

When I plug my relevent data into the formula I get stuck because i am using a point load at the centre....therefore my r=0...I cannot find the formula for when the load is at the centre. Can anyone please help?

I have been having no trouble doing this with a distruited load (pressure) but it's the point load that I have been having trouble with.

Thanks in advance.

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# Thin plate deflection formula

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