- #1
damo03
- 7
- 0
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
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 relevant 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.
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 relevant 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.