## A cantilever beam subjected to the uniform pressure load

## A cantilever beam subjected to the uniform pressure load

(OP)

Hello everyone,

I am trying to calculate the max deflection u2 of a cantilever beam. The cross-section is circle whose radius (r) is 0.01m and length (l)is 1m.One end is fixed and one end is free. This beam is subjected to a pressure on its upper circumferential surface with 10000Pa. In order to verify this model, I calculate the deformation in this way:

p*2r*(l^4)/8/E/I

E is 210*10^9Pa, I=pi*(2r)^4/64

The hand calculation of deformation at the free end is 1.516mm. However, the numerical result is 1.627(for C3D8I) and 1.704 (for C3D8R).

What's the reason for this discrepancy?

Yuchi

I am trying to calculate the max deflection u2 of a cantilever beam. The cross-section is circle whose radius (r) is 0.01m and length (l)is 1m.One end is fixed and one end is free. This beam is subjected to a pressure on its upper circumferential surface with 10000Pa. In order to verify this model, I calculate the deformation in this way:

p*2r*(l^4)/8/E/I

E is 210*10^9Pa, I=pi*(2r)^4/64

The hand calculation of deformation at the free end is 1.516mm. However, the numerical result is 1.627(for C3D8I) and 1.704 (for C3D8R).

What's the reason for this discrepancy?

Yuchi

## RE: A cantilever beam subjected to the uniform pressure load

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## RE: A cantilever beam subjected to the uniform pressure load

Total element is 5200. The globe size is set as 0.005.

## RE: A cantilever beam subjected to the uniform pressure load

More importantly, on the analytical side, you have a long and thin beam under stress. I have not done any hand calculations but I wonder if the theoretical assumptions are even valid.

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## RE: A cantilever beam subjected to the uniform pressure load