Analyses of beam under semi-ellipse load

[TikkaMasala]

Hi

I'm trying to analyse a beam under semi-ellipse load. 

In the analyses I try to form shear load, bending moment, slope and deflection functions with integration

of load function.

If I use symbolic solution method the resulting functions become too complex.

Could someone help me by making an example of determination of the shear load function?

I hope that with one example, I would be able to solve the rest...

Thanks in advance.

[TikkaMasala]

Here are the files:

[Fred_Kohlhepp]

Calculation in Prime 4.0 attached.

Integration for deflection will take a LONNNG time!

[terryhendicott]

Hi,

Prime 9 enclosed.

[Fred_Kohlhepp · Accepted solution]

Same file, but speed improved by developing a polynomial fit to slope data to improve calculation speed.

[TikkaMasala]

Hi Fred

Thanks a lot for the practical and comprehensive solution!