How Do You Solve for I in a Series of Beam Deflection Equations?

[mattaddis]

Hello there,

I need some help rearranging a combination of equations and was wondering if someone could help? I am attempting to find the sum of the deflection in a beam, but to do so for the boundary conditions require a total of four formulas in series.

I need to solve the attached equation for I, which is common throughout.

I hope someone can help.

Thanks in advance.

Matt

 

[CompuChip]

Maybe I'm missing something obvious, but the only place I see $I$ is in the denominator of each summand.
So can't you just factor it out?
$$\sum \delta = \frac{1}{24 E I} \left\{ \vphantom{\frac{W_1}{E I}} \cdots \right\}$$

 

[mattaddis]

CompuChip,

Thanks for that. I feel a bit thick now. It worked and I got the desired solution.

Matt

 

[CompuChip]

No problem, we all make those mistakes.
I was just afraid that you were going to say "Oh, I forgot to mention that the I_1,2,3 are the components of I", or "W depends on I" or something nasty like that :)

 

[CellCoree]

Hi Matt,

It would be helpful if you could provide the specific equations and boundary conditions you are working with. Without that information, it is difficult to provide a specific solution. However, in general, to solve for I in a series of equations, you can use substitution or elimination methods. If you are still having trouble, I suggest seeking help from a tutor or consulting a textbook on solving systems of equations. Good luck!

Best,