Please make B the subject matter

Jan 2020
3
0
United Kingdom
Hi
I am stuck with re-arranging the formula to make B the subject matter. Any help is appreciated.

Ix.jpg
 

ChipB

MHF Helper
Jun 2014
312
130
NJ
Please double check the equation you posted. I'm guessing that this is a formula you have derived from an engineering mechanics problem, that B and L are in units of length (i.e., cm), and E is Young's modulus (N/cm^2). But what is 'w'? I would thought it means either width (in cm), or perhaps force per unit length (N/cm), but in either case the units for 'f' would be a bit strange. Just wanting to make sure that are working on the correct equation.
 
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Jun 2013
1,134
605
Lebanon
Hi
I am stuck with re-arranging the formula to make B the subject matter. Any help is appreciated.

View attachment 39698
this involves solving a fifth degree polynomial equation in B.
in general, this is an impossible task

why do you need to make B the subject matter?
 
Jan 2020
3
0
United Kingdom
The formula calculates the I-value for a beam within a window or door required to withstand w (windloading in Pa). f is the max deflection allowed, E- is the young modulus of the material used, L is the beam length and B is the load width.
Ix (2).JPG
Ix (3).JPG

Hope this makes sense?
 

ChipB

MHF Helper
Jun 2014
312
130
NJ
OK, now I understand the equation a bit better. I can't vouch for its correctness, but at the least the units are consistent.

I see no way to make B the subject of the equation. However, since this is for an engineering class you should be able to use an approximation technique to calculate a value for B given values for I, w, L, E and f. You can use a technique such as Newton's method to iterate to an answer for B to whatever accuracy desired. Are you familiar with this technique? If not, see Calculus I - Newton's Method and post back with any further questions.
 
Jan 2020
3
0
United Kingdom
Thanks for your reply, but I think this is way over my head. I think I need to find another way.
 

ChipB

MHF Helper
Jun 2014
312
130
NJ
If you have been given values to use for I, w, L, E and f, and are trying to determine what the value of B should be that yields the correct value of I in your equation, one way to get a rough estimate for B is to plot a graph of I as a function of B. Then estimate what the value of B must be that yields the appropriate value of I. That should get you started on estimating B. Then you can iterate using values for B that deviate slightly from this first estimate to get more accuracy.
 
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