Derivation formula for b(x)

Westerwolde

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Joined
Mar 22, 2017
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2
Hello,


A non prismatic figure / beam I need to derive a formula for b (x).
See the picture in the link below:

https://myalbum.com/album/Qs5BcjTUrEdt

The beam has a varying cross-section.

It is given that the dimensions at the end of the beam is determined by the relationship:
b (l) = αb (0), with α less than or equal to 1.

asked:
lead a formula for the dimension b (x) at a distance x from the left bearing.



My book gives answers:

b(x) = b(l) + ((l-x)/l)* (b(0)-b(l))


I self must step by step show the derivation of the function.
How do I do that ?
 
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