Hello,
Sorry for my late response, I was busy my other homework, this assignment I have to hand in a few weeks.
This is a task that I have to make for mathematics (homework)
I use google translate, I'm from Holland.
I understand what you write above.
First let me mention some:
The first question was: lead a formula for the dimension b (x) at a distance x from the left bearing.
Given:
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.
To help us showed our teacher this task 1, but he said clearly at; this should yourself be able to prove.
The following formula is derived by our teacher; b(x) = b(l) + ((l-x)/l)* (b(0)-b(l))
I think the formula is valid for a distance from the right bearing. Therefore he said clearly defined ; this should yourself be able to prove.
I would say that the function of the left bearing: b(x) = (b(l)-b(0)/l)*x + b(0)
What do you think of this ?
Okay now returning to the moment of resistance W (x)
The function of the moment of resistance must also apply to the cross-section b (x) at a distance x from the left bearing.
Can we then the formula for the resistance moment substitute in the function b (x)?