Student Number:

$-$xestion $2$: $(6$ points$)$

Suppose we have a non$-$uniform beam that is $5m$ long, with a flexural rigidity given by the function

$EI(x)=\frac{2,200,000}{(x+34)}N{m}^2$

Further suppose that the beam is a cantilever beam $($with a fixed support on the left, and unsupported on the right$).$

Calculate the deflection function in millimetres for the beam if the beam is under a uniform distributed load of $440\frac{N}{m}.$

Additionally: What is the maximum and minimum flexural rigidity for this beam?

Hint: the specific boundary conditions for non$-$uniform cantilever beams $($see the Formula sheet$)$ should be easier to use than the ones you're used to$.$