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## Homework Statement

As in the attachment; cantilever beam with two UDLs and a point load of 1000N/m, 1000N, and 500N/m respectively. First UDL acts over the first 1m, point load at 1m, and the next udl over the next meter - so the total beam length is 2m. Max tip deflection is 2mm, what is the minimum bending stiffness (EI) required.

## Homework Equations

Bernoulli-Euler Bending Theory

## The Attempt at a Solution

EIv'' = (1000*1*0.5) + 1000*1 + (500*1*1.5)

EIv'' = 2250

EIv' = 2250x + A

EIv = 1125x^2 + Ax + B

Boundary Conditions v(0)=v'(0)=0

A=0 B=0

v(2m)=2mm

EI = 22.5 E5

Answer is 98.95E4

I'm guessing my mistake is in either the boundary conditions or the actual initial creating of the EIv'' equation.

Any help would be hugely appreciated!

Cheers, Ben