User:Eml4500.f08.delta 6.krueger/HW Ni(x)

The formula for the above diagram is: $$N_{i}(x)={x-x_{i+1}\over x_{i}-x_{i+1}}$$ Wasn't sure if we were supposed to find an actual value for N(x). So, below are the values for N(x). The total length of the bar is $$L^{(i)}$$ and at the origin x is equal to zero. To find $$N_{i}(x)$$ the following formula is used: $$N_{i}(x)=1-{x\over L^{(i)}}$$ Now let x=0 and x=$$L^{(i)}$$ and it can be seen that when: x=0 $$\Rightarrow$$ $$N_{i}=1$$ and when x=$$L^{(i)}$$ $$\Rightarrow$$ $$N_{i}=0$$