f u c k y o u {\displaystyle {\frac {fuck}{you}}}
I s t u k = I t o t d x b {\displaystyle I_{stuk}=I_{tot}{\frac {dx}{b}}}
F s t u k = B I s t u k h = B I t o t d x b h {\displaystyle F_{stuk}=BI_{stuk}h=BI_{tot}{\frac {dx}{b}}h}
F t o t = ∫ 0 b F s t u k = ∫ 0 b B I t o t d x b h = [ B I t o t 1 b h x ] 0 b = B I t o t 1 b h b {\displaystyle F_{tot}=\int \limits _{0}^{b}F_{stuk}=\int \limits _{0}^{b}BI_{tot}{\frac {dx}{b}}h=\left[BI_{tot}{\frac {1}{b}}h\ x\right]_{0}^{b}=BI_{tot}{\frac {1}{b}}h\ b}
Beide b's wegstrepen geeft:
F t o t = B I t o t h {\displaystyle F_{tot}=BI_{tot}h\,\!}
![{\displaystyle F_{tot}=\int \limits _{0}^{b}F_{stuk}=\int \limits _{0}^{b}BI_{tot}{\frac {dx}{b}}h=\left[BI_{tot}{\frac {1}{b}}h\ x\right]_{0}^{b}=BI_{tot}{\frac {1}{b}}h\ b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3572d4e2998eaf89329025880d88a86f5c9c9c51)
