User:Eas4200c.f08.blue.a/Lecture 36

3) Back to superposition

$$q_{ij}=q+\tilde{q_{ij}}$$

M. Multicell
First, consider a case without stringers



For n cells we have:

$$R^{\bar{z}}+\sum_{i=1}^{n cells}{R^{\bar{z}}_{i}}$$

and

$$R^{\bar{z}}=0$$

The probelm can be broken down using superposition. the first part of the problem consists of computing the shear flow of the web. The second problem consists of computing the shear in the stringers. The cuts to the walls have been made in read int eh figure below.



The shear flow across all of the cut sections can be assumed to be zero. Once the solutions to the two parts of the problem have been solved, they can simply be added together like so:

$$R^{\bar{z}}=R^{z_{1}}+R^{z_{2}}$$

Note that $$R^{z_{1}}=0$$

and thus,

$$R^{\bar{z}}=R^{z_{2}}=V_{z}$$