I am trying to find warping function $\mathcal{T}$ for a thin-walled multi-cellular beam. There are four rectangular cells. The governing differential equation for $\mathcal{T}$ is Eq. 8.98 as shown in attached figure. But I don't know the boundary condition. enter image description here

  • $\begingroup$ In practice, the fact that you don't know the boundary condition makes these warping function corrections fairly useless, because it is a situation where St Venant's Principle does not apply. IMO, if you need to include this level of detail in a structural analysis, you shouldn't be using beam elements anyway. $\endgroup$
    – alephzero
    Apr 8 '19 at 9:49
  • 2
    $\begingroup$ … and this is a good example of the engineering principle "design structures that you can analyse easily" If a design only functions correctly because of the exact amount multi-cell beam warping, there is something seriously wrong at the conceptual level, IMO. $\endgroup$
    – alephzero
    Apr 8 '19 at 9:53

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