Torsional moment of inertia thin-walled tubes

Torsional moment of inertia thin-walled tubes#

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Fig. 34 Figure 6.29 Hartsuijker and Welleman (2007)#

\[I_t = \cfrac{{4A_m^2}}{{\oint {\cfrac{1}{t}{{d}}m} }}\]

For a thin-walled strip this reduces to:

\[I_t = \cfrac{1}{3}ht^3\]

For thin-walled open cross-section this leads to:

\[I_t = \sum_i\cfrac{1}{3}h_it_i^3\]

This is treated in chapter 6.3.1 and 6.3.2 of the book Engineering Mechanics Volume 2 (Hartsuijker and Welleman, 2007).