Introduction to Elasticity/Torsion of thin walled open sections
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Torsion of thin-walled Open Sections[edit]
Examples are I-beams, channel sections and turbine blades.
We assume that the length
is much larger than the thickness
, and that
does not vary rapidly with change along the length axis
.
Using the membrane analogy, we can neglect the curvature of the membrane in the
direction, and the Poisson equation reduces to
which has the solution
where
is the coordinate along the thickness direction.
The stress field is
Thus, the maximum shear stress is



