
Something mysterious happens when you apply a pure moment (twisting or torsion) to a long beam in finite element software such as ProE Mechanica. The end nodes appear to fly outward as if there is a radial force!
This effect is an artifact of the
small displacement theory used to calculate the deformation. With torsion, each node must move tangentially (in a circle) as the end twists. In Cartesian (3-axis) space, this movement vector (direction) is broken down into 2 directions (because a circle lies in a plane), so this increases the error.
The calculation for each node has vector components in each direction. These calculations have a small error incurred because the theory is not the real world. As the nodes move around the circle, they also diverge outward. This effect is exagerated because the results are automatically scaled (usually) to make the deformation visible.
In this case, the appearance is false. The apparent radial motion can be safely ignored - although this does not excuse the analyst from checking the results using analytic or experimental methods. The cardinal rule of engineering applies to FEA:
Never assume the pretty picture is right!
(There is no apparent literature in the software manual or online that explains this effect - thanks to the forum users at
PTC Users for the clear explanation.)