Torsional analysis is a very important aspect of structural and mechanical engineering.
The main purpose of this analysis is to understand and predict how a structure or mechanical part will
respond to a torsional force or torque.
In this example, compare the torsional stiffness and rotation angle of a shell element with node sharing versus spot welding.

E = 207GPa,
v = 0.327
T = 250 kNmm
If closed section beam.

where $T$ is the torsional moment, $G$ is the shear modulus, ${J_{EFF}}$ is the polar moment of inertia, $\tau $ is the shear stress.
and if p=80mm (weld pitch)

Run HyperMesh and drow lines

Create - Materials
E : 207000
NU : 0.327

Create - Properties
Card Image : PSHELL
Material : (1) material1
T : 1

Assigning a property to a component.
Geom - Surfaces - Drag along Vector
direction : x-axis
distance : 500
Drag +

2D - automesh - surfs
Select all planes
element size : 4
mesh type : quads

When done creating the mesh, specify the nodes want to share.
Tool - edges
Change from comps to elems.
tolorance : 0.1
Select 4 elements 40mm from the right, then select elements 80mm apart.
Select the same for the back for symmetry.

Click preview equiv

Pressing equivalenced will share the node.
Create - Load Collector
name : spc
BCs - create - constraints
Check all dof and select left node

Create - Load Collector
name : moment
1D - rigids
Set calculate node
elem types : RBE2
Select all nodes on the right

BCs - Create - Moments
Select the created RBE2 element.
magnitude : -250000
direction : x-axis

Create - Load Steps
Analysis type : Linear Static
SPC : (1) spc
LOAD : (2) moment

Check the displacement of the OUTPUT
FORMAT : H3D
ROTATIONS : ROTA(Output the rotational displacement result)

Analysis - OptiStruct

The maximum rotational displacement in the x direction is -5.891e-3 rad.
The error from the theoretical value was about 5.0%, which was larger than I expected.
To do a spot weld, set the same except for node sharing.
Create - component
name : upper
tool - organize - collectors
select elemtns
dest component : upper

copy and return
Create - component
name : lower
tool - organize - collectors
select elemtnes
dest component : lower

copy and return
Sharing nodes with existing components and components created using equivalence.


Create - three Properties
name : upper, lower and pweld


Create - Component
name : spot_weld
Assigning a property to a component.
1D - spotweld
using elems
select upper and lower element
element config : rod
property : pweld
weld location : select upper and lower node
search tolerance : 0.1
Create - return

Analysis - Optistruct

The maximum rotational displacement in the x direction is -6.639e-3 rad.
The error from the theoretical value was about 7.0%
| ground truth | node sharing | spot weld | |
| Rotation(x) | -6.205 | -5.891 (5%) |
-6.639 (7%) |
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