3D object skew transform

[omidmostachfi]

I have a complex 3D object that I've created. I'm wondering if there is a way in fusion 360 to do a transform on the object so everything is angled at 45 Deg along one axis.  Mathematically, we'd have x'=x; y'=y+z; z'=z, see drawing below.

Note: I realize I can skew a 2D sketch at an angle by sweeping at 45 deg. What I'm looking for is how to transform an existing 3D object (the object is complex, not a simple cube, so redrawing it would be too difficult).

[jhackney1972]

I am guessing the technique for doing this with a Cube will not be applicable to a more complex model since I am changing the angle of the cube internal sketch.  Skewing a model directly I think will be hard in Fusion 360 since it does not have a "Stretch" command.  Model is attached

[omidmostachfi]

Thank you very much for the video. Unfortunately, my part includes numerous sketches at various angles, fillets, holes, threaded parts, so I need to apply a global transform. If that’s not an option in fusion 360, I wonder whether there are any other programs that could do this on an exported 3MF file?

[TrippyLighting · Accepted solution]

The shear tool in Blender will do exactly that.

3MF is a format hosting triangulated meshes and is not a format that works well as design input to Fusiosn360.

To work with this format in Blender you'll first have to find a plugin that reads 3mf into Blender and install it.

[omidmostachfi]

That’s awesome. Thank you. My project is a native fusion 360 file so I can export it in whatever format Blender needs (I just said 3mf as an example). 
Thank you for your help. 

[TrippyLighting]

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@omidmostachfi wrote:

... My project is a native fusion 360 file so...

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Just be aware that to export it into Blender, you'll have to export it into  a triangulated mesh format use. obj.

However, be advised that if you want to re-import the object into Fusion 360 and do further modeling work might be very difficult!

[david.milan213]

I may be late to the party, but I'll leave this here since this was the first result I came across when searching for solutions.

According to linear algebra a skew transformation can be composed as the product of rotation and non-uniform scaling, which are available operations in Fusion 360. I have successfully aplied this for a decorative element where I could 'eyeball' these operations.

For a mathematically rigorous procedure I found this:
https://stackoverflow.com/questions/18362043/shear-matrix-as-a-combination-of-basic-transformation