Beam Calculation

Have you considered the strut and tie method?

No I haven't, is there other way besides the strut and tie method?

Can't you simply check the 200 thick part in bending, to check it won't snap off?

I would look at it like as beam with a fix support and a moment load on the free tip. But I would also verify the shear transfer at the section you would consider fixed.

That's not bending that's torsion

I don't think it is bending tomfh, I've drawn the 3D to help visualize the image above

If the load was applied at the green area, yes that is bending and I can do a simple beam analysis

But the load was actually applied on the yellow part of the beam, what kind of analysis besides strut and tie that might help me solve this problem?

BTW does my image represent what you meant ENGIRL?

lexpatrie, does this kind of loading could be classified as torsion?

Yes, I would verify if the stirrups are enough to resist to torsion. And also verify if the area that is fixed resists to shear transfer.