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Can I use the principal of superposition to calculate the stresses on a loaded timber beam that has a steel plate bonded to the bottom while the load is applied?

I was considering reinforcing timber floor joists by bonding a steel plate to the bottom surface of the joist between its bearings. As the joist is already loaded, this situation is different to designing a composite steel and timber beam. The joist will be subject to bending and shear stresses...

Has anyone come across anything similar?

Firstly, I would like to thank Austim and Mapestru for your comments. The system I have described above is understandably very crude. Please do not think of the system as a finished product, more the first stage of development. For the purpose of this project, I am using punched steel plates...

Flame. I would like to thank you for your post. Can you point me in the direction of any research or texts regarding this subject?

I would like to thank RiBeneke and Austin for replying to my post. The project I have proposed is to reinforce concrete beams using internal plates in place of deformed bars. The beams will be reinforced with top and bottom plates. The plates will separated using a threaded bar system...

Can anyone help me with imformation regarding plate reinforced concrete beams or elements? I am thinking on doing a project on reinforcing concrete beams using different forms of plate or mesh type sections. I am not aware of similar systems in use today.