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First post, go easy.

Trying to do some basic calculations on how to find when a steel cantilever beam will yield when a load is applied to the free end of the beam. I have attached my best MS Paint diagram of the problem. Assume the left end is clamped and essentially a fixed end. Failure is when the "beam" permanently deforms (yields)

E - Modulus of Elasticity 200 GPa 29000 ksi

G - Shear Modulus 80 GPa

I - (1/12)(25mm)(4mm)^3 133.33 mm^4

L - 60 mm

I have done typical axial stress-strain problems in undergrad, and I have done bending moment, shear, deflection, diagrams of beams, but never analyzed a beam in this way for failure.

I think if calculate the shear stress at O as a function of the load applied at the other end, L, and find when that shear exceeds the shear stress for yielding, that might be the answer I'm looking for. BUT, how do I determine the yield point? I know it's going to be very clear once I get the problem framed correctly, but I'm not connecting all the dots.

Any validity to this line of thinking?

This isn't a homework problem, it's for a project I'm working on.

The application is a latch securing between a door and a frame with by a rotating arm (cam).

Need some preliminary numbers. Help me get started! Thanks!

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# Cantilever Beam Failure as a function of Force Applied to Free End

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