How to get stress tensor from force

1. Oct 31, 2015

wahaj

1. The problem statement, all variables and given/known data
I'm analyzing the landing gear of a plane for an extracurricular project. I know that the landing gear will undergo impact loading during touch down. Using what we've been taught, I converted the impact load to a static load, P that will act on the landing gear. Now I need to know how much stress the gear will be under so I can select the best material to make it out of. There is no specific problem statement, see picture for a diagram of what I'm trying to do. I got the normal stress, but how would I get the bending stress at the root ($\sigma_n$)? I don't know if the beam bending formula is the right one to use here. I need to get the stress tensor so I can use the failure theories to select the best material.

2. Relevant equations
$$\sigma = \frac{N}{A}$$
$$\sigma = \frac{Mc}{I}$$

3. The attempt at a solution
See attached image

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2. Nov 6, 2015