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## Homework Statement

## Homework Equations

M = Fd

σ/y = M/I

T/J = τ/r

σalternating (σa) = σmax - σmin / 2

σmean (σm) = σmax + σmin / 2

soderberg: σa/σ'e + σm/σy = 1/FoS

## The Attempt at a Solution

I am still unsure whether my progress so far is correct but..

I have calculated J to be 38.35e-9 m

^{4}and I to be 19.17e-9 m

^{4}. I then use these values in the shear stress and normal stress equations to find that:

σ = 82.16 MPa

τ = 41.07 MPa

I apply these values to a loading element diagram (am I right in thinking there is no force in the y direction??) and then used Mohrs circle to find that the maximum and minimum principal stresses are:

σmax = 99.17 MPa

σmin = -17.01 MPa

When applying these values to the σalternating and σmean equations, I am not sure whether it is expressed as:

σa = σmax - σmin / 2

σa = 99.17 - (-17.01) / 2 OR

σa = 99.17 - 17.01 / 2

After I get the correct σa and σm values and I need to find a suitable factor of safety, I'll have σa, σm, σy but im not sure how im to find the σ'e, or is there a different method to finding a suitable factor of safety?

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