Hi!
This standard is correct for St37 and ST52 material, but I think it is good for you to understand the process. You can find lots of equestion in different state: welded, notwelded state and in different load conditions (R and N shows us).
In the longest part you can find the equestions!
Other possibility is the internet:
Download: Fatigue estimation demo
This software can write some diagram for you.
The simplest way: You know the Smith diagram is a safety area of a material, where x axis is the mean stress axis, the y axis is the max/min stress axis. You need to know the fatigue limit. In this case the mean stress is 0 and this stress is the amplitude stress. This means, you can plot 2 points (a - and a + fatigue stress limit value) on y axle with this value. Next step: Write a 45 degree line beetwen the x and y axis! You know the UTS there for the maximum stress and the mean stress will be the same, because there is no amplitude stress! (static load!) This point will be on this line! From here there are several way and that will be the differenc beetwen Smith, Goodman etc. method. In the Smith diagram you need to know the limit stress, when the the minimum stress is 0, and the amplitude and mean stress are the same! This will be another 2 points of your diagram: x=(szigma(r=0)/2) ; y=0 and x=(szigma(r=0)/2)and y=szigma(r=0)! Now you can connect them.
Example: St37 Material
UTS=370 MPa
Fatigue stress limit = Sd(R=-1)=140 MPa
Fatigue stress limit2 = S1(R=0) =230 MPa
The points of your Smith diagram:
Points x y
1 0 140
2 115 230
3 370 370
4 115 0
5 0 -140
I hope everything was clear! (I used also the Haigh diagram, which is easier for me to use.)
Best regards
Ervin