The component shown below is made of AISI 4340 Oil Quenched at 800^oC and Temper at 625^oC 1hour (σ_yield=90ksi; σ_TS=110ksi) tubular steel. The component, a non-rotating closed end tube with an OD=1.25in and ID=1.0in, is subjected to a fluctuating load (see arrow) that varies between 5F and F. 

Data: The component has been cold rolled, operates at room temperature and needs a reliability of 97.5%. The design has a safety factor of 1.25. The static stress concentrations at the section HKLM are as follows: for axial stress (1.7), bending stress (1.9), torsional stress (1.68) and shear (transverse) stress (1.5). For the determination of the dynamic stress concentrators consider a fillet radius of 0.05in. Use Modified Goodman criterium.

For point L (located opposite to point H as shown)  determine the following:

Use at least four decimal places in your calculations:

The area of the section HKLM (in in^2)

The Neubers constant (in √in \sqrt{in}  

The dynamic stress concentration for axial loading 

The Marin correcting factor for surface finish (k_surf) 

The corrected endurance limit (in psi) 

The mean axial stress (in psi) 

The required force for infinite life (in lb-f)