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A rotating shaft is made of AISI 1035 CD steel is subjected to an axial load of 710N

A rotating shaft is made of AISI 1035 CD steel is subjected to an axial load of 710N, a fluctuating torque load from 60 to 120 N.m, and a completely reversed bending moment of 160N.m. The shaft has a diameter of 30mm, and operates at T=250°C, and has a life reliability of 95%. Note that the fatigue stress-concentration factor for bending Kfb is 1.49 and that for torque Kft is 2.65.

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.1. Draw the Yield (Langer) line 

2. Modified Goodman line. 

3. Calculate the stress due to axial load 

4. Calculate the bending stress for the shaft 

5. Calculate the shear stress due to torque 

6. Find and om for each stress 

7. Calculate the Van Mises σ. and ơn for the combined loads 

8. Calculate the static factor of safety using Langer line theory 

9. Calculate the fatigue factor of safety using Goodman theory 

10. Draw the load line r 

11. Find the intersection point between Langer line and Goodman line 

12. Draw the critical load line re 

13. When the factor of safety for fatigue is larger than the static factor of safety 

14, If σa'=120MPa and ơm'=75MPa. Calculate the fatigue factor of safety using Goodman theory. And if the factor of safety is less than one, what is the life time for this type of stress Knowing that f=0.9.

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