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3. (8%) An aircraft bell crank is made from aluminum with the properties: yielding strength 275 MPa; ultimate strength 320 MPa; and endurance limit

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3. (8%) An aircraft bell crank is made from aluminum with the properties: yielding strength 275 MPa; ultimate strength 320 MPa; and endurance limit 90 MPa reduced to 60 MPa by various de-rating factors. The bell crank is subjected to fluctuating loads from 44 MPa and 70 MPa. (a) Please plot the constant life fatigue diagram (alternating stress vs. mean stress) with Goodman line and located the fluctuating stresses in the graph. (b) A safety factor of 3 is used in this design. Is this safety factor acceptable?

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