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Arizona State University *

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MISC

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Mechanical Engineering

Date

Jan 9, 2024

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1

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PRACTICE PROBLEMS Questions | through 4 pertain to either a 2024-T4 aluminum alloy used for lightweight automobile components or a 130B titanium alloy used in nuclear attack submarines. The S-N endurance data (SQ percent survival) for the two alloys is shown below. The tensile strengths are 70,000 psi and 155,000 psi for aluminum and titanium, respectively. 120 _ ] | e i | X 100 T ' 8 M . L '{t Y Titanium S 80 3 £ E < 60 - ) L g 3 b n 40 e b "N L Alyming g S q>> 20 (14 0 10° 104 109 108 107 Cycles to Failure 10¢ I. What is the fatigue strength for the 2024-T4 aluminum alloy used for lightweight auto components? If subjected to a cyclic stress featuring a mean stress of 15 ksi, what is the maximum allowable stress amplitude if 50 percent of all material specimens are to survive 10 cycles? Note: 6,,,=70 ksi 2. What is the endurance or fatigue limit for 130B titanium alloy used in nuclear attack submarines? If subjected to a cyclic stress amplitude of 60 ksi, what is the maximum mean stress that could be tolerated on the average, so that no failures are expected? Note: 6,,=155 ksi A chassis support member made from 2024-T4 aluminum accumulates the following cyclic stress histories: Stress Condition | 2 3 Maximum Stress 55 ksi 50 ksi 32.5 ksi Minimum Stress -55 ksi 20 ksi 2.5 ksi # of Cycles 20,000 5,000,000 n; Find the number of cycles ny for the stress condition 3 that the member can accumulate after experiencing the cyclic stress history of stress conditions 1 and 2. Base all calculations on 50 percent survival rates. Note: 6,,=70 ksi 173
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