Figure 1 shows the stress-number cycles to failure (S-N) curve for a cylindrical acetal polymer bar. The cylindrical bar is 200 mm long and 15 mm in diameter is subjected to a vibrational load at one end of the bar at a frequency of 500 vibrations per minute with a load of 50 N. 50 8 Stress amplitude (MPa) 30 20 10 104 106 Cycles to failure Figure 1: The S-N fatigue curve for an acetal polymer. 107 108 (i) Evaluate the duration (in hours) the part will survive before breaking?

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Figure 1 shows the stress-number cycles to failure (S-N) curve for a cylindrical acetal
polymer bar. The cylindrical bar is 200 mm long and 15 mm in diameter is subjected to a
vibrational load at one end of the bar at a frequency of 500 vibrations per minute with a
load of 50 N.
60
50
8
Stress amplitude (MPa)
30
20
10
105 106 107 108
Cycles to failure
Figure 1: The S-N fatigue curve for an acetal polymer.
104
(i) Evaluate the duration (in hours) the part will survive before breaking?
(ii) Suppose the cylindrical bar is to survive for one million cycles under conditions that
provide for equal compressive and tensile stresses. Evaluate the maximum stress, the
minimum stress, and the mean stress on the part during its use. Explain the effect of
frequency on the stress application would have on your answers.
Transcribed Image Text:Figure 1 shows the stress-number cycles to failure (S-N) curve for a cylindrical acetal polymer bar. The cylindrical bar is 200 mm long and 15 mm in diameter is subjected to a vibrational load at one end of the bar at a frequency of 500 vibrations per minute with a load of 50 N. 60 50 8 Stress amplitude (MPa) 30 20 10 105 106 107 108 Cycles to failure Figure 1: The S-N fatigue curve for an acetal polymer. 104 (i) Evaluate the duration (in hours) the part will survive before breaking? (ii) Suppose the cylindrical bar is to survive for one million cycles under conditions that provide for equal compressive and tensile stresses. Evaluate the maximum stress, the minimum stress, and the mean stress on the part during its use. Explain the effect of frequency on the stress application would have on your answers.
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