of safety of 2.0. (3) Ti-5Al-2.5Sn titanium alloy

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.3.8P: A circular cylindrical steel tank (see figure) contains a volatile fuel under pressure, A strain...
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A cylindrical 1045 steel bar (see the figure below) is subjected to repeated compression-
tension stress cycling along its axis. If the load amplitude is 23,000 N, calculate the
minimum allowable bar diameter (in mm) to ensure that fatigue failure will not occur.
Assume a factor of safety of 2.0.
Maximum stress, S (MPa)
700
600
500
400
300
200
100
0
4340 steel
104
Ti-5Al-2.5Sn titanium alloy
70Cu-30Zn brass
EQ21A-T6 Mg alloy
105
1045 steel
Ductile cast iron
107
2014-T6 Al alloy
108
10⁹
106
Cycles to failure, N
Data taken from the following sources and reproduced with permission of ASM
International, Materials Park, OH, 44073: ASM Handbook, Vol. I, Properties and Selection:
Irons, Steels, and High-Performance Alloys, 1990; ASM Handbook, Vol. 2, Properties and
Selection; Nonferrous Alloys and Special- Purpose Materials, 1990; G. M. Sinclair and
W. J. Craig, "Influence of Grain Size on Work Hardening and Fatigue Characteristics of Alpha
Brass," Transactions of ASM, Vol. 44, 1952.
Transcribed Image Text:A cylindrical 1045 steel bar (see the figure below) is subjected to repeated compression- tension stress cycling along its axis. If the load amplitude is 23,000 N, calculate the minimum allowable bar diameter (in mm) to ensure that fatigue failure will not occur. Assume a factor of safety of 2.0. Maximum stress, S (MPa) 700 600 500 400 300 200 100 0 4340 steel 104 Ti-5Al-2.5Sn titanium alloy 70Cu-30Zn brass EQ21A-T6 Mg alloy 105 1045 steel Ductile cast iron 107 2014-T6 Al alloy 108 10⁹ 106 Cycles to failure, N Data taken from the following sources and reproduced with permission of ASM International, Materials Park, OH, 44073: ASM Handbook, Vol. I, Properties and Selection: Irons, Steels, and High-Performance Alloys, 1990; ASM Handbook, Vol. 2, Properties and Selection; Nonferrous Alloys and Special- Purpose Materials, 1990; G. M. Sinclair and W. J. Craig, "Influence of Grain Size on Work Hardening and Fatigue Characteristics of Alpha Brass," Transactions of ASM, Vol. 44, 1952.
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