4. A bridge beam of a 0.4%C steel is subjected to fully reversed cyclic stresses from freight rail traffic loads. Each train induces a cyclic stress amplitude on the beam of 400 MPa, and 20 trains cross the bridge each day. Using the S-N curve below and Miner's rule, what is the percent damage of the beam after 10 years? How many total years will it take for the beam to be 90% damaged?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4. A bridge beam of a 0.4%C steel is subjected to fully reversed cyclic stresses from freight
rail traffic loads. Each train induces a cyclic stress amplitude on the beam of 400 MPa,
and 20 trains cross the bridge each day. Using the S-N curve below and Miner's rule,
what is the percent damage of the beam after 10 years? How many total years will it
take for the beam to be 90% damaged?
600
500
0.4%C
steel
400
300
2000 series
Al-Cu
200
100
103
104
105
106
107
108
109
Cycles to failure (N,)
Damage at 10 Years (%)
Years until 90% damaged:
Stress amplitude (a,)
Transcribed Image Text:4. A bridge beam of a 0.4%C steel is subjected to fully reversed cyclic stresses from freight rail traffic loads. Each train induces a cyclic stress amplitude on the beam of 400 MPa, and 20 trains cross the bridge each day. Using the S-N curve below and Miner's rule, what is the percent damage of the beam after 10 years? How many total years will it take for the beam to be 90% damaged? 600 500 0.4%C steel 400 300 2000 series Al-Cu 200 100 103 104 105 106 107 108 109 Cycles to failure (N,) Damage at 10 Years (%) Years until 90% damaged: Stress amplitude (a,)
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