A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x Ng = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress amin = -213 MPa, the maximum stress a,max = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude a, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa Om : MPa b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) |N; :

Structural Analysis
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Chapter2: Loads On Structures
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A steel component is subjected to alternate cyclical loading.
The steel follows Basquin's law for high cycle fatigue, o, x N = C,
(where the stress amplitude is in MPa).
Ignore the geometric detail and assume that Marin's modifying
factors are all equal to 1.
You are given
the minimum stress ain = -213 MPa,
the maximum stress omax = 213 MPa.
The material data are
Tensile strength oUTS = 539 MPa,
Basquin's constant c, = 875 MPa,
Basquin's exponent a = 0.085.
a) Calculate the stress ratio R, the stress amplitude o, in MPa and
the mean stress am in MPa.
The answers are acceptable with a tolerance of 0.01 for R and of
1 MPa the stresses.
R:
MPa
MPа
b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1
106 cycles)
N :
Transcribed Image Text:A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :
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