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; :

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; :

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 5CQ

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

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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