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 6.2P

See similar textbooks

Similar questions

Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?
The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.
A load applied to a machine component results in the state of plane stress ?x=80 MPa, ?y=100 MPa, ?xy=60 MPa. The component is made of a brittle high-strength steel that follows the maximum normal stress criterion with ?u=200 MPa. If increasing the load increases each stress component proportionally, determine the percentage increase that can be applied before the component fails.
As shown, an aluminium alloy construction BCD with a circular cross section is fixed at end B and affected by a force of 150 N at the free end D. The diameter of the cross-section a-a is 20 mm. The yield strength of the material is 80 MPa: a) Determine the stresses at point A of the a-a cross-section. As indicated in the picture, draw the stress element in Cartesian coordinates and specify the stress values.(b) Calculate the factor of safety, n for Tresca, and the von Mises yield criterion to see if the structure would yield based on the stresses at point A.(c) In the major stress area, draw the yield loci of both criteria and indicate the operational stress state & why is the Rankine failure criterion inappropriate for aluminium alloys?
a) What is the stress in the bronze rod (in MPa)?b) What is the stress in the steel rod (in MPa)?
Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. P = 10 kN a. What is the stress (MPa) in the Bronze material? b. What is the stress in Aluminum in MPa? c. What is the stress in Steel in MPa?
A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of38.1 mm is pulled in tension. Use the load-elongation characteristics tabulated below. Determine the yield strength (σy) at a strain offset of 0.002.
Two solid cylindrical rods AB and BC are welded together at B and loaded as shown.a) Determine the magnitude of the force P for which the tensile stress in rod AB is 100ksi.b) What is the compressive stress at rod BC?
Determine the maximum load P that can be applied, knowing that the youngs modulus of the material is 70 GPa and the allowable stress is 22 MPa.
Sketch the idealized stress-strain curve for A36 Steel. Label and provide the appropriate values for Fy, Fu, E and ey, and eu. Note: Use the “rule of thumb” that eu =200ey . Explain in detail what each value physically represents in the material.