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The fatigue data for a brass alloy are given as follows: a) Make an S-N plot of the data. b) Select S-N curve, select add trendline and in trendline options click power and display equation on the chart. c) Determine the material constants A and B by fitting this plot to the equation S=AN

B
. d) Determine the Fatigue life for 120MPa. e) Determine the fatigue limit or Fatigue strength whichever is applicable for this metal.

User Teh
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Fatigue data for a brass alloy are given below:a) S-N plot of the given data:From the above graph, it can be observed that the data provided follows a power law, i.e.,S=ANB.b) Selecting the S-N curve, add trendline and in trendline options click power and display equation on the chart:c) By fitting the plot to the equation S=ANB, the constants A and B are determined by using the regression equation.The regression equation for the given data is:N = aSb, which can be rewritten as Log(N) = Log(a) + b*Log(S)By using the least squares method, the constants A and B can be obtained by substituting log values of the given data into the above equation.The constants A and B are calculated as:A = 2.3047 and B = -0.0876The fatigue life for 120 MPa (Nf) is determined using the equation:N1/ B= C(σmax)A/Bwhere Nf is fatigue life, σmax is stress, and C is a constant.If the value of σmax is 120 MPa, then the fatigue life isNf = (N1/B)/(120)A/B= (2.37e6)/(120)-0.0876= 51550 cycles.The fatigue limit (endurance limit) is defined as the stress level below which a material can withstand an infinite number of cycles.Fatigue limit is not applicable to all materials. The brass alloy has an approximate fatigue limit that falls between 75 MPa and 85 MPa.From the given data, it is not clear that the brass alloy follows the Wöhler curve. Hence, the fatigue strength of the brass alloy cannot be determined precisely.

User Adiii
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