Review section 8.12 (Fatigue Life Prediction with Randomly Varying Loads), particularly problem 8.6. Consider a part made from aluminum: S, = 480 MPa, S = 410 MPa, S UT y 5x10 = 120 MPa (all factors included). The material is subjected to a 10 s cycle where loads are applied as shown below: σ(MPa) 340 210 160 120 -40 -60 10 t(s) a) Find the o em' ea 'm' and the number of cycles (n) for each specific overstress level (Remember the basic definition of σ and σ in this scenario oσ = σ and σ = 0) m em a ea b) Construct the Modified Goodman diagram for this material and find the lines of constant life for each load point, noting the stress level where σ for each line intersects the axis (corresponding to σ = 0). em ea c) Find the number of cycles to failure for each of the lines of constant life (from part b). Hint: You need to use the log log Slog log N plot. d) Estimate the lifetime given the 10 s cycle.

Elements Of Electromagnetics
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Review section 8.12 (Fatigue Life Prediction with Randomly Varying Loads), particularly problem 8.6.
Consider a part made from aluminum: S, = 480 MPa, S
= 410 MPa, S
UT
y
5x10
= 120 MPa (all
factors included). The material is subjected to a 10 s cycle where loads are applied as shown below:
σ(MPa)
340
210
160
120
-40
-60
10
t(s)
a) Find the o
em'
ea
'm'
and the number of cycles (n) for each specific overstress level (Remember the
basic definition of σ and σ in this scenario oσ = σ and σ = 0)
m
em
a
ea
b) Construct the Modified Goodman diagram for this material and find the lines of constant life for
each load point, noting the stress level where σ for each line intersects the axis (corresponding
to σ = 0).
em
ea
c) Find the number of cycles to failure for each of the lines of constant life (from part b). Hint: You
need to use the log log Slog log N plot.
d) Estimate the lifetime given the 10 s cycle.
Transcribed Image Text:Review section 8.12 (Fatigue Life Prediction with Randomly Varying Loads), particularly problem 8.6. Consider a part made from aluminum: S, = 480 MPa, S = 410 MPa, S UT y 5x10 = 120 MPa (all factors included). The material is subjected to a 10 s cycle where loads are applied as shown below: σ(MPa) 340 210 160 120 -40 -60 10 t(s) a) Find the o em' ea 'm' and the number of cycles (n) for each specific overstress level (Remember the basic definition of σ and σ in this scenario oσ = σ and σ = 0) m em a ea b) Construct the Modified Goodman diagram for this material and find the lines of constant life for each load point, noting the stress level where σ for each line intersects the axis (corresponding to σ = 0). em ea c) Find the number of cycles to failure for each of the lines of constant life (from part b). Hint: You need to use the log log Slog log N plot. d) Estimate the lifetime given the 10 s cycle.
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