Question

A fatigue test was conducted in which the mean stress was 90 MPa (13050 psi), and the stress amplitude was 190 MPa (27560 psi). (a) Compute the maximum stress level. Entry field with correct answer 280 MPa (b) Compute the minimum stress level. Entry field with correct answer -100 MPa (c) Compute the stress ratio. Entry field with correct answer -0.36 (d) Compute the magnitude of the stress range.

Answer 1

a) 280MPa

b) -100MPa

c) -0.35

d) 380 MPa

Step-by-step explanation:

GIVEN DATA:

mean stress
`\sigma_m = 90MPa`

stress amplitude
`\sigma_a = 190MPa`

a)
`\sigma_m =(\sigma_max+\sigma_min)/(2)`

`90 =(\sigma_(max)+\sigma_(min))/(2)` --------------1

`\sigma_a =(\sigma_(max)-\sigma_(min))/(2)`

`190 = (\sigma_(max)-\sigma_(min))/(2)` -----------2

solving 1 and 2 equation we get

`\sigma_(max) = 280MPa`

b)
`\sigma_(min) = - 100MPa`

c)

stress ratio
`=(\sigma_(min))/(\sigma_(max))`

`=(-100)/(280) = -0.35`

d)magnitude of stress range

`=(\sigma_(max) -\sigma_(min))`

= 280 -(-100) = 380 MPa