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CRE · Question #336

A component has a strength of 8000 psi and a standard deviation of 1200 psi. It needs to withstand a load with a mean value of 5000 psi and a standard deviation of 500 psi. Both strength and load…

The correct answer is B. 0.0104. See the full explanation below for the reasoning.

Reliability in Design and Development

Question

A component has a strength of 8000 psi and a standard deviation of 1200 psi. It needs to withstand a load with a mean value of 5000 psi and a standard deviation of 500 psi. Both strength and load are normally distributed. What is the probability of failure for the component?

Options

  • A0.0174
  • B0.0104
  • C0.0059
  • D0.0014

How the community answered

(31 responses)
  • A
    6% (2)
  • B
    71% (22)
  • C
    19% (6)
  • D
    3% (1)

Topics

#stress-strength interference#probability of failure#normal distribution#design reliability

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