Question

2. The yield strength of the material follows normal distribution: $S_y \sim N(61000,6000)psi$. The length of the bar is $L = 12 \pm 0.010$. A round bar of this material is subjected to axial static load which follows the normal distribution: $F_a \sim N(5000,450)lb$. The Young's modulus of the material follows normal distribution: $E \sim N(29 \times 10^6, 5.8 \times 10^5)psi$. It is assumed that the round bar will have the dimension tolerance $\pm 0.005$" (1) Design the component with the reliability of 0.99. (2) Design the component with the reliability of 0.99 and the maximum allowable axial deflection is 0.030".

          2. The yield strength of the material follows normal
distribution: $S_y \sim N(61000,6000)psi$. The length of the bar is $L = 12 \pm 0.010$. A round bar of
this material is subjected to axial static load which follows the normal distribution:
$F_a \sim N(5000,450)lb$. The Young's modulus of the material follows normal distribution:
$E \sim N(29 \times 10^6, 5.8 \times 10^5)psi$. It is assumed that the round bar will have the dimension
tolerance $\pm 0.005$"
(1) Design the component with the reliability of 0.99.
(2) Design the component with the reliability of 0.99 and the maximum allowable axial deflection
is 0.030".

2. The yield strength of the material follows normal
distribution: Sy ∼ N(61000,6000)psi. The length of the bar is L = 12 ± 0.010. A round bar of
this material is subjected to axial static load which follows the normal distribution:
Fa ∼ N(5000,450)lb. The Young's modulus of the material follows normal distribution:
E ∼ N(29 × 10^6, 5.8 × 10^5)psi. It is assumed that the round bar will have the dimension
tolerance ± 0.005"
(1) Design the component with the reliability of 0.99.
(2) Design the component with the reliability of 0.99 and the maximum allowable axial deflection
is 0.030".

Added by Antonia S.

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