Problem #$2(20\%)$: A vertical round rod is used to hang a weight. The information about

tolerances are as given below. What should be the design factor so that the stress does not

exceed strength?

Hint: $$

a$)$ Eccentricity will create a moment $-$ consider the stress generated by the moment.

b$)$ The area moment of inertia for a circular cross section is $\frac{d^4}{64}.$

Eccentricity of loading: $\frac{+}{-}1\mathrm{.}5\%$ of $\text{'}d\text{'}$

Load $P$ is within $\frac{+}{-}2\%$

Strength is known within $\frac{+}{-}3\mathrm{.}5\%$