Example #$4$:

The $4-$mm$-$diameter cable BC is made of a steel with $E=200$ GPA. Knowing that the maximum stress in the cable must not exceed $190$ MPa and that the elongation of the cable must not exceed $6mm.$ find the maximum load $P$ that can be applied as shown.

Example #$5$:

The steel frame $(E=200$GPA $)$ shown has a diagonal brace BD with an area of $1920m{m}^2.$ Determine the largest allowable load $P$ if the change in length of member $BD$ is not to exceed $1\mathrm{.}6$ mm $.$