LO #$8$: Stress and Strain Rubrics. Students need to be able to:

Calculate the normal and shear strain for any object

Understand and use terms related to mechanical properties of materials including: elastic, plastic, necking, strain hardening, yielding, yield stress limit$,$ ultimate stress, fracture stress, true fracture stress

Use Hooke's law to calculate stress and stress $($for both normal and shear stress$)$

Understand and use terms related to mechanical properties of materials including: Poisson's ratio, strain energy, moduli of resilience and toughness, permanent set

A steel tube with inner diameter of $3\mathrm{.}52$ in $.$ has a nylon bar $($assume $E=450$ksi and $v=0\mathrm{.}35)$ inserted into it with an outer diameter of $3\mathrm{.}50$ in $.$ The nylon bar is then compressed by an axial force $P$ until the space between the nylon and the steel is closed. What force is required to close the gap? Once the gap is closed, the nylon is cut and end caps are welded onto the steel tube. If the allowable axial stress in the steel is $55$ ksi, what is the smallest outside diameter, D$,$ of the steel tube with a factor of safety of $1\mathrm{.}5?$