INGE $4019$ Homework $2-$

Basic Concepts of Mechanics of Materials

Problem $1-$ Given the force and deflection data for a stress strain test for a cylinder of $11$ inches long and a diameter of $0\mathrm{.}75$ inches determine the following

A$.$ Determine and graph the engineering stress and engineering strains for this part

B$.$ From the graph determine the Modulus of Elasticity

C$.$ From the graph determine the Yield point, the tensile strength, the elastic region and the plastic region.

D$.$ Determine the toughness of this material.

E$.$ If a stress of $0\mathrm{.}5{}_{yp}$ is applied determine the length of the part while the stress is applied

F$.$ If a stress of $1\mathrm{.}25{}_{\text{y}\text{p}\text{i}\text{s}}$ applied determine the length of the part while the stress is applied and when the stress is removed.

$\backslash$table$[[$lbf$,$inches$],[$force$,$elongantion$],[0\mathrm{.}00,0\mathrm{.}00000],[1,000\mathrm{.}00,0\mathrm{.}00020],[2,000\mathrm{.}00,0\mathrm{.}00060],[6,000\mathrm{.}00,0\mathrm{.}00190],[10,000\mathrm{.}00,0\mathrm{.}00330],[12,000\mathrm{.}00,0\mathrm{.}00390],[12,900\mathrm{.}00,0\mathrm{.}00430],[13,400\mathrm{.}00,0\mathrm{.}00470],[13,600\mathrm{.}00,0\mathrm{.}00540],[13,800\mathrm{.}00,0\mathrm{.}00630],[14,000\mathrm{.}00,0\mathrm{.}00900],[14,400\mathrm{.}00,0\mathrm{.}01020],[15,200\mathrm{.}00,0\mathrm{.}01300],[16,800\mathrm{.}00,0\mathrm{.}02300],[18,400\mathrm{.}00,0\mathrm{.}03360],[17,500\mathrm{.}00,0\mathrm{.}05070],[16,000\mathrm{.}00,0\mathrm{.}06500]]$