Problem Statement

A fellow engineer has recorded raw stress$-$strain data $($elongation vs$.$ force$)$ for several samples. Your role is to develop a MATLAB program to simplify the analysis of the many samples available and compare the results. He has provided you with $4$ samples of data. The samples include HIPS, Nylon$6,$ ABS, and Polypropylene plastics. The samples were in the form of standard 'dog bone' formats with the following characteristics.$|$

$\backslash$table$[[$Table $1$: Material Description$],[$Material$,\backslash$table$[[$Cross$-$sectional Area$],[($mm$^2)]],$Diameter $($mm$),\backslash$table$[[$Gauge Length$],[($mm$)]]],[$HIPS$,2\mathrm{.}482,1\mathrm{.}7777,18],[$Nylon$6,2\mathrm{.}482,1\mathrm{.}7777,18],[$ABS$,2\mathrm{.}482,1\mathrm{.}7777,18],[$Polypropylene$,2\mathrm{.}482,1\mathrm{.}7777,18]]$

The code must ask for the cross$-$sectional area, diameter, and gauge length. $($i$.$e$.$ The code must be interactive. When the code is ran, it should ask about the data path$/$folder$/$address$,$ it should say $"$Is the cross$-$sectional area circular? $[$Y$/$N$]"$ then be followed by several interactive questions.$)$ Expectations are to provide: Elongation Curves $($Position vs$.$ Load$),$ Stress Strain Curves $($Strain vs Stress$),$ Modulus of Elasticity, Ultimate Stress, and Fracture for each material. Plot elongation curves and Stress Strain curves on the same plot so they can be readily compared. Include legends. The MATLAB code should be able to be run for each dataset with output presented for easy understanding of the results in the Engineering Analysis Format. The code must have comments for every line explaining what is going on$.$

$\backslash$table$[[$Table $2$: Data Description$],[,$Parameter,Units$],[\backslash$table$[[$Elongation$],[$Data$]],$Load,Newtons$],[,$Position,mm$],[,$Time,sec$],[,,],[,,]]$

$\backslash$table$[[$Table $3$: File Descriptions,$],[$File Name,Sample Name$],[$HIPS$\_51\_16\_01\_21\_19\_15.$cSv$,$HIPS$],[$Nylon$6\_61\_16\_01\_21\_19\_20.$cSV$,$Nylon$6],[$ABS$\_71\_16\_01\_21\_19\_25.$cSV$,$ABS$],[$Poly$\_81\_16\_01\_21\_19\_39.$csv$,$Polypropylene$],[,]]$

Background

For extensive background see

EngineeringToolbox.com and other sources.

An Elongation Curve represents Position vs$.$ Load. This illustrates the raw data as collected.

A Stress Strain Curve represents Strain vs$.$ Stress. Although the Stress Strain elongation curves looks visually very similar to the Stress Strain Curve, the axes are different.

Stress $(MPa)=\frac{\text{L}\text{o}\text{a}\text{d}(\text{N}\text{e}\text{w}\text{t}\text{o}\text{n}\text{s})}{\text{C}\text{r}\text{o}\text{s}\text{s}-sectional\text{A}\text{r}\text{e}\text{a}(m^2)}$

Strain $=\frac{\text{E}\text{l}\text{o}\text{n}\text{g}\text{a}\text{t}\text{i}\text{o}\text{n}(m)}{\text{G}\text{a}\text{u}\text{g}\text{e}\text{L}\text{e}\text{n}\text{g}\text{t}\text{h}(m)}$

Modulus of elasticity is the slope of the early linear portion of the curve. Sometimes there is a small phase prior to the linear portion, which is usually ignored, as it is where some slack in the sample is taken up$.$

Ultimate stress is the maximum stress measured.

Fracture stress is the stress value when the sample fractures $($breaks$).$ Matlab code with the correct way to use the files and have matlab read it$.$